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03-07-2011 2 Factor ANOVA - Lecture 13 March 7 2011 Exam 1...

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•3/7/11 •1 Lecture 13: March 7, 2011 Exam 1 will be returned during discussion this Friday. Homework 9: one-factor ANOVA – One problem: Number 11.2, page 449 – It is a hypothesis test. It has several parts. – Original closing: Wednesday, March 9 at 6:00 p.m. – Closing is changed to Thursday, March 10 at 9:00 p.m. This class: finish developing the tedious F test statistic Next class: Detailed ANOVA calculations by hand and the hypothesis test itself Automation using Minitab Readings for March 21: – Multiple Comparisons: pages 450-452 – ANOVA assumptions: 452-455 – Two-Factor ANOVA:pages 456-462 Revisit page 444 of the text This has all of the bits and pieces – every tedious-looking equation – needed to construct the F test statistic. Note: the test statistic has a numerator and a denominator – just like z and t. Last class we developed the numerator. This class we develop the denominator and put everything together. Now, here’s page 444 again. Table 11.2 on page 444 of the text The first row contains the calculations that we did so far. It shows how to get the variance for the treatment means: = SSA/(c-1) also called the Mean Square due to Treatments: MSA
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•3/7/11 •2 Treatment Means vs. Grand Mean We have three treatments and their corresponding observations. Compute the treatment means for all treatments. Also, compute the grand mean. • A 1 : 13, 14, 9, 8 • A 2 : 20, 23, 17, 16 • A 3 : 8, 4, 9, 3 Grand Mean: Given all of this information, let’s compute SSA and MSA. 1 y 11 2 y 19 3 y 6 y 12 We concluded last class with several questions about this “new” variance.
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