Bayes Least Significant Difference: A Review and Comparison1
- C. Wayne Smith2
The Bayesian approach to mean separation overcomes the objections to previous least significant difference (LSD) procedures by having a direct dependence upon the calculated F value. This procedure has the power of a comparisonwise approach when F is moderate to large in size and is conservative at F values less than about 3.0. The Bayes LSD has the same form as the Fisher LSD, i.e., LSD = sdt, where the Bayes t is not to be confused with Student's t. In the example cited, the Bayes LSD was found to be a more powerful test than the Fisher LSD, Tukey's honest significant difference (HSD), or the Duncan new multiple range (DMR) when F = 45.36, moderate in size and comparative to the Fisher LSD and the DMR when F = 4.43, and conservative and comparable to Tukey's HSD when F = 1.4. The use of BLSD rather than LSD to designate the Bayes Least Significant Difference procedure is suggested.Please view the pdf by using the Full Text (PDF) link under 'View' to the left.
Copyright © . .