Abstract
This chapter calculates the confidence limits for the correlation coefficient for a user-selected confidence level. The user selects the test correlation coefficient, the number of samples in the calibration set, and the confidence level. A MathCad worksheet is used to calculate the z-statistic for the lower and upper limits and computes the appropriate correlation for the z-statistic. The upper and lower confidence limits are displayed. The worksheet also contains the tabular calculations for any set of correlation coefficients (given as ρ). For any stated value of the population correlation (ρ), the z statistic is denoted as Z(ρ), and the corresponding correlation confidence limits can be determined. Analytical techniques and methods are accepted or rejected by large research organizations using the “correlation eye-bailing” test, where the method is accepted or rejected solely on a relative comparison of correlation coefficients, without the benefit of computing the confidence limits.
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