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PSM · Biostatistics: systematic sampling
Sample itemAn outpatient register has 1200 patients and a sample of 120 is required by systematic random sampling. How is the sample chosen?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. Every 10th patient, starting from a randomly chosen number between 1 and 10
The sampling interval is N/n = 1200/120 = 10. A random start between 1 and the interval is chosen and every 10th unit after it is included. The random start preserves the element of chance, and a register arranged in an unrelated order makes the method comparable to simple random sampling.
Option by option
A. Every 10th patient, starting from a randomly chosen number between 1 and 10 (correct)
Correct. Interval 10 with a random start between 1 and 10.
B. Every 10th patient, always starting from patient number 1
A fixed start of 1 removes randomisation and is not random sampling.
C. 120 patients chosen using a random number table with no interval
Choosing numbers from a random table describes simple random sampling, not systematic sampling.
D. Ten patients from each of 120 strata
Taking units from strata describes stratified sampling and the numbers do not fit the design.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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