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A Step by Step Guide for SPSS and Exercise Studies

A Step by Step Guide for SPSS and Exercise Studies

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Statistical tests 87<br />

Dialog box 69<br />

Residual plot produces a matrix scatterplot of the observed against the predicted<br />

<strong>and</strong> st<strong>and</strong>ardised residuals. If the homogeneity assumption is satisfied, the plots<br />

should not show any systematic effect, such as a linear relationship between<br />

means <strong>and</strong> variances, or non-r<strong>and</strong>om patterns in the residual plots. In the<br />

Significance level box at the bottom of Dialog box 70 you can decrease the level<br />

of significance used in the post-hoc comparisons to prevent Type I error (see the<br />

relevant discussion in One-way ANOVA of the Analyze menu). Click Continue.<br />

The Save option of Dialog box 69 creates new variables in the data file<br />

(Dialog box 71). Under Predicted Values, you can create a variable showing, <strong>for</strong><br />

each case, the Unst<strong>and</strong>ardized predicted value of the dependent variable. You<br />

can also request the St<strong>and</strong>ard error of the Predicted values. The two measures<br />

under Diagnostics (Cook’s distance <strong>and</strong> Leverage value) show the degree to<br />

which residuals would change if a particular case was deleted. It is wise to delete<br />

cases with large values on any of the Diagnostics measures. Lastly, under<br />

Residuals you can save in the data file the Unst<strong>and</strong>ardized <strong>and</strong> St<strong>and</strong>ardized<br />

residuals (i.e., differences between the actual values of the dependent variable<br />

<strong>and</strong> those predicted <strong>by</strong> the independent variables). You can also save the<br />

Studentized residuals which represent the ratio of Unst<strong>and</strong>ardized residual to an<br />

estimate of the st<strong>and</strong>ard deviation of the residual of a particular case. Studentized<br />

residuals have the advantage of taking into account differences in variability<br />

from case to case. Lastly, Deleted residuals represent the Studentized residuals<br />

of a particular case when this case has been excluded from the analysis (Norusis,<br />

1998).

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