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Mood's Median test

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QXL Stat Tools Tab > Hypothesis Tests > Tests for Median > Mood's Median

Test type: Median
Data: Quantitative
Number of Variables: 1
Number of Groups: 2 or more
Assumptions: Two or more samples from continuous distributions

Mood's Median test is a hypothesis test used to compare the medians of two or more samples. The null hypothesis is that the medians are equal.

Mood's Median test expects two or more samples from continuous distributions with the same shape. It is similar to one-way ANOVA but for medians instead of means. Mood's median is good if datasets have outliers. If samples do not include outliers the Kruskal-Wallis test is more powerful.

Hypothesis tested:

H0 : Median1 = Median2 = ... = Mediann
H1 : Mediani ≠ Medianj

where Mediank is the population median.

Step #1: Select data source for Mood's Median test.

Data for the Mood's Median test can come from an Excel spreadsheet or SQL data source.

See source data formats and example data for the Mood's Median test.

Step #2: Options.

  • 'Decision Criteria' option (default = 0.05). The value of the decision criteria (significance or α level).

  • 'Show Box plot' options. Display box plot along with hypothesis results.

  • 'Display mode' option. When the 'Verbose (long)' option is on, Quantum XL will display additional text that explains the hypothesis test results.

Example

Three testers have measured the time to load the same web pages. Our intent was to check if there is a difference between load times.

Mood's Median Results

Quantum XL will display Chi-Square test statistic, degrees of freedom, overall median, statistics per sample and p Value.

Since the p-Value (.0000002) is less than the decision criteria (0.05) the null hypothesis can be rejected. We can draw the conclusion that the medians are different.

Quantum XL also displays 95% confidence interval for the median, per sample.

Update

Mood's Median test is updatable. After you create the analysis, you can change its data source or add new data to the data source and simply update the analysis.

  • Update: Quantum XL > Statistical Tools > Update Sheet

  • Change settings: Quantum XL > Statistical Tools > Modify Chart/Analysis