4-15-11 - 4/15/11 F tests for Regression Explained...

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4/15/11 F tests for Regression Explained Variability o SS(regression) Variability explained by regression Difference between total and residual sums of squares SS(regression)=SS(y)-ss(residual) Hypothesis Testing with Regression o Does the regression explain meaningful variance in the outcome Null Hypothesis All regression coefficients equal zero in population Regression only explaining random error in sample Approach Find how much variance the predictors explain: SS(regression) Compare to amount expected by chance Ratio gives F stat which we can use for hypothesis testing If F is larger than expected value regression explains more variance than expected by chance Reject null if F is large enough F Ratio for regression o F=MS(between)/MS(within) ANOVA o F=MS(regression)/MS(residual) Regression Residual error-error for each subject (within) Regression error- total error explained by the regression SS(regression)=SS(y)-SS(residual)
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This note was uploaded on 12/07/2011 for the course PSYC 203 taught by Professor Worthy during the Spring '11 term at Texas A&M.

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4-15-11 - 4/15/11 F tests for Regression Explained...

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