Briefly describe the experimental design you would choose for each of the follow

Question

Briefly describe the experimental design you would choose for each of the following situations.

(a) We wish to study the effects of three factors on corn yields: nitrogen added, planting depth, and planting date. The nitrogen and depth fac- tors have two levels, and the date factor has three levels. There are 24 plots available: twelve are in St. Paul, MN, and twelve are in Rose- mount, MN.

(b) You manage a french fry booth at the state fair and wish to compare four brands of french fry cutters for amount of potato wasted. You sell a lot of fries and keep four fry cutters and their operators going constantly. Each day you get a new load of potatoes, and you expect some day to day variation in waste due to size and shape of that day’s load. Different operators may also produce different amounts of waste. A full day’s usage is needed to get a reasonable measure of waste, and you would like to finish in under a week.

(c) A Health Maintenance Organization wishes to test the effect of sub- stituting generic drugs for name brand drugs on patient satisfaction. Satisfaction will be measured by questionnaire after the study. They decide to start small, using only one drug (a decongestant for which they have an analogous generic) and twenty patients at each of their five clinics. The patients at the different clinics are from rather differ- ent socioeconomic backgrounds, so some clinic to clinic variation is expected. Drugs may be assigned on an individual basis.

Explanation / Answer

(a) We wish to study the effects of three factors on corn yields: nitrogen added, planting depth, and planting date. The nitrogen and depth fac- tors have two levels, and the date factor has three levels. There are 24 plots available: twelve are in St. Paul, MN, and twelve are in Rose- mount, MN.

ans > we have 3 factors and one numeric variable corn yields , so this is clearly a case of 3 way anova to measure the the effect of 3 factors on the corn yields

(b) You manage a french fry booth at the state fair and wish to compare four brands of french fry cutters for amount of potato wasted. You sell a lot of fries and keep four fry cutters and their operators going constantly. Each day you get a new load of potatoes, and you expect some day to day variation in waste due to size and shape of that day’s load. Different operators may also produce different amounts of waste. A full day’s usage is needed to get a reasonable measure of waste, and you would like to finish in under a week.

ans> again , we have brands with 4 levels , then w ehave 4 fry cutters , size and shape and we want to measure the effect of these on the wastage , so this would again be a case of 4 way anova , with potato wastage as the dependent variable

(c) A Health Maintenance Organization wishes to test the effect of sub- stituting generic drugs for name brand drugs on patient satisfaction. Satisfaction will be measured by questionnaire after the study. They decide to start small, using only one drug (a decongestant for which they have an analogous generic) and twenty patients at each of their five clinics. The patients at the different clinics are from rather differ- ent socioeconomic backgrounds, so some clinic to clinic variation is expected. Drugs may be assigned on an individual basis.

ans > clininc to clinic variation is present , so this would be a factor .drug type would be a factor i.e whether generic or brabded and we have to measure the effect. Hence a 2 way anova would suffice here

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