Sampling according to Slovin's formula if the population size is large

Sampling according to Slovin's formula if the population size is large


When selecting a sample when the population size is large. For example country population, state population, or village population. Such a large population cannot be included directly in the research. So a group representing this population is called a sample. We intend to include this sample in research, but we face many difficulties in selecting a sample from a large population. Primarily some people visit 5%, 10% of the sample population. Or they determine the sample size from the population as a percentage. But even if this method is used, it is necessary to select the sample in a scientific manner. For this, we need to select the sample using some statistical techniques. If we select a sample based on these statistical techniques, the sample is considered to be representative of the population. For this, we will see how to use Slovin's formula

 Example -

18000 farmers are members of Sahyadri Agro Farm. How many farmers will be included in the sample? Based on Slovin's formula method, the sample selection is done as follows.

 

Slovin's formula - n = N / (1+Ne2)

 

n: sample size required

N: population size

e: Acceptable margin of error (0.05)

n = N / (1+Ne2)

n = 18000 / (1+18000(0.05)2)

n = 18000 / (18001(0.0025)

n = 18000 / 45.0025

n = 399.98

n = 400

 From this out of 18000 farmers in Sahyadri Agro Farm 400 farmers will be selected as samples.

Mr. Dnyanesh Dilip Mahatekar
Ph.D. Students
S.M.B.S.T. College, Sangamner
Affiliated by Pune University, Pune.
State - Maharashtra, Country - India


+91- 9822751955

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