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The bookUnit 4 · Sampling and Design of Experiments82 / 83

SRS, stratified and systematic sampling

Why this is asked: Know when SRSWOR beats SRSWR (the finite population correction), and that proportional allocation beats SRS while Neyman allocation beats proportional.

Sampling designs

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Why stratification helps and systematic sampling can betray youinteractive

The variance decomposition behind stratification, and the periodicity that ruins the systematic scheme.

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The trap here

“Systematic sampling is always at least as efficient as SRS” — false

A population with a periodic pattern of period k, sampled every k-th unit

Every sampled unit falls at the same phase, so the sample can be maximally unrepresentative.

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Check yourself — select all that apply

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?

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Open this in the full syllabus view · Unit 4