ANOVA calc Powerpoint

ANOVA calc Powerpoint - Analysis of Variance: Calculations...

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Analysis of Variance: Calculations October 5, 2007
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Questions on Project? Must use variables from questionnaires Some variables single question Others sums of multiple questions or whole surveys Variable names written in
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How do we analyze it? We take total variability (variance) in study and partition into these two types Between groups variance (effect of IV) Within groups variance (error) Then take ratio to see if more due to IV than to error If enough more, IV has effect on memory
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How you know variance: Variance of sample Have used variance formula to find variance of single sample sum of squared deviations from mean, averaged by dividing by N
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Variance of experiment for ANOVA variance in whole experiment, terminology differs, idea same sum of squares divided by df = mean square
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To calculate variance for entire study Recognit ion Cued Recall Free Recall 8 8 2 9 7 4 7 4 4 8 5 6 M =  8 M =  6 M =  4 s 2 =.7 s 2 =3.3 s 2 =2.7 Need overall mean for study (grand mean) GM = 6 Memory test type
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Calculate sums of squares for entire study Recognit ion Cued Recall Free Recall 8 8 2 9 7 4 7 4 4 8 5 6 M =  8 M =  6 M =  4 s 2 =.7 s 2 =3.3 s 2 =2.7 SS total = (X-GM) Σ 2 = (8-6) 2 + (9-6) 2 + (7-6) 2 + (8-6) 2 + (8-6) 2 + (7-6) 2 + (4-6) 2 + (5-6) 2 + (2-6) 2 + (4-6) 2 + (4-6) 2 + (6-6) 2 = 52 GM = 6 Memory test type
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Organize work in ANOVA table Source Sum of Squares df Mean square F p eta 2 Total
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Record in ANOVA table Source Sum of Squares df Mean square F p eta 2 Total 52
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ANOVA calc Powerpoint - Analysis of Variance: Calculations...

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