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# Of the average pulse rates at kmn and ks the data are

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of the average pulse rates at KMN and KS: The data are compatible with a geographic trend. (b) 9 * 8 / 2 = 36 comparisons. (c) The honest significant difference from Tukey’s method is d HSD = 5 . 21 * 567 * 1 / 15 = 1 . 013. (using k = 9 groups and df Error 120 in the table). The observed difference between KW1 and KW2 is 0 . 18, which is smaller than d HSD . Therefore, no: KW1 and KW2 would not be declared to have significantly different means. (d) = α * = . 01 / 36 then α * / 2 . 00014 on each side, for 2-sided pair-wise comparisons. (e) Fisher’s least significant difference is d LSD = 2 . 62 * 567 * 2 / 15 = . 72, which is smaller than d HSD = 1 . 013. So any pair of locations whose average difference is between . 72 and 1 . 01 would be de- clared significant based on Fisher’s LSD, but non- significant based on Tukey’s HSD. KMN - KW1 = . 92 is such a pair. (f) Bonferroni is the most appropriate in this case, because it has the lowest type I error rate. There will be few significant comparisons with this method (which is okay with the follow-up study), but of these, we should be very confident that they are real (which is highly desirable for the follow-up study). 1
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