Exam 15: Analysis of Variance

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

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Five stock analysts were asked to predict earnings for four different stocks for the next year.The following statistics summarize their responses: -Complete the ANOVA table.

The Kruskal-Wallis test for the difference in population means is based on the ranks of the sample observations.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below: ANOVA: Two-Factor Without Replication SUMMARY ANOVA -What is the average over all rows and columns?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY ANOVA -The mean square within groups is equal to:

In a two-way analysis of variance with several observations per cell,the total sum of squares is calculated using the formula SSG + SSB + SSI / SSE.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A firm is considering adopting an employee screening exam and has three to choose from.The exams are administered to 10 different people,and their responses are recorded. -Complete the ANOVA table.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A consumer group wanted to examine how long different life bulbs last.They selected three different light bulbs (60 watt,75 watt and 100 watt)from four different manufacturers.They generated the following statistics from the data. -What is the value of "F"?

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 (H - 1).

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY ANOVA -The value of the test statistic F is equal to:

The degrees of freedom for the interaction term in a two-way ANOVA,with k groups,H blocks and L number of observations per cell,are:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A consumer group wanted to examine how long different life bulbs last.They selected three different light bulbs (60 watt,75 watt and 100 watt)from four different manufacturers.They generated the following statistics from the data. -What is the value of "H"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Independent random samples of seven assistant professors,five associate professors,and six full professors were asked to estimate the amount of time outside the classroom spent on teaching responsibilities in the last week.Results,in hours,are shown in the accompanying table. -Without assuming normal population distributions,test the null hypothesis that the population mean times spent outside the classroom on teaching responsibilities are the same for assistant,associate,and full professors.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY ANOVA -The p-value for the F-test statistic is approximately equal to ________.(Hint: Use Excel)

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: -Is there sufficient evidence to reject the null hypothesis that there is no difference between the brokerage houses? Use α = 0.05.

In a two-way analysis of variance with several observations per cell,the decomposition of the total sum of squares of the sample observations about their overall mean is the sum of four components.

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 SSG is given by K.

The value of the test statistic F at Blocks is:

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. -Apply 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: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses. -What is the value of "C"?