Question

Briefly describe the treatment structure you would choose for each of the following situations. Describe the factors, the number of levels for each, whether they are fixed or random, and which are crossed.

The disposable diaper business is very competitive, with all manufacturers trying to get a leg up, as it were. You are a consumer testing agency comparing the absorbency of two brands of "newborn" size diapers. The test is to put a diaper on a female doll and pump body temperature water through the doll into the diaper at a fixed rate until the diaper leaks. The response is the amount of liquid pumped before leakage. We are primarily interested in brand differences, but we are also interested in variability between individual diapers and between batches of diapers (which we can only measure as between boxes of diapers, since we do not know the actual manufacturing time or place of the diapers). We can afford to buy 32 boxes of diapers and test 64 diapers.

Answer 1

a) Repeated measure ANOVA techniques you can use along with the Hypothesis Testing, and your Null Hypothesis will be that there is no effect between the rat pups you have and the new available as claimed by the salesman.

b) In this part you can use ANOVA for measuring the variance produced by all three factors and Null Hypothesis will be that there is no effect of all these factors, if we get the pvalue less than 0.05 then our Alternate hypothesis will be that the factors has some effect.

c) In this type of problem where we have more than 3 Nos of Independent Variable we have to use Linear Regression to check our hypothesis that whether there is significant variance exist between different variables or not.

d) Okay you can use paired sample t-test in this question since you have only two brands to test and comparing the means over the hypothesis will lead you to the best solution.

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