Question

With a population of 15 and a sample size of 3, what is the total number of samples that are possible using:

Theoretical Sampling?

Experimental Sampling?

Answer 1

Here N=15 and n=3

(a) Theoretical sampling: Theoretical sampling is process of data collection for generating theory.

Number of possible sample$\Rightarrow N^n =$ 15³=3375

(b)Experimental sampling: In experimental sampling using simple random sampling.

Suppose sample of size n is drawn from population of size N, then there will be $^{N}C_n$ possible samples.

$\therefore$ Possible number of samples = $^{N}C_n= ^{15}C_3 = \dfrac{15!}{3!\times12!}$

$\Rightarrow \dfrac{15\times14\times13}{(3\times2\times1)}=$ 455