extraexer1b - Extra Exercises: Chapters 13 Statistics 301...

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Unformatted text preview: Extra Exercises: Chapters 13 Statistics 301 Professor Wardrop Section 2.3 1. Consider a balanced study with eight subjects, identified as A, B, C, D, E, G, H, and J. In the actual study, A, B, C and D are assigned to the first treatment, and There are exactly four successes, and they are obtained by A, B, C, and H. This information is needed for parts (a)(c) be- low. (a) Compute the observed value of the test statistic. (b) Assume that the Skeptic is correct. Deter- mine the observed value of the test statistic for the assignment that places A, D, E, and G on the first treatment, and the remaining subjects on the second treatment. (c) We have obtained the sampling distribu- tion of the test statistic on the assumption that the Skeptic is correct. It also is possi- ble to obtain a sampling distribution of the test statistic if the Skeptic is wrong pro- vided we specify exactly how the Skep- tic is in error. Assume that the Skeptic is incorrect about subjects C, D, H, and J, but correct about subjects A, B, E, and G. This means that for subjects C, D, H, and J, his/her/its response will change if the treatment changes. For the assignment that puts A, D, E, and H on the first treatment, and the other sub- jects on the second treatment, determine the response for each of the eight subjects. 2. Consider a unbalanced study with nine subjects, identified as A, B, C, D, E, G, H, J, and K. In the actual study, A, B, C, D, and E are assigned to the first treatment, and There are exactly five successes, and they are obtained by B, C, E, H, and J. This information is needed for parts (a)(c) be- low. (a) Compute the observed value of the test statistic. (b) Assume that the Skeptic is correct. Deter- mine the observed value of the test statis- tic for the assignment that places A, C, D, G, and K on the first treatment, and the re- maining subjects on the second treatment. (c) Assume that the Skeptic is incorrect about subjects C, D, E, G, H, J, and K, but cor- rect about subjects A, and B. For the assignment that puts A, E, G, H, and J on the first treatment, and the other subjects on the second treatment, deter- mine the response for each of the nine sub- jects. 3. An unbalanced yields the data below. Treatment S F Total 1 a b 10 2 c d 5 Total 10 5 15 On the assumption the Skeptic is correct, list all possible values of the test statistic. 4. A comparative study yields the following data. Treatment S F Total 1 a b 5 2 c d 4 Total 6 3 9 On the assumption the Skeptic is correct, deter- mine all possible values of the test statistic. 1 Section 2.5 5. Below is the sampling distribution of the test statistic for Fishers test for a comparative study....
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This note was uploaded on 10/23/2009 for the course STAT STATS 301 taught by Professor Professorwardrop during the Fall '08 term at Wisconsin.

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extraexer1b - Extra Exercises: Chapters 13 Statistics 301...

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