# 6.28 G01 Simple Calculations on Statistical Data

Routine Name Mark of Introduction Purpose
g01aac 1 nag_summary_stats_1var
Mean, variance, skewness, kurtosis, etc., one variable, from raw data
Note: this function is scheduled for withdrawal at Mark 26, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
Mean, variance, skewness, kurtosis, etc., one variable, from frequency table
g01aec 6 nag_frequency_table
Frequency table from raw data
g01alc 4 nag_5pt_summary_stats
Five-point summary (median, hinges and extremes)
g01amc 9 nag_double_quantiles
Quantiles of a set of unordered values
g01anc 23 nag_approx_quantiles_fixed
Calculates approximate quantiles from a data stream of known size
g01apc 23 nag_approx_quantiles_arbitrary
Calculates approximate quantiles from a data stream of unknown size
g01atc 24 nag_summary_stats_onevar
Computes univariate summary information: mean, variance, skewness, kurtosis
g01auc 24 nag_summary_stats_onevar_combine
Combines multiple sets of summary information, for use after nag_summary_stats_onevar (g01atc)
g01bjc 4 nag_binomial_dist
Binomial distribution function
g01bkc 4 nag_poisson_dist
Poisson distribution function
g01blc 4 nag_hypergeom_dist
Hypergeometric distribution function
g01dac 7 nag_normal_scores_exact
Normal scores, accurate values
g01dcc 7 nag_normal_scores_var
Normal scores, approximate variance-covariance matrix
g01ddc 4 nag_shapiro_wilk_test
Shapiro and Wilk's W test for Normality
g01dhc 4 nag_ranks_and_scores
Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores
g01eac 4 nag_prob_normal
Probabilities for the standard Normal distribution
g01ebc 1 nag_prob_students_t
Probabilities for Student's t-distribution
g01ecc 1 nag_prob_chi_sq
Probabilities for χ2 distribution
g01edc 1 nag_prob_f_dist
Probabilities for F-distribution
g01eec 1 nag_prob_beta_dist
Upper and lower tail probabilities and probability density function for the beta distribution
g01efc 1 nag_gamma_dist
Probabilities for the gamma distribution
g01emc 7 nag_prob_studentized_range
Computes probability for the Studentized range statistic
g01epc 7 nag_prob_durbin_watson
Computes bounds for the significance of a Durbin–Watson statistic
g01erc 7 nag_prob_von_mises
Computes probability for von Mises distribution
g01etc 7 nag_prob_landau
Landau distribution function
g01euc 7 nag_prob_vavilov
Vavilov distribution function
g01ewc 25 nag_prob_dickey_fuller_unit
Computes probabilities for the Dickey–Fuller unit root test
g01eyc 7 nag_prob_1_sample_ks
Computes probabilities for the one-sample Kolmogorov–Smirnov distribution
g01ezc 7 nag_prob_2_sample_ks
Computes probabilities for the two-sample Kolmogorov–Smirnov distribution
g01fac 4 nag_deviates_normal
Deviates for the Normal distribution
g01fbc 1 nag_deviates_students_t
Deviates for Student's t-distribution
g01fcc 1 nag_deviates_chi_sq
Deviates for the χ2 distribution
g01fdc 1 nag_deviates_f_dist
Deviates for the F-distribution
g01fec 1 nag_deviates_beta
Deviates for the beta distribution
g01ffc 1 nag_deviates_gamma_dist
Deviates for the gamma distribution
g01fmc 7 nag_deviates_studentized_range
Computes deviates for the Studentized range statistic
g01ftc 7 nag_deviates_landau
Landau inverse function Ψ (x)
g01gbc 6 nag_prob_non_central_students_t
Computes probabilities for the non-central Student's t-distribution
g01gcc 6 nag_prob_non_central_chi_sq
Computes probabilities for the non-central χ2 distribution
g01gdc 6 nag_prob_non_central_f_dist
Computes probabilities for the non-central F-distribution
g01gec 6 nag_prob_non_central_beta_dist
Computes probabilities for the non-central beta distribution
g01hac 1 nag_bivariate_normal_dist
Probability for the bivariate Normal distribution
g01hbc 6 nag_multi_normal
Computes probabilities for the multivariate Normal distribution
g01hcc 23 nag_bivariate_students_t
Computes probabilities for the bivariate Student's t-distribution
g01hdc 24 nag_multi_students_t
Computes the probability for the multivariate Student's t-distribution
g01jcc 7 nag_prob_lin_non_central_chi_sq
Computes probability for a positive linear combination of χ2 variables
g01jdc 7 nag_prob_lin_chi_sq
Computes lower tail probability for a linear combination of (central) χ2 variables
g01kac 9 nag_normal_pdf
Calculates the value for the probability density function of the Normal distribution at a chosen point
g01kfc 9 nag_gamma_pdf
Calculates the value for the probability density function of the gamma distribution at a chosen point
g01kkc 23 nag_gamma_pdf_vector
Computes a vector of values for the probability density function of the gamma distribution
g01kqc 23 nag_normal_pdf_vector
Computes a vector of values for the probability density function of the Normal distribution
g01lbc 24 nag_multi_normal_pdf_vector
Computes a vector of values for the probability density function of the multivariate Normal distribution
g01mbc 7 nag_mills_ratio
Computes reciprocal of Mills' Ratio
g01mtc 7 nag_prob_density_landau
Landau density function ϕ (λ)
g01muc 7 nag_prob_density_vavilov
Vavilov density function ϕV (λ ;κ , β2)
Cumulants and moments of quadratic forms in Normal variables
Moments of ratios of quadratic forms in Normal variables, and related statistics
g01ptc 7 nag_moment_1_landau
Landau first moment function Φ1(x)
g01qtc 7 nag_moment_2_landau
Landau second moment function Φ2(x)
g01rtc 7 nag_prob_der_landau
Landau derivative function ϕ (λ)
g01sac 23 nag_prob_normal_vector
Computes a vector of probabilities for the standard Normal distribution
g01sbc 23 nag_prob_students_t_vector
Computes a vector of probabilities for the Student's t-distribution
g01scc 23 nag_prob_chi_sq_vector
Computes a vector of probabilities for χ2 distribution
g01sdc 23 nag_prob_f_vector
Computes a vector of probabilities for F-distribution
g01sec 23 nag_prob_beta_vector
Computes a vector of probabilities for the beta distribution
g01sfc 23 nag_prob_gamma_vector
Computes a vector of probabilities for the gamma distribution
g01sjc 23 nag_prob_binomial_vector
Computes a vector of probabilities for the binomial distribution
g01skc 23 nag_prob_poisson_vector
Computes a vector of probabilities for the Poisson distribution
g01slc 23 nag_prob_hypergeom_vector
Computes a vector of probabilities for the hypergeometric distribution
g01tac 23 nag_deviates_normal_vector
Computes a vector of deviates for the standard Normal distribution
g01tbc 23 nag_deviates_students_t_vector
Computes a vector of deviates for Student's t-distribution
g01tcc 23 nag_deviates_chi_sq_vector
Computes a vector of deviates for χ2 distribution
g01tdc 23 nag_deviates_f_vector
Computes a vector of deviates for F-distribution
g01tec 23 nag_deviates_beta_vector
Computes a vector of deviates for the beta distribution
g01tfc 23 nag_deviates_gamma_vector
Computes a vector of deviates for the gamma distribution
g01wac 24 nag_moving_average
Computes the mean and standard deviation using a rolling window
g01zuc 7 nag_init_vavilov
Initialization function for nag_prob_density_vavilov (g01muc) and nag_prob_vavilov (g01euc)