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Discussion

Systematic sampling implies that the first item is selected randomly and

  • A.the other items are selected by lottery method
  • B.the other items are selected purposively
  • C.then every \(k^{th}\) item is selected
  • D.the other items are selected at the will of the investigator

Answer: C

In systematic sampling the first item is selected at random and then every kth item is selected, where k is the sampling interval, the population size divided by the sample size. For instance, with an interval of 10 and a random start at 7, the sample is items 7, 17, 27 and so on. Selecting the rest by lottery is simple random sampling, selecting them purposively or at the investigator's will is judgement sampling, and neither follows a fixed interval.

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