When should I use the chi-square test and when should I use the Student’s t-test and why!?

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Sal Mangiafico

The most important difference between Student’s t-test and the chi-square test of association is that the measurement variable for a t-test is continuous, and the chi-square test is used on counts of observations.

The difference between “groups” and “variables” is really just semantic. A variable can list groups or a measurement variable. A contingency table of counts can also be expressed as two variables. It's just how the data are presented.

The difference between parametric and non-parametric is a useful distinction, but not as important as understanding when tests are used and their assumptions.

Chinakorn Sujimongkol

Data Type:Chi-square Test: This test is used when dealing with categorical or nominal data. It assesses whether there is a significant association or independence between two categorical variables. The variables are often presented in a contingency table, and the test evaluates if there is a difference between the expected and observed frequencies. T-Test: The t-test, on the other hand, is used when dealing with continuous or interval data. It is employed to compare means between two groups, either independent groups (Independent T-Test) or related groups (Paired T-Test).

Nature of the Test:Chi-square Test: The chi-square test is a non-parametric test, meaning it doesn't make assumptions about the distribution of the data. It's particularly useful for testing relationships between categorical variables. T-Test: The t-test is a parametric test and assumes that the data is normally distributed. It is well-suited for comparing means and is sensitive to differences in means between groups.

Jochen Wilhelm

Sal Mangiafico , did you notice that Mohammad claims to be a full professor in statistics with particular skills and expertise in Applied Statistics. Statistical Analysis, Statistical Modeling. Time Series Analysis ?

Jochen Wilhelm , I didn't notice. Not sure what to make of it all....

Massimo Sivo

The question is misleading

t is related to the estimate of the "parameter" mean of the normal distribution

chi-square is related to the estimate of the "parameter" variance of the normal distribution

BUT, it is also used for other estimates of other "parameters" of other distributions!!!!
meditate...

Angel De Souza-Torres

The t-test and the chi-square test are two different statistical tests used for different types of data. The t-test is used to compare the means of two groups and is suitable for continuous numerical data. On the other hand, the chi-square test is used to examine the association between two categorical variables.