G01 Chapter Contents : NAG Library Manual, Mark 24

Routine Name	Mark of Introduction	Purpose
G01AAF Example Text Example Data	4	nagf_stat_withdraw_summary_1var Mean, variance, skewness, kurtosis, etc., one variable, from raw data Note: this routine is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.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 $χ^{2}$ /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 Text Example Data	8	nagf_stat_normal_scores_exact Normal scores, accurate values
G01DBF Example Text Example Data	12	nagf_stat_normal_scores_approx Normal scores, approximate values
G01DCF Example Text Example Data	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 $χ^{2}$ 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
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 $χ^{2}$ 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 $Ψ (x)$
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 $χ^{2}$ 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 $χ^{2}$ variables
G01JDF Example Text Example Data	15	nagf_stat_prob_chisq_lincomb Computes lower tail probability for a linear combination of (central) $χ^{2}$ variables
G01KAF Example Text Example Data Example 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 Data Example 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 Data	24	nagf_stat_pdf_gamma_vector Computes a vector of values for the probability density function of the gamma distribution
G01KQF Example Text Example Data	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 $ϕ (λ)$
G01MUF Example Text Example Data	21	nagf_stat_pdf_vavilov Vavilov density function $ϕ_{V} (λ; κ, β^{2})$
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 $Φ_{1} (x)$
G01QTF Example Text Example Data	21	nagf_stat_pdf_landau_moment2 Landau second moment function $Φ_{2} (x)$
G01RTF Example Text Example Data	21	nagf_stat_pdf_landau_deriv Landau derivative function $ϕ^{'} (λ)$
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 $χ^{2}$ 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 $χ^{2}$ 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 Data Example 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

NAG Library Chapter Contents

G01 – Simple Calculations on Statistical Data

G01 Chapter Introduction

NAG Library Chapter ContentsG01 – Simple Calculations on Statistical Data

G01 Chapter Introduction

NAG Library Chapter Contents

G01 – Simple Calculations on Statistical Data