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Behavioral Statistics in Action Book Cover Image
Behavioral Statistics in Action, 3/e
Mark W. Vernoy, Palomar College
Diana J. Kyle, Fullerton College

One-Way Analysis Of Variance

Internet Exercises



Visualizing Mean Square Between and Within Estimates Applet Exercise (Rice University)

http://www.ruf.rice.edu/~lane/stat_sim/one_way/index.html



1

Click on the word "begin" and an applet appears. The screen is yellow and blue. In the top right corner, under the words "choose dataset", position the arrow to "blank dataset." The three blue columns are three (n=10) different groups. You can enter data by pointing the cursor to the centerline of the column and clicking. As each data point is added, the mean is recomputed and shown in the table below. In addition, the results of each modification appear in the source table in the bottom left corner. The pie chart illustrates the proportions of the sum of the squared deviations between the groups (blue) and the sum of the squared deviations within (black) groups.

1. Enter 10 scores in approximately the same location in all three columns. What color is the pie chart when the 10 scores are the same in each group? What is the F value? What is the p value?

2. Click the "clear data" button. Now enter 10 scores in the bottom 1/3 area of the first group, the top 1/3 area of the second group, and the bottom 1/3 area of the third group. Notice the changes in the computed F, p value, and the SS sections displayed in the pie chart.

a. Now, move your cursor to the data in the middle group and drag one data point (black dot) to the bottom 1/3 area of the column. Drag several more data points to the bottom 1/3 area and each time examine the changes in the source table and the pie chart. Explain these changes.