Wilson Score Interval Calculator
Calculates Wilson score limits, which recenter and widen the interval according to sample size. The form displays Wilson score limits for x/n beside wilson score interval, using a worked condition that can be recalculated with the labeled inputs.
Enter the statistical summaries when the result is reused
Wilson score interval
What wilson score interval answers
The wilson score interval page calculates Wilson score limits, which recenter and widen the interval according to sample size.
Wilson score interval is limited to the statistical quantity named by the result panel. The wilson score interval calculation does not silently add a population, time horizon, causal direction, or decision threshold that is absent from the fields.
Before entering the wilson score interval data
- Successes: For wilson score interval, the worked value for successes is 18 successes. Treat the successes entry (18 successes) explicitly as a count, proportion, rate, estimate, or model parameter before comparing wilson score interval conditions. The form enforces minimum 0.
- Trials: For wilson score interval, the worked value for trials is 40 trials. Treat the trials entry (40 trials) explicitly as a count, proportion, rate, estimate, or model parameter before comparing wilson score interval conditions. The form enforces minimum 1.
- Critical z value: For wilson score interval, the worked value for critical z value is 1.96. Treat the critical z value entry (1.96) explicitly as a count, proportion, rate, estimate, or model parameter before comparing wilson score interval conditions. The form enforces minimum 0.
The entries used for wilson score interval must refer to one coherent analysis condition. Combining incompatible populations, periods, or measurement definitions can produce valid wilson score interval arithmetic for a nonexistent study.
From inputs to wilson score interval
For wilson score interval, match every symbol in the relationship to a labeled field before substituting numbers. Wilson score interval is reported in %.
While checking wilson score interval, inspect every denominator in Wilson score limits for x/n. For wilson score interval, a zero or near-zero denominator can make wilson score interval undefined or unstable.
When the analysis changes, compare wald proportion interval.
Worked values for wilson score interval
The default wilson score interval condition is Successes = 18 successes, Trials = 40 trials, Critical z value = 1.96.
Eighteen successes in 40 trials produce a Wilson interval of approximately 30.7% to 60.2%.
The live calculator reports Observed proportion 45 % · Lower Wilson bound 30.705075 % · Upper Wilson bound 60.17117 %. Repeating one intermediate step from Wilson score limits for x/n provides a fixed wilson score interval reference check for later code changes.
What the wilson score interval arithmetic assumes
Wilson limits stay inside the probability scale and generally behave better than Wald limits near the boundaries.
For wilson score interval, the interval is produced by a repeated-sampling procedure; it is not the probability that a fixed parameter lies inside these particular endpoints.
A second check on wilson score interval
When interpreting wilson score interval, coverage depends on the stated standard-error model, critical value, independence conditions, and any approximation used by the method.
As a second check for wilson score interval, reversing the numerator and denominator answers a different question, so retain the direction printed in Wilson score limits for x/n.
A controlled sensitivity check for wilson score interval
Change successes while holding the remaining entries fixed, then state why the direction and size of the wilson score interval change are plausible from Wilson score limits for x/n.
Repeat the wilson score interval exercise with critical z value. If a modest defensible change materially alters the interpretation, report both conditions rather than presenting that wilson score interval scenario as exact.
Documenting the wilson score interval result
Report wilson score interval using Wilson score limits for x/n, followed by the entered values, units, exclusions, and analysis date. Name the wilson score interval population or dataset boundary instead of leaving it implicit.
Keep the full calculator output with the record, including Observed proportion 45 % · Lower Wilson bound 30.705075 % · Upper Wilson bound 60.17117 %. A later wilson score interval review can then distinguish a changed input from a different convention or software implementation.
Questions about wilson score interval
Which input deserves the closest boundary check?
For wilson score interval, start with critical z value and then successes. Confirm the wilson score interval units and allowed domain because a valid-looking entry can still describe the wrong statistical setup.
Why could another program report a different wilson score interval?
A different convention for rounding, tails, ties, interpolation, parameterization, or missing values can change wilson score interval. Compare the printed wilson score interval formula and its input definitions before treating either output as wrong.
What does wilson score interval represent on this page?
It is the quantity produced by Wilson score limits for x/n from the displayed successes, trials, critical z value. This page calculates Wilson score limits, which recenter and widen the interval according to sample size.
What should be saved with wilson score interval?
Save the entered values and units for successes, trials, critical z value, along with the analysis date, exclusions, software or formula version, and the relationship Wilson score limits for x/n. That record is sufficient to rebuild this specific wilson score interval calculation.
Does wilson score interval establish a causal or population conclusion?
No. The displayed wilson score interval value is conditional on the entered data and named method. The wilson score interval design, measurement process, and assumptions determine what can be concluded beyond those values.