# How do you show that two distributions are the same?

## How do you show that two distributions are the same?

The Kolmogorov-Smirnov test tests whether two arbitrary distributions are the same. It can be used to compare two empirical data distributions, or to compare one empirical data distribution to any reference distribution. It’s based on comparing two cumulative distribution functions (CDFs).

### How do you compare two frequency distributions?

If you simply want to know whether the distributions are significantly different, a Kolmogorov-Smirnov test is the simplest way. A Wilcoxon rank test to compare medians can also be useful.

#### What is a comparison distribution?

Define Comparison Distribution. Distribution used in hypothesis testing. It represents the population situation if the null hypothesis is true. it is the distribution to which you compare the score based on your sample’s results.

How do you compare distributions in AP Stats?

When comparing two distributions, students should compare shape, center, variability and outliers between the two distributions using comparative words (less than, greater than, similar to). Don’t simply list shape, center, variability, and outliers for each distribution. They must compare.

What statistic is used to compare two frequency distributions?

## What statistical analysis should I use to compare two groups?

The two most widely used statistical techniques for comparing two groups, where the measurements of the groups are normally distributed, are the Independent Group t-test and the Paired t-test.

### How do you compare distributions in a dot plot?

COMPARING DOT PLOTS NUMERICALLY

• Compare the shapes of the dot plots. The dot plots appear almost opposite.
• Compare the centers of the dot plots by finding the medians.
• Compare the spreads of the dot plots by calculating the ranges.
• Calculate the median and range of the data in the dot plot.