Using an Applet to Demonstrate the Sampling Distribution of an F-statistic
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This activity was anonymously reviewed by educators with appropriate statistics background according to the CAUSE review criteria for its pedagogic collection.
This page first made public: Feb 6, 2008
This material is replicated on a number of sites as part of the SERC Pedagogic Service Project
Context for Use
Prior to this activity students should have some understanding of the concept of the Analysis of Variance (ANOVA) method. That is, testing the equality of the expected responses for some number of treatments.
Description and Teaching Materials
- Sampling Distributions of Analysis of Variance (ANOVA) Method Applet
- Instructor's guide to applet use. Applet Instructions (Microsoft Word 160kB Aug14 06)
- Instructor's Excel File (Excel 19kB Aug14 06)
- Student worksheet. In Class Activity (Microsoft Word 34kB Aug14 06)
- Follow Up Questions (Microsoft Word 22kB Aug14 06)
Teaching Notes and Tips
- Students should bring a calculator to class to aide in summary statistic calculations. Although it may not be necessary, it streamlines the activity process.
- The instructor will create stations around the classroom that correspond to the following six college major classifications:
- Biological Sciences
- Physical Sciences
- Biological Sciences
- The instructor will then ask the students to record their ages at the station that best corresponds to their college major. This process works best with students called upon by rows.
- Once all students have recorded their ages the instructor will break up the class evenly into groups for all the college majors that have students represented in the class.
- The groups will then work on the worksheet provided. As the students are calculating the summary statistics, the instructor should prepare the Excel spreadsheet provided. (Excel 19kB Aug14 06) This spreadsheet will carry out the Analysis of Variance (ANOVA) test procedure for four, five and all six major classifications.
- After a discussion about the Analysis of Variance process and some discussion about the distributions of mean square treatment and mean square error, the instructor will use the online demo to simulate the distributions of mean square treatment and mean square error.
Tips for applet usage are given in the attached document.
Also some follow up questions (Microsoft Word 22kB Aug14 06) are provided.