G01 Chapter Contents : NAG Library Manual, Mark 27

Routine	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
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 FL InterfaceG01 (Stat)Simple Calculations on Statistical Data

NAG FL Interface
G01 (Stat)
Simple Calculations on Statistical Data