# X x n n l n 1 n x i k k 16 one way anova one way grand

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Unformatted text preview: ( 67.11) + 8 ( 53.50 ) x= 7 +9 +8 1562 x= 24 x = 65.08 17 One-Way ANOVA One-Way Between Group Variation, SS(B) The between group variation is the variation between each sample mean and the grand mean Each individual variation is weighted by the sample size SS ( B ) = ∑ n ( x − x ) k i =1 i 2 i SS ( B ) = n ( x − x ) + n ( x − x ) + L + n ( x − x ) 1 2 1 2 2 2 k 2 k 18 One-Way ANOVA One-Way The Between Group Variation for our example is The SS(B)=1902 SS(B)=1902 SS ( B ) = 7 ( 75.71 − 65.08 ) + 9 ( 67.11 − 65.08 ) + 8 ( 53.50 − 65.08 ) 2 2 2 SS ( B ) = 1900.8376 ≈ 1902 I know that doesn’t round to be 1902, but if you know don’t round the intermediate steps, then it does. My goal here is to show an ANOVA table from SPSS and it returns 1902. SPSS 19 One-Way ANOVA One-Way Within Group Variation, SS(W) The Within Group Variation is the weighted total of The the individual variations the The weighting is done with the degrees of freedom The df for each sample is one less than the sample The size for that sample. size 20 One-Way ANOVA One-Way Within Group Variation SS ( W ) = ∑ df s k i i =1 2 i SS ( W...
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