# 有限模型信賴區間覆蓋率基礎 · 脈衝 R03

本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。

本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。

batch-20261015-advance-20261118-r03-finite-confidence-interval-coverage-foundations · 2026-10-15 · 100 題

欄序為來源綁定的呈現補充；原始 JSONL 與數學答案不變。

[欄序與來源綁定資料](https://ocme.evemisslab.com/data/i18n/question-output-protocols.json)



## 1. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[1/3, 2/3], [2/3, 1/3]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[1/3, 2/3], [2/3, 1/3]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0001/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 2. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[1/2, 1/2], [1/2, 1/2]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[1/2, 1/2], [1/2, 1/2]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0002/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 3. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[3/5, 2/5], [2/5, 3/5]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[3/5, 2/5], [2/5, 3/5]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0003/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 4. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[2/3, 1/3], [1/3, 2/3]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[2/3, 1/3], [1/3, 2/3]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0004/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 5. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[5/7, 2/7], [2/7, 5/7]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[5/7, 2/7], [2/7, 5/7]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0005/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 6. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[3/4, 1/4], [1/4, 3/4]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[3/4, 1/4], [1/4, 3/4]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0006/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 7. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[7/9, 2/9], [2/9, 7/9]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[7/9, 2/9], [2/9, 7/9]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0007/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 8. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[4/5, 1/5], [1/5, 4/5]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[4/5, 1/5], [1/5, 4/5]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0008/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 9. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[9/11, 2/11], [2/11, 9/11]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[9/11, 2/11], [2/11, 9/11]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0009/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 10. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[5/6, 1/6], [1/6, 5/6]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[5/6, 1/6], [1/6, 5/6]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0010/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 11. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[11/13, 2/13], [2/13, 11/13]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[11/13, 2/13], [2/13, 11/13]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0011/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 12. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[6/7, 1/7], [1/7, 6/7]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[6/7, 1/7], [1/7, 6/7]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0012/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 13. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[13/15, 2/15], [2/15, 13/15]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[13/15, 2/15], [2/15, 13/15]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0013/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 14. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[7/8, 1/8], [1/8, 7/8]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[7/8, 1/8], [1/8, 7/8]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0014/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 15. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[15/17, 2/17], [2/17, 15/17]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[15/17, 2/17], [2/17, 15/17]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0015/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 16. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[8/9, 1/9], [1/9, 8/9]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[8/9, 1/9], [1/9, 8/9]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0016/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 17. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[17/19, 2/19], [2/19, 17/19]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[17/19, 2/19], [2/19, 17/19]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0017/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 18. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[9/10, 1/10], [1/10, 9/10]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[9/10, 1/10], [1/10, 9/10]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0018/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 19. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[19/21, 2/21], [2/21, 19/21]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[19/21, 2/21], [2/21, 19/21]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0019/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 20. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[10/11, 1/11], [1/11, 10/11]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[10/11, 1/11], [1/11, 10/11]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0020/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 21. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[21/23, 2/23], [2/23, 21/23]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[21/23, 2/23], [2/23, 21/23]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0021/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 22. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[11/12, 1/12], [1/12, 11/12]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[11/12, 1/12], [1/12, 11/12]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0022/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 23. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[23/25, 2/25], [2/25, 23/25]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[23/25, 2/25], [2/25, 23/25]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0023/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 24. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[12/13, 1/13], [1/13, 12/13]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[12/13, 1/13], [1/13, 12/13]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0024/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 25. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-procedure-qualification；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[1,1]]}。請依 [theta_values, samples, aligned_closed_intervals, aligned_probability_rows, procedure_qualified, qualification_statement] 欄序回答。

intervals對齊samples，機率rows對齊theta與samples；procedure須預先固定、total且不依未知theta。凍結helper跨兩位數theta排序的未採用診斷另存；目前題庫全用[0,1]。

查看答案與解釋([0, 1], [a, b], [[0, 0], [1, 1]], [[25/27, 2/27], [2/27, 25/27]], 是, total_precommitted_theta_independent_interval_procedure)

Wave6第十二層核對=([0, 1], [a, b], [[0, 0], [1, 1]], [[25/27, 2/27], [2/27, 25/27]], 是, total_precommitted_theta_independent_interval_procedure)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0025/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-procedure-qualification · candidate





## 26. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 1/3], [1, 1/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 1/3], [1, 1/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0026/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 27. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 1/2], [1, 1/2]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 1/2], [1, 1/2]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0027/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 28. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 3/5], [1, 3/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 3/5], [1, 3/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0028/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 29. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 2/3], [1, 2/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 2/3], [1, 2/3]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0029/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 30. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 5/7], [1, 5/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 5/7], [1, 5/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0030/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 31. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 3/4], [1, 3/4]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 3/4], [1, 3/4]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0031/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 32. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 7/9], [1, 7/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 7/9], [1, 7/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0032/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 33. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 4/5], [1, 4/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 4/5], [1, 4/5]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0033/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 34. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 9/11], [1, 9/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 9/11], [1, 9/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0034/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 35. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 5/6], [1, 5/6]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 5/6], [1, 5/6]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0035/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 36. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 11/13], [1, 11/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 11/13], [1, 11/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0036/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 37. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 6/7], [1, 6/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 6/7], [1, 6/7]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0037/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 38. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 13/15], [1, 13/15]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 13/15], [1, 13/15]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0038/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 39. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 7/8], [1, 7/8]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 7/8], [1, 7/8]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0039/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 40. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 15/17], [1, 15/17]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 15/17], [1, 15/17]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0040/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 41. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 8/9], [1, 8/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 8/9], [1, 8/9]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0041/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 42. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 17/19], [1, 17/19]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 17/19], [1, 17/19]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0042/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 43. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 9/10], [1, 9/10]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 9/10], [1, 9/10]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0043/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 44. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 19/21], [1, 19/21]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 19/21], [1, 19/21]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0044/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 45. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 10/11], [1, 10/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 10/11], [1, 10/11]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0045/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 46. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 21/23], [1, 21/23]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 21/23], [1, 21/23]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0046/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 47. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 11/12], [1, 11/12]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 11/12], [1, 11/12]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0047/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 48. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 23/25], [1, 23/25]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 23/25], [1, 23/25]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0048/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 49. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 12/13], [1, 12/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 12/13], [1, 12/13]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0049/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 50. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-pointwise-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[1,1]]}。請依 [pointwise_coverage_table, coverage_definition, frequentist_scope] 欄序回答。

查看答案與解釋([[0, 25/27], [1, 25/27]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)

Wave6第十二層核對=([[0, 25/27], [1, 25/27]], coverage_theta=P_theta(theta_in_I(X)), not_a_posterior_probability)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0050/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-pointwise-coverage · candidate





## 51. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 1/3], [1, 1/3]], 1/3, 1/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 1/3], [1, 1/3]], 1/3, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0051/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 52. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 1/2], [1, 1/2]], 1/2, 1/2, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 1/2], [1, 1/2]], 1/2, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0052/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 53. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 3/5], [1, 3/5]], 3/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 3/5], [1, 3/5]], 3/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0053/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 54. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 2/3], [1, 2/3]], 2/3, 2/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 2/3], [1, 2/3]], 2/3, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0054/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 55. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 5/7], [1, 5/7]], 5/7, 5/7, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 5/7], [1, 5/7]], 5/7, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0055/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 56. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 3/4], [1, 3/4]], 3/4, 1/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 3/4], [1, 3/4]], 3/4, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0056/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 57. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 7/9], [1, 7/9]], 7/9, 1/2, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 7/9], [1, 7/9]], 7/9, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0057/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 58. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 4/5], [1, 4/5]], 4/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 4/5], [1, 4/5]], 4/5, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0058/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 59. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 9/11], [1, 9/11]], 9/11, 2/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 9/11], [1, 9/11]], 9/11, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0059/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 60. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 5/6], [1, 5/6]], 5/6, 5/7, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 5/6], [1, 5/6]], 5/6, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0060/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 61. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 11/13], [1, 11/13]], 11/13, 1/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 11/13], [1, 11/13]], 11/13, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0061/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 62. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 6/7], [1, 6/7]], 6/7, 1/2, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 6/7], [1, 6/7]], 6/7, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0062/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 63. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 13/15], [1, 13/15]], 13/15, 3/5, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 13/15], [1, 13/15]], 13/15, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0063/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 64. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 7/8], [1, 7/8]], 7/8, 2/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 7/8], [1, 7/8]], 7/8, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0064/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 65. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 15/17], [1, 15/17]], 15/17, 5/7, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 15/17], [1, 15/17]], 15/17, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0065/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 66. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 8/9], [1, 8/9]], 8/9, 1/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 8/9], [1, 8/9]], 8/9, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0066/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 67. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 17/19], [1, 17/19]], 17/19, 1/2, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 17/19], [1, 17/19]], 17/19, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0067/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 68. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 9/10], [1, 9/10]], 9/10, 3/5, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 9/10], [1, 9/10]], 9/10, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0068/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 69. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 19/21], [1, 19/21]], 19/21, 2/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 19/21], [1, 19/21]], 19/21, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0069/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 70. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 10/11], [1, 10/11]], 10/11, 5/7, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 10/11], [1, 10/11]], 10/11, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0070/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 71. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[1,1]],"target":[1,3]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 21/23], [1, 21/23]], 21/23, 1/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 21/23], [1, 21/23]], 21/23, 1/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0071/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 72. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]],"target":[2,4]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 11/12], [1, 11/12]], 11/12, 1/2, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 11/12], [1, 11/12]], 11/12, 1/2, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0072/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 73. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]],"target":[3,5]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 23/25], [1, 23/25]], 23/25, 3/5, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 23/25], [1, 23/25]], 23/25, 3/5, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0073/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 74. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[0,0],[1,1]],"target":[4,6]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 12/13], [1, 12/13]], 12/13, 2/3, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 12/13], [1, 12/13]], 12/13, 2/3, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0074/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 75. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-worst-case-coverage；資料={"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[1,1]],"target":[5,7]}。請依 [pointwise_coverage_table, minimum_coverage, target, uniform_target_met, minimum_definition] 欄序回答。

查看答案與解釋([[0, 25/27], [1, 25/27]], 25/27, 5/7, 是, worst_case_is_minimum_over_finite_theta)

Wave6第十二層核對=([[0, 25/27], [1, 25/27]], 25/27, 5/7, 是, worst_case_is_minimum_over_finite_theta)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0075/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-worst-case-coverage · candidate





## 76. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[1,3],[2,3]],[[2,3],[1,3]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0076/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 77. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[2,4],[2,4]],[[2,4],[2,4]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(posterior_confusion, b, [1/2, 1/2], [[0, 1/2], [1, 1/2]], 否, posterior_given_observed_data_is_not_frequentist_coverage)

Wave6第十二層核對=(posterior_confusion, b, [1/2, 1/2], [[0, 1/2], [1, 1/2]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0077/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 78. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[3,5],[2,5]],[[2,5],[3,5]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(ignored_selection, [a], [[0, 3/5], [1, 3/5]], [[0, 3/5, 1], [1, 2/5, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)

Wave6第十二層核對=(ignored_selection, [a], [[0, 3/5], [1, 3/5]], [[0, 3/5, 1], [1, 2/5, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0078/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 79. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[4,6],[2,6]],[[2,6],[4,6]]],"intervals":[[4,3],[4,4]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)

Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0079/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 80. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[5,7],[2,7]],[[2,7],[5,7]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0080/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 81. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[6,8],[2,8]],[[2,8],[6,8]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(posterior_confusion, b, [1/4, 3/4], [[0, 3/4], [1, 3/4]], 否, posterior_given_observed_data_is_not_frequentist_coverage)

Wave6第十二層核對=(posterior_confusion, b, [1/4, 3/4], [[0, 3/4], [1, 3/4]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0081/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 82. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[7,9],[2,9]],[[2,9],[7,9]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(ignored_selection, [a], [[0, 7/9], [1, 7/9]], [[0, 7/9, 1], [1, 2/9, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)

Wave6第十二層核對=(ignored_selection, [a], [[0, 7/9], [1, 7/9]], [[0, 7/9, 1], [1, 2/9, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0082/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 83. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[8,10],[2,10]],[[2,10],[8,10]]],"intervals":[[8,7],[8,8]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)

Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0083/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 84. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[9,11],[2,11]],[[2,11],[9,11]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0084/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 85. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[10,12],[2,12]],[[2,12],[10,12]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(posterior_confusion, b, [1/6, 5/6], [[0, 5/6], [1, 5/6]], 否, posterior_given_observed_data_is_not_frequentist_coverage)

Wave6第十二層核對=(posterior_confusion, b, [1/6, 5/6], [[0, 5/6], [1, 5/6]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0085/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 86. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[11,13],[2,13]],[[2,13],[11,13]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(ignored_selection, [a], [[0, 11/13], [1, 11/13]], [[0, 11/13, 1], [1, 2/13, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)

Wave6第十二層核對=(ignored_selection, [a], [[0, 11/13], [1, 11/13]], [[0, 11/13, 1], [1, 2/13, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0086/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 87. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[12,14],[2,14]],[[2,14],[12,14]]],"intervals":[[12,11],[12,12]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)

Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0087/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 88. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[13,15],[2,15]],[[2,15],[13,15]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0088/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 89. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[14,16],[2,16]],[[2,16],[14,16]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(posterior_confusion, b, [1/8, 7/8], [[0, 7/8], [1, 7/8]], 否, posterior_given_observed_data_is_not_frequentist_coverage)

Wave6第十二層核對=(posterior_confusion, b, [1/8, 7/8], [[0, 7/8], [1, 7/8]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0089/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 90. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[15,17],[2,17]],[[2,17],[15,17]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(ignored_selection, [a], [[0, 15/17], [1, 15/17]], [[0, 15/17, 1], [1, 2/17, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)

Wave6第十二層核對=(ignored_selection, [a], [[0, 15/17], [1, 15/17]], [[0, 15/17, 1], [1, 2/17, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0090/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 91. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[16,18],[2,18]],[[2,18],[16,18]]],"intervals":[[16,15],[16,16]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)

Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0091/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 92. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[17,19],[2,19]],[[2,19],[17,19]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0092/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 93. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[18,20],[2,20]],[[2,20],[18,20]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(posterior_confusion, b, [1/10, 9/10], [[0, 9/10], [1, 9/10]], 否, posterior_given_observed_data_is_not_frequentist_coverage)

Wave6第十二層核對=(posterior_confusion, b, [1/10, 9/10], [[0, 9/10], [1, 9/10]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0093/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 94. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[19,21],[2,21]],[[2,21],[19,21]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(ignored_selection, [a], [[0, 19/21], [1, 19/21]], [[0, 19/21, 1], [1, 2/21, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)

Wave6第十二層核對=(ignored_selection, [a], [[0, 19/21], [1, 19/21]], [[0, 19/21, 1], [1, 2/21, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0094/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 95. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[20,22],[2,22]],[[2,22],[20,22]]],"intervals":[[20,19],[20,20]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)

Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0095/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 96. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[21,23],[2,23]],[[2,23],[21,23]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0096/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 97. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"posterior_confusion","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[22,24],[2,24]],[[2,24],[22,24]]],"intervals":[[0,0],[1,1]],"prior":[[2,4],[2,4]],"observed":"b"}}。請依 [mode, observed_sample, posterior_by_theta, pointwise_coverage_table, posterior_equals_coverage_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(posterior_confusion, b, [1/12, 11/12], [[0, 11/12], [1, 11/12]], 否, posterior_given_observed_data_is_not_frequentist_coverage)

Wave6第十二層核對=(posterior_confusion, b, [1/12, 11/12], [[0, 11/12], [1, 11/12]], 否, posterior_given_observed_data_is_not_frequentist_coverage)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0097/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 98. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"ignored_selection","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[23,25],[2,25]],[[2,25],[23,25]]],"intervals":[[0,0],[1,1]],"selected_samples":["a"]}}。請依 [mode, selected_samples, unconditional_coverage_table, selected_mass_and_conditional_coverage_by_theta, unchanged_coverage_without_recomputation_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(ignored_selection, [a], [[0, 23/25], [1, 23/25]], [[0, 23/25, 1], [1, 2/25, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)

Wave6第十二層核對=(ignored_selection, [a], [[0, 23/25], [1, 23/25]], [[0, 23/25, 1], [1, 2/25, 0]], 否, selection_must_be_included_and_coverage_recomputed_not_declared_automatically_invalid)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0098/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 99. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"invalid_procedure","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[24,26],[2,26]],[[2,26],[24,26]]],"intervals":[[24,23],[24,24]]}}。請依 [mode, procedure_valid, validation_error, procedure_qualification_claim] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)

Wave6第十二層核對=(invalid_procedure, 否, interval lower endpoint exceeds upper endpoint, 否)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0099/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate





## 100. 有限模型信賴區間覆蓋率

完整finite laws與total precommitted theta-independent interval procedure責任。操作=ci-interpretation-boundary；資料={"mode":"average_only","model":{"theta_values":[0,1],"samples":["a","b"],"probability_rows":[[[25,27],[2,27]],[[2,27],[25,27]]],"intervals":[[0,0],[0,0]],"theta_weights":[[1,3],[2,3]],"target":[1,3]}}。請依 [mode, pointwise_coverage_table, theta_weights, weighted_average, minimum_coverage, target, distinct_coverages, average_strictly_above_minimum, average_masks_target_failure, average_implies_uniform_target_claim, boundary] 欄序回答。

四種mode為11/6/6/4欄。selection條件機率在selected mass為0時為undefined；這不自動否定所有selection procedures，錯誤是未重新計算卻沿用coverage。

查看答案與解釋(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)

Wave6第十二層核對=(average_only, [[0, 1], [1, 0]], [1/3, 2/3], 1/3, 0, 1/3, 是, 是, 是, 否, average_coverage_can_mask_failure_of_uniform_target)；依完整明示資料獨立重算；pointwise coverage與worst-case minimum逐theta重算；average不等於uniform，posterior不是coverage；selection納入procedure後須重新計算。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261015-advance-20261118-r03-finite-confidence-interval-coverage-0100/)

有限模型信賴區間覆蓋率 · qf-mod49-ci-interpretation-boundary · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261015-advance-20261118-r03-finite-confidence-interval-coverage-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261015-advance-20261118-r03-finite-confidence-interval-coverage-foundations/validation-report.json)