Difference between revisions of "SOCR EduMaterials AnalysisActivities KolmogorovSmirnoff"
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===Overview of the Kolmogorov-Smirnoff Test=== | ===Overview of the Kolmogorov-Smirnoff Test=== | ||
| − | The Kolmogorov-Smirnoff test (KS-test) compares how distinct two datasets are. The KS-test has makes no assumption about the distribution of data, and therefore is a [http://en.wikipedia.org/wiki/Non-parametric_statistics non-parametric, or distribution-free, test]. Other [http://en.wikipedia.org/wiki/Parametric_statistics parametric tests], e.g., Student's t-test, Normal Z-test, etc., may be more [[AP_Statistics_Curriculum_2007_Hypothesis_Basics#Type_I_Error.2C_Type_II_Error_and_Power | sensitive] if the ''data meet the requirements'' of the test. | + | The Kolmogorov-Smirnoff test (KS-test) compares how distinct two datasets are. The KS-test has makes no assumption about the distribution of data, and therefore is a [http://en.wikipedia.org/wiki/Non-parametric_statistics non-parametric, or distribution-free, test]. Other [http://en.wikipedia.org/wiki/Parametric_statistics parametric tests], e.g., Student's t-test, Normal Z-test, etc., may be more [[AP_Statistics_Curriculum_2007_Hypothesis_Basics#Type_I_Error.2C_Type_II_Error_and_Power | sensitive]] if the ''data meet the requirements'' of the test. [http://en.wikipedia.org/wiki/Kolmogorov-Smirnov_test More information about the Kolmogorov-Smirnoff Test is available here]. |
===Examples=== | ===Examples=== | ||
Revision as of 14:43, 20 October 2008
Contents
SOCR Analysis Activities - SOCR Analyses Example on Kolmogorov-Smirnoff Test
Overview of the Kolmogorov-Smirnoff Test
The Kolmogorov-Smirnoff test (KS-test) compares how distinct two datasets are. The KS-test has makes no assumption about the distribution of data, and therefore is a non-parametric, or distribution-free, test. Other parametric tests, e.g., Student's t-test, Normal Z-test, etc., may be more sensitive if the data meet the requirements of the test. More information about the Kolmogorov-Smirnoff Test is available here.
Examples
This example is based on a dataset from the R package under the library MASS. The dataset's name is oats. The quantitative variable Y (yields of oats field) is grouped by three varieties (the categorical variable here), Victory, Golden.rain and Marvelous.
The analysis steps
- As you start the SOCR Analyses Applet, click on Kolmogorov-Smirnoff Test from the combo box in the left panel. Next, click on Example 4 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 two groups.
- Now you will click on Compute to let the program produce the results. Click on Result to view the results.
- Click on Graph to view plots.
- 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.
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