Excel Statics
Data
| ID | Salary | Compa | Midpoint | Age | Performance Rating | Service | Gender | Raise | Degree | Gender1 | Grade | Do not manipuilate Data set on this page, copy to another page to make changes | ||||
| 1 | 56.5 | 0.992 | 57 | 34 | 85 | 8 | 0 | 5.7 | 0 | M | E | The ongoing question that the weekly assignments will focus on is: Are males and females paid the same for equal work (under the Equal Pay Act)? | ||||
| 2 | 26.5 | 0.854 | 31 | 52 | 80 | 7 | 0 | 3.9 | 0 | M | B | Note: to simplfy the analysis, we will assume that jobs within each grade comprise equal work. | ||||
| 3 | 34.2 | 1.103 | 31 | 30 | 75 | 5 | 1 | 3.6 | 1 | F | B | |||||
| 4 | 61.3 | 1.076 | 57 | 42 | 100 | 16 | 0 | 5.5 | 1 | M | E | The column labels in the table mean: | ||||
| 5 | 49.4 | 1.030 | 48 | 36 | 90 | 16 | 0 | 5.7 | 1 | M | D | ID – Employee sample number | Salary – Salary in thousands | |||
| 6 | 72.3 | 1.079 | 67 | 36 | 70 | 12 | 0 | 4.5 | 1 | M | F | Age – Age in years | Performance Rating - Appraisal rating (employee evaluation score) | |||
| 7 | 41.5 | 1.037 | 40 | 32 | 100 | 8 | 1 | 5.7 | 1 | F | C | Service – Years of service (rounded) | Gender – 0 = male, 1 = female | |||
| 8 | 22.4 | 0.976 | 23 | 32 | 90 | 9 | 1 | 5.8 | 1 | F | A | Midpoint – salary grade midpoint | Raise – percent of last raise | |||
| 9 | 73.3 | 1.094 | 67 | 49 | 100 | 10 | 0 | 4 | 1 | M | F | Grade – job/pay grade | Degree (0= BS\BA 1 = MS) | |||
| 10 | 23.6 | 1.024 | 23 | 30 | 80 | 7 | 1 | 4.7 | 1 | F | A | Gender1 (Male or Female) | Compa-ratio - salary divided by midpoint | |||
| 11 | 23.1 | 1.003 | 23 | 41 | 100 | 19 | 1 | 4.8 | 1 | F | A | |||||
| 12 | 61.7 | 1.082 | 57 | 52 | 95 | 22 | 0 | 4.5 | 0 | M | E | |||||
| 13 | 41.9 | 1.048 | 40 | 30 | 100 | 2 | 1 | 4.7 | 0 | F | C | |||||
| 14 | 23.4 | 1.016 | 23 | 32 | 90 | 12 | 1 | 6 | 1 | F | A | |||||
| 15 | 22.9 | 0.994 | 23 | 32 | 80 | 8 | 1 | 4.9 | 1 | F | A | |||||
| 16 | 41.3 | 1.032 | 40 | 44 | 90 | 4 | 0 | 5.7 | 0 | M | C | |||||
| 17 | 65.7 | 1.153 | 57 | 27 | 55 | 3 | 1 | 3 | 1 | F | E | |||||
| 18 | 35.6 | 1.148 | 31 | 31 | 80 | 11 | 1 | 5.6 | 0 | F | B | |||||
| 19 | 23.5 | 1.023 | 23 | 32 | 85 | 1 | 0 | 4.6 | 1 | M | A | |||||
| 20 | 35.4 | 1.141 | 31 | 44 | 70 | 16 | 1 | 4.8 | 0 | F | B | |||||
| 21 | 77.3 | 1.153 | 67 | 43 | 95 | 13 | 0 | 6.3 | 1 | M | F | |||||
| 22 | 58.3 | 1.215 | 48 | 48 | 65 | 6 | 1 | 3.8 | 1 | F | D | |||||
| 23 | 22.3 | 0.970 | 23 | 36 | 65 | 6 | 1 | 3.3 | 0 | F | A | |||||
| 24 | 47.2 | 0.984 | 48 | 30 | 75 | 9 | 1 | 3.8 | 0 | F | D | |||||
| 25 | 23.9 | 1.041 | 23 | 41 | 70 | 4 | 0 | 4 | 0 | M | A | |||||
| 26 | 24.4 | 1.059 | 23 | 22 | 95 | 2 | 1 | 6.2 | 0 | F | A | |||||
| 27 | 44.2 | 1.105 | 40 | 35 | 80 | 7 | 0 | 3.9 | 1 | M | C | |||||
| 28 | 76.2 | 1.138 | 67 | 44 | 95 | 9 | 1 | 4.4 | 0 | F | F | |||||
| 29 | 77.3 | 1.154 | 67 | 52 | 95 | 5 | 0 | 5.4 | 0 | M | F | |||||
| 30 | 48.9 | 1.018 | 48 | 45 | 90 | 18 | 0 | 4.3 | 0 | M | D | |||||
| 31 | 24.4 | 1.062 | 23 | 29 | 60 | 4 | 1 | 3.9 | 1 | F | A | |||||
| 32 | 27.4 | 0.883 | 31 | 25 | 95 | 4 | 0 | 5.6 | 0 | M | B | |||||
| 33 | 58 | 1.018 | 57 | 35 | 90 | 9 | 0 | 5.5 | 1 | M | E | |||||
| 34 | 27.6 | 0.890 | 31 | 26 | 80 | 2 | 0 | 4.9 | 1 | M | B | |||||
| 35 | 22.4 | 0.975 | 23 | 23 | 90 | 4 | 1 | 5.3 | 0 | F | A | |||||
| 36 | 22.7 | 0.985 | 23 | 27 | 75 | 3 | 1 | 4.3 | 0 | F | A | |||||
| 37 | 23.9 | 1.037 | 23 | 22 | 95 | 2 | 1 | 6.2 | 0 | F | A | |||||
| 38 | 59.5 | 1.043 | 57 | 45 | 95 | 11 | 0 | 4.5 | 0 | M | E | |||||
| 39 | 35.1 | 1.132 | 31 | 27 | 90 | 6 | 1 | 5.5 | 0 | F | B | |||||
| 40 | 25 | 1.087 | 23 | 24 | 90 | 2 | 0 | 6.3 | 0 | M | A | |||||
| 41 | 40.9 | 1.022 | 40 | 25 | 80 | 5 | 0 | 4.3 | 0 | M | C | |||||
| 42 | 22.7 | 0.987 | 23 | 32 | 100 | 8 | 1 | 5.7 | 1 | F | A | |||||
| 43 | 73.9 | 1.103 | 67 | 42 | 95 | 20 | 1 | 5.5 | 0 | F | F | |||||
| 44 | 65 | 1.140 | 57 | 45 | 90 | 16 | 0 | 5.2 | 1 | M | E | |||||
| 45 | 52.4 | 1.092 | 48 | 36 | 95 | 8 | 1 | 5.2 | 1 | F | D | |||||
| 46 | 60.6 | 1.063 | 57 | 39 | 75 | 20 | 0 | 3.9 | 1 | M | E | |||||
| 47 | 61.1 | 1.072 | 57 | 37 | 95 | 5 | 0 | 5.5 | 1 | M | E | |||||
| 48 | 68.7 | 1.206 | 57 | 34 | 90 | 11 | 1 | 5.3 | 1 | F | E | |||||
| 49 | 60 | 1.052 | 57 | 41 | 95 | 21 | 0 | 6.6 | 0 | M | E | |||||
| 50 | 59.5 | 1.043 | 57 | 38 | 80 | 12 | 0 | 4.6 | 0 | M | E |
Week 3
| Week 3: Identifying Significant Differences - part 2 | Data Input Table: | Salary Range Groups | |||||||||||||||||||||||||
| Group name: | A | B | C | D | E | F | |||||||||||||||||||||
| To Ensure full credit for each question, you need to show how you got your results. This involves either showing where the data you used is located | List salaries within each grade | ||||||||||||||||||||||||||
| or showing the excel formula in each cell. | Be sure to copy the appropriate data columns from the data tab to the right for your use this week. | ||||||||||||||||||||||||||
| 1 | A good pay program will have different average salaries by grade. Is this the case for our company? | ||||||||||||||||||||||||||
| a | What is the data input ranged used for this question: | Use Cell K08 for the Excel test outcome location. | |||||||||||||||||||||||||
| Note: assume equal variances for each grade, even though this may not be accurate, for purposes of this question. | |||||||||||||||||||||||||||
| b. Step 1: | Ho: | ||||||||||||||||||||||||||
| Ha: | |||||||||||||||||||||||||||
| Step 2: | Significance (Alpha): | ||||||||||||||||||||||||||
| Step 3: | Test Statistic and test: | ||||||||||||||||||||||||||
| Why this test? | |||||||||||||||||||||||||||
| Step 4: | Decision rule: | ||||||||||||||||||||||||||
| Step 5: | Conduct the test - place test function in cell K08 | ||||||||||||||||||||||||||
| Step 6: | Conclusion and Interpretation | ||||||||||||||||||||||||||
| What is the p-value: | |||||||||||||||||||||||||||
| What is your decision: REJ or NOT reject the null? | |||||||||||||||||||||||||||
| Why? | |||||||||||||||||||||||||||
| What is your conclusion about the means in the population for grade salaries? | |||||||||||||||||||||||||||
| 2 | If the null hypothesis in question 1 was rejected, which pairs of means differ? | ||||||||||||||||||||||||||
| (Use the values from the ANOVA table to complete the follow table.) | |||||||||||||||||||||||||||
| Groups Compared | Mean Diff. | T value used | +/- Term | Low | to | High | Difference Significant? | Why? | |||||||||||||||||||
| A-B | |||||||||||||||||||||||||||
| A-C | |||||||||||||||||||||||||||
| A-D | |||||||||||||||||||||||||||
| A-E | |||||||||||||||||||||||||||
| A-F | |||||||||||||||||||||||||||
| B-C | |||||||||||||||||||||||||||
| B-D | |||||||||||||||||||||||||||
| B-E | |||||||||||||||||||||||||||
| B-E | |||||||||||||||||||||||||||
| C-D | |||||||||||||||||||||||||||
| C-E | |||||||||||||||||||||||||||
| C-F | |||||||||||||||||||||||||||
| D-E | |||||||||||||||||||||||||||
| D-F | |||||||||||||||||||||||||||
| E-F | |||||||||||||||||||||||||||
| 3 | One issue in salary is the grade an employee is in - higher grades have higher salaries. | ||||||||||||||||||||||||||
| This suggests that one question to ask is if males and females are distributed in a similar pattern across the salary grades? | |||||||||||||||||||||||||||
| a | What is the data input ranged used for this question: | Use Cell K54 for the Excel test outcome location. | |||||||||||||||||||||||||
| b. Step 1: | Ho: | ||||||||||||||||||||||||||
| Ha: | |||||||||||||||||||||||||||
| Step 2: | Significance (Alpha): | ||||||||||||||||||||||||||
| Step 3: | Test Statistic and test: | Place the actual distribution in the table below. | |||||||||||||||||||||||||
| Why this test? | A | B | C | D | E | F | Sum | ||||||||||||||||||||
| Step 4: | Decision rule: | Male | 0 | ||||||||||||||||||||||||
| Step 5: | Conduct the test - place test function in cell K54 | Female | 0 | ||||||||||||||||||||||||
| Sum: | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||
| Step 6: | Conclusion and Interpretation | Place the expected distribution in the table below. | |||||||||||||||||||||||||
| What is the p-value: | A | B | C | D | E | F | |||||||||||||||||||||
| What is your decision: REJ or NOT reject the null? | Male | 0 | |||||||||||||||||||||||||
| Why? | Female | 0 | |||||||||||||||||||||||||
| What is your conclusion about the means in the population for male and female salaries? | Sum: | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |||||||||||||||||||
| 4 | What implications do this week's analysis have for our equal pay question? | ||||||||||||||||||||||||||
| Your findings: | |||||||||||||||||||||||||||
| The lecture's related findings: | |||||||||||||||||||||||||||
| Overall conclusion: | |||||||||||||||||||||||||||
| Why - what statistical results support this conclusion? | |||||||||||||||||||||||||||
Week 4
| Week 4: Identifying relationships - correlations and regression | ||||||||||
| To Ensure full credit for each question, you need to show how you got your results. This involves either showing where the data you used is located | ||||||||||
| or showing the excel formula in each cell. | Be sure to copy the appropriate data columns from the data tab to the right for your use this week. | |||||||||
| 1 | What is the correlation between and among the interval/ratio level variables with salary? (Do not include compa-ratio in this question.) | |||||||||
| a. Create the correlation table. | Use Cell K08 for the Excel test outcome location. | |||||||||
| i. | What is the data input ranged used for this question: | |||||||||
| ii. | Create a correlation table in cell K08. | |||||||||
| b. Technically, we should perform a hypothesis testing on each correlation to determine | ||||||||||
| if it is significant or not. However, we can be faithful to the process and save some | ||||||||||
| time by finding the minimum correlation that would result in a two tail rejection of the null. | ||||||||||
| We can then compare each correlation to this value, and those exceeding it (in either a | ||||||||||
| positive or negative direction) can be considered statistically significant. | ||||||||||
| i. What is the t-value we would use to cut off the two tails? | T = | |||||||||
| ii. What is the associated correlation value related to this t-value? r = | ||||||||||
| c. What variable(s) is(are) significantly correlated to salary? | ||||||||||
| d. Are there any surprises - correlations you though would be significant and are not, or non significant correlations you thought would be? | ||||||||||
| e. Why does or does not this information help answer our equal pay question? | ||||||||||
| 2 | Perform a regression analysis using salary as the dependent variable and all of the variables used in Q1. Add the | |||||||||
| two dummy variables - gender and education - to your list of independent variables. Show the result, and interpret your findings by answering the following questions. | ||||||||||
| Suggestion: Add the dummy variables values to the right of the last data columns used for Q1. | ||||||||||
| What is the multiple regression equation predicting/explaining salary using all of our possible variables except compa-ratio? | ||||||||||
| a. | What is the data input ranged used for this question: | |||||||||
| b. | Step 1: State the appropriate hypothesis statements: | Use Cell M34 for the Excel test outcome location. | ||||||||
| Ho: | ||||||||||
| Ha: | ||||||||||
| Step 2: | Significance (Alpha): | |||||||||
| Step 3: | Test Statistic and test: | |||||||||
| Why this test? | ||||||||||
| Step 4: | Decision rule: | |||||||||
| Step 5: | Conduct the test - place test function in cell M34 | |||||||||
| Step 6: | Conclusion and Interpretation | |||||||||
| What is the p-value: | ||||||||||
| What is your decision: REJ or NOT reject the null? | ||||||||||
| Why? | ||||||||||
| What is your conclusion about the factors influencing the population salary values? | ||||||||||
| c. | If we rejected the null hypothesis, we need to test the significance of each of the variable coefficients. | |||||||||
| Step 1: State the appropriate coefficient hypothesis statements: | (Write a single pair, we will use it for each variable separately.) | |||||||||
| Ho: | ||||||||||
| Ha: | ||||||||||
| Step 2: | Significance (Alpha): | |||||||||
| Step 3: | Test Statistic and test: | |||||||||
| Why this test? | ||||||||||
| Step 4: | Decision rule: | |||||||||
| Step 5: | Conduct the test | |||||||||
| Note, in this case the test has been performed and is part of the Regression output above. | ||||||||||
| Step 6: | Conclusion and Interpretation | |||||||||
| Place the t and p-values in the following table | ||||||||||
| Identify your decision on rejecting the null for each variable. If you reject the null, place the coefficient in the table. | ||||||||||
| Midpoint | Age | Perf. Rat. | Seniority | Raise | Gender | Degree | ||||
| t-value: | ||||||||||
| P-value: | ||||||||||
| Rejection Decision: | ||||||||||
| If Null is rejected, what is the variable's coefficient value? | ||||||||||
| Using the intercept coefficient and only the significant variables, what is the equation? | ||||||||||
| Salary = | ||||||||||
| d. | Is gender a significant factor in salary? | |||||||||
| e. | Regardless of statistical significance, who gets paid more with all other things being equal? | |||||||||
| f. | How do we know? | |||||||||
| 3 | After considering the compa-ratio based results in the lectures and your salary based results, what else would you like to know | |||||||||
| before answering our question on equal pay? Why? | ||||||||||
| 4 | Between the lecture results and your results, what is your answer to the question | |||||||||
| of equal pay for equal work for males and females? Why? | ||||||||||
| Your findings: | ||||||||||
| The lecture's related findings: | ||||||||||
| Overall conclusion: | ||||||||||
| 5 | What does regression analysis show us about analyzing complex measures? | |||||||||