Calculate false discovery rate and false omission rates

Assignment Help Applied Statistics

Reference no: EM132291787

Assignment -

Read all questions carefully and submit your solution in a word file with R outputs.

Question 1 -

a) Discuss what are type I and type II errors.

b) A psychiatrist devised a short screening test for depression. An independent blind comparison was made with a gold standard for diagnosis of depression among 250 psychiatric outpatients. Among the 75 outpatients found to be depressed according to the gold standard, 40 patients were positive for the test. Among 175 patients found not to be depressed according to the gold standard, 38 patients were found to be positive for the test. (I prefer to use R to compute the followings)

I. Fill in the blanks of the following table:

		Actual Status
		Depressed	Not depressed
Screening (Decision)	Positive	?	?
Screening (Decision)	Negative	?	?

II. Calculate and interpret the sensitivity and specificity of this test.

III. What are the positive and negative predictive values? How do you interpret them?

IV. Calculate false discovery rate and false omission rates and interpret them.

V. What is the level of significance of this test?

VI. What is the power of this test? What is type II error rate?

VII. The actual status and diagnosis table in part I can be converted to hypothesis based table (below). Fill in the blanks of the following table:

		H₀
		True	False
Decision	Fail to eject	?	?
Decision	Reject	?	?

VIII. State the null and alternative hypotheses?

Question 2 -

Use the below information to calculate the followings:

		Diastolic Hypertension
		Yes	No
Screening (Decision)	Positive	36	25
Screening (Decision)	Negative	9	230

a) True positive rate

b) True negative rate

c) False positive rate

d) False negative rate

e) PPV and NPV

f) FDR and FOR

g) Sensitivity, specificity, and power

h) Transfer the above table into hypothesis based table (similar to Q.1 (b) part VII).

Reference no: EM132291787

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