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bus308 week 3 assignment

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See comments at the right of the data set.;ID Salary Compa Midpoint Age Performance Rating Service Gender Raise Degree Gender1 Grade;8 23 1.000 23 32 90 9 1 5.8 0 F A;10 22 0.956 23 30 80 7 1 4.7 0 F A;11 23 1.000 23 41 100 19 1 4.8 0 F A;14 24 1.043 23 32 90 12 1 6 0 F A;15 24 1.043 23 32 80 8 1 4.9 0 F A;23 23 1.000 23 36 65 6 1 3.3 1 F A;26 24 1.043 23 22 95 2 1 6.2 1 F A;31 24 1.043 23 29 60 4 1 3.9 0 F A;35 24 1.043 23 23 90 4 1 5.3 1 F A;36 23 1.000 23 27 75 3 1 4.3 1 F A;37 22 0.956 23 22 95 2 1 6.2 1 F A;42 24 1.043 23 32 100 8 1 5.7 0 F A;3 34 1.096 31 30 75 5 1 3.6 0 F B;18 36 1.161 31 31 80 11 1 5.6 1 F B;20 34 1.096 31 44 70 16 1 4.8 1 F B;39 35 1.129 31 27 90 6 1 5.5 1 F B;7 41 1.025 40 32 100 8 1 5.7 0 F C;13 42 1.050 40 30 100 2 1 4.7 1 F C;22 57 1.187 48 48 65 6 1 3.8 0 F D;24 50 1.041 48 30 75 9 1 3.8 1 F D;45 55 1.145 48 36 95 8 1 5.2 0 F D;17 69 1.210 57 27 55 3 1 3 0 F E;48 65 1.140 57 34 90 11 1 5.3 1 F E;28 75 1.119 67 44 95 9 1 4.4 1 F F;43 77 1.149 67 42 95 20 1 5.5 1 F F;19 24 1.043 23 32 85 1 0 4.6 1 M A;25 24 1.043 23 41 70 4 0 4 0 M A;40 25 1.086 23 24 90 2 0 6.3 0 M A;2 27 0.870 31 52 80 7 0 3.9 0 M B;32 28 0.903 31 25 95 4 0 5.6 0 M B;34 28 0.903 31 26 80 2 0 4.9 1 M B;16 47 1.175 40 44 90 4 0 5.7 0 M C;27 40 1.000 40 35 80 7 0 3.9 1 M C;41 43 1.075 40 25 80 5 0 4.3 0 M C;5 47 0.979 48 36 90 16 0 5.7 1 M D;30 49 1.020 48 45 90 18 0 4.3 0 M D;1 58 1.017 57 34 85 8 0 5.7 0 M E;4 66 1.157 57 42 100 16 0 5.5 1 M E;12 60 1.052 57 52 95 22 0 4.5 0 M E;33 64 1.122 57 35 90 9 0 5.5 1 M E;38 56 0.982 57 45 95 11 0 4.5 0 M E;44 60 1.052 57 45 90 16 0 5.2 1 M E;46 65 1.140 57 39 75 20 0 3.9 1 M E;47 62 1.087 57 37 95 5 0 5.5 1 M E;49 60 1.052 57 41 95 21 0 6.6 0 M E;50 66 1.157 57 38 80 12 0 4.6 0 M E;6 76 1.134 67 36 70 12 0 4.5 1 M F;9 77 1.149 67 49 100 10 0 4 1 M F;21 76 1.134 67 43 95 13 0 6.3 1 M F;29 72 1.074 67 52 95 5 0 5.4 0 M F;At this point we know the following about male and female salaries.;a. Male and female overall average salaries are not equal in the population.;b. Male and female overall average compas are equal in the population, but males are a bit more spread out.;c. The male and female salary range are almost the same, as is their age and service.;d. Average performance ratings per gender are equal.;Let's look at some other factors that might influence pay - education(degree) and performance ratings.;1 Last week, we found that average performance ratings do not differ between males and females in the population.;Now we need to see if they differ among the grades. Is the average performace rating the same for all grades?;(Assume variances are equal across the grades for this ANOVA.) A B C D E F;Null Hypothesis;Alt. Hypothesis;Place B17 in Outcome range box.;What is the p-value;Is P-value < 0.05?;Do you reject or not reject the null hypothesis;If the null hypothesis was rejected, what is the effect size value (eta squared);Meaning of effect size measure;Interpretation;The table and analysis below demonstrate a 2-way ANOVA with replication. Please interpret the results.;BA MA Ho: Average compas by gender are equal;Male 1.017 1.157 Ha: Average compas by gender are not equal;0.870 0.979 Ho: Average compas are equal for each degree;1.052 1.134 Ho: Average compas are not equal for each degree;1.175 1.149 Ho: Interaction is not significant;1.043 1.043 Ha: Interaction is significant;1.074 1.134;1.020 1.000 Perform analysis;0.903 1.122;0.982 0.903 Anova: Two-Factor With Replication;1.086 1.052;1.075 1.140 SUMMARY BA MA Total;1.052 1.087 Male;Female 1.096 1.050 Count 12 12 24;1.025 1.161 Sum 12.349 12.9 25.249;1.000 1.096 Average 1.029083333 1.075 1.052041667;0.956 1.000 Variance 0.006686447 0.006519818 0.006866042;1.000 1.041;1.043 1.043 Female;1.043 1.119 Count 12 12 24;1.210 1.043 Sum 12.791 12.787 25.578;1.187 1.000 Average 1.065916667 1.065583333 1.06575;1.043 0.956 Variance 0.006102447 0.004212811 0.004933413;1.043 1.129;1.145 1.149 Total;Count 24 24;Sum 25.14 25.687;Average 1.0475 1.070291667;Variance 0.006470348 0.005156129;s

 

Paper#23159 | Written in 18-Jul-2015

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