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Special Topics 504: Practical Methods in Analyzing Animal Science Experiments

Special Topics 504: Practical Methods in Analyzing Animal Science Experiments. Multiple Comparisons of Means Rejection of H o does not imply that all of k means are different from one another. H o : μ 2 1 = μ 2 2 = μ 2 3 = μ 2 4 = μ 2 5 H a : μ 2 1 ≠ μ 2 2 ≠ …

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Special Topics 504: Practical Methods in Analyzing Animal Science Experiments

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  1. Special Topics 504: Practical Methods in Analyzing Animal Science Experiments Multiple Comparisons of Means Rejection of Ho does not imply that all of k means are different from one another. Ho: μ21= μ22 = μ23= μ24 = μ25 Ha: μ21≠ μ22≠ … The problem is that it is generally invalid to employ multiple t-tests to examine all possible pairs of means. … But there are statistical test to do so referred to as “multiple comparison tests”.

  2. Special Topics 504: Practical Methods in Analyzing Animal Science Experiments Multiple Comparisons of Means Nobody agrees on the best test to use. However there are two test that are most often used: Tukey’s test Student-Newman-Keuls test (SNK) There is also a third which you might see – a Duncan’s test (in older literature) or a Duncan’s multiple-range test.

  3. Special Topics 504: Practical Methods in Analyzing Animal Science Experiments Multiple Comparisons of Means Five different levels of probiotic treatments are tested on 25 g trout in a 4 week feeding trial. Ho: μ21 = μ22 = μ23 = μ24 = μ25 Ha: Mean growth rates are not the same in all five diets. Trt1 Trt2 Trt3 Trt4 Trt5 28.2 39.6 46.3 41.0 56.3 33.2 40.8 42.1 44.1 54.1 36.4 37.9 43.5 46.4 59.4 34.6 37.1 48.8 40.2 62.7 29.1 43.6 43.7 38.6 60.0 31.0 42.4 40.1 36.3 57.3

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