There are a number of different types of hypothesis tests, useful for different hypothesis scenarios and data samples. The most commonly used are listed in review below.

## Types of Hypothesis Tests: a Roadmap

**Normality:** tests for normal distribution in a population sample.

**T-test:** tests for a Student’s t-distribution – ie, in a normally distributed population where standard deviation in unknown and sample size is comparatively small. Paired t-tests compare two samples.

**Chi-Square Test for Independence:** tests for an association of significance between two categorical variables in a population sample. Typically used with random sampling.

**Homogeneity of Variance (HOV):** tests the similarity of dispersion parameters in two or more population samples.

**Analysis of Variance (ANOVA):** tests for and analyzes differences between the means in several groups. Often used similarly to a t-test, but for more than two groups.

**Mood’s Median:** compares the medians of two or more population samples.

**Welch’s T-test:** tests for equality of means between two population samples. Also known as *Welch’s unequal variances t-test*.

**Kruskal-Wallis H Test:** compares two or more groups with an independent variable, based on a dependent variable. Also known as *one-way ANOVA on ranks*.

**Box-Cox Power Transformation:** transforms a data set into normal distribution.

**Proportion tests:**

## How to Choose Which Hypothesis Test to Use

## Six Sigma Types of Hypothesis Tests Practice Questions

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## Comments (7)

Thank you for the information however request you to incorporate all the tests of hypothesis with simple examples used in day to day life.Also catagorize with the type of hypothesis it falls under for eg simple,complex ,empirical… if possible

Hi Swati,

Glad you like the information. What other hypothesis tests would you add? Also, if you click the link to the ones listed you’ll go to a page where you’ll see more information and examples.

I’m not sure what you mean about type of hypothesis. Could you elaborate?

Best, Ted.

Hi,

Examples for each test would be appreciated.

Thanks

Hi Shubham – I have hundreds of examples in the paid course. Come join us!

Hi!would you mind if u also gives idea like ths about other statistical tools in parametric and its the same tools in non-parametric for comparison po.tnx in advance. I do have a xerox of some statistical tool but its already faded .and i cant find a book with that kind of discussion..

Hi Vega,

Please see the write ups on non parametrics here.

Hi Vega,

Thanks for the note. You can see this in the nonparametrics article and the other articles linked from there.

Best, Ted