One of the assumptions behind the ANOVA procedure on sample data from several populations is that the observations of samples are all dependent on each other sampled populations have uniform distribution sampled populations have equal variances sampled populations have equal means
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Step 1: The assumption behind the ANOVA procedure on sample data from several populations is that the sampled populations have equal variances. Show more…
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Ajiboye T.
The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of three or more (k) independent groups. specifically, it tests the null hypothesis: H0: All population means of all groups are different H0: ÎĽ1 = ÎĽ2 = ÎĽ3 = ... = ÎĽk (All population means of all k groups are the same) H0: All variances are the same. H0: All sample means are the same for all groups
David N.
For Exercises 3 through $8,$ the null hypothesis was rejected. Use the Scheffé test when sample sizes are unequal or the Tukey test when sample sizes are equal, to test the differences between the pairs of means. Assume all variables are normally distributed, samples are independent, and the population variances are equal. Exercise 12 in Section $12-1$
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