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Appendix C Formula Functions Reference 481<br />

Statistical Functions<br />

Beta Binomial Probability<br />

Returns the probability or cmf that a beta binomially distributed random variable is equal to x. When<br />

the overdispersion parameter for the beta binomial is zero, the distribution reduces to a binomial(p, n).<br />

Beta Binomial Quantile<br />

Returns the quantile, which is the percentile of the probability of observing a beta binomial(p,n)<br />

random variable of equal or smaller value. When the overdispersion parameter for the beta binomial is<br />

zero, the distribution reduces to a binomial(p, n).<br />

Hypergeometric Distribution<br />

Computes the probability that a random variable from a hypergeometric distribution is less than or<br />

equal to x. The hypergeometric distribution models the total number of successes in a fixed sample<br />

drawn without replacement from a finite population. The hypergeometric functions accept as<br />

arguments the size of the population N, the total number of items with the desired characteristic in the<br />

population, K, the number of samples drawn n, and the number of successes in the sample x.<br />

Hypergeometric Probability<br />

Computes the probability that a random variable from a hypergeometric distribution is equal to x.<br />

Poisson Distribution<br />

Computes the probability that a random variable from a Poisson distribution with mean lambda is less<br />

than or equal to the count of interest. In general, Poisson functions accept an argument that is the<br />

count of interest, and lambda, the mean parameter.<br />

Poisson Probability<br />

Computes the probability that a random variable from a Poisson distribution with mean lambda is<br />

equal to the count of interest.<br />

Poisson Quantile<br />

Returns the quantile, which is the percentile of the probability of observing a poisson(lambda) random<br />

variable of equal or smaller value.<br />

C Formula Functions Reference<br />

Statistical Functions<br />

See the JMP Scripting <strong>Guide</strong> for details about syntax.<br />

Col Mean<br />

Calculates the mean (or arithmetic average) of the numeric values identified by its argument. The<br />

formula Col Mean(age) calculates the average of all nonmissing values in the age column.<br />

Col Std Dev<br />

Measures the spread around the mean of the distribution identified by its argument. In the normal<br />

distribution, about 68% of the distribution is within one standard deviation of the mean, 95% of the<br />

distribution is within two standard deviations of the mean, and 99% of the distribution is within three<br />

standard deviations of the mean.

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