Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_eur-inferential_statistics-206-en_eur-inferential_statistics-206-en
    nameeur-inferential_statistics-206-en
    sectionInferential Statistics/Parametric Techniques/Correlations/Pearson, Reliability/Analysis/Cronbach's alpha
    typenum
    solution0.34
    tolerance0
    TypeCalculate
    ProgramCalculator
    LanguageEnglish
    LevelStatistical Literacy

    Question

    A huge amount of empirical research showed that there is a rather strong relationship between depression and anxiety. Suppose that the true correlation between these two constructs is .70. A researcher who investigates this relationship with a sample of 80 participants has poor reliabilities for his depression (Rxx=.4) and anxiety (Ryy=.6) measures.

    What observed correlation can he expect for his data? Round to two decimals. Use the formula: rXoYo=rXtYt×RXXRYYr_{XoYo} = r_{XtYt} \times \sqrt {R_{XX}R_{YY}}


    Solution

    Using the formula, you would get rXoYo=.7×.4×.6=.343r_{XoYo} = .7 \times \sqrt {.4 \times .6} = .343 The expected correlation is therefore .34.