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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/103917
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/103917


    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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