{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

This preview shows pages 1–3. Sign up to view the full content.

Extra Exercises: Chapters 1–3 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. 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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Section 2.5 5. Below is the sampling distribution of the test statistic for Fisher’s test for a comparative study. x P ( X = x ) P ( X x ) P ( X x ) 0 . 405 0 . 0003 0 . 0003 1 . 0000 0 . 340 0 . 0019 0 . 0022 0 . 9997 0 . 275 0 . 0104 0 . 0126 0 . 9978 0 . 210 0 . 0378 0 . 0504 0 . 9874 0 . 145 0 . 0973 0 . 1477 0 . 9496 0 . 080 0 . 1782 0 . 3259 0 . 8523 0 . 015 0 . 2335 0 . 5594 0 . 6741 0 . 050 0 . 2172 0 . 7766 0 . 4406 0 . 115 0 . 1410 0 . 9176 0 . 2234 0 . 180 0 . 0620 0 . 9796 0 . 0824 0 . 245 0 . 0174 0 . 9970 0 . 0204 0 . 310 0 . 0028 0 . 9998 0 . 0030 0 . 375 0 . 0002 1 . 0000 0 . 0002
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

extraexer1b - Extra Exercises Chapters 13 Statistics 301...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online