# No so there is some variation in the data this is

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Unformatted text preview: total variation Denoted SS(Total) for the total Sum of Denoted Squares (variation) Squares Sum of Squares is another name for variation 11 One-Way ANOVA One-Way Are all of the sample means identical? No, so there is some variation between the No, groups groups This is called the between group variation Sometimes called the variation due to the Sometimes factor factor Denoted SS(B) for Sum of Squares (variation) Denoted between the groups between 12 One-Way ANOVA One-Way Are each of the values within each group Are identical? identical? No, there is some variation within the groups This is called the within group variation Sometimes called the error variation Denoted SS(W) for Sum of Squares Denoted (variation) within the groups (variation) 13 One-Way ANOVA One-Way There are two sources of variation the variation between the groups, SS(B), or the the variation due to the factor the the variation within the groups, SS(W), or the the variation that can’t be explained by the factor so it’s called the error variation so 14 One-Way ANOVA One-Way Here is the basic one­way ANOVA table Source SS df MS F p Between Within Total 15 One-Way ANOVA One-Way Grand Mean k The grand mean is the average of all the The values when the factor is ignored values It is a weighted average of the individual It sample means sample x= 1 2 1 2 2 i =1 k k i i ∑n i =1 n x + n x +L + n x x= n + n +L + n 1 ∑n x i k k 16 One-Way ANOVA One-Way Grand Mean for our example is 65.08 7 ( 75.71) + 9...
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