Question

In: Statistics and Probability

10. In a hypothetical study, 1,000 patients attending an outpatient clinic were tested for diabetes using...

10. In a hypothetical study, 1,000 patients attending an outpatient clinic were tested for diabetes using the following two tests: fasting blood sugar (FBS) and glucose tolerance test (GTT). The 110 patients with a positive GTT were classified as true cases of diabetes. Of the 140 patients with a positive FBS test (FBS>= 6mmol/liter)—the screening test in this context, 106 were true cases of diabetes (i.e., 106 had a positive GTT). What is the prevalence of ‘true’ cases of diabetes in this study (to one decimal place)? (1 mark)

10b. Construct a clearly labelled 2x2 table for these data.

10c. What is the sensitivity of the FBS screening test in this study (to one decimal place)? (1 mark)

10d. What is the specificity of the FBS screening test in this study (to one decimal place)? (1 mark)

10e. What is the Positive Predictive Value (PPV) of the FBS screening test in this study (to one decimal place)? (1 mark)

10f. What is the Negative Predictive Value (NPV) of the FBS screening test in this study (to one decimal place)? (1 mark)

Solutions

Expert Solution

10a. There are 106 true cases of diabetes in this study

10b. 2x2 table for these data is :

Test results Diabetes (GTT)
Positive Negative Total
Positive 106 34 140
Negative 4 856 860
Total 110 900 1000

10c. sensitivity of the FBS screening test in this study is 96.4 and is computed based on below formula

10d. specificity of the FBS screening test in this study is 95.1 and is computed based on below formula

10e.Positive Predictive Value (PPV) of the FBS screening test in this study is 75.7 and is computed based on below formula

10f.Negative Predictive Value (NPV) of the FBS screening test in this study is 99.8 and is computed based on below formula


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