# ONE FACTOR ANOVA

Feb 3rd, 2012
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This solution gives the step by step method for ANOVA. Formula for the calculation and Interpretations of the results are also included. Excel workings are also provided.

Word Count: 265
Showing Page: 1/3
1. Answera.A, y1B, y2C, y3D, y462636856606766626371716059646164308265205239Group MeansHere n1 = 5, n2 = 4, n3 = 3, n4 = 4Mean of A, = 61.6Mean of B, = 66.25Mean of C, = 68.33Mean of D, = 59.75Grand Mean, = 63.56Sum of squares (Between groups), , where c is the number of groups.= = 5(61.6 - 63.56)2 + 4(66.25 - 63.56)2 + 3(68.33 - 63.56)2 + 4(59.75 - 63.56)2= 174.4755Sum of squares (Within groups), A, y1(y1 - y?1)^2B, y2(y2 - y?2)^2C, y3(y3 - y?3)^2D, y4(y4 - y?4)^2620.166310.5625680.10895614.0625602.56670.5625665.4289625.0625631.967122.5625717.1289600.0625596.76645.0625611.5625645.7630817.226538.7520512.666723920.75Therefore, SSE = 17.2 + 38.75 + 12.6667 + 20.75 = 89.3667Sum of squares (Total), SST = SSR + SSE = 174.4755 + 89.3667

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