Illuminating Statistical Analysis Using Scenarios and Simulations by Kottemann Jeffrey E

Author:Kottemann, Jeffrey E. [Неизв.]
Language: eng
Format: epub
ISBN: 9781119296331
Publisher: John Wiley & Sons, Inc.
Published: 2017-02-13T00:00:00+00:00

For the second scenario, the variance ratio of with 2 and 87 degrees of freedom yields a -value of less than 0.00001. (This is way off the chart shown in Figure 34.3) Reject the null hypothesis of equal population means.

The first scenario with sample means of 3.9, 4, and 4.1 gives a much smaller estimate for of divided by 2 degrees of freedom equaling 0.01. The indirect estimate for the population variance is therefore also much smaller at equaling 0.3. The direct estimate for is the average of the sample variances and equals 1. of with 2 and 87 degrees of freedom yields a -value of 0.74. Do not reject the null hypothesis of equal population means.3

Next, let's look at the fourth scenario with sample means of 3, 4, and 5, sample variances equal 8.9, 9.0, and 9.1, and all sample sizes equal 30. Figure 34.4 shows the results of a sampling simulation. (Recall that larger population variances have wider sample mean distributions.)

Figure 34.4

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