The article "Organic Recycling for Soil Quality Conservation in a Sub-Tropical Plateau Region" (K. Chakrabarti, B. Sarkar, et al., J. Agronomy and Crop Science, 2000:137-142) reports an experiment in which soil specimens were treated with six different treatments, with two replicates per treatment, and the acid phosphate activity (in μmol p-nitrophenol released per gram of oven-dry soil per hour) was recorded. An ANOVA table for a one-way ANOVA is presented in the following box.

The treatment means were

a. Can you conclude that there are differences in acid phosphate activity among the treatments?
b. Use the Tukey-Kramer method to determine which pairs of treatment means, if any, are different at the 5% level.
c. Use the Bonferroni method to determine which pairs of treatment means, if any, are different at the 5% level.
d. Which method is more powerful in this case, the Tukey-Kramer method or the Bonferroni method?
e. The experimenter notices that treatment A had the smallest sample mean, while treatment B had the largest. Of the Fisher LSD method, the Bonferroni method, and the Tukey-Kramer method, which, if any, can be used to test the hypothesis that these two treatment means are equal?

One-way ANOVA Treatments A. B. C. D. E. F Source Treatment 5 1.18547 0.23709 46.64 0.000 Error Total DF MS 6 0.03050 1 1.21597 Treatment Mean 0.99.99 .405.63 1395 1.22