Which of the following statements about the F-ratio is true?
A) The F-ratio is the ratio of variance explained by the model to the error in the model.
B) The F-ratio is the ratio of variance explained by the model to the total variance in the outcome variable.
C) The F-ratio is the ratio of error variance to total variance.
D) The F-ratio is the proportion of variance explained by the regression model.

Question

Quizplus · Accepted Answer

The F-ratio is calculated by dividing the explained variance (variance accounted for by the model) by the error variance (unexplained variance within the model). Therefore, option A is the correct statement. Option B is incorrect because it considers the total variance in the outcome variable instead of focusing on the variance explained by the model. Option C is also incorrect because it only considers the error and total variances, without factoring in the variance explained by the model. Option D is incorrect because it implies that the F-ratio represents the proportion of variance explained by the model, which is not entirely accurate.

Which of the Following Statements About the F-Ratio Is True