How to identify which statistic test to use for a problem fo

How to identify which statistic test to use for a problem for one-sample t test, two sample t test, repeated measure, one way anova, correlation and regression and chi square and z test?

Solution

It is used when we want to compare the sample mean (statistics) with population mean (parameter).

Two samples t-test is used when we want to compare the difference in means of normally distributed populations.

Repeated measure, one way ANOVA:

A one-way analysis of variance (ANOVA) is used when we we have two variables: One independent variable (with two or more categories) and second: dependent variable which is normally distributed, and we want to test that the differences in the means of the dependent variable which is broken down by the levels (categories) of the independent variable.

Chi-square goodness of fit

A chi-square goodness of fit test is used when we wnat to know that whether the observed proportions (distribution) for a categorical variable differ from hypothesized proportions (distribution).

z-test:

z-test is used when we want to test the claim about population proportion or population mean with population standard deviation known.

Correlation:

It is used when we want to test the relationship between the two variables. here hypothesis test is used to test the claim about the population correlation coefficient between the variables.

Regression:

It is used when we want to know the relationship between a dependent variable and one or more independent variable.