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題名 有關卡方檢定當其期望次數少時之探討
作者 周嘉生
貢獻者 劉明路
周嘉生
日期 1985
上傳時間 14-Nov-2016 15:02:52 (UTC+8)
摘要 第一章 緒論1
第一節 研究動機1
第二節 研究目的1
第三節 本文結構1
第二章 真正卡方分布之期望值及變方3
第一節 真正卡方分布之期望值3
第二節 真正卡方分布之變方5
第三章 有關卡方檢定當其期望次數少時之漸近式11
第一節 Lognormal 漸近式11
第二節 c ( m ) 漸近式20
第三節 連續校正30
第四節 以上三種方法之比較32
第四章 結論40
第五章 實例41
附錄46
參考資料62
參考文獻 1. COCHRAN, W. G. (1952). The X² test of goodness of tit. Ann. Math. Statist 23, 315-345.
2. DAWSON, R. B. (1954). A simplitied expression for the variance of the X² function on a contingency table. Biometrika 41, 280.
3. HALDANE ; J. B. S (1939). The mean and variance of x2 when used as a test of homogenity, when expectation are small. Biometrika 31, 346-355.
4. LAWAL, H. B and UPTON, G. J. G (1980). An approximction to the distribution of the X² goodness of tit statistic for use with small expectation. Biometrika 67, 447-453.
5. LAWAL. H. B (1984). On the use of X² as a test of independent in contingency tables, with small coll expectation Austral. J. statist, 26 ( I ), 75-85.
6. SLAKTER M. J (1966) comparative validity of the chi-square and two modified hi-square goodness of tit tests for small but Ifual expected trefuencies. Biometrika 53, 619-623.
7. WALLACE. D. L (1959). Bounds on normal approximations to student`s and chi-square distribution. Ann. Math. Statist 30, 1121-1130.
8. Yarnold, J. K (1970). The minimum expectation in X² goodness of tit tests and accuracy of approximation for the null distribution. J. American statist assoc. 65, 864-886.
關聯 國立政治大學
統計研究所
碩士
73
資料類型 thesis
dc.contributor.advisor 劉明路
dc.contributor.author (Authors) 周嘉生
dc.creator (作者) 周嘉生zh_TW
dc.date (日期) 1985
dc.date.accessioned 14-Nov-2016 15:02:52 (UTC+8)-
dc.date.available 14-Nov-2016 15:02:52 (UTC+8)-
dc.date.issued (上傳時間) 14-Nov-2016 15:02:52 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/103917-
dc.description.abstract (摘要) 第一章 緒論1
第一節 研究動機1
第二節 研究目的1
第三節 本文結構1
第二章 真正卡方分布之期望值及變方3
第一節 真正卡方分布之期望值3
第二節 真正卡方分布之變方5
第三章 有關卡方檢定當其期望次數少時之漸近式11
第一節 Lognormal 漸近式11
第二節 c ( m ) 漸近式20
第三節 連續校正30
第四節 以上三種方法之比較32
第四章 結論40
第五章 實例41
附錄46
參考資料62
dc.format.extent 115 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) 國立政治大學
dc.relation (關聯) 統計研究所
dc.relation (關聯) 碩士
dc.relation (關聯) 73
dc.title (題名) 有關卡方檢定當其期望次數少時之探討zh_TW
dc.type (資料類型) thesis
dc.relation.reference (參考文獻) 1. COCHRAN, W. G. (1952). The X² test of goodness of tit. Ann. Math. Statist 23, 315-345.
2. DAWSON, R. B. (1954). A simplitied expression for the variance of the X² function on a contingency table. Biometrika 41, 280.
3. HALDANE ; J. B. S (1939). The mean and variance of x2 when used as a test of homogenity, when expectation are small. Biometrika 31, 346-355.
4. LAWAL, H. B and UPTON, G. J. G (1980). An approximction to the distribution of the X² goodness of tit statistic for use with small expectation. Biometrika 67, 447-453.
5. LAWAL. H. B (1984). On the use of X² as a test of independent in contingency tables, with small coll expectation Austral. J. statist, 26 ( I ), 75-85.
6. SLAKTER M. J (1966) comparative validity of the chi-square and two modified hi-square goodness of tit tests for small but Ifual expected trefuencies. Biometrika 53, 619-623.
7. WALLACE. D. L (1959). Bounds on normal approximations to student`s and chi-square distribution. Ann. Math. Statist 30, 1121-1130.
8. Yarnold, J. K (1970). The minimum expectation in X² goodness of tit tests and accuracy of approximation for the null distribution. J. American statist assoc. 65, 864-886.