# Chi Square test in Excel using QI Macros

### There are different types of Chi Square tests:

Note: Excel does not do table tests; QI Macros adds this functionality.

### Chi Square test of a Contingency Table

A Chi Square test evaluates if two variables are independent of each other. We've all taken surveys and probably wondered what happened. A Chi Square test of a contingency table helps identify if there are differences between two or more demographics. Consider the following example.

### Men vs. Women - Chi Square test Example

We can develop a null hypothesis (H0) that point of view and gender are independent and an alternate hypothesis (Ha) that gender and point of view are related:

• H0 - two variables (gender and views) are independent
• Ha - two variables are dependent (views depend on gender)

Now, conduct the survey and enter the number of responses into Excel. As you can see, men seem to agree more than the women do, but is it statistically different?

Select the data with the mouse and click on QI Macros Menu, Statistical Tools to select the one sample Chi Square test:

The Chi Square test macro will calculate the values and interpret the results for you:

Note that we don't need the same number of responses from each group to get a result.
Individual Chi-Square values are listed below the table. They add up to the total Chi-Square value in F1.

### Interpreting the Chi Square results

 If Then p value < a Reject the null hypothesis Variables are Related p value > a Cannot Reject the null hypothesis Variables are Independent

In the above results the p value is 0.00031.

If the p value is less than the significance (e.g., a=0.05), we can reject the null hypothesis that views are independent of gender. Gender and point of view are related; men and women have different points of view.

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