ANOVA

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  • ANOVA
    • When is one-way ANOVA used
      • Three or more conditions
      • Measured on interval or ratio scale
      • Datapoints are normally distributed
    • One-way ANOVA analyses the differences between three (or more) means of the DV (while accounting for the spread of the data)
    • Appropriate hypotheses
      • If one-tailed, the hypothesis should ALSO indicate direction of differences among the groups
      • Refers to the effect of the IV on the DV.
    • Homogeneity of variance
      • If Levene’s is non-significant THEN pick your usual post-hoc procedure (e.g., Tukey, listed under “equal variances assumed)
      • IF Levene’s is significant THEN pick a post-hoc procedure from the “equal variances not assumed” section 
    • Effect size
      • Partial eta squared (ranges from 0 to 1)
    • ANOVA variance
      • Total variance
        • Variance between different conditions/groups due to manipulation of the IV (numerator)
        • Variance among different participants due to uncontrollable sources (error) (denominator)
    • Sphericity
      • If Mauchly’s is non-significant THEN read the top row on SPSS (“Sphericity assumed”) for the omnibus results
      • If Mauchly’s is significant THEN read one of the other three rows on SPSS for the omnibus results
    • Reporting results
      • (F (?, ?) = ?, p = ?, ?p2 = ?)
      • What type of ANOVA
      • Report all post-hoc results and direction of differences

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