Analysis of Variance

# Analysis of Variance - -estimate the variance the...

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Analysis of Variancfe (ANOVA) -null hypothesis: same mean, same variance -alternative hypothesis: different means, same variance -three groups -3 means -3 sum of squares Always assume: -equal sample sizes -independent F test -comparing two different estimates of variance -two different ways to estimate variance -are the two estimates the same -NOT are the two sample means the same F = M SB /M SW Mean squre between groups/mean squre within groups -two estimates of the variance of the population that the scores came from
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Unformatted text preview: -estimate the variance the population that a sample came from SS/n-1 Mean square within groups S 2 within or M SW S 1 2 + S 2 2 + S 3 2 …/N group-estimate of the population variance based on the ‘within group’-pooled estimate of the population variance based on the samples-average the estimated variances-good estimate of population variance Mean square between groups S 2 between or M SB-direct estimate of what the population variance is-based on how spread out the groups are...
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