Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_uva-sum-of-squares-73-en_uva-sum-of-squares-73-en
   name	uva-sum-of-squares-73-en
   section	Inferential Statistics/Regression/Sum of squares
   type	schoice
   solution	FALSE, TRUE, FALSE
   Type	Conceptual
   Language	English
   Level	Statistical Literacy
   IRT-Difficulty	4.033
   p-value	0.1078

   Question

   In an ANOVA, the difference in averages can be described in terms of regression. Suppose a one-way ANOVA (one factor) with three groups is converted into a regression with the following coding:

   ——- ——– ——– ——————— ——————- group x₁ x₂ averages interpretation β 1 1 0 μ₁ = α + β₁ 2 0 1 μ₂ = α + β₂ 3 0 0 μ₃ = α ——- ——– ——– ——————— ——————-

   The interpretation of β₃ is clear, which is α.The interpretation of the other two coefficients is as follows:

   
   
   1. FALSE: Β1 = μ1 - μ2 and β2 = μ1 - μ3.
   2. TRUE: Β1 = μ1 - μ3 and β2 = μ2 - μ3.
   3. FALSE: Β1 = μ2 - μ3 and β2 = μ1 - μ3.
   
   
   1. Β1 = μ1 - μ2 and β2 = μ1 - μ3…: Incorrect
   2. Β1 = μ1 - μ3 and β2 = μ2 - μ3…: Correct
   3. Β1 = μ2 - μ3 and β2 = μ1 - μ3…: Incorrect