Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-sumofsquares-020-en_vufgb-sumofsquares-020-en
   name	vufgb-sumofsquares-020-en
   section	Inferential Statistics/Regression/Sum of squares, Inferential Statistics/Parametric Techniques/ANOVA
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	Calculation, Interpreting output
   Program
   Language	English
   Level	Statistical Literacy

   Question

   Given is the ANOVA table below, belonging to a 2x2 factorial design.

   Calculate the square of the interaction between factors A and B ($SS_{AB}$).

   

   
   
   1. FALSE: 0
   2. FALSE: 10
   3. TRUE: 2
   4. FALSE: 40
   
   

   Solution

   First, calculate the average of y yourself: $\frac{(10+12+10+14+8+10+7+9)}{8} = \frac{80}{8} = 10$.

   Then fill in the last column for each subject. For example, for subject 1: $(11-11.5-10+10)^{2} = -0.5^{2} = 0.25$.

   If you do this for all subjects you get (coincidentally) 0.25 as the value for each person. The sum of this is $0.25 \times 8 = 2$.

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