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Chapter 13: Q. 13.19 (page 532)
13.19 What does the term one-way signify in the phrase one-way?
A one-way involves only one component, commonly known as an independent variable.
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Artificial Teeth: Wear. In a study by J. Zeng et al. three materials for making artificial teeth-Endura, Duradent, and Duracross-were tested for wear. Their results were published as the paper "In Vitro Wear Resistance of Three Types of Composite Resin Denture Teeth" (Journal of Prosthetic Dentistry, Vol. 94 . Issue 5. pp. 453-457 ). Using a machine that simulated grinding by two right first molars at 60 strokes per minute for a total of 50,000 strokes, the researchers measured the volume of material worn away, in cubic millimeters. Six pairs of teeth were tested for each material. The data on the WeissStats site are based on the results obtained by the researchers. At the 5 % significance level, do the data provide sufficient evidence to conclude that there is a difference in mean wear among the three materials?
Starting Salaries. The National Association of Colleges and Employers (NACE) conducts surveys on salary offers to college graduates by field and degree. Results are published in Salary Survey. The following table provides summary statistics for starting salaries, in thousands of dollars, to samples of bachelor's-degree graduates in six fields.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean starting salaries among bachelor's-degree candidates in the six fields? Note; For the degrees of freedom in this exercise:
We have provided data from independent simple random samples from several populations. In each case, determine the following items.
a. SSTR
b. MSTR
c. SSE
d. MSE
e. F
In one-way ANOVA,
a. list and interpret the three sums of squares.
b. state the one-way ANOVA identity and interpret its meaning with regard to partitioning the total variation among all the data.
| Sample 1 | Sample 2 | Sample 3 | Sample 4 |
| 7 | 5 | 6 | 3 |
| 4 | 9 | 7 | 7 |
| 5 | 4 | 5 | 7 |
| 4 | 4 | 4 | |
| 8 | 4 |
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