Size 20 one way anova one way withingroupvariation ss

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Unformatted text preview: ) = df s + df s + L + df s 2 11 2 2 2 k 2 k 21 One-Way ANOVA One-Way The within group variation for our example is 3386 SS ( W ) = 6 ( 310.90 ) + 8 ( 119.86 ) + 7 ( 80.29 ) SS ( W ) = 3386.31 ≈ 3386 22 One-Way ANOVA One-Way After filling in the sum of squares, we have … Source SS Between 1902 Within 3386 Total df MS F p 5288 23 One-Way ANOVA One-Way Degrees of Freedom, df A degree of freedom occurs for each value that can degree vary before the rest of the values are predetermined vary For example, if you had six numbers that had an For 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 would be 6-1=5 so The df is often one less than the number of values 24 One-Way ANOVA One-Way The between group df is one less than the The number of groups number The within group df is the sum of the individual The df’s of each group df’s We have three groups, so df(B) = 2 The sample sizes are 7, 9, and 8 df(W) = 6 + 8 + 7 = 21 The total df is one less than the sample size df(Total) = 24 – 1 = 23 25 One-Way ANOVA One-Way Filling in the degrees of freedom gives this … Source SS df MS Between 1902 2 Within 3386 21 Total 5288 F p 23 26 One-Way ANOVA One-Way Variances The variances are also called the Mean of the The Squares and abbreviated by MS, often with an accompanying variable MS(B) or MS(W) accompanying They are an average squared devi...
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