The video below walks through an example of using StatKey to construct a randomization distribution. It also looks ahead to the next section and uses that randomization distribution to determine the p-value.

Randomization is not haphazard; instead, a random process is a sequence of random variables describing a process whose outcomes do not follow a deterministic pattern but follow an evolution …

Feb 9, 2021 · This tutorial provides an explanation of randomization in statistics, including a definition and several examples.

According to Fisher, the spread in the 1024 t-statistics (one for each possible realization of x) should look like the spread in 1024 observations from the t9 distribution.

May 18, 2025 · Explore the principles and steps of randomization tests in AP Statistics, covering setup, execution, and interpretation for inference.

The randomization distribution is the histogram of all values for the statistic from all possible ways the experimental units could have been randomly assigned to groups.

Randomization induces a null distribution on a test statistic. P-value says something about how far the observed test statistic is into the tails of the distribution.

STEP 1: Enter your Null hypothesis value. For two sample cases, the Null will be already listed as µ 1 = µ 2. STEP 2: Generate several thousand samples (say, 10,000 samples) by clicking on the Generate …

The p-value can be calculated as the proportion of statistics in a randomization distribution that are as extreme (or more extreme) than the observed sample statistic

The Randomization Hypothesis says that under the null hypothesis the distribution of X conditional on X 2 Gx is uniform on the set Gx. Since this distribution does not depend on P , we can construct a test …