Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-dummies-001-en_vufgb-dummies-001-en
   name	vufgb-dummies-001-en
   section	Inferential Statistics/Regression/Dummies
   type	schoice
   solution	FALSE, FALSE, FALSE, TRUE
   Type	Case, Calculation
   Language	English
   Level	Statistical Thinking

   Question

   The following three group means are found: $\bar{y}_1 = 12$, $\bar{y}_2 = 8$ and $\bar{y}_3 = 10$. Group 3 is the reference category. We look at the corresponding estimated ANOVA model, but present it as a regression model with dummy variables. The formula is: $\hat{y} = 10 + 2Z_1 - 2Z_2$. What would the estimated model look like if group 1 were chosen as the reference category?

   
   
   1. FALSE: $\hat{y} = 10 - 2Z_1 + 2Z_2$
   2. FALSE: $\hat{y} = 12 + 2Z_1 - 2Z_2$
   3. FALSE: $\hat{y} = 12 - 2Z_1 + 2Z_2$
   4. TRUE: $\hat{y} = 12 - 4Z_1 - 2Z_2$