DATA LINK https umsystem instructure com courses 63265 files 10451951 download wrap 1 Variable Description Codes Values Name 1 Identification Code 1 380 ID 2 Tumor Penetration of 0 No Penetration, CAPSULE Prostatic Capsule 1 Penetration 3 Age Years AGE 4 Race 1 White, 2 Black RACE 5 Results of the Digital 1 No Nodule DPROS Rectal Exam 2 Unilobar Nodule (Left) 3 Unilobar Nodule (Right) 4 Bilobar Nodule 6 Detection of Capsular 1 No, 2 Yes DCAPS Involvement in Rectal Exam 7 Prostatic Specific mg ml PSA Antigen Value 8 Tumor Volume Obtained cm3 VOL from Ultrasound 9 Total Gleason Score 0 10 GLEASON (45pts) Now assume PSA is not normally distributed Answer question 4 using the non parametric equivalent to the test you used in question 3 Use alpha 0 01 Removed this question this is a placeholder so I did not have to change all the questions in Canvas What is the null hypothesis What is the alternative hypothesis What are the mean ranks of each group What is the test statistic What is the p value What does the p value tell us in terms of the null hypothesis What can we conclude What groups are significantly different from one another (use the adj sig column) Give the test statistic and p value to justify your answers (44pts) Another researcher wants to know Is detection of capsular involvement in the rectal exam (DCAPS) independent of tumor penetration of the prostatic capsule (CAPSULE) Output a contingency table (YES should be first row and No should be the second row, Penetration should be the first column, NO penetration should be second column) Be prepared to fill in the cells in the online enter answers portion CAPSULE should be the columns, DCAPS should be the rows By hand, calculate the odds ratio Interpret the odds ratio Calculate a 95 confidence interval around the odds ratio (you can use the worksheet for this paste proof of using the worksheet) Interpret the 95 confidence interval around the odds ratio What is the test statistic What is the p value What does the p value tell us in terms of the null hypothesis What can we conclude

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DATA LINK: https://umsystem.instructure.com/courses/63265/files/10451951/download?wrap=1 Variable Description Codes/Values Name 1 Identification Code 1 - 380 ID 2 Tumor Penetration of 0 = No Penetration, CAPSULE Prostatic Capsule

DATA LINK: https://umsystem.instructure.com/courses/63265/files/10451951/download?wrap=1

Variable Description Codes/Values Name

1 Identification Code 1 - 380 ID

2 Tumor Penetration of 0 = No Penetration, CAPSULE

Prostatic Capsule 1 = Penetration

3 Age Years AGE

4 Race 1= White, 2 = Black RACE

5 Results of the Digital 1 = No Nodule DPROS

Rectal Exam 2 = Unilobar Nodule (Left)

3 = Unilobar Nodule (Right)

4 = Bilobar Nodule

6 Detection of Capsular 1 = No, 2 = Yes DCAPS

Involvement in Rectal Exam

7 Prostatic Specific mg/ml PSA

Antigen Value

8 Tumor Volume Obtained cm3 VOL

from Ultrasound

9 Total Gleason Score 0 - 10 GLEASON

(45pts) Now assume PSA is not normally distributed. Answer question 4 using the non-parametric equivalent to the test you used in question 3. Use alpha = 0.01.
1. Removed this question - this is a placeholder so I did not have to change all the questions in Canvas
2. What is the null hypothesis?
3. What is the alternative hypothesis?
4. What are the mean ranks of each group?
5. What is the test statistic?
6. What is the p-value?
7. What does the p-value tell us in terms of the null hypothesis?
8. What can we conclude?
9. What groups are significantly different from one another (use the adj. sig. column)? Give the test statistic and p-value to justify your answers.
(44pts) Another researcher wants to know: Is detection of capsular involvement in the rectal exam (DCAPS) independent of tumor penetration of the prostatic capsule (CAPSULE)?
1. Output a contingency table (YES should be first row and No should be the second row, Penetration should be the first column, NO penetration should be second column). Be prepared to fill in the cells in the online enter answers portion. CAPSULE should be the columns, DCAPS should be the rows.
2. By hand, calculate the odds ratio.
3. Interpret the odds ratio.
4. Calculate a 95% confidence interval around the odds ratio (you can use the worksheet for this - paste proof of using the worksheet).
5. Interpret the 95% confidence interval around the odds ratio.
6. What is the test statistic?
7. What is the p-value?
8. What does the p-value tell us in terms of the null hypothesis?
9. What can we conclude?