The CORR Procedure

Example 1: Computing Pearson Correlations and Other Measures of Association

Procedure features:
PROC CORR statement options:
 HOEFFDING PEARSON SPEARMAN
VAR statement

This example

• produces a correlation analysis with descriptive statistics, Pearson product-moment correlation, Spearman rank-order correlation, and Hoeffding's measure of dependence, D

• selects the analysis variables.

`options nodate pageno=1 linesize=80 pagesize=60;`
 ```data fitness; input Age Weight Runtime Oxygen @@; datalines; 57 73.37 12.63 39.407 54 79.38 11.17 46.080 52 76.32 9.63 45.441 50 70.87 8.92 . 51 67.25 11.08 45.118 54 91.63 12.88 39.203 51 73.71 10.47 45.790 57 59.08 9.93 50.545 49 76.32 . 48.673 48 61.24 11.5 47.920 52 82.78 10.5 47.467 44 73.03 10.13 50.541 45 87.66 14.03 37.388 45 66.45 11.12 44.754 47 79.15 10.6 47.273 54 83.12 10.33 51.855 49 81.42 8.95 40.836 51 77.91 10.00 46.672 48 91.63 10.25 46.774 49 73.37 10.08 50.388 44 89.47 11.37 44.609 40 75.07 10.07 45.313 44 85.84 8.65 54.297 42 68.15 8.17 59.571 38 89.02 9.22 49.874 47 77.45 11.63 44.811 40 75.98 11.95 45.681 43 81.19 10.85 49.091 44 81.42 13.08 39.442 38 81.87 8.63 60.055 ;```
 `proc corr data=fitness pearson spearman hoeffding;`
 ` var weight oxygen runtime;`
 ``` title 'Measures of Association for'; title2 'a Physical Fitness Study'; run;```

 The correlation report includes descriptive statistics, Pearson's rho, Spearman's rho, and Hoeffding's D. The report uses the median, instead of the sum, as a descriptive measure when PROC CORR computes nonparametric measures of association. Because missing data are excluded pairwise, the number of observations PROC CORR uses to calculate the correlation coefficients varies.