03-07-2011 2 Factor ANOVA

03-07-2011 2 Factor ANOVA - 3/7/11 Lecture 13: March 7,...

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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 2 : 20, 23, 17, 16 3 : 8, 4, 9, 3 • Grand Mean: • Given all of this information, let’s compute SSA and MSA. 1 y1 1 2 9 3 y6 2 We concluded last class with several questions about this “new” variance.
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This note was uploaded on 10/13/2011 for the course FINOPMGT 250 taught by Professor Kouzehkanani during the Spring '08 term at UMass (Amherst).

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03-07-2011 2 Factor ANOVA - 3/7/11 Lecture 13: March 7,...

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