A Revisit To Contingency Table And Tests Of Independence: Bootstrap Is Preferred To Chi-Square Approximations As Well As Fisher's Exact Test

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題名:	A Revisit To Contingency Table And Tests Of Independence: Bootstrap Is Preferred To Chi-Square Approximations As Well As Fisher's Exact Test
作者:	Lin, Jyh-Jiuan;Chang, Ching-Hui;Pal, Nabendu
貢獻者:	淡江大學統計學系
關鍵詞:	Hypothesis testing;level of a test;size;power of a test;62G10;62D99;62Q05
日期:	2014
上傳時間:	2014-09-03 15:34:52 (UTC+8)
出版者:	Philadelphia: Taylor & Francis Inc.
摘要:	To test the mutual independence of two qualitative variables (or attributes) it is a common practice to follow the Chi-Square tests (Pearson's as well as likelihood ratio test) based on data in the form of a contingency table. However, it should be noted that these popular Chi-Square tests are asymptotic in nature, and are useful when the cell frequencies are 'not too small'. In this paper we explore the accuracy of the Chi-Square tests through an extensive simulation study, and then propose their bootstrap versions which appear to work better than the asymptotic Chi-Square tests. The bootstrap tests are useful even for small cell frequencies as they maintain the nominal level quite accurately. Also, the proposed bootstrap tests are more convenient than the Fisher's exact test which is often criticized for being too conservative. Finally, all test methods are applied to a few real-life datasets for demonstration purposes.
關聯:	Journal of Biopharmaceutical Statistics
DOI:	10.1080/10543406.2014.920851
顯示於類別:	[統計學系暨研究所] 期刊論文

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