Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_uva-sum-of-squares-73-en_uva-sum-of-squares-73-en
    nameuva-sum-of-squares-73-en
    sectionInferential Statistics/Regression/Sum of squares
    typeschoice
    solutionFALSE, TRUE, FALSE
    TypeConceptual
    LanguageEnglish
    LevelStatistical Literacy
    IRT-Difficulty4.033
    p-value0.1078

    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