Chapter 13: Q. 9 (page 547)
In this problem, consider an F-curve with .
Identify the degrees of freedom for the denominator.
Short Answer
The degree of freedom for the denominator is
Chapter 13: Q. 9 (page 547)
In this problem, consider an F-curve with .
Identify the degrees of freedom for the denominator.
The degree of freedom for the denominator is
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Get started for freeArtificial Teeth: Hardness. In a study by J. Zeng et al., three materials for making artificial teeth-Endura, Duradent, and Dura cross_were tested for hardness. 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). The Vickers microhardness (VHN) of the occlusal surfaces was measured with a load of 50 grams and a loading time of 30 seconds. Six pairs of teeth were tested for each material. The data on the Weiss Stats 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 hardness among the three materials?
Following are the notations for the three sums of squares. State the name of each sum of squares and the source of variation each sum of squares represents.
a. SSE
b. SSTR
c. SST
State the four assumptions for one-way ANOVA, and explain how those assumptions can be checked.
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
Sample 1 | Sample 2 | Sample 3 |
5 | ||
Losses to Robbery. The Federal Bureau of investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime indicators, Independent simple random samples of reports for three types of robberies-highway, gas station, and convenience store gave the following data, in dollars, on the value of losses.
a. What does MSTR measure?
b. What does MSE measure?
c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
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