At what sample size do correlations stabilize?

At what sample size do correlations stabilize?

June 2013 | Felix D. Schönbrodt, Marco Perugini
The paper investigates at what sample size correlations stabilize. Using Monte-Carlo simulations, the authors determine the critical sample size (POS) from which a correlation estimate becomes stable. The necessary sample size depends on the effect size, the corridor of stability (COS), and the desired confidence level. Results show that for typical scenarios, a sample size of around 250 is needed for stable estimates. The corridor of stability is defined as a range around the true value where deviations are acceptable. The point of stability (POS) is the sample size from which the correlation trajectory no longer leaves the COS. The study also considers non-normal distributions and finds that deviations from normality slightly increase the required sample size. The authors conclude that for typical research contexts with an effect size of around 0.21, a sample size of approximately 238 is needed for stable estimates with 80% confidence. However, for more precise estimates, larger samples are required. The findings suggest that in most practical research scenarios, a sample size of around 250 is sufficient for stable correlation estimates.The paper investigates at what sample size correlations stabilize. Using Monte-Carlo simulations, the authors determine the critical sample size (POS) from which a correlation estimate becomes stable. The necessary sample size depends on the effect size, the corridor of stability (COS), and the desired confidence level. Results show that for typical scenarios, a sample size of around 250 is needed for stable estimates. The corridor of stability is defined as a range around the true value where deviations are acceptable. The point of stability (POS) is the sample size from which the correlation trajectory no longer leaves the COS. The study also considers non-normal distributions and finds that deviations from normality slightly increase the required sample size. The authors conclude that for typical research contexts with an effect size of around 0.21, a sample size of approximately 238 is needed for stable estimates with 80% confidence. However, for more precise estimates, larger samples are required. The findings suggest that in most practical research scenarios, a sample size of around 250 is sufficient for stable correlation estimates.
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