Unformatted text preview: lowest variance of the other sample. Given that the sample sizes are almost the same, and the value of this division is less than 2, then the variations of the populations are almost the same. Notice: This important condition in analysis of variance (ANOVA and the ttest for mean differences) is commonly tested by the Levene test or its modified test known as the BrownForsythe test. Interestingly, both tests rely on the homogeneity of variances condition! These conditions are crucial, not for the method of computation, but for the testing using the resultant statistic. Otherwise, we can do ANOVA and regression without any assumptions, and the numbers come out the same. Simple computations give us leastsquare fits, partitions of variance, regression coefficients, and so on. We do need the above conditions when test of hypotheses are our main concern....
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 Spring '08
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 Statistics, Normal Distribution, Variance, Statistical tests, inferential data analysis

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