You can use **proc univariate **in SAS with the **normal** statement to perform several normality tests on a variable in a dataset.

This procedure uses the following basic syntax:

**proc univariate data=my_data normal;
var my_variable;
run;**

The following example shows how to use this procedure in practice.

**Example: Proc Univariate for Normality Tests in SAS**

Suppose we have the following dataset in SAS that contains information about various basketball players:

**/*create dataset*/
data my_data;
input team $ points rebounds;
datalines;
A 12 8
A 12 8
A 12 8
A 23 9
A 20 12
A 14 7
A 14 7
B 20 2
B 20 5
B 29 4
B 14 7
B 20 2
B 20 2
B 20 5
;
run;
/*view dataset*/
proc print data=my_data;
**

We can use **proc univariate **with the **normal** statement to perform various normality tests on the **points** variable:

**proc univariate data=my_data normal;
var points;
run;**

Several tables will be shown in the output but the one titled **Tests for Normality** contains the results of the normality tests:

By default, SAS performs four normality tests and displays each of their test statistics and corresponding p-values:

**Shapiro-Wilk Test**: W = .867, p = .0383**Kolmogorov-Smirnov Test**: D = .237, p = .0318**Cramer-von Mises Test**: W-Sq = .152, p = .0200**Anderson-Darling Test**: A-Sq = .847, p = .0223

Each normality test uses the following null and alternative hypotheses:

**H**: The data are normally distributed._{0}**H**: The data are not normally distributed._{A}

Since the p-value for each normality test is less than .05, we would reject the null hypothesis for each normality test.

This means there is sufficient evidence to conclude that the **points** variable is not normally distributed.

Note that you can also create a histogram with a normal curve overlaid on it to visualize the distribution of values for the **points** variable:

**proc univariate data=my_data;
histogram points / normal;
run;**

From the histogram we can see that the distribution of values doesn’t follow the normal curve very well, which agrees with the results of the normality tests that we performed.

**Additional Resources**

The following tutorials explain how to perform other common tasks in SAS:

How to Use Proc Summary in SAS

How to Use Proc Tabulate in SAS

How to Use Proc Rank in SAS