Question

Why does sample size affect the significance of r?

Answer 1

Larger sample sizes provide more accurate mean values, identify outliers that could skew the data in a smaller sample and provide a smaller margin of error.

All other things being equal, the larger the sample, the more stable (reliable) the obtained correlation.

Because samples vary randomly, from time to time we will get a sample correlation coefficient that is much larger or smaller than the true population figure.

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