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Sample Size Calculator

What is Sample Size Calculator?

The sample size calculator helps you determine the correct sample size for your statistical study, survey, or experiment based on the population size, margin of error, confidence level, and population proportion. A proper sample size ensures the accuracy and reliability of your research results.

Enter Data and Customize Plot

Scatter Plot Results

Construct the scatterplot diagram by the given data of X and Y variables:

X Y

Now by the predicted and the response variable, we construct the following table:

What is the Sample Size Calculator?

A sample size calculator is a tool that helps researchers determine how many participants or data points they need to collect in order to achieve a desired level of confidence in their results. It is crucial for statistical studies, surveys, and experiments to avoid errors due to too few or too many samples.

How to Use Sample Size Calculator?

To use the sample size calculator, input the total population size, desired confidence level, margin of error, and expected proportion. Once you click 'Calculate', the tool will compute the sample size required for your study or survey.

Formula of Sample Size Calculator

The formula for sample size calculation is:

                n = (Z^2 * p * (1 - p)) / E^2
            

Where:
n = sample size
Z = Z-value corresponding to the desired confidence level
p = expected population proportion (usually 0.5 if unknown)
E = margin of error

Advantages of Using a Sample Size Calculator

  • Ensures accuracy in research results.
  • Reduces time and cost by selecting the optimal sample size.
  • Helps avoid sampling errors.

Disadvantages of Using a Sample Size Calculator

  • Requires accurate inputs to get correct results.
  • May not account for all variables in a complex study.