Exam 14: Analysis of Variance

The test statistic of the single-factor ANOVA equals:

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

Use Fisher's LSD method with $\alpha$ = 0.05 to determine which school's means differ.

____________________ multiple comparison method is based on the Studentized range statistic.

The F-test of a randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be ____________________ distributed and the population ____________________ must be equal.

Tukey's multiple comparison method is ____________________ (more/less) powerful than Fisher's LSD method.

In the randomized block design for ANOVA, where k is the number of treatments and b is the number of blocks, the number of degrees of freedom for error is:

SST measures the variation ____________________ treatments.

When the F-test is used for ANOVA, the rejection region is always in the right tail.

Which of the following is false regarding SSB?

In ANOVA the populations are classified according to one or more criterion, called ____________________.

The value of the test statistic in a completely randomized design for ANOVA is F = 6.29. The degrees of freedom for the numerator and denominator are 5 and 10, respectively. Using an F table, the most accurate statements to be made about the p-value is that it is:

Sub Sandwich Customers: The marketing manager of a Sub Shop chain is in the process of examining some of the demographic characteristics of her customers. In particular, she would like to investigate the belief that the ages of the customers of Sub Shops, hamburger emporiums, and fast-food chicken restaurants are different. The ages of eight randomly selected customers of each of the restaurants are recorded and listed below. From previous analyses we know that the ages are normally distributed with equal variances for each group. -Do these data provide enough evidence at the 5% significance level to infer that there are differences in ages among the customers of the three restaurants?

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD) multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

The F-test of the randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be normally distributed and the population variances must be equal.

The distribution of the test statistic for analysis of variance is the:

Gold Funds An investor studied the percentage rates of return of three different gold funds. Random samples of percentage rates of return for four periods were taken from each fund. The results appear in the table below: -{Gold Funds Narrative} Test at the 5% significance level to determine whether the mean percentage rates for the three funds differ.

In one-way ANOVA, the test statistic is defined as the ratio of the mean square for error (MSE) and the mean square for treatments (MST), namely, F = MSE / MST.

In employing the randomized block design, the primary interest lies in reducing sum of squares for ____________________.

Food Irradiation In recent years the irradiation of food to reduce bacteria and preserve the food longer has become more common. A company that performs this service has developed four different methods of irradiating food. To determine which is best, it conducts an experiment where different foods are irradiated and the bacteria count is measured. As part of the experiment the following foods are irradiated: meat, poultry, veal, tuna, and yogurt. The results are shown below. -{Food Irradiation Narrative} Can the company infer at the 1% significance level that differences in the bacteria count exist among the four irradiation methods?