Note: For an example of this option, see Example of the Fit Orthogonal Option.
The Fit Orthogonal option fits linear models that account for variability in X as well as Y.
Select one of the following options to specify a variance ratio.
Univariate Variances, Prin Comp
Uses the univariate variance estimates computed from the samples of X and Y. This turns out to be the standardized first principal component. This option is not a good choice in a measurement systems application since the error variances are not likely to be proportional to the population variances.
Equal Variances
Uses 1 as the variance ratio, which assumes that the error variances are the same. Using equal variances is equivalent to the non-standardized first principal component line. Suppose that the scatterplot is scaled the same in the X and Y directions. When you show a normal density ellipse, you see that this line is the longest axis of the ellipse.
Fit X to Y
Uses a variance ratio of zero, which indicates that Y effectively has no variance.
Specified Variance Ratio
Lets you enter any ratio that you want, giving you the ability to use known information about the measurement error in X and response error in Y.
For more information about the options in the Orthogonal Fit Ratio menu, see Fitting Menus. For statistical details about this fit, see Fit Orthogonal.