Random Sampling Methods



There are different methods used to draw a sample from a given population. These methods are broadly classified into two categories namely –
1.      Probability Sampling
2.      Non-Probability Sampling

Probability sampling is a scientific method of selecting the sample units. Probability sampling will help the researcher to find out the chances of sampling units being included in the sample. Simple Random sampling, systematic sampling, Stratified Sampling, cluster sampling and multi-stage sampling are popularly used methods of probability sampling.
Non-probability sampling is based on the personal judgement of the researcher. In this method a desired number of sample units are selected based on the object of inquiry so that the important items representing the true characteristics of the population are included in the sample. Purposive sampling, Quota sample and convenience sampling are the methods of non probability sampling.

Probability Sampling
I.       Simple Random Sampling:
                                                  

            In this method, each and every unit of the population has an equal chance of being selected in the sample. Selection of a unit is independent of other units in the sample.
            A number of techniques are used to select a random sample. Lottery method is the simplest method where all the units are numbered on identical slips of paper. All the sips are folded and mixed in a drum thoroughly. Required numbers of slips are drawn from the drum blindfold.
           
Random sample can also be selected by constructing lists of all the units by assigning numbers 1,2,3 … and selecting the units from the random number tables constructed for the purpose.  
            Another method of selecting the random sample is selecting from the sequential lists. In this method the names are arranged serially according to alphabetical, geographical or in serial order. Then out of the list every 10th or any number of cases may be selected.


Merits and Demerits of Simple Random Sampling:

The advantages of this method are –
1.      It is a more scientific method and eliminates personal bias of the researcher
2.      No knowledge of the characteristics of the population is required
3.      Sample drawn is more representative of the universe.
4.      Accurate results can be expected
5.      Very simple to follow and it saves time, money and labour.
The random sampling method has certain difficulties and limitations. These are –
1.      This method requires complete lists of the population. For some types of enquiries, lists may not be available. In such cases this method cannot be used.
2.      If the data is to be collected from a wider geographical area, then this method is difficult to use as it consumes more time and requires lot of money.
3.      If the sample size is too small, then it may not be representative of the population.

2.    Stratified Random Sampling
            When the population is heterogeneous then stratified sampling can be used to obtain more accurate results. Stratification means division of the universe into groups based on geographical, sociological or economic characteristics.
Process of Stratification         Stratified Random Sampling involves the following steps.
o   The universe is first divided into sub-groups or strata and the required units are selected at random from each sub-group
o   The stratification should be conducted in such a way that the items in each group or strata should be similar to each other but they vary significantly from items in other groups.
o   The size of each group or stratum must be large enough so that it is possible to select the sample units using random sampling.
o   Size of the sample from each stratum can either be proportional or disproportional to the size of each stratum.
Merits and Demerits of Stratified Random Sampling:
This method has several advantages. These are –
o   If the stratification is done correctly, then even a small number of units will form a representative sample
o   In this method all the groups are equally represented and no one group is left unrepresented
o   Bias can be controlled to a great extent in this method.  Greater accuracy can be achieved.
o   It saves time and cost of data collection as the sample size can be less.
The disadvantages of this method are –
o   Dividing the population into homogeneous groups is a difficult task
o   If the strata are overlapping or disproportionate, then the sample may not be representative of the population
o   If the stratification is faulty then it is not possible to correct the sampling errors.

3.    Systematic Sampling:    
In this method, the sample is selected from a list prepared in a systematic arrangement either on the basis of alphabetic order or on house number or any other method. In this method, first the entire population is arranged in serial numbers 1 to N. Then the size of the sample should be decided. By dividing the population by the size of the sample, the first sample unit is obtained. Using the same interval, any number of sampling items can be selected. For example, if the population is 1000 and the sample size is 250 then the first sample unit is obtained by dividing 1000/250=4. Then starting from 4 and leaving the same interval, items numbered 4-8-12-16-20-24…. are selected in the sample.
Merits and Demerits of Systematic Sampling:
Merits
·         Easy to follow and checking can be done quickly.
·         Sample will be representative due to randomness in selection.
Demerits
·         This method can be used only when complete and uptodate sample frame is available and if the   units are randomly arranged.
·         If the lists are faulty then it will affect the sample.

4.      Cluster Sampling: 

       In this method the total population is divided into some sub-divisions which are termed as clusters using simple random method. All the units in each cluster are surveyed. The cluster should be as small as possible. When the cluster is small will be easy to study and it saves time and money. The number of units in each cluster should be the same.
       If the clusters are many, then the probability and representativeness of the sample is affected. The results will be less accurate if the number of sampling units in each cluster are not same.

5.      Multi-Stage Sampling: 

       This method is generally used in selecting a sample from a very large area. Multi-stage sampling refers to the technique which is carried out in various stages. The entire population is regarded to consist of number of primary units. The primary units are again composed of secondary units which further consist of third stage units and so on until the researcher ultimately obtains the desired sample. At each stage random sampling techniques are used. The sample size may be proportional or disproportional.
       This method is particularly useful in surveys of under developed areas where up to date sample frame is not available. However, errors are likely to be large in this method compared to other methods.