State whether the following statements are True or False. Give reason

Question

State whether the following statements are True or False. Give reason in support of your answer:

(a) The value of sensitivity of the following results of a diagnostic test is 0.85.

Disease	Test result		Total
	+	–
Present	170	30	200
Absent	20	280	300

(b) For the following cohort study, the relative risk for the lung cancer among smokers is 3.5.

	Lung Cancer	No Lung Cancer	Total
Smokers	100	1220	1320
Non-smokers	50	2260	2310

(c) The logit link function is $log[-log(1-\Pi )]$ .
(d) We define three indicator/dummy variables for a regressor variable with three categories.
(e) Left censoring occurs whenever the exact time of occurrence of an event is not known.

23 Mar 2023

Answer :

Word Count : 310

(a) True.

Sensitivity is the proportion of individuals with the disease who test positive for it. In this case, the number of true positives is 170, and the number of false negatives is 30, so the sensitivity is (170/(170+30)) = 0.85.

(b) True.

Relative risk is the ratio of the incidence rate of the disease in the exposed group (smokers) to that ___ _____ _____ ___ ___ _________ ________.
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Risk Factor	Parameter Estimate	SE
Age	0.150	0.010
Gender	0.450	0.150
Systolic Blood Pressure	0.015	0.008
Smoking	0.650	0.170
Total Serum Cholesterol	0.002	0.004
Diabetes	-0.350	0.250

Workout (in minutes)	Severity of diabetes status
	Low	Moderate	High
0 −15	06	27	19
15 to 30	08	36	17
30 to 45	21	45	33
≥ 45	14	18	06