Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-anova-025-en_vufgb-anova-025-en
   name	vufgb-anova-025-en
   section	Inferential Statistics/Parametric Techniques/ANOVA
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	Calculation
   Program
   Language	English
   Level	Statistical Literacy

   Question

   Calculate the number of degrees of freedom associated with the Interaction Effect AB in a factorial ANOVA with 3 X 3 design.

   
   
   1. FALSE: 2
   2. FALSE: 3
   3. TRUE: 4
   4. FALSE: 9
   
   

   Solution

   $df = (g-1) \times (h-1) = (3-1) \times (3-1) = 2 \times 2 = 4$.

   If you write out ANOVA model as a regression model with dummy variables you get two dummy variables for Factor 1 and two dummy variables for Factor 2. That yields in the regression model $2 \times 2 = 4$ interaction terms. Difference in parameters between model with and without interaction is then 4.

   This is the reasoning if you conceive of the F test as a model comparison test!

   
   
   1. Incorrect
   2. Incorrect
   3. Correct
   4. Incorrect