Chapter_11 - Chapter 11 Analysis of Variance Click to edit...

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Click to edit Master subtitle style 1Chap 11-1 Chapter 11 Analysis of Variance
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2Chap 11-2 Analysis of Variance (ANOVA) F-test One-Way ANOVA Randomized Block Design
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3Chap 11-3 General ANOVA Setting n Investigator controls one or more factors of interest n Each factor contains two or more levels n Levels can be numerical or categorical n Different levels produce different groups n Think of each group as a sample from a different population n Observe effects on the dependent variable n Are the groups the same? n Experimental design: the plan used to collect the data
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4Chap 11-4 Completely Randomized Design n Experimental units (subjects) are assigned randomly to groups n Subjects are assumed homogeneous n Only one factor or independent variable n With two or more levels n Analyzed by one-factor analysis of variance (ANOVA)
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5Chap 11-5 One-Way Analysis of Variance n Evaluate the difference among the means of three or more groups Examples: Accident rates for 1st, 2nd, and 3rd shift Expected mileage for five brands of tires n Assumptions n Populations are normally distributed n Populations have equal variances n Samples are randomly and independently
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6Chap 11-6 Hypotheses of One-Way ANOVA n n All population means are equal n i.e., no factor effect (no variation in means among groups) n n At least one population mean is different n i.e., there is a factor effect n Does not mean that all population means are different (some pairs may be the same) c 3 2 1 0 μ μ μ μ : H = = = = same the are means population the of all Not : H 1
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7Chap 11-7 One-Way ANOVA The Null Hypothesis is True All Means are the same: (No Factor Effect) c 3 2 1 0 μ μ μ μ : H = = = = same the are μ all Not : H j 1 3 2 1 μ μ μ = =
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8Chap 11-8 One-Way ANOVA The Null Hypothesis is NOT true
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This note was uploaded on 05/31/2011 for the course MGT C06 taught by Professor A.stawinoga during the Fall '10 term at University of Toronto.

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Chapter_11 - Chapter 11 Analysis of Variance Click to edit...

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