Exam 15: Analysis of Variance

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The data shown in the table below are collected from three samples.An investigator has strong grounds for suspecting that the parent population distributions may be markedly different from the normal. -What is the appropriate statistical technique that can be used to analyze such data?

In an ANOVA analysis with K number of groups,H number of blocks,and m number of observations per cell,the degree of freedom for SSB is given by (m - 1).

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An instructor in an economics class is considering three different texts.She is also considering three types of examinations-multiple choice,essays,and a mix of multiple choice and essays.During the year she teaches nine sections of the course and randomly assigns a text - examination type combination of each section.At the end of the course she obtained students' evaluations for each section.These ratings are shown in the accompanying table. -Set out the analysis of variance table.

In a two-way ANOVA with more than one observation in a cell,interaction occurs between groups and blocks due to normal distribution of differences between them.

What is the mean square value for Blocks?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A marketing manager is considering adopting one of three new marketing schemes.He chooses three sales people in each region,and has them try the new schemes.He then records the resulting sales as shown below. -Perform a two-way ANOVA with this data.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Independent random samples of 100 college sophomores,110 college juniors,and 95 college seniors were asked to rate,on a scale from 1 to 7,the importance attached to brand name when purchasing a computer.The value of Kruskal-Wallis statistic obtained was 0.75. -What null hypothesis can be tested using this information?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks. -What is the sum of squares for within groups?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below with missing values,identified by "A" through "G." ANOVA: Two-Factor Without Replication SUMMARY ANOVA -What value should replace "E"?

The sampling distribution of the Kruskal-Wallis test statistic is well approximated by the:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below with missing values,identified by "A" through "G." ANOVA: Two-Factor Without Replication SUMMARY ANOVA -What value should replace "D"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A randomized block design ANOVA has five treatments and three blocks.The analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA -What is the degrees of freedom value for Rows?

What is the total for the sum of squares?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sales manager is interested in evaluating the effectiveness of product literature.There are five different types of brochures currently in use.He asks four salespeople in each of the four regions of the country to evaluate the effectiveness of each of the brochures.The results of a two-way ANOVA are presented below. -Complete the ANOVA table.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four different brokerage houses were asked for stocks' earnings forecasts for the next year for five different corporations.The brokerage houses asked the analysts on staff who had experience with the corporations in question.Four analysts were surveyed at each brokerage house.Some descriptive statistics are listed below: -Complete the ANOVA table.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Independent random samples of 100 college sophomores,110 college juniors,and 95 college seniors were asked to rate,on a scale from 1 to 7,the importance attached to brand name when purchasing a computer.The value of Kruskal-Wallis statistic obtained was 0.75. -Carry out this test at the 10% level.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The data shown in the table below are collected from three samples.An investigator has strong grounds for suspecting that the parent population distributions may be markedly different from the normal. -Use statistical software to conduct the appropriate statistical technique to determine if there is enough evidence at the 5% significance level to infer that at least one of the population means differs from the others.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 10 observations was selected from each of four populations.A partial one-way ANOVA table is shown below: -Complete the missing entries in the ANOVA table (identified by asterisks).

What is the mean square value for Error?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A production manager monitors the output per hour of four workers over the course of four hours.The results are reproduced below. Assume that the populations from which the sample drawn are normally distributed. -Compare your answers to the F-test and Kruskal-Wallis test and explain how to interpret these results.