Power Analysis for ANOVA Designs: Examples for
Dissertation Students & Researchers

 

     A power analysis was conducted to determine the number of participants needed in this study (Cohen, 1988). An ANOVA will examine the hypothesis that the variation in healing time is no greater than that due to normal variation of individuals' characteristics. The α for the ANOVA will be set at .05. To achieve power of .80 and a large effect size ( = .40), a sample size of 76 is required to detect a significant model (F (3, 72) = 2.73).

Power Calculation for a Small Effect Size

     From a convenience sample it is hoped that a desired sample size of at least 788 will be achieved for the study. A power analysis was conducted to determine the number of participants needed in this study (Cohen, 1988). Several hypotheses will be examined using Analysis of Variance (ANOVA). ANOVA will be used to determine whether there are significant differences between academic entrepreneurs and non-academic entrepreneurs on the five AJDI subscales and overall job satisfaction (as measured by the JIG). The α for this ANOVA model will be set at .05. To achieve power of .80 and a small effect size ( =.10), a sample size of 788 is required to detect the critical F-value (F (1,786) = 3.85).

Power Analysis for ANOVA: Small Effect Size

     A power analysis was conducted to determine the number of participants needed in this study (Cohen, 1988). The α for the ANOVA will be set at .05. To achieve power of .80 and a small effect size ( = .10), a total sample size of 969 is required to detect a significant model (F (2, 966) = 3.00).

Power Calculation for a Medium Effect Size

     From a convenience sample it is hoped that a desired sample size of at least 128 will be achieved for the study. A power analysis was conducted to determine the number of participants needed in this study (Cohen, 1988). Several hypotheses will be examined using Analysis of Variance (ANOVA). ANOVA will be used to determine whether there are significant differences between academic entrepreneurs and non-academic entrepreneurs on the five AJDI subscales and overall job satisfaction (as measured by the JIG). The α for this ANOVA model will be set at .05. To achieve power of .80 and a medium effect size ( =.25), a sample size of 128 is required to detect the critical F-value (F (1,126) = 3.91).

Power Analysis for ANOVA: Medium Effect Size

     A power analysis was conducted to determine the number of participants needed in this study (Cohen, 1988). The α for the ANOVA will be set at .05. To achieve power of .80 and a medium effect size ( = .35), a total sample size of 159 is required to detect a significant model (F (2, 156) = 3.05).

Power Analysis for ANOVA: Large Effect Size

     A power analysis was conducted to determine the number of participants needed in this study (Cohen, 1988). The α for the ANOVA will be set at .05. To achieve power of .80 and a large effect size ( = .40), a total sample size of 66 is required to detect a significant model (F (2, 63) = 3.14).

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