Analysis of Variance (ANOVA)

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Analysis of Variance (ANOVA)

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Presentation transcript:

Analysis of Variance (ANOVA)

ANOVA data Grand Mean = 4.375 Control Placebo Drug 5 6 2 8 3 4 1 7 10 1 7 10 Mean = 6.5 Mean = 4.5 Mean = 2.125 Grand Mean = 4.375

Independent t-test

Variance

ANOVA data Grand Mean = 4.375 Control Placebo Drug 5 6 2 8 3 4 1 7 10 1 7 10 Mean = 6.5 Mean = 4.5 Mean = 2.125 Grand Mean = 4.375

Variance total variance = within groups variance + between groups variance

May Affect Number of Headaches genetics stress diet gender sleep … new drug Error --- IV

ANOVA data IV (drug) error Control Placebo Drug 5 6 2 8 3 4 1 7 10 1 7 10 Mean = 6.5 Mean = 4.5 Mean = 2.125 IV (drug) error

Between-group var = IV + error Within-group var = error F = between var / within var = (IV+error) / error If IV has no effect, F = error/error = 1 Is F significantly greater than 1?