BUS310_L19_3.29.11_PS6

BUS310_L19_3.29.11_PS6 - Inferential Statistics /...

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Lecture 19: Inferential Statistics / Hypothesis Testing III Chapter 11 (Chi-Square Tests)
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Outline Review: Hypothesis testing with ANOVA Review: Problem Set 5 Review / New Material: Hypothesis testing with Chi Square Tests Excel work for Problem Set 6
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Problem Set 6 Question 1: ANOVA with 5 categories (Chapter 10)
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Chapter 10: Problem 10.60 (4 points) An advertising agency has been hired by a manufacturer of pens to develop an advertising campaign. To prepare for the project, they do a study on the effect of advertising on product perception . An experiment is designed to compare 5 different advertisements. Advertisement A greatly undersells the pen’s characteristics. Advertisement B slightly undersells the pen’s characteristics. Advertisement C slightly oversells the pen’s characteristics. Advertisement D greatly oversells the pen’s characteristics. Advertisement E attempts to correctly state the pen’s characteristics. A sample of 30 respondents is randomly assigned to the 5 advertisements (6 each ). After reading the ad and developing a sense of ‘product expectation’, all respondents unknowingly receive the same pen to evaluate. The respondents are then asked to rate the pen from 1 (lowest) to 7 (highest) on the product characteristics scales of appearance, durability, and writing performance. The combined scores of the three ratings for the 30 respondents are stored in the file ‘Pen.xls’. ‘Pen.xls’
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a) At the 0.05 level of significance, is there evidence of a difference in the mean rating of the 5 advertisements? 1. Unstack data ‘Pen.xls’
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a) At the 0.05 level of significance, is there evidence of a difference in the mean rating of the 5 advertisements? 2. Run ANOVA (Are the population mean ratings the same or different ‘Pen.xls’ Data, ‘Data Analysis’, ‘ANOVA: Single Factor’ Or PHStat, ‘Multiple Sample Tests’, ‘One-Way ANOVA’
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a) At the 0.05 level of significance, is there evidence of a difference in the mean rating of the 5 advertisements? ‘Pen.xls’ H0: μ1 = μ2 = μ3= μ4 = μ5 H1: Not all equal
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b) If appropriate, determine which advertisements differ in mean ratings. [Tukey-Kramer Procedure] ‘Pen.xls’
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Get Q Statistic from Table E8 (page 563) Look up Q Statistic with: Numerator d.f. (Number of treatments): 5 (there are 3 groups & 5 means to compare) Denominator d.f. (number of values in the samples minus number of groups): 25: e Choose the Q-value for (df: 5, 24) in Table E8 Q = 4.17 Table shows critical value for Q corresponding to α = 0.05 (top) and α = 0.01 (bottom)
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b) If appropriate, determine which advertisements differ in mean ratings. [Tukey-Kramer Procedure] ‘Pen.xls’
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satisfied. ‘Pen.xls’
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BUS310_L19_3.29.11_PS6 - Inferential Statistics /...

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