Exam 11: A Nalysis of Variance and Design of Experiments

BigShots,Inc.is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn,Sales Director,feels that the style (color scheme,graphics,fonts,etc.)of a Web site may affect its sales. He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table. Using $\alpha$ = 0.05,the appropriate decision is _____________.

For the following ANOVA table,the critical value of the studentized range distribution using $\alpha$ = 0.05 is ______

Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations.The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website,a travel magazine and a local billboard.Customers making reservations will be asked if they saw the advertisement.In this experiment,the independent variable has how many levels?

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO,Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital,as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo,a bright abstract,and a muted beach scene)and randomly assigns six hospital rooms to each painting.Kathleen's null hypothesis is _____________.

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish,roots and tubers,or nuts and oilseeds)and by level of protein intake (low,defined as less than 0.56 grams per kilogram of weight,or high).The researcher wants to test the relative efficacy of each protein source,controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose,she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then,the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).In this experiment,the weight gain is ______.

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

Data from a randomized block design are shown in the following table. The Total Sum of Squares (SST)is ________.

At a local community college,the head of the math department is interested in determining the effects of two factors on the final exam performance.The two factors are: (1)whether the student completed all the suggested exercises (yes or no),and (2)how many cups of coffee the student took the morning of the exam (0,1,or 2).Analysis of the data is summarized in the following ANOVA table: Using $\alpha$ = .05,the conclusions are: _____________.

BigShots,Inc.is a specialty e-tailer that operates 87 catalog Web sites on the Internet. Kevin Conn,Sales Director,feels that the style (color scheme,graphics,fonts,etc.)of a Web site may affect its sales. He chooses three levels of design style (neon,old world and sophisticated)and randomly assigns six catalog Web sites to each design style. Analysis of Kevin's data yielded the following ANOVA table. Using $\alpha$ = 0.05,the observed F value is _____________.

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

In a randomized complete block design the conclusion might be that blocking is not necessary.

The following graph indicates a _______________.

For the following ANOVA table,the HSD value,assume equal sample sizes and using $\alpha$ = 0.01 is ______

The Tukey-Kramer procedure is based on construction of confidence intervals for each pair of treatment means at a time.

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish,roots and tubers,or nuts and oilseeds)and by level of protein intake (low,defined as less than 0.56 grams per kilogram of weight,or high).The researcher wants to test the relative efficacy of each protein source,controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose,she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then,the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).In this experiment,the source of protein intake is ______.

For the following ANOVA table,the observed F value 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 experimental design is _____________.

As director of the employee wellness and productivity program in your company,you are interested in comparing the effects of strength training,aerobic training,and yoga on decreasing rates of injury and absenteeism.The company has 9 divisions with roughly the same number of employees,and you randomly assign 3 divisions to participate in strength training,3 to aerobic training,and 3 to yoga.Analysis of the data yielded the following ANOVA table. Using $\alpha$ = 0.05,the appropriate decision is ______.

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

Experiments designed so that two or more treatments (independent variables)are explored simultaneously are called ______.