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Essay on ANOVA/F-test
F Ratio test this compares the variance the multiply of the scores of the two groups or, of one group to the rest. Sternly, this test should always be done before the Analysis of Variance or t test. In the case below, the standard deviation in Group 2 is identified as diverse from that of the other two groups combined.
This means that the analysis of variance test should only be used to compare groups 1 and 3 with F=4.74, df 1 & 9 the difference would not be important, to compare group 2 and 3 use an ordinal test. If there are just two groups and the F test indicates that they have different standard deviations, then the average scores can be compared if the data is rank ordered.......
