g01aa calculates the mean, standard deviation, coefficients of skewness and kurtosis, and the maximum and minimum values for a set of ungrouped data. Weighting may be used.

g01ad calculates the mean, standard deviation and coefficients of skewness and kurtosis for data grouped in a frequency distribution.

g01ae constructs a frequency distribution of a variable, according to either user-supplied, or method-calculated class boundary values.

g01af performs the analysis of a two-way $r\times c$ contingency table or classification. If $r=c=2$, and the total number of objects classified is $40$ or fewer, then the probabilities for Fisher's exact test are computed. Otherwise, a test statistic is computed (with Yates' correction when $r=c=2$), which under the assumption of no association between the classifications has approximately a chi-square distribution with $\left(r-1\right)\times \left(c-1\right)$ degrees of freedom.

g01al calculates a five-point summary for a single sample.

g01am finds specified quantiles from a vector of unsorted data.

g01bj returns the lower tail, upper tail and point probabilities associated with a binomial distribution.

g01bk returns the lower tail, upper tail and point probabilities associated with a Poisson distribution.

g01bl returns the lower tail, upper tail and point probabilities associated with a hypergeometric distribution.

g01da computes a set of Normal scores, i.e., the expected values of an ordered set of independent observations from a Normal distribution with mean $0.0$ and standard deviation $1.0$.

g01db calculates an approximation to the set of Normal Scores, i.e., the expected values of an ordered set of independent observations from a Normal distribution with mean $0.0$ and standard deviation $1.0$.

g01dc computes an approximation to the variance-covariance matrix of an ordered set of independent observations from a Normal distribution with mean $0.0$ and standard deviation $1.0$.

g01dd calculates Shapiro and Wilk's $W$ statistic and its significance level for testing Normality.

g01dh computes the ranks, Normal scores, an approximation to the Normal scores or the exponential scores as requested by you.

g01ea returns a one or two tail probability for the standard Normal distribution.

g01eb returns the lower tail, upper tail or two tail probability for the Student's $t$-distribution with real degrees of freedom.

g01ec returns the lower or upper tail probability for the ${\chi }^2$-distribution with real degrees of freedom.

g01ed returns the probability for the lower or upper tail of the $F$ or variance-ratio distribution with real degrees of freedom.

g01ee computes the upper and lower tail probabilities and the probability density function of the beta distribution with parameters $a$ and $b$.

g01ef returns the lower or upper tail probability of the gamma distribution, with parameters $\alpha$ and $\beta$.

g01em returns the probability associated with the lower tail of the distribution of the Studentized range statistic.

g01ep calculates upper and lower bounds for the significance of a Durbin–Watson statistic.

g01er returns the probability associated with the lower tail of the von Mises distribution between $-\pi$ and $\pi$ through the function name.

g01et returns the value of the Landau distribution function $\Phi \left(\lambda \right)$.

g01eu returns the value of the Vavilov distribution function ${\Phi }_V\left(\lambda \text{;}\kappa ,{\beta }^2\right)$.

It is intended to be used after a call to g01zu.

g01ey returns the upper tail probability associated with the one sample Kolmogorov–Smirnov distribution.

g01ez returns the probability associated with the upper tail of the Kolmogorov–Smirnov two sample distribution.

g01fa returns the deviate associated with the given probability of the standard Normal distribution.

g01fb returns the deviate associated with the given tail probability of Student's $t$-distribution with real degrees of freedom.

g01fc returns the deviate associated with the given lower tail probability of the ${\chi }^2$-distribution with real degrees of freedom.

g01fd returns the deviate associated with the given lower tail probability of the $F$ or variance-ratio distribution with real degrees of freedom.

g01fe returns the deviate associated with the given lower tail probability of the beta distribution.

g01ff returns the deviate associated with the given lower tail probability of the gamma distribution.

g01fm returns the deviate associated with the lower tail probability of the distribution of the Studentized range statistic.

g01ft returns the value of the inverse ${\Phi }^{-1}\left(x\right)$ of the Landau distribution function.

g01gb returns the lower tail probability for the noncentral Student's $t$-distribution.

g01gc returns the probability associated with the lower tail of the noncentral ${\chi }^2$-distribution .

g01gd returns the probability associated with the lower tail of the noncentral $F$ or variance-ratio distribution.

g01ge returns the probability associated with the lower tail of the noncentral beta distribution.

g01ha returns the lower tail probability for the bivariate Normal distribution.

g01hb returns the upper tail, lower tail or central probability associated with a multivariate Normal distribution of up to ten dimensions.

g01jc returns the lower tail probability of a distribution of a positive linear combination of ${\chi }^2$ random variables.

g01jd calculates the lower tail probability for a linear combination of (central) ${\chi }^2$ variables.

g01mb returns the reciprocal of Mills' Ratio.

g01mt returns the value of the Landau density function $\varphi \left(\lambda \right)$.

g01mu returns the value of the Vavilov density function ${\varphi }_V\left(\lambda \text{;}\kappa ,{\beta }^2\right)$.

It is intended to be used after a call to g01zu.

g01na computes the cumulants and moments of quadratic forms in Normal variates.

g01nb computes the moments of ratios of quadratic forms in Normal variables and related statistics.

g01pt returns the value of the first moment ${\Phi }_1\left(x\right)$ of the Landau density function.

g01qt returns the value of the second moment ${\Phi }_2\left(x\right)$ of the Landau density function.

g01rt returns the value of the derivative ${\varphi }^{\prime }\left(\lambda \right)$ of the Landau density function.

g01zu is used to initialize methods g01eu and g01mu.

It is intended to be used before a call to g01eu or g01mu.