Binomial Confidence Intervals and Contingency Tests: Mathematical Fundamentals and the Evaluation of Alternative Methods

@article{Wallis2013BinomialCI,
  title={Binomial Confidence Intervals and Contingency Tests: Mathematical Fundamentals and the Evaluation of Alternative Methods},
  author={S. Wallis},
  journal={Journal of Quantitative Linguistics},
  year={2013},
  volume={20},
  pages={178 - 208}
}
  • S. Wallis
  • Published 2013
  • Mathematics, Computer Science
  • Journal of Quantitative Linguistics
  • Abstract Many statistical methods rely on an underlying mathematical model of probability based on a simple approximation, one that is simultaneously well-known and yet frequently misunderstood. The Normal approximation to the Binomial distribution underpins a range of statistical tests and methods, including the calculation of accurate confidence intervals, performing goodness of fit and contingency tests, line- and model-fitting, and computational methods based upon these. A common mistake is… CONTINUE READING
    155 Citations

    Topics from this paper

    Further evaluation of Binomial confidence intervals and difference intervals
    • PDF
    z-squared: The Origin and Application of
    • S. Wallis
    • Computer Science
    • J. Quant. Linguistics
    • 2013
    • 15
    • PDF
    Comparing χ2 Tables for Separability of Distribution and Effect: Meta-Tests for Comparing Homogeneity and Goodness of Fit Contingency Test Outcomes
    • S. Wallis
    • Mathematics, Computer Science
    • J. Quant. Linguistics
    • 2019
    • 2
    • PDF
    Adapting random-instance sampling variance estimates and Binomial models for random-text sampling
    • PDF

    References

    SHOWING 1-10 OF 17 REFERENCES
    Accurate Methods for the Statistics of Surprise and Coincidence
    • 2,689
    • Highly Influential
    • PDF
    z-squared: The Origin and Application of
    • S. Wallis
    • Computer Science
    • J. Quant. Linguistics
    • 2013
    • 15
    • PDF
    Interval Estimation for a Binomial Proportion
    • 2,241
    • Highly Influential
    • PDF
    Interval estimation for the difference between independent proportions: comparison of eleven methods.
    • R. Newcombe
    • Mathematics, Medicine
    • Statistics in medicine
    • 1998
    • 1,414
    Two-sided confidence intervals for the single proportion: comparison of seven methods.
    • R. Newcombe
    • Mathematics, Medicine
    • Statistics in medicine
    • 1998
    • 3,313
    • Highly Influential
    • PDF
    Handbook of Parametric and Nonparametric Statistical Procedures
    • M. Nash
    • Computer Science
    • Technometrics
    • 2001
    • 1,634
    • Highly Influential
    Choices over time: Methodological issues in investigating current change
    • 15
    • PDF
    z - squared : The origin and use of v 2
    • Journal of Quantitative Linguistics
    • 2013
    z-squared: The origin and use
    • 2013
    Comparing v2 tests for separability. London: Survey of English Usage
    • 2011