Tests for equality of variances with paired data
نویسندگان
چکیده
منابع مشابه
A Note on Leveneis Tests for Equality of Variances
t • • ABSTRACT Consider testing for equality of variances in a one-way analysis of variance. Levene's test is the usual F-test for equality of means computed on pseudo-observations, which one defines as the absolute deviations of the data points from an estimate of the group "center". We show that, asymptotically, Levene1s test has the correct level whenever the estimate of group "center" is an...
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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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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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In paired comparison experiments, the worth or merit of a unit is measured through comparisons against other units. When paired comparison outcomes are collected over time and the merits of the units may be changing, it is often convenient to assume the data follow a non-linear state-space model. Typical paired comparison state-space models that assume a ® xed (unknown) autoregressive variance ...
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The one-sample paired t-test may be used to test whether the mean difference of two populations is greater than, less than, or not equal to a specific value. Because the t distribution is used to calculate critical values for the test, this test is often called the paired t-test. If the standard deviation of the differences is known, the normal distribution is used instead of the t distribution...
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ژورنال
عنوان ژورنال: Communications in Statistics - Theory and Methods
سال: 1987
ISSN: 0361-0926,1532-415X
DOI: 10.1080/03610928708829445