Power Analysis for Correlations: Examples for
Dissertation Students & Researchers

 

     For test of association using pearson correlations, a moderate correlation between ACD raw scores, relational aggression raw scores, physical aggression raw scores and ECF raw scores will be considered meaningful. To detect a moderate correlation (r = .30), a sample of 111 analyzable subjects will provide 95% power to discover that the correlation is statistically significantly different from there being no correlation, i.e. that the correlation would be zero, at the 0.05 significance.

     For tests of association using Pearson correlations, a moderate correlation between variables will be considered meaningful. To detect a moderate correlation (r = .30), a sample of 64 analyzable subjects will provide 80% power to discover that the correlation is statistically different from there being no correlation at the 0.05 significance.

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Power Analysis for a Small Correlation

     For tests of association using bivariate correlations, a small correlation between the variables of interest will be considered meaningful. To detect a small correlation (r = .10), a sample of 614 analyzable subjects will provide 80% power to discover that the correlation is significantly different from there being no correlation (i.e. that the correlation would be zero) at the 0.05 level.

Power Analysis for a Small to Moderate Correlation

     For tests of association using bivariate correlations, a small correlation between acculturation and service utilization scores will be considered meaningful. To detect a small-moderate correlation (r = .20), a sample of 150 analyzable subjects will provide 80% power to discover that the correlation is significantly different from there being no correlation (i.e. that the correlation would be zero) at the 0.05 level.

Power Analysis for a Moderate Correlation

     For tests of association using bivariate correlations, a moderate correlation between acculturation and service utilization scores will be considered meaningful. To detect a moderate correlation (r = .30), a sample of 64 analyzable subjects will provide 80% power to discover that the correlation is significantly different from there being no correlation (i.e. that the correlation would be zero) at the 0.05 level.

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