X-Git-Url: https://pintos-os.org/cgi-bin/gitweb.cgi?a=blobdiff_plain;f=src%2Flanguage%2Fstats%2Flogistic.c;h=4ab3f6f6db3fbbf6e22555cb99046fa811b19628;hb=f790dbda9d498eef9c9c0a49078adbeecf768d56;hp=c3a152afc826810ea1b563c9bf7ce6bcb159aed2;hpb=defc31367050b1f574cde53b76c1ab83853a47ed;p=pspp diff --git a/src/language/stats/logistic.c b/src/language/stats/logistic.c index c3a152afc8..4ab3f6f6db 100644 --- a/src/language/stats/logistic.c +++ b/src/language/stats/logistic.c @@ -15,21 +15,21 @@ along with this program. If not, see . */ -/* - References: +/* + References: 1. "Coding Logistic Regression with Newton-Raphson", James McCaffrey http://msdn.microsoft.com/en-us/magazine/jj618304.aspx 2. "SPSS Statistical Algorithms" Chapter LOGISTIC REGRESSION Algorithms - The Newton Raphson method finds successive approximations to $\bf b$ where + The Newton Raphson method finds successive approximations to $\bf b$ where approximation ${\bf b}_t$ is (hopefully) better than the previous ${\bf b}_{t-1}$. $ {\bf b}_t = {\bf b}_{t -1} + ({\bf X}^T{\bf W}_{t-1}{\bf X})^{-1}{\bf X}^T({\bf y} - {\bf \pi}_{t-1})$ where: - $\bf X$ is the $n \times p$ design matrix, $n$ being the number of cases, + $\bf X$ is the $n \times p$ design matrix, $n$ being the number of cases, $p$ the number of parameters, \par $\bf W$ is the diagonal matrix whose diagonal elements are $\hat{\pi}_0(1 - \hat{\pi}_0), \, \hat{\pi}_1(1 - \hat{\pi}_2)\dots \hat{\pi}_{n-1}(1 - \hat{\pi}_{n-1})$ @@ -39,7 +39,7 @@ #include -#include +#include #include #include @@ -146,7 +146,7 @@ struct lr_spec */ struct lr_result { - /* Used to indicate if a pass should flag a warning when + /* Used to indicate if a pass should flag a warning when invalid (ie negative or missing) weight values are encountered */ bool warn_bad_weight; @@ -174,7 +174,7 @@ struct lr_result /* The estimates of the predictor coefficients */ gsl_vector *beta_hat; - /* The predicted classifications: + /* The predicted classifications: True Negative, True Positive, False Negative, False Positive */ double tn, tp, fn, fp; }; @@ -208,7 +208,7 @@ static void output_categories (const struct lr_spec *cmd, const struct lr_result static void output_depvarmap (const struct lr_spec *cmd, const struct lr_result *); -static void output_variables (const struct lr_spec *cmd, +static void output_variables (const struct lr_spec *cmd, const struct lr_result *); static void output_model_summary (const struct lr_result *, @@ -220,13 +220,13 @@ static void case_processing_summary (const struct lr_result *); /* Return the value of case C corresponding to the INDEX'th entry in the model */ static double -predictor_value (const struct ccase *c, - const struct variable **x, size_t n_x, +predictor_value (const struct ccase *c, + const struct variable **x, size_t n_x, const struct categoricals *cats, size_t index) { /* Values of the scalar predictor variables */ - if (index < n_x) + if (index < n_x) return case_data (c, x[index])->f; /* Coded values of categorical predictor variables (or interactions) */ @@ -245,8 +245,8 @@ predictor_value (const struct ccase *c, Return the probability beta_hat (that is the estimator logit(y) ) corresponding to the coefficient estimator for case C */ -static double -pi_hat (const struct lr_spec *cmd, +static double +pi_hat (const struct lr_spec *cmd, const struct lr_result *res, const struct variable **x, size_t n_x, const struct ccase *c) @@ -260,10 +260,10 @@ pi_hat (const struct lr_spec *cmd, pi += gsl_vector_get (res->beta_hat, res->beta_hat->size - 1); n_coeffs--; } - + for (v0 = 0; v0 < n_coeffs; ++v0) { - pi += gsl_vector_get (res->beta_hat, v0) * + pi += gsl_vector_get (res->beta_hat, v0) * predictor_value (c, x, n_x, res->cats, v0); } @@ -276,14 +276,14 @@ pi_hat (const struct lr_spec *cmd, /* Calculates the Hessian matrix X' V X, where: X is the n by N_X matrix comprising the n cases in INPUT - V is a diagonal matrix { (pi_hat_0)(1 - pi_hat_0), (pi_hat_1)(1 - pi_hat_1), ... (pi_hat_{N-1})(1 - pi_hat_{N-1})} + V is a diagonal matrix { (pi_hat_0)(1 - pi_hat_0), (pi_hat_1)(1 - pi_hat_1), ... (pi_hat_{N-1})(1 - pi_hat_{N-1})} (the partial derivative of the predicted values) If ALL predicted values derivatives are close to zero or one, then CONVERGED will be set to true. */ static void -hessian (const struct lr_spec *cmd, +hessian (const struct lr_spec *cmd, struct lr_result *res, struct casereader *input, const struct variable **x, size_t n_x, @@ -330,7 +330,7 @@ hessian (const struct lr_spec *cmd, /* Calculates the value X' (y - pi) - where X is the design model, + where X is the design model, y is the vector of observed independent variables pi is the vector of estimates for y @@ -417,7 +417,7 @@ frq_update (const void *aux1 UNUSED, void *aux2 UNUSED, *freq += weight; } -static void +static void frq_destroy (const void *aux1 UNUSED, void *aux2 UNUSED, void *user_data UNUSED) { free (user_data); @@ -425,7 +425,7 @@ frq_destroy (const void *aux1 UNUSED, void *aux2 UNUSED, void *user_data UNUSED) -/* +/* Makes an initial pass though the data, doing the following: * Checks that the dependent variable is dichotomous, @@ -482,7 +482,7 @@ initial_pass (const struct lr_spec *cmd, struct lr_result *res, struct casereade { missing = true; } - else + else for (v = 0; v < cmd->n_indep_vars; ++v) { const union value *val = case_data (c, cmd->indep_vars[v]); @@ -598,17 +598,17 @@ run_lr (const struct lr_spec *cmd, struct casereader *input, work.hessian = NULL; /* Get the initial estimates of \beta and their standard errors. - And perform other auxilliary initialisation. */ + And perform other auxiliary initialisation. */ if (! initial_pass (cmd, &work, input)) goto error; - + for (i = 0; i < cmd->n_cat_predictors; ++i) { if (1 >= categoricals_n_count (work.cats, i)) { struct string str; ds_init_empty (&str); - + interaction_to_string (cmd->cat_predictors[i], &str); msg (ME, _("Category %s does not have at least two distinct values. Logistic regression will not be run."), @@ -645,7 +645,7 @@ run_lr (const struct lr_spec *cmd, struct casereader *input, double min, max; gsl_vector *v ; - + hessian (cmd, &work, input, cmd->predictor_vars, cmd->n_predictor_vars, &converged); @@ -697,7 +697,7 @@ run_lr (const struct lr_spec *cmd, struct casereader *input, - if ( ! converged) + if ( ! converged) msg (MW, _("Estimation terminated at iteration number %d because maximum iterations has been reached"), i ); @@ -711,7 +711,7 @@ run_lr (const struct lr_spec *cmd, struct casereader *input, casereader_destroy (input); gsl_matrix_free (work.hessian); - gsl_vector_free (work.beta_hat); + gsl_vector_free (work.beta_hat); categoricals_destroy (work.cats); return true; @@ -719,7 +719,7 @@ run_lr (const struct lr_spec *cmd, struct casereader *input, error: casereader_destroy (input); gsl_matrix_free (work.hessian); - gsl_vector_free (work.beta_hat); + gsl_vector_free (work.beta_hat); categoricals_destroy (work.cats); return false; @@ -739,10 +739,10 @@ lookup_variable (const struct hmap *map, const struct variable *var, unsigned in { if (vn->var == var) break; - + fprintf (stderr, "Warning: Hash table collision\n"); } - + return vn; } @@ -783,7 +783,8 @@ cmd_logistic (struct lexer *lexer, struct dataset *ds) if (! (lr.dep_var = parse_variable_const (lexer, lr.dict))) goto error; - lex_force_match (lexer, T_WITH); + if (! lex_force_match (lexer, T_WITH)) + goto error; if (!parse_variables_const (lexer, lr.dict, &pred_vars, &n_pred_vars, @@ -841,7 +842,7 @@ cmd_logistic (struct lexer *lexer, struct dataset *ds) sizeof (*lr.cat_predictors) * ++lr.n_cat_predictors); lr.cat_predictors[lr.n_cat_predictors - 1] = 0; } - while (parse_design_interaction (lexer, lr.dict, + while (parse_design_interaction (lexer, lr.dict, lr.cat_predictors + lr.n_cat_predictors - 1)); lr.n_cat_predictors--; } @@ -989,7 +990,7 @@ cmd_logistic (struct lexer *lexer, struct dataset *ds) goto error; } cp = lex_number (lexer); - + if (cp < 0 || cp > 1.0) { msg (ME, _("Cut point value must be in the range [0,1]")); @@ -1018,9 +1019,9 @@ cmd_logistic (struct lexer *lexer, struct dataset *ds) } lr.ilogit_cut_point = - log (1/cp - 1); - - /* Copy the predictor variables from the temporary location into the + + /* Copy the predictor variables from the temporary location into the final one, dropping any categorical variables which appear there. FIXME: This is O(NxM). */ @@ -1056,7 +1057,7 @@ cmd_logistic (struct lexer *lexer, struct dataset *ds) { vn = xmalloc (sizeof *vn); vn->var = ivar; - + hmap_insert (&allvars, &vn->node, hash); } @@ -1087,7 +1088,7 @@ cmd_logistic (struct lexer *lexer, struct dataset *ds) free (vn); } hmap_destroy (&allvars); - } + } /* logistical regression for each split group */ @@ -1168,8 +1169,8 @@ output_depvarmap (const struct lr_spec *cmd, const struct lr_result *res) tab_text (t, 0, 1 + heading_rows, 0, ds_cstr (&str)); - tab_double (t, 1, 0 + heading_rows, 0, map_dependent_var (cmd, res, &res->y0), &F_8_0); - tab_double (t, 1, 1 + heading_rows, 0, map_dependent_var (cmd, res, &res->y1), &F_8_0); + tab_double (t, 1, 0 + heading_rows, 0, map_dependent_var (cmd, res, &res->y0), NULL, RC_INTEGER); + tab_double (t, 1, 1 + heading_rows, 0, map_dependent_var (cmd, res, &res->y1), NULL, RC_INTEGER); ds_destroy (&str); tab_submit (t); @@ -1178,7 +1179,7 @@ output_depvarmap (const struct lr_spec *cmd, const struct lr_result *res) /* Show the Variables in the Equation box */ static void -output_variables (const struct lr_spec *cmd, +output_variables (const struct lr_spec *cmd, const struct lr_result *res) { int row = 0; @@ -1232,7 +1233,7 @@ output_variables (const struct lr_spec *cmd, tab_text (t, 8, row, TAB_CENTER | TAT_TITLE, _("Lower")); tab_text (t, 9, row, TAB_CENTER | TAT_TITLE, _("Upper")); } - + for (row = heading_rows ; row < nr; ++row) { const int idx = row - heading_rows - idx_correction; @@ -1244,7 +1245,7 @@ output_variables (const struct lr_spec *cmd, if (idx < cmd->n_predictor_vars) { - tab_text (t, 1, row, TAB_LEFT | TAT_TITLE, + tab_text (t, 1, row, TAB_LEFT | TAT_TITLE, var_to_string (cmd->predictor_vars[idx])); } else if (i < cmd->n_cat_predictors) @@ -1263,7 +1264,7 @@ output_variables (const struct lr_spec *cmd, /* Calculate the Wald statistic, which is \beta' C^-1 \beta . where \beta is the vector of the coefficient estimates comprising this - categorial variable. and C is the corresponding submatrix of the + categorial variable. and C is the corresponding submatrix of the hessian matrix. */ gsl_matrix_const_view mv = @@ -1279,9 +1280,9 @@ output_variables (const struct lr_spec *cmd, gsl_blas_dgemv (CblasTrans, 1.0, subhessian, &vv.vector, 0, temp); gsl_blas_ddot (temp, &vv.vector, &wald); - tab_double (t, 4, row, 0, wald, 0); - tab_double (t, 5, row, 0, df, &F_8_0); - tab_double (t, 6, row, 0, gsl_cdf_chisq_Q (wald, df), 0); + tab_double (t, 4, row, 0, wald, NULL, RC_OTHER); + tab_double (t, 5, row, 0, df, NULL, RC_INTEGER); + tab_double (t, 6, row, 0, gsl_cdf_chisq_Q (wald, df), NULL, RC_PVALUE); idx_correction ++; summary = true; @@ -1310,12 +1311,12 @@ output_variables (const struct lr_spec *cmd, tab_text (t, 1, row, TAB_LEFT | TAT_TITLE, _("Constant")); } - tab_double (t, 2, row, 0, b, 0); - tab_double (t, 3, row, 0, sqrt (sigma2), 0); - tab_double (t, 4, row, 0, wald, 0); - tab_double (t, 5, row, 0, df, &F_8_0); - tab_double (t, 6, row, 0, gsl_cdf_chisq_Q (wald, df), 0); - tab_double (t, 7, row, 0, exp (b), 0); + tab_double (t, 2, row, 0, b, NULL, RC_OTHER); + tab_double (t, 3, row, 0, sqrt (sigma2), NULL, RC_OTHER); + tab_double (t, 4, row, 0, wald, NULL, RC_OTHER); + tab_double (t, 5, row, 0, df, NULL, RC_INTEGER); + tab_double (t, 6, row, 0, gsl_cdf_chisq_Q (wald, df), NULL, RC_PVALUE); + tab_double (t, 7, row, 0, exp (b), NULL, RC_OTHER); if (cmd->print & PRINT_CI) { @@ -1328,8 +1329,8 @@ output_variables (const struct lr_spec *cmd, if (row < last_ci) { - tab_double (t, 8, row, 0, exp (b - wc), 0); - tab_double (t, 9, row, 0, exp (b + wc), 0); + tab_double (t, 8, row, 0, exp (b - wc), NULL, RC_OTHER); + tab_double (t, 9, row, 0, exp (b + wc), NULL, RC_OTHER); } } } @@ -1363,15 +1364,15 @@ output_model_summary (const struct lr_result *res, tab_text (t, 0, 0, TAB_LEFT | TAT_TITLE, _("Step 1")); tab_text (t, 1, 0, TAB_CENTER | TAT_TITLE, _("-2 Log likelihood")); - tab_double (t, 1, 1, 0, -2 * log_likelihood, 0); + tab_double (t, 1, 1, 0, -2 * log_likelihood, NULL, RC_OTHER); tab_text (t, 2, 0, TAB_CENTER | TAT_TITLE, _("Cox & Snell R Square")); cox = 1.0 - exp((initial_log_likelihood - log_likelihood) * (2 / res->cc)); - tab_double (t, 2, 1, 0, cox, 0); + tab_double (t, 2, 1, 0, cox, NULL, RC_OTHER); tab_text (t, 3, 0, TAB_CENTER | TAT_TITLE, _("Nagelkerke R Square")); - tab_double (t, 3, 1, 0, cox / ( 1.0 - exp(initial_log_likelihood * (2 / res->cc))), 0); + tab_double (t, 3, 1, 0, cox / ( 1.0 - exp(initial_log_likelihood * (2 / res->cc))), NULL, RC_OTHER); tab_submit (t); @@ -1408,15 +1409,15 @@ case_processing_summary (const struct lr_result *res) tab_text (t, 0, 2, TAB_LEFT | TAT_TITLE, _("Missing Cases")); tab_text (t, 0, 3, TAB_LEFT | TAT_TITLE, _("Total")); - tab_double (t, 1, 1, 0, res->n_nonmissing, &F_8_0); - tab_double (t, 1, 2, 0, res->n_missing, &F_8_0); + tab_double (t, 1, 1, 0, res->n_nonmissing, NULL, RC_INTEGER); + tab_double (t, 1, 2, 0, res->n_missing, NULL, RC_INTEGER); total = res->n_nonmissing + res->n_missing; - tab_double (t, 1, 3, 0, total , &F_8_0); + tab_double (t, 1, 3, 0, total , NULL, RC_INTEGER); - tab_double (t, 2, 1, 0, 100 * res->n_nonmissing / (double) total, 0); - tab_double (t, 2, 2, 0, 100 * res->n_missing / (double) total, 0); - tab_double (t, 2, 3, 0, 100 * total / (double) total, 0); + tab_double (t, 2, 1, 0, 100 * res->n_nonmissing / (double) total, NULL, RC_OTHER); + tab_double (t, 2, 2, 0, 100 * res->n_missing / (double) total, NULL, RC_OTHER); + tab_double (t, 2, 3, 0, 100 * total / (double) total, NULL, RC_OTHER); tab_submit (t); } @@ -1454,6 +1455,8 @@ output_categories (const struct lr_spec *cmd, const struct lr_result *res) nr = heading_rows + total_cats; t = tab_create (nc, nr); + tab_set_format (t, RC_WEIGHT, wfmt); + tab_title (t, _("Categorical Variables' Codings")); tab_headers (t, heading_columns, 0, heading_rows, 0); @@ -1496,7 +1499,7 @@ output_categories (const struct lr_spec *cmd, const struct lr_result *res) struct string str; const struct ccase *c = categoricals_get_case_by_category_real (res->cats, v, cat); const double *freq = categoricals_get_user_data_by_category_real (res->cats, v, cat); - + int x; ds_init_empty (&str); @@ -1508,14 +1511,14 @@ output_categories (const struct lr_spec *cmd, const struct lr_result *res) if (x < cat_predictors->n_vars - 1) ds_put_cstr (&str, " "); } - + tab_text (t, 1, heading_rows + r, 0, ds_cstr (&str)); ds_destroy (&str); - tab_double (t, 2, heading_rows + r, 0, *freq, wfmt); + tab_double (t, 2, heading_rows + r, 0, *freq, NULL, RC_WEIGHT); for (x = 0; x < df; ++x) { - tab_double (t, heading_columns + 1 + x, heading_rows + r, 0, (cat == x), &F_8_0); + tab_double (t, heading_columns + 1 + x, heading_rows + r, 0, (cat == x), NULL, RC_INTEGER); } ++r; } @@ -1527,7 +1530,7 @@ output_categories (const struct lr_spec *cmd, const struct lr_result *res) } -static void +static void output_classification_table (const struct lr_spec *cmd, const struct lr_result *res) { const struct fmt_spec *wfmt = @@ -1542,6 +1545,7 @@ output_classification_table (const struct lr_spec *cmd, const struct lr_result * const int nr = heading_rows + 3; struct tab_table *t = tab_create (nc, nr); + tab_set_format (t, RC_WEIGHT, wfmt); ds_init_empty (&sv0); ds_init_empty (&sv1); @@ -1562,7 +1566,7 @@ output_classification_table (const struct lr_spec *cmd, const struct lr_result * tab_joint_text (t, heading_columns, 0, nc - 1, 0, TAB_CENTER | TAT_TITLE, _("Predicted")); - tab_joint_text (t, heading_columns, 1, heading_columns + 1, 1, + tab_joint_text (t, heading_columns, 1, heading_columns + 1, 1, 0, var_to_string (cmd->dep_var) ); tab_joint_text (t, 1, 2, 2, 2, @@ -1593,17 +1597,17 @@ output_classification_table (const struct lr_spec *cmd, const struct lr_result * ds_destroy (&sv0); ds_destroy (&sv1); - tab_double (t, heading_columns, 3, 0, res->tn, wfmt); - tab_double (t, heading_columns + 1, 4, 0, res->tp, wfmt); + tab_double (t, heading_columns, 3, 0, res->tn, NULL, RC_WEIGHT); + tab_double (t, heading_columns + 1, 4, 0, res->tp, NULL, RC_WEIGHT); - tab_double (t, heading_columns + 1, 3, 0, res->fp, wfmt); - tab_double (t, heading_columns, 4, 0, res->fn, wfmt); + tab_double (t, heading_columns + 1, 3, 0, res->fp, NULL, RC_WEIGHT); + tab_double (t, heading_columns, 4, 0, res->fn, NULL, RC_WEIGHT); - tab_double (t, heading_columns + 2, 3, 0, 100 * res->tn / (res->tn + res->fp), 0); - tab_double (t, heading_columns + 2, 4, 0, 100 * res->tp / (res->tp + res->fn), 0); + tab_double (t, heading_columns + 2, 3, 0, 100 * res->tn / (res->tn + res->fp), NULL, RC_OTHER); + tab_double (t, heading_columns + 2, 4, 0, 100 * res->tp / (res->tp + res->fn), NULL, RC_OTHER); - tab_double (t, heading_columns + 2, 5, 0, - 100 * (res->tp + res->tn) / (res->tp + res->tn + res->fp + res->fn), 0); + tab_double (t, heading_columns + 2, 5, 0, + 100 * (res->tp + res->tn) / (res->tp + res->tn + res->fp + res->fn), NULL, RC_OTHER); tab_submit (t);