# SOCR EduMaterials AnalysisActivities FlignerKilleen

## SOCR Analysis Activities - Fligner-Killeen Non-parametric Test

### Overview of the test Fligner-Killeen

The Fligner-Killeen test is a non-parametric test comparing whether k samples have equal variances. Some alternative statistical tests, for example the analysis of variance, assume that variances are equal across groups or samples.

### Examples

#### Example 1

Go to the SOCR Fligner-Killeen Non-parametric Test Applet. This example is based on a dataset from the R package under the library MASS. The dataset's name is InsectSprays. In this dataset, there are two variables: count, which is quantitative, and spray, a factor of six groups, denoted by A to F. Here are the analysis steps for this example:

• As you start the SOCR Analyses Applet, click on Fligner-Killeen Test from the combo box in the left panel. Next, click on Example 2 and then the Data tab on the top of the right panel. You will see something like below. The data have been divided into 6 columns by groups.
• Click on the Mapping tab to map the groups you would like to include in the analysis. Select at least two groups.
• Now you will click on Compute to let the program produce the results. Click on Result to view the results.
Note: if you happen to click on the "Clear" button in the middle of the procedure, all the data will be cleared out. Simply start over from step 1.

### InsectSprays dataset

 Index count spray 1 10 A 2 7 A 3 20 A 4 14 A 5 14 A 6 12 A 7 10 A 8 23 A 9 17 A 10 20 A 11 14 A 12 13 A 13 11 B 14 17 B 15 21 B 16 11 B 17 16 B 18 14 B 19 17 B 20 17 B 21 19 B 22 21 B 23 7 B 24 13 B 25 0 C 26 1 C 27 7 C 28 2 C 29 3 C 30 1 C 31 2 C 32 1 C 33 3 C 34 0 C 35 1 C 36 4 C 37 3 D 38 5 D 39 12 D 40 6 D 41 4 D 42 3 D 43 5 D 44 5 D 45 5 D 46 5 D 47 2 D 48 4 D 49 3 E 50 5 E 51 3 E 52 5 E 53 3 E 54 6 E 55 1 E 56 1 E 57 3 E 58 2 E 59 6 E 60 4 E 61 11 F 62 9 F 63 15 F 64 22 F 65 15 F 66 16 F 67 13 F 68 10 F 69 26 F 70 26 F 71 24 F 72 13 F