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Applied Psychological Measurement >
Volume 11, 1987 >
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| Title: | Power and robustness in product-moment correlation |
| Authors: | Fowler, Robert L. |
| Issue Date: | 1987 |
| Citation: | Fowler, Robert L. (1987). Power and robustness in product-moment correlation. Applied Psychological Measurement, 11, 419-428. doi:10.1177/014662168701100407 |
| Abstract: | The power of statistical tests based on four popular
product-moment correlation coefficients was examined
when relatively small samples (10 ≤ N ≤ 100) are
drawn from bivariate populations of several different
distributional shapes. Analytical procedures for determining
theoretical power under conditions of bivariate
normality are presented for the Pearson (r[subscript p]), Spearman
(r[subscript s]), point-biserial (r[subscript pb]), and phi (r[subscript fp]) coefficients. A
monte carlo study supported previous conclusions that
t as a test of H[subscript 0]: ρ=0, with r[subscript p] estimating ρ, is robust
over a wide range of non-normality; however, frequent
use of r[subscript s] leads to greater power under identical distributional
assumption violations. The proportion of
power due to Type III errors was also specified both
analytically and empirically, and revealed the relative
invulnerability of most statistical tests to directional
misinterpretation. |
| Permanent URL: | http://purl.umn.edu/114844 |
| Appears in Collections: | Volume 11, 1987
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| v11n4p419.pdf | | 1186Kb | PDF | View/Open |
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