FAQ/pearson - CBU statistics Wiki

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The relationship between the Pearson correlation and a simple regression coefficient

The Pearson correlation equals the beta coefficient in SPSS which is the regression estimate from using one standardized predictor to predict a standardized outcome. The t-test in the regression for the unstandardized coefficient, B, is equivalent to testing if a correlation equals zero. The regression model is assumed to contain the intercept as well as the predictor.

The following syntax in SPSS is equivalent

REGRESSION
  /MISSING LISTWISE
  /STATISTICS COEFF OUTS R ANOVA
  /CRITERIA=PIN(.05) POUT(.10)
  /NOORIGIN
  /DEPENDENT y
  /METHOD=ENTER x  .

CORRELATIONS
  /VARIABLES=y x
  /PRINT=TWOTAIL NOSIG
  /MISSING=PAIRWISE .

Reference

Cohen, J., & Cohen, P. (1983). Applied multiple regression/correlation analysis for the behavioral sciences (2nd edition). Hillsdale, NJ: Erlbaum.