How To Calculate Sample Size Using Taro Yamani Formula

How To Calculate Sample Size Using Taro Yamani Formula

The Taro Yamani formula is a very popular formula used in writing academic research works. When given a research work that involves a large number of people i.e population, it is usually impossible to meet one on one with all of them. This gives rise to the need of selecting a sample size that would represent the whole population. The Taro Yamani formula is the most appropriate formula to use. Unfortunately, many people do not know How To Calculate Sample Size Using Taro Yamani Formula.

We will give you a detailed but easy to comprehend guide on How To Calculate Sample Size Using Taro Yamani Formula. The Taro Yamani formula is quite easy unlike what some think. So, we will make the process easy for you to understand and you will be glad you read this today. Let’s move on.

How To Calculate Sample Size Using Taro Yamani Formula

Before we proceed, it’s important to let us know that the formula was developed by Taro Yamani. Many research works and scholars call him “Yaro Yamani”. But, that is wrong. His name is known and called as Taro Yamani.

Below is the Taro Yamani formula:How To Calculate Sample Size Using Taro Yamani Formula

  • n= N/1+N(e)2. When explained in words, it means “n” equal to (n=) “N” all over “1+N bracket” “e” squared.

Please note the following:

  • n = Sample
  • N = Total population of the area under study
  • 1 = 1 is constant
  • e = error limit or margin of error. It’s usually accepted at 5% or 0.05.

As we pointed out earlier, the sample size is very crucial in researches that solicit primary data through the use of questionnaires. The sample size is simply the select number of people that can be issued the question instead of the whole population.

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How Does It Work?

Since we’ve seen that the Taro Yamani formula is n= N/1+N(e)2, let’s see how it works using an example.

If you were to determine the sample size of Abakaliki LGA area with an estimated population of 198,265 people. Here is how to go about it.

  • n= N/1+N(e) So, here we have the following:
  • n= 198265/1+198265(0.05)
  • Next step. n=198265/1+198265(0.0025)
  • Next, n=198265/1+495.6625
  • n= 198265/496.6625
  • n= 399.19462412
  • Finally, by approximation, n (which is the sample size) is 399. The questionanaires must then be shared to 399 persons out of the total population.

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