3 Problems on Introduction to Survey Sampling - Assignment 2 | ST 432, Assignments of Survey Sampling Techniques

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ST 432 (Arroway)

Homework 2 (10 points) due Fri. 1/26/

General Notes: Homework will be due at the beginning of class, unless I notify you otherwise. Please hand in a typed, stapled assignment. Your homework should be not only legible, but well-organized and of a semi-professional appearance. It is in your best interest to keep an electronic copy of all assignments you submit.

Refer to the population and sampling designs given in Chapter 2, exercise 1, p. 50-51.

1. For each sampling design, give the inclusion probabilities, π 1 , π 2 , …, π 6. Also,

give the sum of the inclusion probabilities for each design: (^) i i

π

∈

∑

U

.

2. For each sampling design, indicate whether it is a. A fixed size sampling design. b. A probability sampling design.
3. For the given population, propose a sampling design meeting each of the following sets of criteria. You may not use either of the 2 designs given in the exercise. Give a brief statement of justification for each design you propose. a. A design which is not a fixed size sampling design, but is a probability sampling design. b. A design which is a fixed size sampling design, but not a probability sampling design. c. A design which is neither a fixed size sampling design, nor a probability sampling design. d. A design which is both a fixed size sampling design and a probability sampling design.