Slovin’s Formula Calculator

Slovin’s formula is used to determine the appropriate sample size when conducting surveys or research with a large population. It’s especially useful when you don’t know the characteristics of the population.

Historical Background

The formula is named after statistician Taro Yamane, though it’s commonly referred to as "Slovin's formula." It allows researchers to calculate the sample size based on population size and a desired margin of error.

Formula

The formula is:

\[ n = \frac{N}{1 + N \times e^2} \]

Where:

• N is the population size
• e is the margin of error

Example Calculation

If you have a population of 10,000 and want a margin of error of 5%:

\[ n = \frac{10000}{1 + 10000 \times 0.05^2} = 385 \]

Importance and Usage Scenarios

Slovin’s formula is widely used in educational research, surveys, and statistics, especially in scenarios where determining the ideal sample size is crucial for accurate representation of the population.

Common FAQs

1. What is the margin of error?

   • The margin of error indicates how much the results of the sample are expected to differ from the true population values.

2. Can this formula be used for small populations?

   • Yes, but for very small populations, other methods or a census might be more appropriate.

3. Why is sample size important in research?

   • The sample size directly affects the accuracy and reliability of research findings.

This calculator helps you quickly determine the sample size needed for your survey or study using Slovin’s formula.