G01 Chapter Contents

G01 Introduction

g01ab – Means, corrected sums of squares and cross-products, etc., two variables, from raw data

nag_stat_summary_2var

g01ad – Mean, variance, skewness, kurtosis, etc., one variable, from frequency table

nag_stat_summary_freq

g01ae – Frequency table from raw data

nag_stat_frequency_table

g01af – Two-way contingency table analysis, with χ²/Fisher's exact test

nag_stat_contingency_table

g01ag – Lineprinter scatterplot of two variables

nag_stat_plot_scatter_2var

g01ah – Lineprinter scatterplot of one variable against Normal scores

nag_stat_plot_scatter_normal

g01aj – Lineprinter histogram of one variable

nag_stat_plot_histogram

g01al – Computes a five-point summary (median, hinges and extremes)

nag_stat_5pt_summary

g01am – Find quantiles of an unordered vector, real numbers

nag_stat_quantiles

g01an – Calculates approximate quantiles from a data stream of known size

nag_stat_quantiles_stream_fixed

g01ap – Calculates approximate quantiles from a data stream of unknown size

nag_stat_quantiles_stream_arbitrary

g01ar – Constructs a stem and leaf plot

nag_stat_plot_stem_leaf

g01as – Constructs a box and whisker plot

nag_stat_plot_box_whisker

g01at – Computes univariate summary information: mean, variance, skewness, kurtosis

nag_stat_summary_onevar

g01au – Combines multiple sets of summary information, for use after g01at

nag_stat_summary_onevar_combine

g01bj – Binomial distribution function

nag_stat_prob_binomial

g01bk – Poisson distribution function

nag_stat_prob_poisson

g01bl – Hypergeometric distribution function

nag_stat_prob_hypergeom

g01da – Normal scores, accurate values

nag_stat_normal_scores_exact

g01db – Normal scores, approximate values

nag_stat_normal_scores_approx

g01dc – Normal scores, approximate variance-covariance matrix

nag_stat_normal_scores_var

g01dd – Shapiro and Wilk's W test for Normality

nag_stat_test_shapiro_wilk

g01dh – Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores

nag_stat_ranks_and_scores

g01ea – Computes probabilities for the standard Normal distribution

nag_stat_prob_normal

g01eb – Computes probabilities for Student's t-distribution

nag_stat_prob_students_t

g01ec – Computes probabilities for χ² distribution

nag_stat_prob_chisq

g01ed – Computes probabilities for F-distribution

nag_stat_prob_f

g01ee – Computes upper and lower tail probabilities and probability density function for the beta distribution

nag_stat_prob_beta

g01ef – Computes probabilities for the gamma distribution

nag_stat_prob_gamma

g01em – Computes probability for the Studentized range statistic

nag_stat_prob_studentized_range

g01ep – Computes bounds for the significance of a Durbin–Watson statistic

nag_stat_prob_durbin_watson

g01er – Computes probability for von Mises distribution

nag_stat_prob_vonmises

g01et – Landau distribution function

nag_stat_prob_landau

g01eu – Vavilov distribution function

nag_stat_prob_vavilov

g01ew – Computes probabilities for the Dickey–Fuller unit root test

nag_stat_prob_dickey_fuller_unit

g01ey – Computes probabilities for the one-sample Kolmogorov–Smirnov distribution

nag_stat_prob_kolmogorov1

g01ez – Computes probabilities for the two-sample Kolmogorov–Smirnov distribution

nag_stat_prob_kolmogorov2

g01fa – Computes deviates for the standard Normal distribution

nag_stat_inv_cdf_normal

g01fb – Computes deviates for Student's t-distribution

nag_stat_inv_cdf_students_t

g01fc – Computes deviates for the χ² distribution

nag_stat_inv_cdf_chisq

g01fd – Computes deviates for the F-distribution

nag_stat_inv_cdf_f

g01fe – Computes deviates for the beta distribution

nag_stat_inv_cdf_beta

g01ff – Computes deviates for the gamma distribution

nag_stat_inv_cdf_gamma

g01fm – Computes deviates for the Studentized range statistic

nag_stat_inv_cdf_studentized_range

g01ft – Landau inverse function Ψ(x)

nag_stat_inv_cdf_landau

g01gb – Computes probabilities for the non-central Student's t-distribution

nag_stat_prob_students_t_noncentral

g01gc – Computes probabilities for the non-central χ² distribution

nag_stat_prob_chisq_noncentral

g01gd – Computes probabilities for the non-central F-distribution

nag_stat_prob_f_noncentral

g01ge – Computes probabilities for the non-central beta distribution

nag_stat_prob_beta_noncentral

g01ha – Computes probability for the bivariate Normal distribution

nag_stat_prob_bivariate_normal

g01hb – Computes probabilities for the multivariate Normal distribution

nag_stat_prob_multi_normal

g01hc – Computes probabilities for the bivariate Student's t-distribution

nag_stat_prob_bivariate_students_t

g01hd – Computes the probability for the multivariate Student's t-distribution

nag_multi_students_t

g01jc – Computes probability for a positive linear combination of χ² variables

nag_stat_prob_chisq_noncentral_lincomb

g01jd – Computes lower tail probability for a linear combination of (central) χ² variables

nag_stat_prob_chisq_lincomb

g01ka – Calculates the value for the probability density function of the Normal distribution at a chosen point

nag_stat_pdf_normal

g01kf – Calculates the value for the probability density function of the gamma distribution at a chosen point

nag_stat_pdf_gamma

g01kk – Computes a vector of values for the probability density function of the gamma distribution

nag_stat_pdf_gamma_vector

g01kq – Computes a vector of values for the probability density function of the Normal distribution

nag_stat_pdf_normal_vector

g01lb – Computes a vector of values for the probability density function of the multivariate Normal distribution

nag_stat_pdf_multi_normal_vector

g01mb – Computes reciprocal of Mills' Ratio

nag_stat_mills_ratio

g01mt – Landau density function ϕ (λ)

nag_stat_pdf_landau

g01mu – Vavilov density function ϕ_V (λ;κβ²)

nag_stat_pdf_vavilov

g01na – Cumulants and moments of quadratic forms in Normal variables

nag_stat_moments_quad_form

g01nb – Moments of ratios of quadratic forms in Normal variables, and related statistics

nag_stat_moments_ratio_quad_forms

g01pt – Landau first moment function Φ₁(x)

nag_stat_pdf_landau_moment1

g01qt – Landau second moment function Φ₂(x)

nag_stat_pdf_landau_moment2

g01rt – Landau derivative function ϕ'(λ)

nag_stat_pdf_landau_deriv

g01sa – Computes a vector of probabilities for the standard Normal distribution

nag_stat_prob_normal_vector

g01sb – Computes a vector of probabilities for the Student's t-distribution

nag_stat_prob_students_t_vector

g01sc – Computes a vector of probabilities for χ² distribution

nag_stat_prob_chisq_vector

g01sd – Computes a vector of probabilities for F-distribution

nag_stat_prob_f_vector

g01se – Computes a vector of probabilities for the beta distribution

nag_stat_prob_beta_vector

g01sf – Computes a vector of probabilities for the gamma distribution

nag_stat_prob_gamma_vector

g01sj – Computes a vector of probabilities for the binomial distribution

nag_stat_prob_binomial_vector

g01sk – Computes a vector of probabilities for the Poisson distribution

nag_stat_prob_poisson_vector

g01sl – Computes a vector of probabilities for the hypergeometric distribution

nag_stat_prob_hypergeom_vector

g01ta – Computes a vector of deviates for the standard Normal distribution

nag_stat_inv_cdf_normal_vector

g01tb – Computes a vector of deviates for Student's t-distribution

nag_stat_inv_cdf_students_t_vector

g01tc – Computes a vector of deviates for χ² distribution

nag_stat_inv_cdf_chisq_vector

g01td – Computes a vector of deviates for F-distribution

nag_stat_inv_cdf_f_vector

g01te – Computes a vector of deviates for the beta distribution

nag_stat_inv_cdf_beta_vector

g01tf – Computes a vector of deviates for the gamma distribution

nag_stat_inv_cdf_gamma_vector

g01wa – Computes the mean and standard deviation using a rolling window

nag_stat_moving_average

g01zu – Initialization function for g01mu and g01eu

nag_stat_init_vavilov

Functions scheduled for withdrawal

g01aa – Mean, variance, skewness, kurtosis, etc., one variable, from raw data
nag_stat_summary_1var

G01 – simple calculations on statistical data