Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_eur-inferential_statistics-208-en_eur-inferential_statistics-208-en
    nameeur-inferential_statistics-208-en
    sectionInferential Statistics/Effect size/Cohen's d, Reliability/Analysis/Cronbach's alpha
    typenum
    solution0.63
    tolerance0
    TypeCalculate
    ProgramCalculator
    LanguageEnglish
    LevelStatistical Literacy

    Question

    A PhD student at the institute of Psychology investigates the effect of gender in video modelling on the accuracy on a later task in which the participants have to perform a similar task as was explained in the video by a male or female model. From a meta study he learned that he may expect a main effect for gender: both male and female students learn more from male video models than from female video models. The effect-size in this meta-study was .80. Based on this effect-size the PhD makes a power calculation and decides that he needs 18 participants in each of the two conditions.

    Below you see the descriptive statistics the PhD student got from SPSS.

    Group Mean SD n
    Male model 20 1.8 18
    Female model 20 1.7 18

    The reliability of the accuracy scores of the PhD student turned out to be .64. Calculate the effect-size of the data using these descriptive data from the study of the PhD student. Round to 2 decimals.


    Solution

    The formula for the effect-size is: d=x̄mx̄fspd = \frac {x̄m - x̄f}{sp}. Since both groups consist of 18 people the pooled standard deviation is simply the average of the two standard deviations. The pooled standard deviation is sp=1.82+1.722=1.75sp = \sqrt {\frac{1.8^2 + 1.7^2}{2}} = 1.75. So the effect-size (Cohen’s d) is d=6.35.21.75=.629=.63d = \frac{6.3 - 5.2}{1.75} = .629 = .63