Example of Runs Test

A researcher for a pharmaceutical company wants to compare the effects of three treatments on 35 patients. The researcher assigns a treatment to each patient. The researcher wants to determine whether the treatment assignments are random.

To determine whether the treatment assignments are random, the researcher performs a runs test.

  1. Open the sample data, TreatmentAssignments.MTW.
  2. Choose Stat > Nonparametrics > Runs Test.
  3. In Variables, enter Treatment.
  4. Click OK.

Interpret the results

The p-value is 0.930, which is greater than the significance level of 0.05. The researcher does not have enough evidence to conclude that the data are not in random order.

Runs Test: Treatment

Descriptive Statistics Number of Observations N K ≤ K > K 35 2 23 12 K = sample mean
Test Null hypothesis H₀: The order of the data is random Alternative hypothesis H₁: The order of the data is not random
Number of Runs Observed Expected P-Value 17 16.77 0.930
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