Exam 16: Appendix 16 A: Analysis of Variance

In the following model for the two-way factorial model, which term represents the interaction between the two factors? X_ijk = µ + _i + ß_j + (11eec989_9808_301a_b236_a76dcd5d2dec_TB10464_11_iß)_ij + _ijk

(Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below: -If the mean square for error is 0.168, compute the F ratio necessary to determine whether a difference exists between the three companies with regard to unit shipping costs. (Note: take advantage of any previous calculations useful for this question.) The F ratio is

Which of the following is NOT a necessary assumption for the application of the analysis of variance (ANOVA)?

When using the analysis of variance technique, the hypothesis of equality of population means will be rejected if

Which of the following is NOT a basic assumption of analysis of variance with a completely randomized design?

The value of the F statistic in analysis of variance is estimated using which of the following formulas (where MS is mean squares, SS is sum of squares, W is within, B is between, and T is total)?

Which of the following statements pertaining to Latin Square design is FALSE?

In a randomized block experimental design, which of the following statements is INCORRECT?

A grocery store manager decided to investigate whether slower moving items would sell quicker if these items were displayed at the end of the grocery store aisles or with a special florescent shelf tag displaying the price. The manager is interested in these nonprice reduction promotions because the store has only a small markup on these items. The manager decides to use end of aisle displays, shelf markers, and no special markers for four weeks each measuring unit sales at the end of each week. The following sales patterns were observed: (Use the above information to answer the following three questions.) -The calculated F ratio for this example demonstrates that at =0.05

Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical "market basket" is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores. -The within-group sum-of-squares in the above problem is calculated as

The effects of two or more treatment variables can be considered simultaneously in

(Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below: -The sum of squares for a company is 2.786. What is the mean square for a company?

To compare three means in an analysis of variance (ANOVA), what form(s) of variance must be estimated?