Based on the information in the completed Anova how do I get the x-mean and (x-m

Question

Based on the information in the completed Anova

how do I get the x-mean and (x-mean)^2 for the observation section and find the SST?

Group 1 x mean (x-meanl Group 2 xmean (x-mean) Group 3 x-mean (x-meanl Sum: 14 8 Mean: 10 Sum of Squares Within: 14 Total Sum of Squares: Sum of Squares Within: Sum of Squares Between: Observation x-mean 0.6667 0.444444 14 14 Degrees of Freedom (total df between groups (k-1) df within groups (total-between) Mean Square Between {55B/df between) Mean Square Within (SSW/df within) #DIV/0' #DIV/0! 29 Sum: 140 SST: 30 Mean: 9.33333333

Explanation / Answer

When finding the SST we need to first take each observation and subtract it from the overall mean.

The overall mean is the average of the means. You have M1 = 7, M2 = 8 and M3 = 65/5 = 13

Therefore overall mean = (7 + 8 + 13)/3 = 28/3 = 9.33

Or you can also add all the observations and divide by the total number of observations = 140/15 = 9.33

Once you get the value of x - mean , square the value and you get (x - mean)2. (0.667)2 = 0.444

The table below gives the complete calculation.

Your SST = 221.333

Hope this helps

x Mean x - mean (x - mean)2 10 9.3333 0.66667 0.4444 3 9.3333 -6.3333 40.1111 7 9.3333 -2.3333 5.4444 2 9.3333 -7.3333 53.7777 13 9.3333 3.66667 13.4445 10 9.3333 0.66667 0.4444 8 9.3333 -1.3333 1.7778 7 9.3333 -2.3333 5.4444 5 9.3333 -4.3333 18.7777 10 9.3333 0.66667 0.4444 10 9.3333 0.66667 0.4444 13 9.3333 3.66667 13.4445 14 9.3333 4.66667 21.7778 13 9.3333 3.66667 13.4445 15 9.3333 5.66667 32.1111 Total 140 221.3333 Mean 9.3333

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