Answer to Question #118420 in Statistics and Probability for simran

Question

A sample of size 3 is to be selected from a population of 10 households. List all the
possible samples by:
i) Linear Systematic Sampling
ii) Circular Systematic Sampling

Also compare the two

Answer 1

All the possible samples

I) Linear Systematic Sampling

Sampling interval (k) =$\frac {N} {n}$ =$\frac {10}{3}$ =3

=(1,4, 7),(2,5,8),(3,6,9)

ii) Circular Systematic Sampling

Taking k=4,

(1,5,9),(2, 6,10),(3,7,1)

In linear Systematic Sampling, the starting and ending points are distinct whereas in a circular Systematic Sampling, the starting and ending point are not distinct.