This manual relates to an old release of the Library.
The documentation for the current release is also available on this site.

g02 Chapter Contents (PDF version)
g02 Chapter Introduction
NAG Library Manual

NAG Library Chapter Contents

g02 – Correlation and Regression Analysis

g02 Chapter Introduction

Function
Name
Mark of
Introduction

Purpose
g02aac
Example Text
9 nag_nearest_correlation
Computes the nearest correlation matrix to a real square matrix, using the method of Qi and Sun
g02abc
Example Text
Example Data
23 nag_nearest_correlation_bounded
Computes the nearest correlation matrix to a real square matrix, augmented nag_nearest_correlation (g02aac) to incorporate weights and bounds
g02aec
Example Text
Example Data
23 nag_nearest_correlation_k_factor
Computes the nearest correlation matrix with k-factor structure to a real square matrix
g02ajc
Example Text
Example Data
24 nag_nearest_correlation_h_weight
Computes the nearest correlation matrix to a real square matrix, using element-wise weighting
g02brc
Example Text
Example Data
3 nag_ken_spe_corr_coeff
Kendall and/or Spearman non-parametric rank correlation coefficients, allows variables and observations to be selectively disregarded
g02btc
Example Text
Example Data
7 nag_sum_sqs_update
Update a weighted sum of squares matrix with a new observation
g02buc
Example Text
Example Data
7 nag_sum_sqs
Computes a weighted sum of squares matrix
g02bwc
Example Text
Example Data
7 nag_cov_to_corr
Computes a correlation matrix from a sum of squares matrix
g02bxc
Example Text
Example Data
3 nag_corr_cov
Product-moment correlation, unweighted/weighted correlation and covariance matrix, allows variables to be disregarded
g02byc
Example Text
Example Data
6 nag_partial_corr
Computes partial correlation/variance-covariance matrix from correlation/variance-covariance matrix computed by nag_corr_cov (g02bxc)
g02bzc
Example Text
Example Data
24 nag_sum_sqs_combine
Combines two sums of squares matrices, for use after nag_sum_sqs (g02buc)
g02cac
Example Text
Example Data
3 nag_simple_linear_regression
Simple linear regression with or without a constant term, data may be weighted
g02cbc
Example Text
Example Data
3 nag_regress_confid_interval
Simple linear regression confidence intervals for the regression line and individual points
g02dac
Example Text
Example Data
1 nag_regsn_mult_linear
Fits a general (multiple) linear regression model
g02dcc
Example Text
Example Data
2 nag_regsn_mult_linear_addrem_obs
Add/delete an observation to/from a general linear regression model
g02ddc
Example Text
Example Data
2 nag_regsn_mult_linear_upd_model
Estimates of regression parameters from an updated model
g02dec
Example Text
Example Data
2 nag_regsn_mult_linear_add_var
Add a new independent variable to a general linear regression model
g02dfc
Example Text
Example Data
2 nag_regsn_mult_linear_delete_var
Delete an independent variable from a general linear regression model
g02dgc
Example Text
Example Data
1 nag_regsn_mult_linear_newyvar
Fits a general linear regression model to new dependent variable
g02dkc
Example Text
Example Data
2 nag_regsn_mult_linear_tran_model
Estimates of parameters of a general linear regression model for given constraints
g02dnc
Example Text
Example Data
2 nag_regsn_mult_linear_est_func
Estimate of an estimable function for a general linear regression model
g02eac
Example Text
Example Data
7 nag_all_regsn
Computes residual sums of squares for all possible linear regressions for a set of independent variables
g02ecc
Example Text
Example Data
7 nag_cp_stat
Calculates R2 and CP values from residual sums of squares
g02eec
Example Text
Example Data
7 nag_step_regsn
Fits a linear regression model by forward selection
g02efc
Example Text
Example Data
8 nag_full_step_regsn
Stepwise linear regression
g02ewc 8 nag_full_step_regsn_monit
Monitor function for full stepwise regression
Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
g02fac
Example Text
Example Data
1 nag_regsn_std_resid_influence
Calculates standardized residuals and influence statistics
g02fcc
Example Text
Example Data
7 nag_durbin_watson_stat
Computes Durbin–Watson test statistic
g02gac
Example Text
Example Data
4 nag_glm_normal
Fits a generalized linear model with Normal errors
g02gbc
Example Text
Example Data
4 nag_glm_binomial
Fits a generalized linear model with binomial errors
g02gcc
Example Text
Example Data
4 nag_glm_poisson
Fits a generalized linear model with Poisson errors
g02gdc
Example Text
Example Data
4 nag_glm_gamma
Fits a generalized linear model with gamma errors
g02gkc
Example Text
Example Data
4 nag_glm_tran_model
Estimates and standard errors of parameters of a general linear model for given constraints
g02gnc
Example Text
Example Data
4 nag_glm_est_func
Estimable function and the standard error of a generalized linear model
g02gpc
Example Text
Example Data
9 nag_glm_predict
Computes a predicted value and its associated standard error based on a previously fitted generalized linear model
g02hac
Example Text
Example Data
4 nag_robust_m_regsn_estim
Robust regression, standard M-estimates
g02hbc
Example Text
Example Data
7 nag_robust_m_regsn_wts
Robust regression, compute weights for use with nag_robust_m_regsn_user_fn (g02hdc)
g02hdc
Example Text
Example Data
7 nag_robust_m_regsn_user_fn
Robust regression, compute regression with user-supplied functions and weights
g02hfc
Example Text
Example Data
7 nag_robust_m_regsn_param_var
Robust regression, variance-covariance matrix following nag_robust_m_regsn_user_fn (g02hdc)
g02hkc
Example Text
Example Data
4 nag_robust_corr_estim
Robust estimation of a correlation matrix, Huber's weight function
g02hlc
Example Text
Example Data
7 nag_robust_m_corr_user_fn
Calculates a robust estimation of a correlation matrix, user-supplied weight function plus derivatives
g02hmc
Example Text
Example Data
7 nag_robust_m_corr_user_fn_no_derr
Calculates a robust estimation of a correlation matrix, user-supplied weight function
g02jac
Example Text
Example Data
8 nag_reml_mixed_regsn
Linear mixed effects regression using Restricted Maximum Likelihood (REML)
g02jbc
Example Text
Example Data
8 nag_ml_mixed_regsn
Linear mixed effects regression using Maximum Likelihood (ML)
g02jcc 9 nag_hier_mixed_init
Hierarchical mixed effects regression, initialization function for nag_reml_hier_mixed_regsn (g02jdc) and nag_ml_hier_mixed_regsn (g02jec)
g02jdc
Example Text
Example Data
9 nag_reml_hier_mixed_regsn
Hierarchical mixed effects regression using Restricted Maximum Likelihood (REML)
g02jec
Example Text
Example Data
9 nag_ml_hier_mixed_regsn
Hierarchical mixed effects regression using Maximum Likelihood (ML)
g02kac
Example Text
Example Data
9 nag_regsn_ridge_opt
Ridge regression, optimizing a ridge regression parameter
g02kbc
Example Text
Example Data
9 nag_regsn_ridge
Ridge regression using a number of supplied ridge regression parameters
g02lac
Example Text
Example Data
9 nag_pls_orth_scores_svd
Partial least squares (PLS) regression using singular value decomposition
g02lbc
Example Text
Example Data
9 nag_pls_orth_scores_wold
Partial least squares (PLS) regression using Wold's iterative method
g02lcc
Example Text
Example Data
9 nag_pls_orth_scores_fit
PLS parameter estimates following partial least squares regression by nag_pls_orth_scores_svd (g02lac) or nag_pls_orth_scores_wold (g02lbc)
g02ldc
Example Text
Example Data
9 nag_pls_orth_scores_pred
PLS predictions based on parameter estimates from nag_pls_orth_scores_fit (g02lcc)
g02qfc
Example Text
Example Data
Example Plot
23 nag_regsn_quant_linear_iid
Linear quantile regression, simple interface, independent, identically distributed (IID) errors
g02qgc
Example Text
Example Data
Example Plot
23 nag_regsn_quant_linear
Linear quantile regression, comprehensive interface
g02zkc 23 nag_g02_opt_set
Option setting function for nag_regsn_quant_linear (g02qgc)
g02zlc 23 nag_g02_opt_get
Option getting function for nag_regsn_quant_linear (g02qgc)

g02 Chapter Contents (PDF version)
g02 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2014