Sampling Techniques (ISS (Statistical Services) Statistics Paper III): Questions 23 - 28 of 30

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Question number: 23

» Sampling Techniques » Simple Random Sampling With and Without Replacement

Appeared in Year: 2012

Short Answer Question▾

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Show that for a simple random sample unbiased estimate of

Question number: 24

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2012

Short Answer Question▾

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Let be the y-value of the ith unit and be corresponding selection probability,

i = 1, 2, …, N. Then, based on a sample of size n drawn with replacement, show that an unbiased estimator for population total is

Question number: 25

» Sampling Techniques » Simple Random Sampling and Systematic Sampling

Appeared in Year: 2013

Essay Question▾

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Explain circular systematic sampling. Show that minimum value of ρ is , when , where ρis intraclass correlation and is the sample mean.

Explanation

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Question number: 26

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2012

Short Answer Question▾

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Obtain an unbiased estimator of the gain due to PPSWR sampling as compared to SRSWR.

Question number: 27

» Sampling Techniques » Simple Random Sampling and Sampling With Probability Proportional to Size

Appeared in Year: 2013

Essay Question▾

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In simple random sampling without replacement (SRSWOR), the sample mean is an unbiased estimator of population mean . Obtain the variance of the estimator of the population total Y.

Explanation

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Question number: 28

» Sampling Techniques » Probability Sampling or Random Sampling

Appeared in Year: 2013

Essay Question▾

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Give the names of various procedures for selecting a sample using probability proportional to size (PPS) scheme. Obtain an unbiased estimator of the population mean under PPS.

Explanation

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