BME423H4

BME423H4 - Homework #4 Key 1. BME 423 5 Null hypothesis:...

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Homework #4 Key BME 42 3 5 1. Null hypothesis: There is no difference in quite sleep duration between the ages of 1 week and 1 month. QS @1 week QS @1 month d Signed rank of difference 115 122 7 9.5 121 147 26 19 230 248 18 17 68 70 2 1 166 176 10 13 209 203 -6 -7 42 48 6 7 97 91 -6 -7 173 180 7 9.5 140 136 -4 -4 155 164 9 12 198 212 14 16 31 54 23 18 85 96 11 14.5 129 140 11 14.5 120 117 -3 -2 126 130 4 4 127 123 -4 -4 215 215 0 140 148 8 11 W=142 Assume the data is normally distributed, we use the paired t-test: () 19 093 . 2 246 . 3 093 . 2 19 19 1 20 246 . 3 048 . 2 20 161 . 9 161 . 9 65 . 6 05 . 0 05 . 0 t t t s d t n s s s d d d d d = > = = = = = = = = = = = υ Reject null hypothesis. There is a significant difference in quiet sleep duration between the ages of 1 week and 1 month (p<0.05).
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2 Assume the data is not normally distributed, we use the Wilcoxon signed-rank test: 048 . 0 05 . 0 91 142 98 05 . 0 19 142 W W W p n W = > = = = = = Reject null hypothesis. There is a significant difference in quiet sleep duration between the ages of 1 week and 1 month (p<0.048).
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3 2. Null hypothesis: There is no dependence of bronchial reactivity to sulfur dioxide on lung function. Assume the data is not normally distributed, we use the Kruskal Wallis test: Group A rank Group B rank Group C rank 21.8 15 8.0 8 9.2 11 43.1 19 7.7 7 2.2 1 33.0 18 11.9 13 3.5 3 24.7 16 4.5 4 6.4 6 14.8 14 3.1 2 8.5 9 9.0 10 4.7 5 28.9 17 10.3 12 () ( ) ( ) 2 991 . 5 4989 . 9 991 . 5 2 2 1 3 1 4989 . 9 6667 . 31 7992 . 300 12 / 1 7992 . 300 10 6 5 10 6667 . 8 9 10 4 . 16 5 10 2 1 19 19 6 30 5 6667 . 8 78 9 4 . 16 82 5 05 . 0
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This note was uploaded on 03/02/2008 for the course BME 423 taught by Professor D'argenio during the Fall '06 term at USC.

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BME423H4 - Homework #4 Key 1. BME 423 5 Null hypothesis:...

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