BUS 308 WEEK 3 ASSIGNMENT
(Not rated)
(Not rated)
| 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. | |||||||||||||
| Interpretation: | ||||||||||||
| What is the p-value: | ||||||||||||
| Is P-value < 0.05? | ||||||||||||
| Do we REJ or Not reject the null? | ||||||||||||
| If the null hypothesis was rejected, what is the effect size value (eta squared): | ||||||||||||
| Meaning of effect size measure: | ||||||||||||
| What does that decision mean in terms of our equal pay question: | ||||||||||||
| 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: | A | B | C | D | E | F | |||||||
| 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): | ||||
| Meaning of effect size measure: | ||||
| Interpretation: | ||||
| 3 | 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 | 1.02908333 | 1.075 | 1.052042 | ||||||||||
| 0.956 | 1.000 | Variance | 0.00668645 | 0.00652 | 0.006866 | ||||||||||
| 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 | 1.06591667 | 1.065583 | 1.06575 | ||||||||||
| 1.043 | 0.956 | Variance | 0.00610245 | 0.004213 | 0.004933 | ||||||||||
| 1.043 | 1.129 | ||||||||||||||
| 1.145 | 1.149 | Total | |||||||||||||
| Count | 24 | 24 | |||||||||||||
| Sum | 25.14 | 25.687 | |||||||||||||
| Average | 1.0475 | 1.070292 | |||||||||||||
| Variance | 0.00647035 | 0.005156 | |||||||||||||
| ANOVA | |||||||||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | |||||||||
| Sample | 0.00225502 | 1 | 0.002255 | 0.383482 | 0.538939 | 4.061706 | (This is the row variable or gender.) | ||||||||
| Columns | 0.00623352 | 1 | 0.006234 | 1.060054 | 0.30883 | 4.061706 | (This is the column variable or Degree.) | ||||||||
| Interaction | 0.00641719 | 1 | 0.006417 | 1.091288 | 0.301892 | 4.061706 | |||||||||
| Within | 0.25873675 | 44 | 0.00588 | ||||||||||||
| Total | 0.27364248 | 47 | |||||||||||||
| 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 salaries are equal for all grades | Ha: Average salaries 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: | |||||||||||||||
| 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: | |||||||||||||||
| 4 | Many companies consider the grade midpoint to be the "market rate" - what is needed to hire a new employee. | Midpoint | Salary | ||||||||||||
| 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 correl. | |||||||||||||||
| What is the p-value: | ||||||||||
| Is P-value < 0.05? | ||||||||||
| Do we REJ or Not reject the null? | ||||||||||
| If the null hypothesis was rejected, what is the effect size value: | Since the effect size was not discussed in this chapter, we do not have a formula for it - it differs from the non-paired t. | |||||||||
| Meaning of effect size measure: | NA | |||||||||
| Interpretation: | ||||||||||
| 5. | Using the results up thru this week, what are your conclusions about gender equal pay for equal work at this point? | |||||||||
12 years ago
100% Quality Work A+ Tutorial Guaranteed Work for you use as Guide
NOT RATED
Purchase the answer to view it

- solutions_bus_308_week_3.xlsx