1. In a nutrition experiment, an investigator studied the effects of two different rations on the growth of young rats. Twenty rats from the same inbred strain were divided at random into two groups of ten and used for the experiment. A different ration was fed to each group and, after a specified length of time, the increase in growth of each rat was measured (in grams). Use =.05.
RATION A
RATION B
10 6
13 9
8 6
15 10
12 9
14 8
11 5
13 10
9 6
17 8
For the data set above:
1. Perform the pooled t test
2. The Welch’s t test
3. Wilcoxon Rank Sum test
4. Bootstrap t test using Welch’s t statistics
Discuss your results.
2. We are interested in conducting tests for 100 genes for two sample t tests. The following are our unadjusted p-values. Use Bonferroni method, FDR, Bonferroni-Holm, Step-up Hochberg, Hommel and find the list of genes in each case that you declare significant, controlling for multiplicity and for the unadjusted p-values.
Gene1-10
Gene11-20
Gene21-30
Gene31-40
Gene41-50
Gene51-60
Gene61-70
Gene71-80
Gene81-90
Gene91-100
0.1352
0.4054
0.9605
0.3055
0.9413
0.0001
0.2873
0.0063
0.0015
0.4540
0.2662
0.9216
0.0085
0.4854
0.1328
0.6122
0.7550
0.0850
0.0005
0.9365
0.0010
0.9199
0.1957
0.0003
0.7026
0.6983
0.1643
0.0045
0.4640
0.0007
0.0159
0.9722
0.0305
0.0117
0.4884
0.1047
0.9351
0.4492
0.0005
0.2230
0.2680
0.4378
0.7118
0.0090
0.2719
0.0049
0.9583
0.6275
0.3892
0.9458
0.6927
0.7129
0.5807
0.5474
0.0004
0.2277
0.4881
0.7835
0.0009
0.1750
0.9480
0.0799
0.0432
0.7160
0.3428
0.7579
0.3393
0.6708
0.0007
0.0002
0.7694
0.7038
0.5689
0.0154
0.0332
0.7097
0.2861
0.0046
0.1357
0.7214
0.7761
0.7419
0.0277
0.4675
0.0219
0.3974
0.9451
0.7148
0.9055
0.0003
0.7223
0.7438
0.3308
0.0059
0.1340
0.4247
0.2700
0.5124
0.6322
0.0160
