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. Author manuscript; available in PMC: 2010 Feb 10.
Published in final edited form as: Psychol Methods. 2002 Mar;7(1):83. doi: 10.1037/1082-989x.7.1.83

Table 3.

Comparison of Multivariate Delta Standard Error Estimates to Standard Deviation of Point Estimates

Sample size
Effect size 50 100 200 500 1,000
Standard deviation for simple minus partial correlation rdifference
Zero .0215 .0119 .0049 .0021 .0009
Small .0361 .0207 .0159 .0087 .0061
Medium .0721 .0489 .0347 .0227 .0162
Large .0947 .0623 .0456 .0288 .0197
Olkin & Finn (1995) standard error
Zero .0252 .0127 .0061 .0025 .0013
Small .0346 .0226 .0151 .0089 .0063
Medium .0711 .0496 .0351 .0221 .0156
Large .0921 .0649 .0461 .0270 .0205
Standard deviation of product of coefficients for standardized variables rproduct
Zero .0205 .0117 .0051 .0021 .0009
Small .0349 .0207 .0157 .0088 .0061
Medium .0698 .0465 .0323 .0215 .0157
Large .0831 .0556 .0405 .0252 .0177
Bobko & Rieck (1980) standard error
Zero .0256 .0127 .0061 .0025 .0012
Small .0351 .0228 .0152 .0089 .0063
Medium .0722 .0497 .0351 .0219 .0155
Large .0919 .0637 .0452 .0282 .0199

Note. The measure of the true standard error for the simple minus partial correlation is the standard deviation of the simple minus partial correlation. The measure of the true standard error of the product of coefficients for standardized variables is the standard deviation of the product of coefficients for standardized variables.