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Title: | 有關卡方檢定當其期望次數少時之探討 |
Authors: | 周嘉生 |
Contributors: | 劉明路 周嘉生 |
Date: | 1985 |
Issue Date: | 2016-11-14 15:02:52 (UTC+8) |
Abstract: | 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 |
Reference: | 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. |
Relation: | 國立政治大學 統計研究所 碩士 73 |
Data Type: | thesis |
Appears in Collections: | [統計學系] 學位論文
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