G01 Chapter Contents (PDF version)
G01 Chapter Introduction
NAG Library Manual

# NAG Library Chapter ContentsG01 – Simple Calculations on Statistical Data

### G01 Chapter Introduction

 RoutineName Mark ofIntroduction Purpose G01AAF Example Text Example Data 4 nagf_stat_withdraw_summary_1var Mean, variance, skewness, kurtosis, etc., one variable, from raw dataNote: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. G01ABF Example Text Example Data 4 nagf_stat_summary_2var Means, corrected sums of squares and cross-products, etc., two variables, from raw data G01ADF Example Text Example Data 4 nagf_stat_summary_freq Mean, variance, skewness, kurtosis, etc., one variable, from frequency table G01AEF Example Text Example Data 4 nagf_stat_frequency_table Frequency table from raw data G01AFF Example Text Example Data 4 nagf_stat_contingency_table Two-way contingency table analysis, with ${\chi }^{2}$/Fisher's exact test G01AGF Example Text Example Data 8 nagf_stat_plot_scatter_2var Lineprinter scatterplot of two variables G01AHF Example Text Example Data 8 nagf_stat_plot_scatter_normal Lineprinter scatterplot of one variable against Normal scores G01AJF Example Text Example Data 10 nagf_stat_plot_histogram Lineprinter histogram of one variable G01ALF Example Text Example Data 14 nagf_stat_5pt_summary Computes a five-point summary (median, hinges and extremes) G01AMF Example Text Example Data 22 nagf_stat_quantiles Find quantiles of an unordered vector, real numbers G01ANF Example Text Example Data 23 nagf_stat_quantiles_stream_fixed Calculates approximate quantiles from a data stream of known size G01APF Example Text Example Data 23 nagf_stat_quantiles_stream_arbitrary Calculates approximate quantiles from a data stream of unknown size G01ARF Example Text Example Data 14 nagf_stat_plot_stem_leaf Constructs a stem and leaf plot G01ASF Example Text Example Data 14 nagf_stat_plot_box_whisker Constructs a box and whisker plot G01ATF Example Text Example Data 24 nagf_stat_summary_onevar Computes univariate summary information: mean, variance, skewness, kurtosis G01AUF Example Text Example Data 24 nagf_stat_summary_onevar_combine Combines multiple sets of summary information, for use after G01ATF G01BJF Example Text Example Data 13 nagf_stat_prob_binomial Binomial distribution function G01BKF Example Text Example Data 13 nagf_stat_prob_poisson Poisson distribution function G01BLF Example Text Example Data 13 nagf_stat_prob_hypergeom Hypergeometric distribution function G01DAF Example TextExample Plot 8 nagf_stat_normal_scores_exact Normal scores, accurate values G01DBF Example TextExample Plot 12 nagf_stat_normal_scores_approx Normal scores, approximate values G01DCF Example Text 12 nagf_stat_normal_scores_var Normal scores, approximate variance-covariance matrix G01DDF Example Text Example Data 12 nagf_stat_test_shapiro_wilk Shapiro and Wilk's $W$ test for Normality G01DHF Example Text Example Data 15 nagf_stat_ranks_and_scores Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores G01EAF Example Text Example Data 15 nagf_stat_prob_normal Computes probabilities for the standard Normal distribution G01EBF Example Text Example Data 14 nagf_stat_prob_students_t Computes probabilities for Student's $t$-distribution G01ECF Example Text Example Data 14 nagf_stat_prob_chisq Computes probabilities for ${\chi }^{2}$ distribution G01EDF Example Text Example Data 14 nagf_stat_prob_f Computes probabilities for $F$-distribution G01EEF Example Text Example Data 14 nagf_stat_prob_beta Computes upper and lower tail probabilities and probability density function for the beta distribution G01EFF Example Text Example Data 14 nagf_stat_prob_gamma Computes probabilities for the gamma distribution G01EMF Example Text Example Data 15 nagf_stat_prob_studentized_range Computes probability for the Studentized range statistic G01EPF Example Text Example Data 15 nagf_stat_prob_durbin_watson Computes bounds for the significance of a Durbin–Watson statistic G01ERF Example Text Example Data 16 nagf_stat_prob_vonmises Computes probability for von Mises distribution G01ETF Example Text Example Data 21 nagf_stat_prob_landau Landau distribution function G01EUF Example Text Example Data 21 nagf_stat_prob_vavilov Vavilov distribution function G01EWF 25 nagf_stat_prob_dickey_fuller_unit Computes probabilities for the Dickey–Fuller unit root test G01EYF Example Text Example Data 14 nagf_stat_prob_kolmogorov1 Computes probabilities for the one-sample Kolmogorov–Smirnov distribution G01EZF Example Text Example Data 14 nagf_stat_prob_kolmogorov2 Computes probabilities for the two-sample Kolmogorov–Smirnov distribution G01FAF Example Text Example Data 15 nagf_stat_inv_cdf_normal Computes deviates for the standard Normal distribution G01FBF Example Text Example Data 14 nagf_stat_inv_cdf_students_t Computes deviates for Student's $t$-distribution G01FCF Example Text Example Data 14 nagf_stat_inv_cdf_chisq Computes deviates for the ${\chi }^{2}$ distribution G01FDF Example Text Example Data 14 nagf_stat_inv_cdf_f Computes deviates for the $F$-distribution G01FEF Example Text Example Data 14 nagf_stat_inv_cdf_beta Computes deviates for the beta distribution G01FFF Example Text Example Data 14 nagf_stat_inv_cdf_gamma Computes deviates for the gamma distribution G01FMF Example Text Example Data 15 nagf_stat_inv_cdf_studentized_range Computes deviates for the Studentized range statistic G01FTF Example Text Example Data 21 nagf_stat_inv_cdf_landau Landau inverse function $\Psi \left(x\right)$ G01GBF Example Text Example Data 14 nagf_stat_prob_students_t_noncentral Computes probabilities for the non-central Student's $t$-distribution G01GCF Example Text Example Data 14 nagf_stat_prob_chisq_noncentral Computes probabilities for the non-central ${\chi }^{2}$ distribution G01GDF Example Text Example Data 14 nagf_stat_prob_f_noncentral Computes probabilities for the non-central $F$-distribution G01GEF Example Text Example Data 14 nagf_stat_prob_beta_noncentral Computes probabilities for the non-central beta distribution G01HAF Example Text Example Data 14 nagf_stat_prob_bivariate_normal Computes probability for the bivariate Normal distribution G01HBF Example Text Example Data 15 nagf_stat_prob_multi_normal Computes probabilities for the multivariate Normal distribution G01HCF Example Text Example Data 23 nagf_stat_prob_bivariate_students_t Computes probabilities for the bivariate Student's $t$-distribution G01HDF Example Text Example Data 24 nagf_multi_students_t Computes the probability for the multivariate Student's $t$-distribution G01JCF Example Text Example Data 14 nagf_stat_prob_chisq_noncentral_lincomb Computes probability for a positive linear combination of ${\chi }^{2}$ variables G01JDF Example Text Example Data 15 nagf_stat_prob_chisq_lincomb Computes lower tail probability for a linear combination of (central) ${\chi }^{2}$ variables G01KAF Example Text Example DataExample Plot 23 nagf_stat_pdf_normal Calculates the value for the probability density function of the Normal distribution at a chosen point G01KFF Example Text Example DataExample Plot 23 nagf_stat_pdf_gamma Calculates the value for the probability density function of the gamma distribution at a chosen point G01KKF Example Text Example DataExample Plot 24 nagf_stat_pdf_gamma_vector Computes a vector of values for the probability density function of the gamma distribution G01KQF Example Text Example DataExample Plot 24 nagf_stat_pdf_normal_vector Computes a vector of values for the probability density function of the Normal distribution G01LBF Example Text Example Data 24 nagf_stat_pdf_multi_normal_vector Computes a vector of values for the probability density function of the multivariate Normal distribution G01MBF Example Text Example Data 15 nagf_stat_mills_ratio Computes reciprocal of Mills' Ratio G01MTF Example Text Example Data 21 nagf_stat_pdf_landau Landau density function $\varphi \left(\lambda \right)$ G01MUF Example Text Example Data 21 nagf_stat_pdf_vavilov Vavilov density function ${\varphi }_{V}\left(\lambda ;\kappa ,{\beta }^{2}\right)$ G01NAF Example Text Example Data 16 nagf_stat_moments_quad_form Cumulants and moments of quadratic forms in Normal variables G01NBF Example Text Example Data 16 nagf_stat_moments_ratio_quad_forms Moments of ratios of quadratic forms in Normal variables, and related statistics G01PTF Example Text Example Data 21 nagf_stat_pdf_landau_moment1 Landau first moment function ${\Phi }_{1}\left(x\right)$ G01QTF Example Text Example Data 21 nagf_stat_pdf_landau_moment2 Landau second moment function ${\Phi }_{2}\left(x\right)$ G01RTF Example Text Example Data 21 nagf_stat_pdf_landau_deriv Landau derivative function ${\varphi }^{\prime }\left(\lambda \right)$ G01SAF Example Text Example Data 24 nagf_stat_prob_normal_vector Computes a vector of probabilities for the standard Normal distribution G01SBF Example Text Example Data 24 nagf_stat_prob_students_t_vector Computes a vector of probabilities for the Student's $t$-distribution G01SCF Example Text Example Data 24 nagf_stat_prob_chisq_vector Computes a vector of probabilities for ${\chi }^{2}$ distribution G01SDF Example Text Example Data 24 nagf_stat_prob_f_vector Computes a vector of probabilities for $F$-distribution G01SEF Example Text Example Data 24 nagf_stat_prob_beta_vector Computes a vector of probabilities for the beta distribution G01SFF Example Text Example Data 24 nagf_stat_prob_gamma_vector Computes a vector of probabilities for the gamma distribution G01SJF Example Text Example Data 24 nagf_stat_prob_binomial_vector Computes a vector of probabilities for the binomial distribution G01SKF Example Text Example Data 24 nagf_stat_prob_poisson_vector Computes a vector of probabilities for the Poisson distribution G01SLF Example Text Example Data 24 nagf_stat_prob_hypergeom_vector Computes a vector of probabilities for the hypergeometric distribution G01TAF Example Text Example Data 24 nagf_stat_inv_cdf_normal_vector Computes a vector of deviates for the standard Normal distribution G01TBF Example Text Example Data 24 nagf_stat_inv_cdf_students_t_vector Computes a vector of deviates for Student's $t$-distribution G01TCF Example Text Example Data 24 nagf_stat_inv_cdf_chisq_vector Computes a vector of deviates for ${\chi }^{2}$ distribution G01TDF Example Text Example Data 24 nagf_stat_inv_cdf_f_vector Computes a vector of deviates for $F$-distribution G01TEF Example Text Example Data 24 nagf_stat_inv_cdf_beta_vector Computes a vector of deviates for the beta distribution G01TFF Example Text Example Data 24 nagf_stat_inv_cdf_gamma_vector Computes a vector of deviates for the gamma distribution G01WAF Example Text Example DataExample Plot 24 nagf_stat_moving_average Computes the mean and standard deviation using a rolling window G01ZUF 21 nagf_stat_init_vavilov Initialization routine for G01MUF and G01EUF

G01 Chapter Contents (PDF version)
G01 Chapter Introduction
NAG Library Manual