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Chapter_10 - Chapter 10: Analysis of Variance: Comparing...

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Chapter 10: Analysis of Variance: Comparing More Than Two Means
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 2 Where We’ve Been Presented methods for estimating and testing hypotheses about a single population mean Presented methods for comparing two population means
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Where We’re Going Discuss the critical elements in the design of a sampling experiment Investigate completely randomized , randomized block , and factorial designs Show how to analyze data using a technique called analysis of variance Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 3
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 4 10.1: Elements of a Designed Experiment
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 5 10.1: Elements of a Designed Experiment Factor Levels are the values of the factors
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 6 10.1: Elements of a Designed Experiment Treatments are the factor-level combinations In the example above, a variety of different GPA – Hours Studied combinations could occur within each subset ( Yes or No ) of the Study Group factor
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 7 10.1: Elements of a Designed Experiment An experimental unit is the object on which the response and factors are observed or measured In the example above, an individual student would be the experimental unit
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 8 10.1: Elements of a Designed Experiment
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 9 10.1: Elements of a Designed Experiment The method by which the experimental units are selected determines the type of experiment
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 10 10.1: Elements of a Designed Experiment
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 11 10.2: The Completely Randomized Design The completely randomized design is a design in which treatments are randomly assigned to the experimental units or in which independent random samples of experimental units are selected for each treatment.
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 12 10.2: The Completely Randomized Design
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Statistics for Business and Economics, 11th ed. Chapter 10: Analysis of Variance 13 10.2: The Completely Randomized Design Very often the object is to determine whether the varying treatments result in different means: H 0 : µ 1 = µ 2 = µ 3 = µ 4 = ··· = µ k H a : At least two of the k treatment means differ
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Testing the equity of the means involves comparing the variability among the different treatments as well as within the treatments, adjusted for degrees of freedom.
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Chapter_10 - Chapter 10: Analysis of Variance: Comparing...

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