G01 Chapter Contents

G01 Introduction

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

nag_stat_summary_1var – g01aa

g01ab – Mean, variance, skewness, kurtosis, etc., two variables, from raw data

nag_stat_summary_2var – g01ab

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

nag_stat_summary_freq – g01ad

g01ae – Frequency table from raw data

nag_stat_frequency_table – g01ae

g01af – Two-way contingency table analysis, with chi ^2/Fisher's exact test

nag_stat_contingency_table – g01af

g01ag – Lineprinter scatterplot of two variables

nag_stat_plot_scatter_2var – g01ag

g01ah – Lineprinter scatterplot of one variable against Normal scores

nag_stat_plot_scatter_normal – g01ah

g01aj – Lineprinter histogram of one variable

nag_stat_plot_histogram – g01aj

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

nag_stat_5pt_summary – g01al

g01am – Find quantiles of an unordered vector, real numbers

nag_stat_quantiles – g01am

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

nag_stat_quantiles_stream_fixed – g01an

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

nag_stat_quantiles_stream_arbitrary – g01ap

g01ar – Constructs a stem and leaf plot

nag_stat_plot_stem_leaf – g01ar

g01as – Constructs a box and whisker plot

nag_stat_plot_box_whisker – g01as

g01bj – Binomial distribution function

nag_stat_prob_binomial – g01bj

g01bk – Poisson distribution function

nag_stat_prob_poisson – g01bk

g01bl – Hypergeometric distribution function

nag_stat_prob_hypergeom – g01bl

g01da – Normal scores, accurate values

nag_stat_normal_scores_exact – g01da

g01db – Normal scores, approximate values

nag_stat_normal_scores_approx – g01db

g01dc – Normal scores, approximate variance-covariance matrix

nag_stat_normal_scores_var – g01dc

g01dd – Shapiro and Wilk's W test for Normality

nag_stat_test_shapiro_wilk – g01dd

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

nag_stat_ranks_and_scores – g01dh

g01ea – Computes probabilities for the standard Normal distribution

nag_stat_prob_normal – g01ea

g01eb – Computes probabilities for Student's t-distribution

nag_stat_prob_students_t – g01eb

g01ec – Computes probabilities for chi ^2 distribution

nag_stat_prob_chisq – g01ec

g01ed – Computes probabilities for F-distribution

nag_stat_prob_f – g01ed

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

nag_stat_prob_beta – g01ee

g01ef – Computes probabilities for the gamma distribution

nag_stat_prob_gamma – g01ef

g01em – Computes probability for the Studentized range statistic

nag_stat_prob_studentized_range – g01em

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

nag_stat_prob_durbin_watson – g01ep

g01er – Computes probability for von Mises distribution

nag_stat_prob_vonmises – g01er

g01et – Landau distribution function

nag_stat_prob_landau – g01et

g01eu – Vavilov distribution function

nag_stat_prob_vavilov – g01eu

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

nag_stat_prob_kolmogorov1 – g01ey

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

nag_stat_prob_kolmogorov2 – g01ez

g01fa – Computes deviates for the standard Normal distribution

nag_stat_inv_cdf_normal – g01fa

g01fb – Computes deviates for Student's t-distribution

nag_stat_inv_cdf_students_t – g01fb

g01fc – Computes deviates for the chi ^2 distribution

nag_stat_inv_cdf_chisq – g01fc

g01fd – Computes deviates for the F-distribution

nag_stat_inv_cdf_f – g01fd

g01fe – Computes deviates for the beta distribution

nag_stat_inv_cdf_beta – g01fe

g01ff – Computes deviates for the gamma distribution

nag_stat_inv_cdf_gamma – g01ff

g01fm – Computes deviates for the Studentized range statistic

nag_stat_inv_cdf_studentized_range – g01fm

g01ft – Landau inverse function Psi (x)

nag_stat_inv_cdf_landau – g01ft

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

nag_stat_prob_students_t_noncentral – g01gb

g01gc – Computes probabilities for the non-central chi ^2 distribution

nag_stat_prob_chisq_noncentral – g01gc

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

nag_stat_prob_f_noncentral – g01gd

g01ge – Computes probabilities for the non-central beta distribution

nag_stat_prob_beta_noncentral – g01ge

g01ha – Computes probability for the bivariate Normal distribution

nag_stat_prob_bivariate_normal – g01ha

g01hb – Computes probabilities for the multivariate Normal distribution

nag_stat_prob_multi_normal – g01hb

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

nag_stat_prob_bivariate_students_t – g01hc

g01jc – Computes probability for a positive linear combination of chi ^2 variables

nag_stat_prob_chisq_noncentral_lincomb – g01jc

g01jd – Computes lower tail probability for a linear combination of (central) chi ^2 variables

nag_stat_prob_chisq_lincomb – g01jd

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

nag_stat_pdf_normal – g01ka

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

nag_stat_pdf_gamma – g01kf

g01kk – Calculates a vector of values for the probability density function of the gamma distribution at chosen points

nag_stat_pdf_gamma_vector – g01kk

g01kq – Calculates a vector of values for the probability density function of the Normal distribution at chosen points

nag_stat_pdf_normal_vector – g01kq

g01mb – Computes reciprocal of Mills' Ratio

nag_stat_mills_ratio – g01mb

g01mt – Landau density function phi ( lambda )

nag_stat_pdf_landau – g01mt

g01mu – Vavilov density function phi _V ( lambda ; kappa beta ^2)

nag_stat_pdf_vavilov – g01mu

g01na – Cumulants and moments of quadratic forms in Normal variables

nag_stat_moments_quad_form – g01na

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

nag_stat_moments_ratio_quad_forms – g01nb

g01pt – Landau first moment function Phi _1(x)

nag_stat_pdf_landau_moment1 – g01pt

g01qt – Landau second moment function Phi _2(x)

nag_stat_pdf_landau_moment2 – g01qt

g01rt – Landau derivative function phi '( lambda )

nag_stat_pdf_landau_deriv – g01rt

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

nag_stat_prob_normal_vector – g01sa

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

nag_stat_prob_students_t_vector – g01sb

g01sc – Computes a vector of probabilities for chi ^2 distribution

nag_stat_prob_chisq_vector – g01sc

g01sd – Computes a vector of probabilities for F-distribution

nag_stat_prob_f_vector – g01sd

g01se – Computes a vector of probabilities for the beta distribution

nag_stat_prob_beta_vector – g01se

g01sf – Computes a vector of probabilities for the gamma distribution

nag_stat_prob_gamma_vector – g01sf

g01sj – Computes a vector of the binomial distribution

nag_stat_prob_binomial_vector – g01sj

g01sk – Computes a vector of the Poisson distribution

nag_stat_prob_poisson_vector – g01sk

g01sl – Computes a vector of the hypergeometeric distribution

nag_stat_prob_hypergeom_vector – g01sl

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

nag_stat_inv_cdf_normal_vector – g01ta

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

nag_stat_inv_cdf_students_t_vector – g01tb

g01tc – Computes a vector of deviates for chi ^2 distribution

nag_stat_inv_cdf_chisq_vector – g01tc

g01td – Computes deviates for F-distribution

nag_stat_inv_cdf_f_vector – g01td

g01te – Computes a vector of deviates for the beta distribution

nag_stat_inv_cdf_beta_vector – g01te

g01tf – Computes a vector of deviates for the gamma distribution

nag_stat_inv_cdf_gamma_vector – g01tf

g01zu – Initialization function for g01mu and g01eu

nag_stat_init_vavilov – g01zu

G01 – Simple Calculations on Statistical Data