Chapter Introduction
NAG Fortran Library Contents

## G01 – Simple Calculations on Statistical Data

G01 Chapter Introduction
 RoutineName Mark ofIntroduction Purpose G01AAFExample TextExample Data 4 Mean, variance, skewness, kurtosis, etc., one variable, from raw data G01ABFExample TextExample Data 4 Mean, variance, skewness, kurtosis, etc., two variables, from raw data G01ADFExample TextExample Data 4 Mean, variance, skewness, kurtosis, etc., one variable, from frequency table G01AEFExample TextExample Data 4 Frequency table from raw data G01AFFExample TextExample Data 4 Two-way contingency table analysis, with χ2/Fisher's exact test G01AGFExample TextExample Data 8 Lineprinter scatterplot of two variables G01AHFExample TextExample Data 8 Lineprinter scatterplot of one variable against Normal scores G01AJFExample TextExample Data 10 Lineprinter histogram of one variable G01ALFExample TextExample Data 14 Computes a five-point summary (median, hinges and extremes) G01ARFExample TextExample Data 14 Constructs a stem and leaf plot G01ASFExample TextExample Data 14 Constructs a box and whisker plot G01BJFExample TextExample Data 13 Binomial distribution function G01BKFExample TextExample Data 13 Poisson distribution function G01BLFExample TextExample Data 13 Hypergeometric distribution function G01DAFExample Text 8 Normal scores, accurate values G01DBFExample Text 12 Normal scores, approximate values G01DCFExample Text 12 Normal scores, approximate variance-covariance matrix G01DDFExample TextExample Data 12 Shapiro and Wilk's W test for Normality G01DHFExample TextExample Data 15 Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores G01EAFExample TextExample Data 15 Computes probabilities for the standard Normal distribution G01EBFExample TextExample Data 14 Computes probabilities for Student's t-distribution G01ECFExample TextExample Data 14 Computes probabilities for χ2 distribution G01EDFExample TextExample Data 14 Computes probabilities for F-distribution G01EEFExample TextExample Data 14 Computes upper and lower tail probabilities and probability density function for the beta distribution G01EFFExample TextExample Data 14 Computes probabilities for the gamma distribution G01EMFExample TextExample Data 15 Computes probability for the Studentized range statistic G01EPFExample TextExample Data 15 Computes bounds for the significance of a Durbin–Watson statistic G01ERFExample TextExample Data 16 Computes probability for von Mises distribution G01ETFExample TextExample Data 21 Landau distribution function Φ (λ) G01EUFExample TextExample Data 21 Vavilov distribution function ΦV(λ;κ,β2) G01EYFExample TextExample Data 14 Computes probabilities for the one-sample Kolmogorov–Smirnov distribution G01EZFExample TextExample Data 14 Computes probabilities for the two-sample Kolmogorov–Smirnov distribution G01FAFExample TextExample Data 15 Computes deviates for the standard Normal distribution G01FBFExample TextExample Data 14 Computes deviates for Student's t-distribution G01FCFExample TextExample Data 14 Computes deviates for the χ2 distribution G01FDFExample TextExample Data 14 Computes deviates for the F-distribution G01FEFExample TextExample Data 14 Computes deviates for the beta distribution G01FFFExample TextExample Data 14 Computes deviates for the gamma distribution G01FMFExample TextExample Data 15 Computes deviates for the Studentized range statistic G01FTFExample TextExample Data 21 Landau inverse function Ψ(x) G01GBFExample TextExample Data 14 Computes probabilities for the non-central Student's t-distribution G01GCFExample TextExample Data 14 Computes probabilities for the non-central χ2 distribution G01GDFExample TextExample Data 14 Computes probabilities for the non-central F-distribution G01GEFExample TextExample Data 14 Computes probabilities for the non-central beta distribution G01HAFExample TextExample Data 14 Computes probability for the bivariate Normal distribution G01HBFExample TextExample Data 15 Computes probabilities for the multivariate Normal distribution G01JCFExample TextExample Data 14 Computes probability for a positive linear combination of χ2 variables G01JDFExample TextExample Data 15 Computes lower tail probability for a linear combination of (central) χ2 variables G01MBFExample TextExample Data 15 Computes reciprocal of Mills' Ratio G01MTFExample TextExample Data 21 Landau density function φ (λ) G01MUFExample TextExample Data 21 Vavilov density function φV (λ;κ,β2) G01NAFExample TextExample Data 16 Cumulants and moments of quadratic forms in Normal variables G01NBFExample TextExample Data 16 Moments of ratios of quadratic forms in Normal variables, and related statistics G01PTFExample TextExample Data 21 Landau first moment function Φ1(x) G01QTFExample TextExample Data 21 Landau second moment function Φ2(x) G01RTFExample TextExample Data 21 Landau derivative function φ′(λ) G01ZUF 21 Initialization routine for G01MUF and G01EUF

Chapter Introduction
NAG Fortran Library Contents

© The Numerical Algorithms Group Ltd, Oxford, UK. 2004