G01 Chapter Contents : NAG Library Manual, Mark 26

Routine Name	Mark of Introduction	Purpose
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_withdraw_plot_scatter_2var Lineprinter scatterplot of two variables Note: this routine is scheduled for withdrawal at Mark 27, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
g01ahf Example Text Example Data	8	nagf_stat_withdraw_plot_scatter_normal Lineprinter scatterplot of one variable against Normal scores Note: this routine is scheduled for withdrawal at Mark 27, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
g01ajf Example Text Example Data	10	nagf_stat_withdraw_plot_histogram Lineprinter histogram of one variable Note: this routine is scheduled for withdrawal at Mark 27, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
g01alf Example Text Example Data	14	nagf_stat_five_point_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 Plot	8	nagf_stat_normal_scores_exact Normal scores, accurate values
g01dbf Example Text Example 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 $χ^{2}$ 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
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 $χ^{2}$ 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_stat_prob_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 Example 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 Data Example 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 $ϕ (λ)$
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 (stat)
Simple Calculations on Statistical Data

NAG Library Chapter Contents

G01 (stat)Simple Calculations on Statistical Data

G01 (stat)
Simple Calculations on Statistical Data