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Cluster Sampling(Chapter 6, Textbook, Barnett, V., 1991)

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Comparison of s.r. sampling with cluster sampling

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Comparison of s.r. sampling with cluster sampling

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Comparison of s.r. sampling with cluster sampling

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Comparison of s.r. sampling with cluster sampling

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Cluster means

Within-cluster variance

Cluster means

Within-cluster variance

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Example 6.1

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Example 6.1

Systematic Sampling

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Systematic sample can be viewed as a cluster sample of size m=1!

Systematic sample mean

Systematic Sampling

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Comparison of s.r. sampling with systimatic sampling

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Two ways of estimating ---

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Y

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n

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Consider

This estimator is unbiased and has variance

This estimator of population total is

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(PPS estimation)