The chi-squared test is vital in determining whether certain definite variables, (that have no numerical independent variables) match or fit with the anticipated statistical distributions (Raposo & Barcel, 2021). For example, if it is expected that in a particular week, there will be an equal number of people visiting a clinic. The chi-square goodness of fit will help in determining the weather expectation and the measurement of the actual number of people visiting the clinic in different weeks are matching.

Differences between Goodness of Fit Test and Tests for Independence

According to Finkelstein-Fox & Park (2019), the goodness of fit test is used to ascertain the frequency distribution of the definite variable that is different from the expected value while tests for independence determine why two definite variables are closely related to each other. provide additional examples not already discussed. Examples should be as specific as possible and state the variable and categories. Use reference source(s) to support your response.