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Gonif International sells vacation time shares using Internet banner ads. They want to test the average daily sales rates for three different banner ads targeted to the same consumer group. The first question they need to answer: How large a total sample do they need? This means, how many days should they run the test. Each of the three designs will make up one third of the observations, so the total number of days required is one- third the total sample size. Management's goal is to achieve statistical power of at least 80%. Based on their experience, they estimate that Cohen's feffect size will be about 0.25, which is a small effect. Use this estimate of Cohen's feffect size to calculate a priori statistical power. Use the following thresholds for interpreting effect size: Effect Size Thresholds

Gonif International sells vacation time shares using Internet banner ads. They want to test the average daily sales rates for three different banner ads targeted to the same consumer group. The first question they need to answer: How large a total sample do they need? This means, how many days should they run the test. Each of the three designs will make up one third of the observations, so the total number of days required is one- third the total sample size. Management's goal is to achieve statistical power of at least 80%. Based on their experience, they estimate that Cohen's feffect size will be about 0.25, which is a small effect. Use this estimate of Cohen's feffect size to calculate a priori statistical power. Use the following thresholds for interpreting effect size: Effect Size Thresholds

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Test Set-Up Gonif International sells vacation time shares using Internet banner ads. They want to test the average daily sales rates for three different banner ads targeted to the same consumer group. The first question they need to answer: How large a total sample do they need? This means, how many days should they run the test. Each of the three designs will make up one third of the observations, so the total number of days required is one- third the total sample size. Management's goal is to achieve statistical power of at least 80%. Based on their experience, they estimate that Cohen's feffect size will be about 0.25, which is a small effect. Use this estimate of Cohen's feffect size to calculate a priori statistical power. Use the following thresholds for interpreting effect size: Effect Size Thresholds Eta-Squared Cohen's f ES Interpretation Negligible Small <0.01 <0.10 0.010 0.10 Medium 0.059 0.25 Large 0.138 0.40 How many days of sales data must be collected (divide the total sample size by 3). Use G*Power to calculate a priori statistical power. Test family: F tests. Statistical test: ANOVA: Fixed effects, omnibus, one-way. The presumed effect size f is 0.25. Use a 0.05 significance level. The minimal level of power is 0.80. SHOW YOUR WORK! If you are using a Chromebook or table, use the Statistics Kingdom sample size calculator found at https://www.statskingdom.com/sample size regression.html. Set power to 0.80, predictor to 3, Effect type to f, and Effect Size to .25. Note: Setting Effect to Medium or Small will not make a difference. Answer: The research question: Are sales generated for the three banner ads unequal? And, if they are, which of the pairs are unequal? Here are the daily sales data. Remember: The column labelled “Day" is not one of the three treatments.
Transcribed Image Text:1. Test Set-Up Gonif International sells vacation time shares using Internet banner ads. They want to test the average daily sales rates for three different banner ads targeted to the same consumer group. The first question they need to answer: How large a total sample do they need? This means, how many days should they run the test. Each of the three designs will make up one third of the observations, so the total number of days required is one- third the total sample size. Management's goal is to achieve statistical power of at least 80%. Based on their experience, they estimate that Cohen's feffect size will be about 0.25, which is a small effect. Use this estimate of Cohen's feffect size to calculate a priori statistical power. Use the following thresholds for interpreting effect size: Effect Size Thresholds Eta-Squared Cohen's f ES Interpretation Negligible Small <0.01 <0.10 0.010 0.10 Medium 0.059 0.25 Large 0.138 0.40 How many days of sales data must be collected (divide the total sample size by 3). Use G*Power to calculate a priori statistical power. Test family: F tests. Statistical test: ANOVA: Fixed effects, omnibus, one-way. The presumed effect size f is 0.25. Use a 0.05 significance level. The minimal level of power is 0.80. SHOW YOUR WORK! If you are using a Chromebook or table, use the Statistics Kingdom sample size calculator found at https://www.statskingdom.com/sample size regression.html. Set power to 0.80, predictor to 3, Effect type to f, and Effect Size to .25. Note: Setting Effect to Medium or Small will not make a difference. Answer: The research question: Are sales generated for the three banner ads unequal? And, if they are, which of the pairs are unequal? Here are the daily sales data. Remember: The column labelled “Day" is not one of the three treatments.
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