SOC222H5 Lecture Notes - Lecture 6: F-Distribution, Type I And Type Ii Errors, Null Hypothesis
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The null and research hypotheses also closely resemble those of a t-test, except that they take account of the comparison of more than two groups. H0: 1= 2= = k where k = the number of response category groups of the independent variable. H1: at least one of the means is different from the others: notice that the one-way anova h1 is always specified in non-directional terms, whereas the t- test h1 can be directional or non-directional. Comparing variation/variance between groups to variation/variance within groups. To be able to compare the amount of variation between groups to the amount of variation within groups, we also need to find out the total amount of variation that exists within and between/across all the groups. In other words, we are looking at three sums of squares values: the sum of squares between groups (ssb), the sum of squares within groups (ssw), an, the total sum of squares (sst), total sum of squares (sst)
