Math 533, course project part A to part C

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Course Project: Hospital Stays, Impact of Education, Health Data

Introduction | PROJECT PART A: Exploratory Data Analysis | Project Part A: Grading Rubric | Project Part B: Hypothesis Testing and Confidence Intervals | Project Part B: Grading Rubric | Project Part C: Regression and Correlation Analysis | Project Part C: Grading Rubric

Introduction Back to Top

In this case, 40 individuals visited the hospital looking for information and education regarding their diabetes. Since diabetes relates to the body’s ability to use glucose, their glucose level was measured. These patience took a knowledge test about diabetes before and after being given some educational materials. Satisfaction with their overall visit was also measured through a survey. The data appear below for your reference. The Excel spreadsheet with these data can be found in Doc Sharing and should be opened in Minitab to complete the analyses required in each part of this project.

Hosp_Stay

Hosp_Satisfaction

Diab_Pretest

Diab_Posttest

Glucose

2

VeryDissat

34

39

122

3

SWDissat

33

30

116

1

SWSat

29

22

108

1

SWSat

17

14

63

7

SWDissat

69

60

74

7

VerySat

69

70

84

8

SWDissat

81

82

67

8

VerySat

81

88

57

9

SWSat

52

100

231

4

SWDissat

45

48

93

1

SWSat

38

28

76

1

VerySat

27

33

163

6

VeryDissat

45

54

217

8

SWDissat

58

71

112

7

SWDissat

68

84

107

6

SWDissat

48

49

95

1

VerySat

9

15

104

8

VerySat

50

51

63

6

SWDissat

65

51

189

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9/24/2014 6:08 AM

MATH399 Course Home Course Project (NOV14) https://devry.equella.ecollege.com/file/cd2c455d-ffcf-411c-ae8d-2c5175...

6

SWDissat

64

78

53

1

VerySat

25

30

96

5

VerySat

50

45

102

2

VeryDissat

47

41

142

2

VeryDissat

24

18

133

3

VerySat

35

30

88

1

SWDissat

29

31

87

4

SWDissat

39

33

161

4

SWDissat

53

42

104

5

VeryDissat

57

49

92

4

SWSat

50

50

168

8

VeryDissat

64

100

72

6

VeryDissat

90

95

100

8

SWDissat

52

63

63

9

SWSat

52

64

132

9

VerySat

67

77

171

8

SWSat

68

68

163

5

SWSat

67

60

84

7

SWSat

44

53

102

7

VeryDissat

57

51

130

3

SWSat

58

50

71

The variables are

  1. Hospital stay – number of days in hospital

  2. Hospital satisfaction – level of satisfaction with hospital services during stay (very highly satisfied, highly

    satisfied, somewhat dissatisfied, and very dissatisfied)

  3. Diabetes Pretest – score on diabetes knowledge test (must score 95 or higher to leave)

  4. Diabetes Posttest – score on diabetes knowledge test after receiving educational material created for

    this study

  5. Glucose – blood glucose in mg/dL.

The data are available in Doc Sharing Course Project Data Set as an Excel file. You are to copy and paste the data set into a Minitab Worksheet.

PROJECT PART A: Exploratory Data Analysis Back to Top

Open the file MATH533_Course_Project_Data_HOSPITAL.xlsx from Doc Sharing.
Summarize the data for each of the five variables. For each variable, find the mean, median, variance, and standard deviation. Use Minitab as appropriate, and explain what the results mean. These calculations may not be possible for each variable. If you cannot calculate any or all of these for a specific variable, please note that and state why.

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9/24/2014 6:08 AM

MATH399 Course Home Course Project (NOV14) https://devry.equella.ecollege.com/file/cd2c455d-ffcf-411c-ae8d-2c5175...

Analyze the connections or relationships between two variables. There are ten pairings possible here (Hospital stay and hospital satisfaction, hospital stay and diabetes pretest, hospital stay and diabetes posttest, hospital stay and glucose, hospital satisfaction and diabetes pretest, hospital satisfaction and diabetes posttest, hospital satisfaction and glucose, diabetes pretest and diabetes posttest, diabetes pretest and glucose, and diabetes posttest and glucose ). Choose two of these pairings and find the correlation coefficient and show the scatter plot. Explain what you see. Some variables show clear relationships, while others do not.

Prepare your report in Microsoft Word (or some other word processing package), integrating your graphs and tables with text explanations and interpretations. Be sure that you have graphical and numerical back up for your explanations and interpretations. Be selective in what you include in the report. You should not generate a 20 page report on every variable and every possible relationship. Rather what you should do is to highlight what you see for the individual and two or three sentences of interpretation. For the two pairings you selected, identify and report your results using graphical and numerical summary (as appropriate), with interpretations.



Project Part B: Hypothesis Testing and Confidence Intervals Back to Top Your manager has speculated the following:

  1. the average (mean) level of glucose is less than 130

  2. the true population proportion of number somewhat satisfied with their hospital stay is greater than 28%,

  3. the average (mean) score on the diabetes pretest is greater than 52.

  4. the average (mean) score on the diabetes posttest ONLY among those that are "somewhat satisfied" is

    less than 75.

    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 textbook with α = .05, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.

    2. Follow this up with computing 95% confidence intervals for Glucose and Diabetes Posttest, 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.

All DeVry University policies are in effect, including the plagiarism policy.

Project Part B report is due by the end of Week 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 textbook) for each speculation a.-d. as well as the confidence intervals, and including all Minitab output


Project Part C: Regression and Correlation Analysis Back to Top Using Minitab perform the regression and correlation analysis for the data on diabetes posttest (Y), the

dependent variable, and diabetes pretest (X), the independent variable, by answering the following.

  1. Generate a scatterplot for diabetes posttest (Y) vs. diabetes pretest (X) including the graph of the "best fit" line. Interpret.

  2. Determine the equation of the "best fit" line, which describes the relationship between diabetes posttest and diabetes pretest.

  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 α =.05). Interpret your results, including

    the p-value.

  6. Based on your findings in 1-5, what is your opinion about using diabetes pretest to predict diabetes

    postest? Explain.

  7. Compute the 95% confidence interval for beta-1 (the population slope). Interpret this interval. In an

    attempt to improve the model, we attempt to do a multiple regression model predicting diabetes posttest

    based on diabetes pretest and glucose.

  8. Using Minitab, run the multiple regression analysis using the variables diabetes pretest and glucose to

    predict diabetes posttest. State the equation for this multiple regression model.

  9. Perform the Global Test for Utility (F-Test). Explain your conclusion.

  10. 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.

  11. Is this multiple regression model better than the linear model that we generated in parts 1-7? Explain.

All DeVry University policies are in effect, including the plagiarism policy.

Project Part C report is due by the end of Week 7.

Project Part C is worth 100 total points. See grading rubric below.

Summarize your results from 1-11 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.

5 of 6 9/24/2014 6:08 AM

MATH399 Course Home Course Project (NOV14) https://devry.equella.ecollege.com/file/cd2c455d-ffcf-411c-ae8d-2c5175...

Submission: The summary report + all of the work done in 1-11 (Minitab Output + interpretations) as an appendix.

Format:

A. Summary Report
B. Points 1-11 addressed with appropriate output, graphs and interpretations. Be sure to number each

point 1-11.

Project Part C: Grading Rubric Back to Top

Category

Points

%

Description

Questions 1 - 9 and 11, are worth 6.5 pts. each

65

65

addressed with appropriate output, graphs and interpretations

Question 10

15

15

addressed with appropriate output, graphs and interpretations

Summary

20

20

writing, grammar, clarity, logic, and cohesiveness

Total

100

100

A quality paper will meet or exceed all of the above requirements.

Back to Top 


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