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

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

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Unformatted text preview: 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 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 within )=MS between /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 : 1 = 2 = 3 H 1 : 1 2 1 3 2 3 1 2 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 = (n-1)= df in each treament =4 + 4 +4 = 12 Between treatments df between = k -1 = 3 -1 =2 For good measure df total = N-1 = 15 -1=14 F critical (.05) df numerator = 2 df denominator = 12 F critical = 3.88 F = Between treatment variance Within treatment variance = MS...
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This note was uploaded on 01/13/2012 for the course PSYCH 5 taught by Professor Collins during the Fall '08 term at UCSB.

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

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