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Chapter 13: Q. 13.18 (page 532)
13.18 Explain the logic behind one-way .
One way is applied to two groups, it gives the identical results as -test.
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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?
Popular Diets. In the article "Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Risk Reduction" (Journal of the American Medical Association, Vol. , No. 1, Pp, ), M. Dansinger et al. conducted a randomized trial to assess the effectiveness of four popular diets for weight loss. Overweight adults with an average body mass index ofand agesyears participated in the randomized trial for 1 year. The weight losses, in kilograms, based on the results of the experiment are given on the WeissStats site. Negative losses are gains. Weight Watchers.
a. Obtain individual normal probability plots and the standard deviation of the samples.
b. Perform a residual analysis.
c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so. also do parts (d) and (e).
d. Use a one-way ANOVA test to decide, at the significance level, Whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations fewer than the samples were taken.
e. Interpret your results from part (d)
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
Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level-high, mid, or low - and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the paper "Readability Levels of Magazine Ads" (Journal of Advertising Research, Vol. 21. No. 5, pp. 45-51). The number of words of three syllables or more in each ad are provided on the WeissStats site.
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 | ||
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