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General MANOVAUnivariate Statistics - S, R-Sq and R-Sq(Adj) Values for Usability |
S, R and adjusted R
are measures of how well the model fits the data. These values
can help you select the model with the best fit.
(R-Sq) describes the amount of variation in the observed
response values that is explained by the predictor(s).
R
always increases with additional predictors. For example,
the best five-predictor model will always have a higher R
than the best four-predictor model. Therefore, R
is most useful when comparing models of the same size.
is a modified R
that has been adjusted
for the number of terms in the model. If you include unnecessary terms,
R
can be artificially high. Unlike R
, adjusted
R
may get smaller when you add terms to the model. Use
adjusted R
to compare models with different numbers of predictors.
Example Output |
Interpretation |
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For the door lock data, S is 0.942587,
R is 44.40%,
and the adjusted R
equals 39.43%.
If you are comparing different door lock usability models, then you generally
look for models that minimize S and maximize the two R
values.