Systematic sampling involves ordering the population list, choosing a random starting point within the first k elements and then selecting every kth unit thereafter. This procedure is easier to implement than simple random sampling while still approximating randomness if the list has no hidden periodicity. The constant interval of selection is its hallmark. Hence, the kth selection method described in the stem is known as systematic sampling.
Option A:
In systematic sampling, the sampling interval k is determined by dividing the population size by the desired sample size. Provided that the ordering of units is not correlated with the variable of interest, this method yields a reasonably representative probability sample. These properties align closely with the description given in the question.
Option B:
Simple random sampling gives each unit an equal and independent chance of selection, usually by random numbers, but it does not use a fixed interval to pick every kth unit. Therefore, simple random sampling is not the precise term for the process mentioned.
Option C:
Cluster sampling selects intact groups such as schools or villages, not individual units at fixed intervals from a list. Its logic and implementation differ significantly from the systematic interval approach. Thus, cluster sampling is not correct here.
Option D:
Purposive sampling is a non-probability technique where the researcher deliberately selects cases judged to be most informative, without randomisation or a fixed interval rule. It does not match the ordered list and kth selection method described in the stem.
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