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psych 5-ucsb-fall 2011-lecture-chapter13.2

psych 5-ucsb-fall 2011-lecture-chapter13.2 - today...

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today Computing ANOVA Post-hoc tests Can you guess how many steps? 4-steps 1. State hypothesis 2. Set criterion 3. Compute F 4. Make decision ANOVA big picture F = Between treatment variance Within treatment variance = MS between MS within MS between = SS between df between MS within = SS within df within

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ANOVA table SOURCE SS DF MS Between SS between k-1 SS between df between Within SS within k(n-1) SS within df within Total SS total N-1 Overall F F(df between ,df wit thin )=MS between n /MS within ANOVA notation Coffee Water Milk 2 10 10 3 8 13 7 7 14 2 5 13 6 10 15 Beverage Type T 1 =20 SS 1 =22 M 1 = 4.0 T 2 =40 SS 2 =18 M 2 = 8.0 T 3 =65 SS 3 =14 M 3 = 13.0 G=125 step 1: state hypothesis The null hypothesis for three treatments The alternative hypothesis H o : μ 1 = μ 2 = μ 3 H 1 : μ 1 μ 2 μ 1 μ 3 μ 2 μ 3 μ 1 μ 2 μ 3 OR H 1 : At least one population mean is different from the others
step 2: set criterion F-distribution needs df between treatments and df within treatments Within Treatments df within = Σ (n-1)= Σ df in each treament =4 + 4 +4 = 12 Between treatments df between = k -1 = 3 -1 =2 For good measure df total

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psych 5-ucsb-fall 2011-lecture-chapter13.2 - today...

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