Exam 11: Analysis of Variance and Design of Experiments

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%)by randomly assigning five customers to each sales discount rate.Cindy's experimental design is a ___.

RightAid Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Cathy Eng, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department.She chooses three levels of lighting (soft, medium, and bright)and randomly assigns six pharmacies to each lighting level.In Cathy's experimental design "sales in the greeting card department" is ___.

Data from a completely randomized design are shown in the following table: For a one-way ANOVA using $\alpha$ = 0.05, the appropriate decision is ___.

Data from a randomized block design are shown in the following table: Using $\alpha$ = 0.05, the critical F value for the treatments null hypothesis is ___.

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%)by randomly assigning five customers to each sales discount rate.An analysis of Cindy's data produced the following ANOVA table: Using $\alpha$ = 0.01, the observed F value is ___.

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%).First, she classified DCI's credit customers into three categories by total assets (small, medium, and large).Then, she randomly assigned four customers from each category to a sales discount rate.In Cindy's experiment "sales discount rate" is ___.

Data from a randomized block design are shown in the following table: The Treatment Sum of Squares (SSC)is ___.

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Larson's data yielded the following ANOVA table: Using $\alpha$ = 0.05, the appropriate decision is ___.

For the following ANOVA table, the MS Treatment value is ___.

RightAid Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Cathy Eng, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department.She chooses three levels of lighting (soft, medium, and bright)and randomly assigns six pharmacies to each lighting level.In Cathy's experimental design "lighting" is ___.

The statistical methods of analysis of variance assume equal sample means.

While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators.The treatment levels were: (1)authoritarian, and participatory for supervisor's style, and (2)technical manuals, training films, and multimedia for training method.Three qualified applicants were randomly selected and assigned to each of the six cells.In Colin's experiment, "training method" is ___.

RightAid Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Cathy Eng, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department.She chooses three levels of lighting (soft, medium, and bright)and randomly assigns six pharmacies to each lighting level.Analysis of Cathy's data yielded the following ANOVA table: Using $\alpha$ = 0.05, the critical F value is ___.

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%).First, she classified DCI's credit customers into three categories by total assets (small, medium, and large).Then, she randomly assigned four customers from each category to a sales discount rate.In Cindy's experiment "average collection period" is ___.

For the following ANOVA table, the MS Error value is ___.

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.Larson's null hypothesis is ___.

Data from a randomized block design are shown in the following table: The Blocks Sum of Squares (SSR)is ___.

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.In Larson's experiment "sales at a website" is ___.

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%).First, she classified DCI's credit customers into three categories by total assets (small, medium, and large).Then, she randomly assigned four customers from each category to a sales discount rate.An analysis of Cindy's data yielded the following ANOVA table: Using $\alpha$ = 0.05, the appropriate decision for block effects is ___.

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%).Cindy wants to control for the size of the customer but not to test for it as the main variable of interest so she classified DCI's credit customers into three categories by total assets (small, medium, and large).Then, she randomly assigned four customers from each category to a sales discount rate.Cindy's experimental design is a ___.