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  2. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    The binomial distribution is the basis for the binomial test of statistical significance. [1] The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the ...

  3. p-chart - Wikipedia

    en.wikipedia.org/wiki/P-chart

    The binomial distribution is the basis for the p-chart and requires the following assumptions: [2]: 267 The probability of nonconformity p is the same for each unit; Each unit is independent of its predecessors or successors; The inspection procedure is the same for each sample and is carried out consistently from sample to sample

  4. McNemar's test - Wikipedia

    en.wikipedia.org/wiki/McNemar's_test

    where the second term is the binomial distribution probability mass function and n = b + c. Binomial distribution functions are readily available in common software packages and the McNemar mid-P test can easily be calculated. [6] The traditional advice has been to use the exact binomial test when b + c < 25.

  5. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The multinomial distribution, a generalization of the binomial distribution. The multivariate normal distribution, a generalization of the normal distribution. The multivariate t-distribution, a generalization of the Student's t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution.

  6. Binomial test - Wikipedia

    en.wikipedia.org/wiki/Binomial_test

    A binomial test is a statistical hypothesis test used to determine whether the proportion of successes in a sample differs from an expected proportion in a binomial distribution. It is useful for situations when there are two possible outcomes (e.g., success/failure, yes/no, heads/tails), i.e., where repeated experiments produce binary data .

  7. Probability distribution - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution

    Binomial distribution, for the number of "positive occurrences" (e.g. successes, yes votes, etc.) given a fixed total number of independent occurrences; Negative binomial distribution, for binomial-type observations but where the quantity of interest is the number of failures before a given number of successes occurs

  8. Binomial proportion confidence interval - Wikipedia

    en.wikipedia.org/wiki/Binomial_proportion...

    The probability density function (PDF) for the Wilson score interval, plus PDF s at interval bounds. Tail areas are equal. Since the interval is derived by solving from the normal approximation to the binomial, the Wilson score interval ( , + ) has the property of being guaranteed to obtain the same result as the equivalent z-test or chi-squared test.

  9. Binomial regression - Wikipedia

    en.wikipedia.org/wiki/Binomial_regression

    This can now be considered a binomial distribution with = trial, so a binary regression is a special case of a binomial regression. If these data are grouped (by adding counts), they are no longer binary data, but are count data for each group, and can still be modeled by a binomial regression; the individual binary outcomes are then referred ...

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