Example: Choosing Between the Full and Reduced Models Litters ...

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Full Model Analysis

litters.lm

David Bellhouse and Sons, Manchester - University of Western Ontario

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Full Model Analysis litters.lm

Conducting the Partial F Test > anova(littersred.lm, litters.lm) Analysis of Variance Table Model 1: brainwt ˜ bodywt Model 2: brainwt ˜ lsize + bodywt Res.Df RSS Df Sum of Sq F Pr(>F) 1 18 0.0030806 2 17 0.0024287 1 0.00065186 4.5628 0.04751 * --- Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 Conclusion: After accounting for body weight, we have evidence that litter size and brain weight are related Note: p-value for this test matches the p-value for the test of H 0 : β 2 = 0. Why? 3

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