Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-anova_f-test-1100-en_vufsw-anova_f-test-1100-en
   name	vufsw-anova f-test-1100-en
   section	inferential statistics/parametric techniques/anova/anova f-test
   type	schoice
   solution	FALSE, TRUE, FALSE, FALSE
   Type	conceptual
   Program	NA
   Language	English
   Level	statistical reasoning

   Question

   A psychologist runs a regression with empathy as a dependent variable (Y) and gender as the independent variable (X). She finds an F-statistic of 83.1, with p < 0.001 (see the ANOVA table below). What does this mean?

   

   
   
   1. FALSE: The association between gender and empathy is positive and statistically significant.
   2. TRUE: The regression model with gender does significantly better in explaining the variance in empathy than a model without explanatory variables.
   3. FALSE: The mean of empathy differs significantly from the mean of gender.
   4. FALSE: The Regression Sum of Squares is positive and statistically significant.
   
   

   Solution

   The F-statistic is a measure of predictive power, and depends on the mean square for regression and the mean square error. The F-statistic is significant if the model does better in explaining the variance of the dependent variable than a model without any explanatory variables.

   
   
   1. False
   2. True
   3. False
   4. False