Exam 14: Analysis of Variance

If our analysis includes all possible levels of a factor,the technique for analyzing the data is called a(n)____________________-effects ANOVA.

In one-way ANOVA,the total variation SS(Total)is partitioned into two sources of variation: the sum of squares for treatments (SST)and the sum of squares for error (SSE).

A complete factorial experiment is an experiment in which the number of replicates is the same for each treatment on which data is collected.

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

The techniques used to detect which population means differ are called multiple ____________________ methods.

When we perform a blocked experiment by using the same subject for each treatment,this is called a(n)____________________ design.

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

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

In a two-factor ANOVA,there are 4 levels for factor A and 5 levels for factor B,and two observations within each cell.The number of treatments in this experiment is 40.

In one-way analysis of variance,if all the sample means are equal,then the:

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.

A balanced experiment requires that the sample size for each treatment be equal.

Migraine Treatments The following data were generated from a 2 × 2 factorial experiment with 3 replicates,where factor A levels represent two different injection procedures of an anesthetic to the occipital nerve (located in the back of the neck),and factor B levels represent two different drugs,which physicians recommend to increase the effectiveness of the injections.Three migraine patients were randomly selected for each combination of injection and drug. ​ ​ -{Migraine Treatments Narrative} a.Create the ANOVA table. b.Test at the 5% significance level to determine if factors A and B interact.

GMAT Scores A recent college graduate is in the process of deciding which one of three graduate schools he should apply to.He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following GMAT scores.Assume that the data are normally distributed with equal variances for each school. ​ ​ -{GMAT Scores Narrative} Set up the ANOVA Table.Use α = 0.05 to determine the critical value.

The F-statistic in a one-way ANOVA represents the variation within the treatments divided by the variation between the treatments.

The F-test used in one-way ANOVA is an extension of the t-test of μ₁ − μ₂.

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

In one-way analysis of variance,within-treatments variation is measured by:

The F-test statistic in a one-way ANOVA is equal to:

SST measures the variation ____________________ treatments.