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Results_Tutorial_MultRegression1.docx

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Reardon / PSYC 291

Writing up Results – Multiple Regression

1. Indicate what model you tested by saying what the criterion variable was and what the predictor variables were.

2. Say whether the overall regression was significant. How do you know this? Look at the p-value associated with the F statistic in the ANOVA table. Be sure to indicate the F value (with degrees of freedom), R2, and the associated p-value. You should also interpret what the value for R2 means (this is not usually done in results sections but I want you to do it for this class).

3. Indicate which predictor variables are significant. Be sure to include the slope (b or Beta but Beta is usually used), the standard error, and the p-value. Then, interpret the slope. (*This is not always done in actual results sections but I want you to do it.) You do not need to mention or interpret predictors that were not significant.

Example:

A multiple regression tested whether depression score was predicted by alcohol use, negative life events, and gender. The overall regression was significant, F(3,112) = 3.24, p < .001, R2 = .23. Together, alcohol use, negative life events and gender account for about 23% of the variability in depression scores.

Alcohol use significantly predicted depression score, β = .34, SE = 1.12, p = .023. As alcohol use increased one standard deviation, depression score increased by .34 standard deviations, holding negative life events and gender constant. Gender also significantly predicted depression score, β = -.18, SE = 0.98, p = .032. Being male was associated with a decrease in depression score of .18 standard deviations, holding alcohol use and negative life events constant.

* Notice that the statistics were included in such a way that even if they are taken out, it is still a complete sentence. Also notice that the letters are in italics for the reported statistics.