Exam 14: Analysis of Variance

The equation: SS(Total) = SS(A) + SS(B) + SS(AB) + SSE applies to which ANOVA model?

The ____________________ adjustment used with the LSD method decreases the experimentwise Type I error rate.

Which of the following is a required condition for ANOVA?

When the variation associated with blocks is removed from the data, SSE increases.

LSAT Scores A recent college graduate is in the process of deciding which one of three Law schools he should apply to.He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT) scores of those who are accepted into the school.A random sample of six students in each school produced the following LSAT scores.An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools. -{LSAT Scores Narrative} Use Tukey's method with $\alpha$ = 0.05 to determine which population means differ.

In one-way ANOVA, the term refers to the:

Keyboard Configuration and Size The data shown below were taken from a 2 1 x 3 factorial experiment to examine the effects of factor A (keyboard configuration, 3 levels) and factor B (keyboard size, 2 levels) on typing speed.Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes). -{Keyboard Configuration and Size Narrative} Test at the 5% significance level to determine if time differences exist among the keyboard sizes.

In ANOVA, a criterion by which the populations are classified is called a factor.

Which of the following components in an ANOVA table is not additive?

Consider the following ANOVA table: The total number of observations is:

Number of observation for a particular combination of treatments is called a replicate.

The purpose of designing a randomized block experiment is to reduce the between-treatments variation (SST) to more easily detect differences between the treatment means.

Which of the following statements is true?

Arthritis Pain Formulas A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain.Their laboratories have produced three different medications and they want to determine if the different medications produce different responses.Fifteen people who complained of arthritis pains were recruited for an experiment; five were randomly assigned to each medication.Each person was asked to take the medicine and report the length of time until some relief was felt (minutes).The results are shown below.(Assume normal distributions with equal variances.) -{Arthritis Pain Formulas Narrative} Do these data provide sufficient evidence to indicate that differences in the average time of relief exist among the three medications? Use $\alpha$ = 0.05.

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. -{Sub Sandwich Customers Narrative} 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 F-test in ANOVA tests whether or not the population variances are equal.

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total) = 2000, SST = 400, SSE = 200.The value of MSB must be 350.

When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

In Fisher's least significant difference (LSD) multiple comparison method, the LSD value will be the same for all pairs of means if:

The test of whether the block means differ uses an F-test whose test statistic is ____________________ divided by ____________________.