CHI-SQUARE TEST: TWO MORE TYPES OF KEY INFORMATION THAT SHOULD BE REPORTED BY THE RESEARCHERS WHEN THERE IS A STATISTICALLY SIGNIFICANT ASSOCIATION BETWEEN TWO CATEGORICAL VARIABLES
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Abstract
The chi-square test is a statistical procedure commonly used for testing the association between two categorical variables measured at nominal or ordinal scale. The null hypothesis of the chi-square test states that there is no association between two categorical variables. The alternative hypothesis states that there is an association between two categorical variables. If the result of chi-square test is statistically significant, the researchers should analyze and report how the levels of one categorical variable depend on the levels of the other categorical variable by analyzing standardized residual in each cell. Researchers, in addition, should analyze and report the effect size which is a statistic used to evaluate the magnitude of association between two categorical variables. The research result will be evaluated as practically significant if the magnitude of association between two categorical variables is large enough to create the value in the real life setting of a person who draws out the implications of research results.
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