Exam 11: Analysis of Variance and Design of Experiments

While reviewing staffing plans for a new pilot plant,Colin Chenaux,VP of Operations at Clovis 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,"supervisor's style" is ___.

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

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

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

While reviewing staffing plans for a new pilot plant,Colin Chenaux,VP of Operations at Clovis 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.Analysis of Colin's data produced the following ANOVA table: Using $\alpha$ = .05,the appropriate decision for "supervisor's style" effects is ___.

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

Cindy Ho,VP of Finance at Discrete 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 ___.

In experimental design,a variable that the experimenter controls or modifies in the experiment is called a treatment variable.

Analysis of variance may be used to test the differences in the means of more than two independent populations.

Pate's Pharmacy,Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo,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.Sandra's experimental design is a ___.

Pate's Pharmacy,Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo,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 Sandra's experimental design "lighting" is ___.

The statistical methods of analysis of variance assume that the populations are normally distributed.

For the following ANOVA table,the observed F value is ___.

Cindy Ho,VP of Finance at Discrete 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 appropriate decision is ___.

Pate's Pharmacy,Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo,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 Sandra's data yielded the following ANOVA table: Using $\alpha$ = 0.05,the observed F value 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 ___.

While reviewing staffing plans for a new pilot plant,Colin Chenaux,VP of Operations at Clovis 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.Colin's null hypothesis for training methods is ___.

An experimental design contains only independent variables.

Test a factorial design using a two-way analysis of variance,noting the advantages and applications of such a design and accounting for possible interaction between two treatment variables.

Pate's Pharmacy,Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo,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 Sandra's experimental design "sales in the greeting card department" is ___.