Score: Week 3 ANOVA and Paired T-test At this point we know the following about male and female salaries. Male and female overall average salaries are not equal in the population. a. Male and female overall average compas are equal in the population, but males are a bit more spread out. b. The male and female salary range are almost the same, as is their age and service. c. Average performance ratings per gender are equal. d. Let's look at some other factors that might influence pay - education(degree) and performance ratings. <1 point> 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.) You can use these columns to place grade Perf Ratings if desired. A B C D E F Null Hypothesis: Alt. Hypothesis: Place B17 in Outcome range box. Interpretation: What is the p-value: Is P-value < 0.05? Do we REJ what is the effect size If the null hypothesis was rejected, or Not reject the null? value (eta squared): Meaning of effect size measure: What does that decision mean in terms of our equal pay question: <1 point> 2 While it appears that average salaries per each grade differ, we need to test this assumption. Is the average salary the same for each of the grade levels? (Assume equal variance, and use the analysis toolpak function ANOVA.) Use the input table to the right to list salaries under each grade level. Null Hypothesis: Alt. Hypothesis: Place B55 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): If desired, place salaries per grade in these columns A B C D E F Meaning of effect size measure: Interpretation: 3 <1 point> The table and analysis below demonstrate a 2-way ANOVA with replication. Please interpret the results. Male Female BA 1.017 0.870 1.052 1.175 1.043 1.074 1.020 0.903 0.982 1.086 1.075 1.052 1.096 1.025 1.000 0.956 1.000 1.043 1.043 1.210 1.187 1.043 1.043 1.145 MA 1.157 0.979 1.134 1.149 1.043 1.134 1.000 1.122 0.903 1.052 1.140 1.087 1.050 1.161 1.096 1.000 1.041 1.043 1.119 1.043 1.000 0.956 1.129 1.149 Ho: Average compas by gender are equal Ha: Average compas by gender are not equal Ho: Average compas are equal for each degree Ha: Average compas are not equal for each degree Ho: Interaction is not significant Ha: Interaction is significant Perform analysis: Anova: Two-Factor With Replication SUMMARY BA MA Total Male Count Sum Average Variance 12 12 24 12.349 12.9 25.249 1.029083333 1.075 1.0520417 0.006686447 0.0065198 0.006866 Female Count Sum Average Variance 12 12 24 12.791 12.787 25.578 1.065916667 1.0655833 1.06575 0.006102447 0.0042128 0.0049334 Total Count Sum Average Variance 24 24 25.14 25.687 1.0475 1.0702917 0.006470348 0.0051561 ANOVA Source of Variation SS df MS Sample 0.002255021 Columns 0.006233521 Interaction 0.006417188 Within 0.25873675 1 1 1 44 Total F P-value F crit 0.002255 0.3834821 0.538939 4.0617065 (This is the row variab 0.0062335 1.060054 0.3088296 4.0617065 (This is the column va 0.0064172 1.0912878 0.3018915 4.0617065 0.0058804 47 0.273642479 Interpretation: For Ho: Average compas by gender are equal Ha: Average compas by gender are not equal 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: For Ho: Average compas are equal for all degrees Ha: Average compas are not equal for all grades 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: For: Ho: Interaction is not significant Ha: Interaction is significant 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: What do these decisions mean in terms of our equal pay question: <1 point> 4 Many companies consider the grade midpoint to be the "market rate" - what is needed to hire a new employee. Place data values in thes Salary Midpoint Does the company, on average, pay its existing employees at or above the market rate? Null Hypothesis: Alt. Hypothesis: Statistical test to use: Place the cursor in B160 for test. What is the p-value: Is P-value < 0.05? What else needs to be checked on a 1-tail in order to reject the null? Do we REJ or Not reject the null? If the null hypothesis was rejected, what is the effect size value: NA Meaning of effect size measure: NA Interpretation: <2 points> 5. Using the results up thru this week, what are your conclusions about gender equal pay for equal work at this point? ble or gender.) ariable or Degree.) ese columns