In: Statistics and Probability
A simple random sample (SRS) is the simplest form of probability sample. S.R.S. is that “each and every unit of the population has equal and independent probabilities of being included in the sample”. The sample units are selected one by one from the population
Strengths and weakness of S.R.S:
1. Since the sample units are selected at random
giving each unit an equal chance of selected, the elements of
subjectivity or personal biases completely eliminated. As such a
simple random sample is more representative of the population as
compound to the judgment or purposive sampling.
2. S.R.S is very simple and effective method of drawing
samples provided i) Population is not very large ii) The sample
size is not very small iii) the population under consideration is
not heterogeneous.
3. All the test of significance is based on the concept
of simple random sampling.
4. This method is economical as it save time, money and
labor.
5. One of the major dis-advantages of S.R.S. is that
all members of the population must be known and be serially
numbered.
6. A S.R.S. may result in the selection of the sampling
units which are widely spread geographically and in such a case the
cost of collecting the data may be much in term of time and
money.
7. For given precision S.R.S usually requires larger
sample size as compared to St.R.S.
8. This requires a complete list of the population but
such up-to-date lists are not available in many inquiries.
9. If the size of the sample is small, then it will not
be a representative of the population.