MATH 10051 Lecture Notes - Lecture 4: Analysis Of Variance, Dfs Furniture, Weighted Arithmetic Mean
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26 Apr 2019
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The within group variation is the weighted total of the individual variations. The weighting is done with the degrees of freedom. The df for each sample is one less than the sample size for that sample. The within group variation for our example is 3386. After filling in the sum of squares, we have . A degree of freedom occurs for each value that can vary before the rest of the values are predetermined. For example, if you had six numbers that had an average of 40, you would know that the total had to be 240. Five of the six numbers could be anything, but once the first five are known, the last one is fixed so the sum is 240. The df is often one less than the number of values. The between group df is one less than the number of groups. We have three groups, so df(b) = 2.
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