You can use the **CINV **function in SAS to find critical values from the Chi-Square distribution.

This function uses the following basic syntax:

**CINV(p, df)**

where:

**p:**1 – the significance level**df**: The degrees of freedom

The following example shows how to use the **CINV** function in practice to calculate Chi-Square critical values.

**Example: How to Use CINV Function in SAS to Calculate Chi-Square Critical Values**

Suppose we would like to find the Chi-Square critical value for a significance level of **0.05** and degrees of freedom = **11**.

We can use the **CINV** function to calculate this value:

**/*create dataset that contains Chi-Square critical value*/
data my_data;
critical_val=cinv(.95, 11);
put critical_val=;
run;
/*view results*/
proc print data=my_data; **

The Chi-Square critical value for a significance level of 0.05 and degrees of freedom = 11 is **19.67514**.

Thus, if we’re conducting some type of Chi-Square test then we can compare the Chi-Square test statistic to **19.67514**.

If the test statistic is greater than **19.67514**, then the results of the test are statistically significant.

It’s worth noting that smaller values for the significance level will lead to larger Chi-Square critical values.

For example, consider the Chi-Square critical value for a significance level of 0.01, and degrees of freedom = 11:

**/*create dataset that contains Chi-Square critical value*/
data my_data;
critical_val=cinv(.99, 11);
put critical_val=;
run;
/*view results*/
proc print data=my_data; **

The Chi-Square critical value for a significance level of 0.01 and degrees of freedom = 11 is **24.7250**.

**Note**: You can also use the Chi-Square distribution table to find critical values by hand. The values that you find in the table will match the ones calculated by the **CINV** function in SAS.

**Additional Resources**

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

How to Perform a Chi-Square Test of Independence in SAS

How to Perform a Chi-Square Goodness of Fit Test in SAS