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Comparison of Variances Homogeneity Tests in Randomized Complete Block Design
Nabaz Esmailzadeh , Reza Nikbakht
Abstract:   (831 Views)

Variances homogeneity test are mostly applied as a preliminary test to other analyses like test of equality of means. So far, several tests have been offered in randomized complete block design, that the most prevalent of them are Bartlett and Levene tests, and others are generalized kind of these two tests. The distribution of statistics for these tests are obtained asymptotically. Recently, a test has been introduced base on estimated critical values. In this paper, nine tests are examined based on estimated critical values method and their performance are evaluated with various blocks and treatment groups for normal and t-student distributions by a simulation study. The method of estimated critical values has a good performance in the type I error and a power improvement with respect to using asymptotic distribution.

Keywords: Levene's test, Han's test, Bhandary and Dai's test, Randomized Complete Block Design, Homogeneity of Variances.
Full-Text [PDF 5751 kb]   (282 Downloads)    
Type of Study: Research | Subject: Applied Statistics
Received: 2017/05/25 | Accepted: 2017/11/10 | Published: 2018/05/20
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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