| Function Name |
Mark of Introduction |
Purpose |
| g01aac
Example Text Example Data |
1 | nag_summary_stats_1var Mean, variance, skewness, kurtosis, etc., one variable, from raw data |
| g01adc
Example Text Example Data |
7 | nag_summary_stats_freq Mean, variance, skewness, kurtosis, etc., one variable, from frequency table |
| g01aec
Example Text Example Data |
6 | nag_frequency_table Frequency table from raw data |
| g01alc
Example Text Example Data |
4 | nag_5pt_summary_stats Five-point summary (median, hinges and extremes) |
| g01amc
Example Text Example Data |
9 | nag_double_quantiles Quantiles of a set of unordered values |
| g01bjc
Example Text Example Data |
4 | nag_binomial_dist Binomial distribution function |
| g01bkc
Example Text Example Data |
4 | nag_poisson_dist Poisson distribution function |
| g01blc
Example Text Example Data |
4 | nag_hypergeom_dist Hypergeometric distribution function |
| g01cec
Example Text |
1 | nag_deviates_normal_dist Deviate of Normal distribution function Note: this function is scheduled for withdrawal at Mark 11, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information. |
| g01dac
Example Text |
7 | nag_normal_scores_exact Normal scores, accurate values |
| g01dcc
Example Text |
7 | nag_normal_scores_var Normal scores, approximate variance-covariance matrix |
| g01ddc
Example Text Example Data |
4 | nag_shapiro_wilk_test Shapiro and Wilk's W test for Normality |
| g01dhc
Example Text Example Data |
4 | nag_ranks_and_scores Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores |
| g01eac
Example Text Example Data |
4 | nag_prob_normal Probabilities for the standard Normal distribution |
| g01ebc
Example Text Example Data |
1 | nag_prob_students_t Probabilities for Student's t-distribution |
| g01ecc
Example Text Example Data |
1 | nag_prob_chi_sq Probabilities for χ2 distribution |
| g01edc
Example Text Example Data |
1 | nag_prob_f_dist Probabilities for F-distribution |
| g01eec
Example Text Example Data |
1 | nag_prob_beta_dist Upper and lower tail probabilities and probability density function for the beta distribution |
| g01efc
Example Text Example Data |
1 | nag_gamma_dist Probabilities for the gamma distribution |
| g01emc
Example Text Example Data |
7 | nag_prob_studentized_range Computes probability for the Studentized range statistic |
| g01epc
Example Text Example Data |
7 | nag_prob_durbin_watson Computes bounds for the significance of a Durbin–Watson statistic |
| g01erc
Example Text Example Data |
7 | nag_prob_von_mises Computes probability for von Mises distribution |
| g01etc
Example Text Example Data |
7 | nag_prob_landau Landau distribution function Φ(λ) |
| g01euc
Example Text Example Data |
7 | nag_prob_vavilov Vavilov distribution function ΦV(λ ; κ,β2) |
| g01eyc
Example Text Example Data |
7 | nag_prob_1_sample_ks Computes probabilities for the one-sample Kolmogorov–Smirnov distribution |
| g01ezc
Example Text Example Data |
7 | nag_prob_2_sample_ks Computes probabilities for the two-sample Kolmogorov–Smirnov distribution |
| g01fac
Example Text Example Data |
4 | nag_deviates_normal Deviates for the Normal distribution |
| g01fbc
Example Text Example Data |
1 | nag_deviates_students_t Deviates for Student's t-distribution |
| g01fcc
Example Text Example Data |
1 | nag_deviates_chi_sq Deviates for the χ2 distribution |
| g01fdc
Example Text Example Data |
1 | nag_deviates_f_dist Deviates for the F-distribution |
| g01fec
Example Text Example Data |
1 | nag_deviates_beta Deviates for the beta distribution |
| g01ffc
Example Text Example Data |
1 | nag_deviates_gamma_dist Deviates for the gamma distribution |
| g01fmc
Example Text Example Data |
7 | nag_deviates_studentized_range Computes deviates for the Studentized range statistic |
| g01ftc
Example Text Example Data |
7 | nag_deviates_landau Landau inverse function Ψ(x) |
| g01gbc
Example Text Example Data |
6 | nag_prob_non_central_students_t Computes probabilities for the non-central Student's t-distribution |
| g01gcc
Example Text Example Data |
6 | nag_prob_non_central_chi_sq Computes probabilities for the non-central χ2 distribution |
| g01gdc
Example Text Example Data |
6 | nag_prob_non_central_f_dist Computes probabilities for the non-central F-distribution |
| g01gec
Example Text Example Data |
6 | nag_prob_non_central_beta_dist Computes probabilities for the non-central beta distribution |
| g01hac
Example Text Example Data |
1 | nag_bivariate_normal_dist Probability for the bivariate Normal distribution |
| g01hbc
Example Text Example Data |
6 | nag_multi_normal Computes probabilities for the multivariate Normal distribution |
| g01jcc
Example Text Example Data |
7 | nag_prob_lin_non_central_chi_sq Computes probability for a positive linear combination of χ2 variables |
| g01jdc
Example Text Example Data |
7 | nag_prob_lin_chi_sq Computes lower tail probability for a linear combination of (central) χ2 variables |
| g01kac
Example Text Example Data |
9 | nag_normal_pdf Calculates the value for the probability density function of the Normal distribution at a chosen point. |
| g01kfc
Example Text Example Data |
9 | nag_gamma_pdf Calculates the value for the probability density function of the γ distribution at a chosen point. |
| g01mbc
Example Text Example Data |
7 | nag_mills_ratio Computes reciprocal of Mills' Ratio |
| g01mtc
Example Text Example Data |
7 | nag_prob_density_landau Landau density function φ(λ) |
| g01muc
Example Text Example Data |
7 | nag_prob_density_vavilov Vavilov density function φV(λ ; κ,β2) |
| g01nac
Example Text Example Data |
7 | nag_moments_quad_form Cumulants and moments of quadratic forms in Normal variables |
| g01nbc
Example Text Example Data |
7 | nag_moments_ratio_quad_forms Moments of ratios of quadratic forms in Normal variables, and related statistics |
| g01ptc
Example Text Example Data |
7 | nag_moment_1_landau Landau first moment function Φ1(x) |
| g01qtc
Example Text Example Data |
7 | nag_moment_2_landau Landau second moment function Φ2(x) |
| g01rtc
Example Text Example Data |
7 | nag_prob_der_landau Landau derivative function φ ′ (λ) |
| g01zuc | 7 | nag_init_vavilov Initialization function for nag_prob_density_vavilov (g01muc) and nag_prob_vavilov (g01euc) |