problem 1) Differentiate between linear and circular systematic sampling.

problem 2) Describe gain due to stratification.

problem 3) describe PPS sampling with replacement.

problem 4) Describe Murthy’s unordered estimator.

problem 5) Describe the applications of cluster sampling to real life problems.

problem 6) What is optimum cluster size? How is it estimated?

problem 7) Describe the concept of repeated surveys.

problem 8) What is double sampling? prepare down its important features?

problem 9) describe the observational errors in sample surveys.

problem 10) What are non-response errors? How are they controlled?

problem 11)a)  describe the procedure of stratified sampling and highlight its importance.

b)  In the usual notations prove that

Vst ≤ Vsys ≤ Vsrs

problem 12)a) Describe Sen Mrdzyno scheme of sampling.

problem 13)a) Describe two-stage cluster sampling and state its advantages.

b) Obtain the unbiased estimator of its population mean and derive its variance.

problem 14)a) describe the regression estimator under double sampling.

b) Illustrate that the ratio estimator is BLUE stating the underlying conditions.

problem 15)a) What are non-sampling errors? What are its sources? How are they controlled?

b) Describe the role of inter-penetrating subsamples in sample surveys.