Sampling is a process of learning about the population on the basis of samples drawn from it.
There are four basic principles of sample survey. They are:
Law of statistical regularity
Principle of inertia
Principle of optimization
Principle of validity
The deviation between the obtained values of population parameter and its observed values is known as errors.
There are two types of errors.
For sampling with replacement, the standard error is calculated using the formula
For sampling without replacement, the standard error is calculated using the formula
s is the standard deviation of the statistic
n is sample size
N is the population size
The number of samples that can be drawn in case of sampling with replacement is Nn
The number of samples that can be drawn in case of sampling without replacement is NCn
There are three different methods of sampling. They are:
Probability sampling methods
Types of probability sampling methods:
Simple random sampling
Non probabilistic or non-random sampling methods
Some of the important methods are as follows:
Statistical inference is that branch of statistics which deals with the theory and techniques of making decisions regarding the statistical nature of the population using samples drawn from the population.
Statistical inference has two branches. They are:
Theory of estimation
Testing of hypotheses
There are two types of estimation. They are:
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