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Confidence interval calculator

Intervals for a mean use the t distribution; intervals for a proportion use the Wilson score method, which is more accurate than the textbook normal approximation, particularly with small samples or proportions near 0 or 1.

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Confidence interval
Interval width
Standard error
Critical value
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The interval is more informative than the p-value

An interval shows both whether an effect is distinguishable from zero and how precisely you have measured it. Reviewers increasingly ask for intervals in place of, not alongside, bare significance.

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Sidra Khan This calculator was checked by Sidra Khan, Lead Biostatistician

In short

What is a confidence interval?

Answer

A confidence interval is a range of plausible values for a population parameter, calculated from sample data. A 95% interval means that if the study were repeated many times, 95% of the intervals produced would contain the true value. It does not mean there is a 95% probability that the true value lies within this particular interval.

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