SIMPLE RANDOM SAMPLING:
In this type of sampling, the chance of any one element of the parent pop being included in the sample is the same as for any other element. By extension, it follows that, in simple random sampling, the chance of any one sample appearing is the same as for any other. There exists quite a lot of misconception regarding the concept of random sampling:
Many a time, haphazard selection is considered to be equivalent to simple random sampling.
For example, a market research interviewer may select women shoppers to find their attitude to brand X of a product by stopping one and then another as they pass along a busy shopping area --- and he may think that he has accomplished simple random sampling!
Actually, there is a strong possibility of bias as the interviewer may tend to ask his questions of young attractive women rather than older housewives, or he may stop women who have packets of brand X prominently on show in their shopping bags!.
In this example, there is no suggestion of INTENTIONAL bias! From experience, it is known that the human being is a poor random selector --- one who is very subject to bias.
Fundamental psychological traits prevent complete objectivity, and no amount of training or conscious effort can eradicate them. As stated earlier, random sampling is that in which population units are selected by the lottery method.
Statistics is the numerical statement of facts capable of analysis and interpretation. Science of statistics is the study of statistical principles and methods applied in collecting, presenting, analysis and interpretating the numerical data in any field of inquiry. Science of facts and figures is called statistics.
The sampling in which samples are selected at random is called simple random sampling. A simple random sample is selected in such a way that each possible sample of a given size has the same probability of selection.