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ANOVA PRACTICE PROBL EM: Team Sales As an incentive to its sales force, Joe's Company offers a weekly bonus to the team that brings in the most orders; “most" is defined as statistically significantly more than other teams. The sales manager received the following data for three groups: This Week's Orders Team 1 Team 2 Team 3 12 19

ANOVA PRACTICE PROBL EM: Team Sales As an incentive to its sales force, Joe's Company offers a weekly bonus to the team that brings in the most orders; “most" is defined as statistically significantly more than other teams. The sales manager received the following data for three groups: This Week's Orders Team 1 Team 2 Team 3 12 19

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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ANOVA PRACTICE PROBLEM: Team Sales As an incentive to its sales force, Joe's Company offers a weekly bonus to the team that brings in the most orders; “most" is defined as statistically significantly more than other teams. The sales manager received the following data for three groups: This Week's Orders Team 1 Team 2 Team 3 12 19 6 8 8 15 10 5 5 16 15 18 5 Conduct a One-Way ANOVA, using an alpha level of .05 and comment on whether a weekly bonus should or should not be given. SS df MS F Treatment (Between= B) Error (Within= W) Total
Transcribed Image Text:ANOVA PRACTICE PROBLEM: Team Sales As an incentive to its sales force, Joe's Company offers a weekly bonus to the team that brings in the most orders; “most" is defined as statistically significantly more than other teams. The sales manager received the following data for three groups: This Week's Orders Team 1 Team 2 Team 3 12 19 6 8 8 15 10 5 5 16 15 18 5 Conduct a One-Way ANOVA, using an alpha level of .05 and comment on whether a weekly bonus should or should not be given. SS df MS F Treatment (Between= B) Error (Within= W) Total
ANOVA TABLE - ONE WAY S df MS F MSg = SS / dfg MSw = SSw/ dfw SSB Treatment dfg = ng - 1 dfw = N - nG F = (Between= B) MS /MSw Error (Within= W) SSw Total dfTotal = SSTotal = SSg + SSw N - 1 S df MS F Treatment (Between= B) Error (Within= W) Total Steps for Calculating a One-way ANOVA Find the mean for each group in the study 1. 2. Find the Grand Mean (the mean of the group means) Determine Degrees of Freedom (Between, Within, Total) 3. 4. Calculate the Sum of Squares Between Groups: Σn(Χ - Χ,): SSB = Sum of Squares Between Groups Take the mean for the group and subtract the Grand Mean (the result is a mean deviation value for each group). Keep in mind that you need to do this for each group/condition in the study. Square each Mean Deviation Value and then multiply it by the number of subjects/scores in the group (n) Once you have the Mean Deviation Value Squared for each group/condition, add them together. The resulting value is the Sum of Squares Between Groups 5. Calculate the Sum of Squares Within Groups: SSw = E2 (X-X )? Sum of Squares Within Groups Take the mean for each group/condition and subtract it from each individual score within the group to get the deviation score Keep in mind that you will have a different mean value for each group/condition and so you should compute the deviation scores separately for each group/condition in the design Square the Deviation scores within each group/condition Once you have all the deviation scores squared from each group/condition, add them ALL together. The resulting value is the Sum of Squares Within Groups
Transcribed Image Text:ANOVA TABLE - ONE WAY S df MS F MSg = SS / dfg MSw = SSw/ dfw SSB Treatment dfg = ng - 1 dfw = N - nG F = (Between= B) MS /MSw Error (Within= W) SSw Total dfTotal = SSTotal = SSg + SSw N - 1 S df MS F Treatment (Between= B) Error (Within= W) Total Steps for Calculating a One-way ANOVA Find the mean for each group in the study 1. 2. Find the Grand Mean (the mean of the group means) Determine Degrees of Freedom (Between, Within, Total) 3. 4. Calculate the Sum of Squares Between Groups: Σn(Χ - Χ,): SSB = Sum of Squares Between Groups Take the mean for the group and subtract the Grand Mean (the result is a mean deviation value for each group). Keep in mind that you need to do this for each group/condition in the study. Square each Mean Deviation Value and then multiply it by the number of subjects/scores in the group (n) Once you have the Mean Deviation Value Squared for each group/condition, add them together. The resulting value is the Sum of Squares Between Groups 5. Calculate the Sum of Squares Within Groups: SSw = E2 (X-X )? Sum of Squares Within Groups Take the mean for each group/condition and subtract it from each individual score within the group to get the deviation score Keep in mind that you will have a different mean value for each group/condition and so you should compute the deviation scores separately for each group/condition in the design Square the Deviation scores within each group/condition Once you have all the deviation scores squared from each group/condition, add them ALL together. The resulting value is the Sum of Squares Within Groups
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