NETMaths
Part CCSIR NET December 2023

SRS, stratified and systematic sampling

Consider a population of 3 units having values 2, 4 and 6. A simple random sample (without replacement) of 2 units is drawn. Let M be the sample mean. Which of the following statements are true?

  1. A.E(M) = 4
  2. B.
  3. C.
  4. D.Var(M) = 1

Solution

M takes the values 3, 4, 5 with probability 1/3 each: .

Related counterexample: Systematic sampling is always at least as efficient as SRS

More on this topic

From Sampling and Design of ExperimentsSRS, stratified and systematic sampling

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