A bootstrap test for equality of variances
نویسندگان
چکیده
منابع مشابه
A bootstrap test for equality of variances
We introduce a bootstrap procedure to test the hypothesis Ho that K + 1 variances are homogeneous. The procedure uses a variance-based statistic, and is derived from a normal-theory test for equality of variances. The test equivalently expressed the hypothesis as Ho : η = (η1, . . . , ηK+1) = 0, where ηi’s are log contrasts of the population variances. A box-type acceptance region is constructe...
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We develop a test for equality of variances given two independent random samples of observations. The test can be expected to perform well when both sample sizes are at least moderate and the sample variances are asymptotically equivalent to the maximum likelihood estimators of the population variances. The test is motivated by and is here assessed for the case when both populations sampled are...
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When comparing two variables with nonnormal distributions, application of the Wilcoxon-Mann-Whitney test (WMW) is a common choice. However, it is only valid to test the null hypothesis stating equality of the distributions. Sometimes the hypothesis of interest is H0 : P (X < Y ) = P (X > Y ) against P (X < Y ) / = P (X > Y ), called stochastic equality and inequality. Here we propose a bootstra...
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To test for equality of variances given two independent random samples from univariate normal populations, popular choices would be the two-sample F test and Levene’s test. The latter is a nonparametric test while the former is parametric: it is the likelihood ratio test, and also a Wald test. Another Wald test of interest is based on the difference in the sample variances. We give a nonparamet...
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This paper describes the use of bootstrap and permutation methods for lhe problem of testing homogeneity of variances when means are not assumed equal or known. The melhods are new in this context, and nontrivial, since lhe composite null hypothesis involves nuisance mean parameters. They allow the use of normal-:'theory test statistics such as F = sUs~ without the normality assumption which is...
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ژورنال
عنوان ژورنال: Computational Statistics & Data Analysis
سال: 2010
ISSN: 0167-9473
DOI: 10.1016/j.csda.2010.04.012