Exam 15: Analysis of Variance

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 -Determine the sum of squares value for Treatments.

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: -How many experimental units were in this study?

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 "E"?

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 "A"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks. -Compute the F- ratio

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results: -Set up the two-way ANOVA table.

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: -Is there sufficient evidence to reject the null hypothesis that there is no difference between the stocks?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table: -Compute mean squares for between groups.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A hotel chain has identically sized resorts in five locations.The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the five locations. Analysis of Variance -What is the value of the total variation?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a two-way ANOVA,there are 5 groups,3 blocks,and two observations per cell. -The number of degrees of freedom for between blocks is:

If we simultaneously examine the effects of two factors on the dependent variable,along with the effects of interactions between the different levels of those factors,we are performing a two-way ANOVA.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Random samples of eight freshmen,eight sophomores,and eight juniors taking a business statistics class were drawn.The accompanying table shows scores on the final examination. -Consider a problem with three subgroups with the sum of ranks in each of the subgroups equal to 32,101.5,and 76.5,with subgroup sizes equal to 7,7,and 6,respectively.Complete the Kruskal-Wallis test and test the null hypothesis of equal subgroup ranks at the 1% level.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 20 orders. -Carry out the Kruskal-Wallis test for this data using statistical software and write your conclusion?

In a one-way ANOVA,all populations' variances are assumed to be equal.

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. -Is there sufficient evidence to reject the null hypothesis that there is no difference between the regions of the country? Use α = 0.05.

In a two-way analysis of variance,the mean squares are obtained by dividing the sums of squares by their associated number of observations.

A randomized block experiment having five treatments and six blocks produced the following values: SST = 1446,SSG = 287 and SSE = 180.The value of SSB is calculated to be:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table with missing values identified by asterisks. -What are the appropriate null and alternative hypotheses?

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: -State the null and alternative hypotheses for this situation

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a two-way ANOVA,there are 5 groups,3 blocks,and two observations per cell. -The number of degrees of freedom for error is: