The Point Estimate Calculator

This calculator finds the most suitable point estimate from a given number of successes, number of trials, and confidence interval using 4 available point estimate formulas:

Maximum Likelihood Estimation Point Estimate: x / n
Wilson Point Estimate: (x + z²/2) / (n + z²)
Jeffrey Point Estimate: (x + 0.5) / (n + 1)
Laplace Point Estimate: (x + 1) / (n + 2)

Here, x is the number of successes, n is the number of trials, and z is the Z-score associated with the confidence interval.

The calculator below will compute the 4 point estimates and automatically select the best one:

Once you get the estimates, you need to choose the most accurate one. You can do so by following these rules:

1. If MLE ≤ 0.5, use the Wilson Point Estimate.
2. If MLE < 0.9, use MLE Point Estimate.
3. If MLE < 1.0, use the Jeffrey or Laplace Point Estimate, whichever is smallest.
4. If MLE = 1.0, use the Laplace Point Estimate

Hope this calculator helps. Happy analyzing!