03-21-2011 Tukey Test

03-21-2011 Tukey Test - 3/21/2011 Lecture 15: March 21,...

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•3/21/2011 •1 Lecture 15: March 21, 2011 • Readings: – Multiple Comparisons: middle page 450 - middle page 452 • Tukey’s Test: We are covering this topic today. – ANOVA assumptions: middle page 452 - page 454 • Various other tests: I will skip these pages. – Two-Factor ANOVA: pages 456-462 • A second “factor” is introduced to one-way (or one-factor) ANOVA • I will cover these pages beginning on Wednesday. • Today: Refinement using the results of an ANOVA hypothesis test – If we conclude that the means are different, – which of the possible means are the ones that are different? • Connect Homework 10: coming late tomorrow Let’s set the stage for this new topic. • You have just completed a one-way ANOVA. • You have rejected the null hypothesis that the means are equal. • You have concluded that there is a difference among the treatment means. • Do you remember doing this? • We did this last class. • Take a look at the Minitab output. Minitab: Our treatment data are entered in Minitab columns C1, C2, and C2 and named T1, T2, and T3, respectively. Also, all of the individual observations are entered in separate Minitab column C4 and named All Data. The following appears as Minitab Worksheet 1: Here’s how we will use the variables: – T1, T2, and T3: These will be used to do the one-way ANOVA. – All Data: This will be used to calculate the grand mean.
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•3/21/2011 •2 The Minitab Tool Bar is at the top. Click on Stat. In the drop-down menu, position the cursor on Basic Statistics > Display Descriptive Statistics. Click on Display Descriptive Statistics. In the dialog box that appears, fill in the Variables box with All Data . Click OK. The following output appears: This step is performed for no other reason than to get information about the grand mean. The Minitab Tool Bar is at the top. Click on Stat. In the drop-down menu, position the cursor on ANOVA > One-Way (Unstacked). Click on One-Way (Unstacked). In the dialog box that appears, fill in the Responses box with T1, T2, and T3 . Click OK.
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03-21-2011 Tukey Test - 3/21/2011 Lecture 15: March 21,...

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