PSYC 305 Lecture Notes - Lecture 6: Direct Comparison Test, Variance, Analysis Of Variance
11 Mar 2013
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One-way anova: purpose, to test whether the means of k , ho : 1 = 2 = k, h1 : not all "s are the same (at least one of the means is different) Partitioning total variation (ss): total ss (= variation) can be divided into two parts, ss(t) = ss(b) + ss(w, ss(t) = total variation, ss(b) = between-group variation, ss(w) = within-group variation. Total ss: ss(t) = the aggregate variation/dispersion of individual observations across groups, ss(b) = variation between the sample means, ss(w) = variation that exists among the observations within a particular group. Calculating sample variances: vt, vb, vw are often called the total, between-group, and within-group mean squares, abbreviated by ms(t), ms(b), and ms(w), respectively. One-way anova: computations: once vb and vw are obtained, calculate the f statistic value for your samples. Calculating effect size: use the pearson"s correlation coefficient and omega to calculate the effect size.
