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Binomial Confidence Intervals

This tool calculates one-sided and two-sided confidence intervals for discrete reliability test data (i.e., go/no-go testing). Given a risk (α), confidence is calculated at the 1-α level for the true proportion defective p, where Nd defects are found in a sample size of N. For additional details, click here.

The tool is prefilled with example data from the NIST Engineering Statistics Handbook. See the example shown at the bottom of this page.

Calculation Inputs:

1. Sample size (N):
2. Number of defects found (Nd):
3. Confidence:
4. Decimal places:
5. Output:
6. Chart:



Featured Reference:

Introduction to Statistical Quality Control
Introduction to Statistical Quality Control


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References:

  1. http://www.itl.nist.gov/div898/handbook/prc/section2/prc241.htm.
  2. MIL-HDBK-338, Electronic Reliability Design Handbook.
  3. http://en.wikipedia.org/wiki/Binomial_proportion_confidence_interval
  4. http://en.wikipedia.org/wiki/Binomial_distribution
  5. O'Connor, Patrick, D. T., Practical Reliability Engineering.
  6. Bazovsky, Igor, Reliability Theory and Practice.
  7. Khan Academy, Margin of Error 1.
  8. Khan Academy, Margin of Error 2.
  9. Khan Academy, Confidence Interval Example.
  10. O'Connor, Patrick, D. T., Practical Reliability Engineering.
  11. Birolini, Alessandro, Reliability Engineering: Theory and Practice.
  12. Collani, E. von; Drager, Klaus Binomial Distribution Handbook for Scientists and Engineers.