DeVry MATH533 Week 1 Discussion
Descriptive Stats: ETHICS and Workplace Applications (graded)
Statistics in Action Case "Factors That Influence a Doctor to Refuse Ethics Consultation"
Before getting into analyzing the data, let’s consider the question of the pros and cons of doctors using ethics consultations with doctors, and other ethicists, trained to think and provide advice on ethical issues in healthcare. Take a look on the Internet, or in the Keller Graduate School online library, to find an article or articles on this issue. What is your view? Do you have any personal experiences you are comfortable sharing about medical ethical issues you and your family and/or friends have confronted?
DeVry MATH533 Week 2 Discussion
Case: Let's Make a Deal (graded)
A number of years ago, there was a popular television game show called Let's Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and then would be offered the opportunity to risk that prize to win better ones.
Suppose you are a contestant on this show. Monty has just given you a free trip worth $500 to a locale that is of little interest to you. He now offers you a trade: Give up the trip in exchange for a gamble. On the stage are three curtains, A, B, and C. Behind one of them is a brand-new car worth $45,000. Behind the other two curtains, the stage is empty.
You decide to gamble and give up the trip. (The trip is no longer an option for you.) You must now select one of the curtains. Suppose you select Curtain A.
In an attempt to make things more interesting, Monty then exposes an empty stage by opening Curtain C (he knows that there is nothing behind Curtain C). He then asks you if you want to keep Curtain A, or switch to Curtain B.
What would you do?
Hint: Questions to consider are: What is the probability of winning and the probability of losing the car prior to opening Curtain C? What is the probability of winning and the probability of losing the car after Curtain C is opened? What is your best strategy?
DeVry MATH533 Week 3 Discussion
Ethics in Statistics: Readings and Discussion (graded)
1. Why is it important to study ethics in statistics? Have you seen statistics misused? Without naming specific companies or people, can you provide examples?
2. Please find (on the Internet or from the Keller library) and post an article regarding ethics and statistics. Please attach the article, or provide its link in your post, together with a brief summary of the article in your own words. Be sure to use quotation marks around any words taken directly from the article (not to do so constitutes “plagiarism”). Then, in a separate post, review one or more articles posted by other students and provide the other student or students with your reflections (don’t just agree or disagree).
DeVry MATH533 Week 4 Discussion
Case: Statistics in Action: Medicare Fraud Investigations (graded)
Read the selection in your textbook pertaining to the Case: Statistics in Action: Medicare Fraud Investigations; load the data set for the case, MCFRAUD, into Minitab; answer the question about the case in the Discussion area; and likewise read and respond to the follow-on selections in the textbook for the case in the Statistics in Action Revisited.
What is a point estimate of the mean overpayment?
DeVry MATH533 Week 5 Discussion
Case: Statistics in Action: Diary of a Kleenex User (graded)
Read the selection in your text book pertaining to the Case: Statistics in Action: Diary of a Kleenex® User; load the data set for the case, TISSUES, into Minitab; answer the question about the case in the Discussion area; and likewise read and respond to the follow-on selections in the textbook for the case in the Statistics in Action Revisited.
How would you briefly summarize the case, and the data that was generated?
DeVry MATH533 Week 6 Discussion
Case: Statistics in Action: Legal Advertising—Does It Pay? (graded)
Read the Case: Statistics In Action: Legal Advertising—Does It Pay?, and answer the following questions. (The case is included in your textbook, Chapter 10.) The data set for the case study is LEGALADV, and it is available in your textbook resources, so you don't have to enter the data!
Summarize what the case is about, and what the variables represent.
DeVry MATH533 Week 7 Discussion
Case: Statistics in Action: Bid-Rigging in the Highway Construction Industry (graded)
Read the Case: Statistics in Action: Bid-Rigging in the Highway Construction Industry, in Chapter 11 of your textbook, and answer the following questions. The data set, FLAG, for the case study is available in the publisher’s website, so you don’t need to enter the data into Minitab by hand.
What is this case about? Describe the key variables.
PROJECT PART A: Exploratory Data Analysis
Submission: The report including all relevant graphs and numerical analysis along with interpretations.
Format for report:
1. Brief Introduction
2. Discuss your 1st individual variable, using graphical, numerical summary and interpretation
3. Discuss your 2nd individual variable, using graphical, numerical summary and interpretation
4. Discuss your 3rd individual variable, using graphical, numerical summary and interpretation
5. Discuss your 1st pairing of variables, using graphical, numerical summary and interpretation
6. Discuss your 2nd pairing of variables, using graphical, numerical summary and interpretation
7. Discuss your 3rd pairing of variables, using graphical, numerical summary and interpretation
Project Part B: Hypothesis Testing and Confidence Intervals
Your Instructor will provide you with four manager speculations, a.-d., in the Doc Sharing file.
1. Using the sample data, perform the hypothesis test for each of the above situations in order to see if there is evidence to support your manager’s belief in each case a.-d. In each case use the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book, using the ? provided by your Instructor in the Doc Sharing materials, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.
2. Follow this up with computing confidence intervals (the required confidence level will be provided by your Instructor) for each of the variables described in a.-d., and again interpreting these intervals.
3. Write a report to your manager about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear explanations and interpretations are critical.
4. All DeVry University policies are in effect, including the plagiarism policy.
5. Project Part B report is due by the end of Week 6.
6. Project Part B is worth 100 total points. See grading rubric below.
Submission: The report from part 3 + all of the relevant work done in the hypothesis testing (including Minitab) in 1., and the confidence intervals (Minitab) in 2. as an appendix.
Format for report:
1. Summary Report (about 1 paragraph on each of the speculations a.-d.)
2. Appendix with all of the steps in hypothesis testing (the format of the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book) for each speculation a.-d. as well as the confidence intervals, the p-values, and including all Minitab output
Project Part C: Regression and Correlation Analysis
Your Instructor will specify for you the dependent variable and the independent variables in your Case and data. Using MINITAB perform the regression and correlation analysis for the data by answering the following.
1. Generate a scatterplot for the specified dependent variable and the specified independent variable, including the graph of the "best fit" line. Interpret.
2. Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.
3. Determine the coefficient of correlation. Interpret.
4. Determine the coefficient of determination. Interpret.
5. Test the utility of this regression model (use a two tail test with the ? provided by your Instructor). Interpret your results, including the p-value.
6. Based on your findings in 1-5, what is your opinion about using the designated independent variable to predict the designated dependent variable? Explain.
7. Compute the confidence interval for beta-1 (the population slope), using the confidence level specified by your Instructor. Interpret this interval.
8. Using an interval, estimate the average for the dependent variable for a selected value of the independent variable (to be provided by your Instructor). Interpret this interval.
9. Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable (to be provided by your Instructor). Interpret this interval.
10. What can we say about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain your answer.
In an attempt to improve the model, we will attempt to do a multiple regression model predicting the dependent variable based on all of the independent variables.
1. Using MINITAB run the multiple regression analysis using the designated dependent and independent variables. State the equation for this multiple regression model.
2. Perform the Global Test for Utility (F-Test). Explain your conclusion.
3. Perform the t-test on each independent variable. Explain your conclusions and clearly state how you should proceed. In particular, which independent variables should we keep and which should be discarded. If any independent variables are to be discarded, re-run the multiple regression, including only the significant independent variables, and include the final Minitab output, with interpretation.
4. Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.
5. All DeVry University policies are in effect, including the plagiarism policy.
6. Project Part C report is due by the end of Week 7.
7. Project Part C is worth 100 total points. See grading rubric below.
Summarize your results from 1-14 in a report that is three pages or less in length and explains and interprets the results in ways that are understandable to someone who does not know statistics.
Submission: The summary report + all of the work done in 1-14 (Minitab Output + interpretations) as an appendix.
Format for report:
1. Summary Report
2. Points 1-14 addressed with appropriate output, graphs and interpretations. Be sure to number each point 1-14.