Dummy Variables And the Analysis of Covariance
Dummy Variables And the Analysis of Covariance
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To quickly assess the difficulty of the text, read a short excerpt:
See Bryant [11, pp. 21^4-216 or F-razer [3], pp. 296-30^1.
- 5 - SSR(d) = ) (y. . - a. - b x. . ), i. E. , the sum of squared residuals ~'. From a regression with Dummy variables •^ included, with IJ - n - (l - l) degrees of freedom.
It should be clear that SSR(d) measures the unexplained or residual portion of the variation. Also, the combined reduction due to the x's and Z's is SS(y) - SSR(d). Since the reduction due to the inclusion of the x's is SS(y) - SSR(a), the incremental reduction due... to the inclusion of the Z's, the dummy variables, is [SS(y) - SSR(d)] - [SS(y) - SSR(a)]. That is, it is the reduction due to the combined effects of the x's and the Z's minus the effect of the x's. Simplifying, this becomes SSR(a) - SSR(d). In other words, the contribution of the dummy variables is meas- ured by the difference between the residual sum of squares after the in- clusion of the x's, but before the inclusion of the dummy variables, and the residual sum of squares after the inclusion of both the x's and the dummy variables.
What to read after Dummy Variables And the Analysis of Covariance?
You can find similar books in the "Read Also" column, or choose other free books by William L William Leo White to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
See Bryant [11, pp. 21^4-216 or F-razer [3], pp. 296-30^1.
- 5 - SSR(d) = ) (y. . - a. - b x. . ), i. E. , the sum of squared residuals ~'. From a regression with Dummy variables •^ included, with IJ - n - (l - l) degrees of freedom.
It should be clear that SSR(d) measures the unexplained or residual portion of the variation. Also, the combined reduction due to the x's and Z's is SS(y) - SSR(d). Since the reduction due to the inclusion of the x's is SS(y) - SSR(a), the incremental reduction due... to the inclusion of the Z's, the dummy variables, is [SS(y) - SSR(d)] - [SS(y) - SSR(a)]. That is, it is the reduction due to the combined effects of the x's and the Z's minus the effect of the x's. Simplifying, this becomes SSR(a) - SSR(d). In other words, the contribution of the dummy variables is meas- ured by the difference between the residual sum of squares after the in- clusion of the x's, but before the inclusion of the dummy variables, and the residual sum of squares after the inclusion of both the x's and the dummy variables.
What to read after Dummy Variables And the Analysis of Covariance?
You can find similar books in the "Read Also" column, or choose other free books by William L William Leo White to read onlineMoreLess
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