Simple random sampling is a type of probability
sampling where observations are randomly selected from a population
with a known probability or sampling fraction.
Typically, one begins with a list of N
observations that are in the entire population from which one wants to
extract a simple random sample (e.g., a list of registered voters); one
can then generate k random case
numbers (without replacement) in the range from 1
to N, and select the respective
cases into the final sample (with a sampling fraction or known selection
probability of k/N).
Refer to, for example, Kish (1965) for a detailed discussion of the
advantages and characteristics of probability samples and EPSEM
samples. In STATISTICA, you
can create simple random probability (EPSEM) and stratified
random samples using the Random Sampling