Disattenuated correlation (Spearman, 1904)

Corrects an observed correlation for unreliability in either or both variables.

Usage

disattenuate_correlation(r_observed, reliability_x = 1, reliability_y = 1)

Arguments

r_observed

Observed correlation.

reliability_x

Reliability of X (default 1, i.e., no correction).

reliability_y

Reliability of Y (default 1).

Value

Disattenuated correlation. Capped at +/- 1 with a warning when the algebraic value exceeds 1 in magnitude (typically a sign of unreliable reliability inputs).

References

Spearman, C. (1904). The proof and measurement of association between two things. American Journal of Psychology, 15, 72-101.

Examples

disattenuate_correlation(0.30, reliability_x = 0.80, reliability_y = 0.70)
#> [1] 0.4008919