Point Estimate Calculator

The point estimate calculator determines the best point estimate based on the number of successes, trials, and confidence level.

How to Use the Point Estimate Calculator?

First, input the number of successes and trials.
Enter the confidence level in terms of percentage.
Now press the 'Calculate' button to obtain the results.
Finally, the tool returns the best point estimate including Maximum Likelihood (MLE), Wilson, Jeffrey, and Laplace point estimates.

The calculator uses the following formulas to compute the point estimate of a population proportion:

Maximum Likelihood Estimate (MLE): x / n

Wilson: (x + z²/2) / (n + z²)

Jeffrey: (x + 0.5) / (n + 1)

Laplace: (x + 1) / (n + 2)

Where,
x = Number of successes,
n = Number of trials or sample size,
z = Z-score associated with the confidence level.

The tool uses the following logic to determine the most suitable point estimate:

If x/n ≤ 0.5, the Wilson Point Estimate is applied.

If 0.5 < x/n < 0.9, the MLE Point Estimate is applied.

If 0.9 ≤ x/n < 1, the smallest value of the Laplace or Jeffreys Point Estimate is applied.

If x/n = 1.0, the Laplace Point Estimate is applied.