5 MIM5112 - Homework 3 2. How do sensitivity and specificity different from tive and negative predictive values terms of their characteristics and applicable conditions? 4 points Due: Tuesday, Nov 3 by 11:59 PM. Grade out of 50 worth 10 points Please answer all the following questions and explain/show all your work 3. Define and compare the source populations and verified sample. Give an example parts 1. 8 points Results of Spleen Scan Number of Patients Totals Splenomegaly No Splenomegaly Predictive Value Positive 60 8 :- 68 Negative 15 50 65 4. These statements are either true or false. Please briefly explain. 3 point a) 90% of the positive results of a test are verified as diseased people. So the posts probability of a patient ven a positive result is 0.9. b) Hayes theorem uses new information to calculate the posterior probabilmente pre-test probability c) Predictive value calculated from population A can be generalized to population regardless of the disease prevalence in these two populations. d) The predictive value and the test performance are the same in our population and verified sample e) The sensitivity and specificity of a test is identical in any peoulation nater what ) If sensitivity is equal to specificity, then the test is notv t valid al The ROC curve is a plot of PCR Ino Dl (on the vertical axis) and PR Don the horizontal axis h) There needs to be a more rigorous (or conservative) cutoff point for an indices compared to a gold standard test. Totals 75 58 133 TP and TN Rate a 1a) Label the cells in the table that represents: True Positive, False Negative, True Negative False Positive, Positive Predictive Value. , b 1b) Calculate the True Positive Rate, True Negative Rate, False Positive Rate, False Negative Rate, PV+, PV 5. Consider 100 patients population through an illustrative study of a hypothetic tento type 2 diabetes. 8 points c Increase the specificity by 10%. What impact does it have on the other calculations? d. Increase the sensitivity by 10%. What impact does it have on the other values? 5 MIM5112 - Homework 3 2. How do sensitivity and specificity different from tive and negative predictive values terms of their characteristics and applicable conditions? 4 points Due: Tuesday, Nov 3 by 11:59 PM. Grade out of 50 worth 10 points Please answer all the following questions and explain/show all your work 3. Define and compare the source populations and verified sample. Give an example parts 1. 8 points Results of Spleen Scan Number of Patients Totals Splenomegaly No Splenomegaly Predictive Value Positive 60 8 :- 68 Negative 15 50 65 4. These statements are either true or false. Please briefly explain. 3 point a) 90% of the positive results of a test are verified as diseased people. So the posts probability of a patient ven a positive result is 0.9. b) Hayes theorem uses new information to calculate the posterior probabilmente pre-test probability c) Predictive value calculated from population A can be generalized to population regardless of the disease prevalence in these two populations. d) The predictive value and the test performance are the same in our population and verified sample e) The sensitivity and specificity of a test is identical in any peoulation nater what ) If sensitivity is equal to specificity, then the test is notv t valid al The ROC curve is a plot of PCR Ino Dl (on the vertical axis) and PR Don the horizontal axis h) There needs to be a more rigorous (or conservative) cutoff point for an indices compared to a gold standard test. Totals 75 58 133 TP and TN Rate a 1a) Label the cells in the table that represents: True Positive, False Negative, True Negative False Positive, Positive Predictive Value. , b 1b) Calculate the True Positive Rate, True Negative Rate, False Positive Rate, False Negative Rate, PV+, PV 5. Consider 100 patients population through an illustrative study of a hypothetic tento type 2 diabetes. 8 points c Increase the specificity by 10%. What impact does it have on the other calculations? d. Increase the sensitivity by 10%. What impact does it have on the other values