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Trivariate Regression

Trivariate Regression. By Hand. Variable N Mean Std Dev   ar 54 2.37969 0.53501 ideal 154 3.65024 0.53278 misanth 154 2.32078 0.67346. ar ideal misanth ar 1.00000 0.05312 0.22064 r

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Trivariate Regression

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  1. Trivariate Regression By Hand

  2. Variable N Mean Std Dev   ar54 2.37969 0.53501 ideal 154 3.65024 0.53278 misanth154 2.32078 0.67346 arideal misanth ar1.00000 0.053120.22064r 0.5129 0.0060 p ideal 0.05312 1.00000 -0.13975r 0.5129 0.0839 p

  3. Beta Weights

  4. Unstandardize the Weights

  5. Obtain the Intercept

  6. Obtain R2

  7. R2 For 2 or More Predictors

  8. Test the R2 • SSy = (N-1)s2 = 153(.53501)2 = 43.794 • SSregr = R2SSY =.0559(43.794) = 2.447;df = p = 2; MSregr = 2.447/2 = 1.2235 • SSerror = SSY – SSregr= 43.794 - 2.447 = 41.347; df= n-p-1 = 151;MSerror = 41.347/151 = 0.2738 • F(2, 151) = 1.2235/0.2738 = 4.468, p = .013

  9. Obtain the Semipartial Corrs2

  10. Obtain the Partial Corrs2

  11. Test the Partials df = N - p– 1 = 151

  12. Also See • Obtaining Exact Significance Levels with SAS • Correlation and Regression Analysis: SAS - bivariate and trivariate, with plots • Annotated output

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