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03-09-2011 More 2 Factor ANOVA

# 03-09-2011 More 2 Factor ANOVA - Lecture 14 March 9 2011...

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•3/9/11 •2 Table 11.2 on page 444 of the text The first row contains the “between treatments” calculations. The second row contains the “within treatments” calculations. Here are calculations we made so far. We used a simple example and simple numbers. We did all the “between treatments” calculations. The concluding calculation was MSA . Calculating MSA (Heads Up! This will become Step (2) in Hypothesis Testing.) We will see this again as Slide No. 20. 2 2 2 1 1 2 2 3 3 n (y -y) +n (y -y) +n (y -y) SSA MSA = c-1 3-1 Treatment Sample Sample Means Variances Sizes 1 1 2 2 3 3 y =11.0 n =4 y =19.0 n =4 y =6.0 n =4 y=12.0 n=12 “Grand” Given: 2 2 2 4(11-12) +4(19-12) +4(6-12) 344 172 3-1 2
•3/9/11 •3 What’s next? Have you looked at Homework 9 yet? In this homework, you have to make insertions into two tables: – Table 1: sample means and sample variances for the different treatments – Table 2: SSA, SSE, MSA, and MSE What’s the importance of the sample variances?

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03-09-2011 More 2 Factor ANOVA - Lecture 14 March 9 2011...

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