<資料>反復測度デザイン概説-その2 : 球形検定とその周辺についての批判的レビュー <Material>A critical review on and around sphericity tests

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A critical review on and around sphericity tests was made in the context of univariate and multivariate mixed models in order to clarify the present state of researches and problems which remained to be solved. We overviewed (1) mathematical statistical studies of Mauchly's LR criterion, (2) studies on the Mauchly's criterion in the context of repeated measures ANOVA as well as the Thomas' criterion in MMM (multivariate mixed model), (3) studies on the power of the Mauchly's criterion in the neighborhood of the null hypothesis, and the LBI test (locally best in variance test), and (4) robustness studies on the sphericity tests under non-normality conditions. It was concluded, from the overview, that there existed various problems yet to be solved concerning the sphericity tests. These are (1) the exact distribution of the LBI criterion when the number of variates is greater than three, and (2) exact distribution of the LR multivariate sphericity criterion proposed by Thomas (1983). Moreover, the necessity for robustness studies was suggested under the non-normal distributions with light tail such as multivariate beta distribution and so on.

収録刊行物

  • 愛知学院大学文学部紀要

    愛知学院大学文学部紀要 24, 103-119, 1994

    愛知学院大学

被引用文献:  2件中 1-2件 を表示

各種コード

  • NII論文ID(NAID)
    110000042554
  • NII書誌ID(NCID)
    AN0000649X
  • 本文言語コード
    JPN
  • 資料種別
    雑誌論文
  • 雑誌種別
    大学紀要
  • ISSN
    02858940
  • NDL 記事登録ID
    3273434
  • NDL 刊行物分類
    H61;SB0
  • NDL 雑誌分類
    ZV1(一般学術誌--一般学術誌・大学紀要)
  • NDL 請求記号
    Z22-789
  • データ提供元
    CJP引用  NDL  NII-ELS 
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