How to Use a Chi Square Test in Likert Scales

by Shane Hall, Demand Media

In survey research, a Likert scale is an approach to response categories that measures the extent of a person’s satisfaction or agreement with a set of statements or questions. This type of response category makes it easy to quantify survey responses, simplifying data analysis. A variety of options for analyzing Likert scale data exists, including the chi square statistic, which compares respondents’ actual responses with expected answers. Chi square assesses the statistical significance of a given hypothesis. The greater the level of deviation between actual and expected responses, the higher the chi square statistic and, thus, the less well the results fit the hypothesis.

Step 1

Combine the response categories in your Likert scale. For example, if your Likert scale uses the response categories of strongly agree, agree, disagree, strongly disagree, neither agree nor disagree, combine the agree and strongly agree responses into one category and the disagree and strongly disagree into another. This gives you three categories of responses: agree, disagree and neither.

Step 2

Run the chi square statistical test, using your spreadsheet program or statistical software. To find the test in Excel, for example, click the “Formulas” tab at the top of your spreadsheet, then choose “More Functions” and select “Statistical,” which displays the variety of available procedures. “Chitest” is the chi square procedure. Clicking on a cell and dragging the mouse over the range of data you want analyzed tells Excel the data on which to conduct the chi square test.

Step 3

Examine the results of your chi square test generated by your spreadsheet or statistical program. When reviewing results, pay close attention to the size of the chi square statistic and the level of statistical significance. A higher chi square statistic indicates greater variation between observed and expected responses. Most spreadsheet and statistical programs use a significance level of .05, meaning that there is only a 5 percent chance that the statistical significance, if any, resulted from random chance.

Step 4

Interpret the results of your analysis. Remember that chi square indicates whether a statistically significant relationship exists but does not reveal information about the strength of that relationship.

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  • "Understanding Statistics: An Introduction for the Social Sciences"; Daniel B. Wright; 1998

About the Author

Shane Hall is a writer and research analyst with more than 20 years of experience. His work has appeared in "Brookings Papers on Education Policy," "Population and Development" and various Texas newspapers. Hall has a Doctor of Philosophy in political economy and is a former college instructor of economics and political science.

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