STAT368 Lecture Notes - Analysis Of Variance, Null Hypothesis, European Credit Transfer And Accumulation System
5 Apr 2014
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The theoretical anova table for a rcbd is. The expected mean squares can be derived as in as- signment 1, and are. For the hardness data the r output is: Df sum sq mean sq f value pr(>f) treatments 3 0. 38500 0. 12833 14. 438 0. 0008713 *** blocks. Thus at any level hypothesis of no treatment e ects ( 0: It also appears that the blocks have a sig- ni cant e ect. A caution here though - the random- ization alone ensures that the f-test for treatments is approximately valid even if the errors are not very nor- mal. Because of the randomization restriction, the same is not true for testing the signi cance of blocks by looking at. 05 for blocks should be used only as a guide, unless one is sure of the normality. Suppose that we erroneously analyzed these data as a.
