観測値の独立性の仮定からの逸脱がt検定の検定力に及ぼす影響

• 栗田 佳代子

  東京大学大学院教育学研究科

書誌事項

タイトル別名

• THE BIASING EFFECTS OF VIOLATING THE INDEPENDENCE ASSUMPTION UPON THE POWER OF <I>t</I> TEST
• カンソクチ ノ ドクリツセイ ノ カテイ カラ ノ イツダツ ガ t ケンテイ
• THE BIASING EFFECTS OF VIOLATING THE INDEPENDENCE ASSUMPTION UPON THE POWER OF t TEST

抄録

In many areas of educational and psychological research, the t test is among the most popular statistical analysis methods. One of the assumptions for the t test is the independence of observations, which is important but rarely satisfying in real data. The power analysis for the t test also requires the independence assumption. The effects of the violation of this assumption has been extensively studied with respect to the probability of Type I error, but not regarding the power. The purpose of this study is to investigate the biasing effects of non-independence of observations on the power of the t test by means of computer simulation. In this study, the non-independence of observations is defined by the intraclass correlation coefficients within subgroups of observations. The result suggests that the magnitude of the bias can be considerable depending upon the population effect size, intraclass correlation coefficient, and the size of subgroups.

収録刊行物

• The Japanese Journal of Educational Psychology

  The Japanese Journal of Educational Psychology 44 (2), 234-242, 1996

  The Japanese Association of Educational Psychology

キーワード

• power analysis
• <I>t</I> test
• non-independence
• robustness
• computer simulation

詳細情報

• CRID: 1390282680436554368
• NII論文ID: 110001893036
• NII論文ID: 130004698275
• NII書誌ID: AN00345837
• DOI: 10.5926/jjep1953.44.2_234
• NDL書誌ID: 3992043
• ISSN: 00215015
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3992043
• Web Site: http://dl.ndl.go.jp/info:ndljp/pid/10625081
• 本文言語コード: ja
• データソース種別:
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  • CiNii Articles
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