X-Git-Url: https://pintos-os.org/cgi-bin/gitweb.cgi?a=blobdiff_plain;f=src%2Flanguage%2Fstats%2Ffactor.c;h=c1ce93aaec3fbbcce445875187862b6e4e607a37;hb=edd5c738dfef01c90d02e06a33b93fc9d38320b8;hp=472c340fd7feab0feab6c2f89ecc22b0d148c80f;hpb=3dd0f6ae0d5eb73a2270a243e443c4ae03c2c16e;p=pspp diff --git a/src/language/stats/factor.c b/src/language/stats/factor.c index 472c340fd7..c1ce93aaec 100644 --- a/src/language/stats/factor.c +++ b/src/language/stats/factor.c @@ -1,5 +1,6 @@ /* PSPP - a program for statistical analysis. - Copyright (C) 2009, 2010, 2011, 2012, 2014, 2015, 2016 Free Software Foundation, Inc. + Copyright (C) 2009, 2010, 2011, 2012, 2014, 2015, + 2016, 2017 Free Software Foundation, Inc. This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by @@ -24,6 +25,7 @@ #include #include +#include "data/any-reader.h" #include "data/casegrouper.h" #include "data/casereader.h" #include "data/casewriter.h" @@ -35,6 +37,8 @@ #include "language/lexer/lexer.h" #include "language/lexer/value-parser.h" #include "language/lexer/variable-parser.h" +#include "language/data-io/file-handle.h" +#include "language/data-io/matrix-reader.h" #include "libpspp/cast.h" #include "libpspp/message.h" #include "libpspp/misc.h" @@ -45,6 +49,7 @@ #include "output/charts/scree.h" #include "output/tab.h" + #include "gettext.h" #define _(msgid) gettext (msgid) #define N_(msgid) msgid @@ -221,13 +226,13 @@ struct cmd_factor bool sort; }; + struct idata { /* Intermediate values used in calculation */ + struct matrix_material mm; - const gsl_matrix *corr ; /* The correlation matrix */ - gsl_matrix *cov ; /* The covariance matrix */ - const gsl_matrix *n ; /* Matrix of number of samples */ + gsl_matrix *analysis_matrix; /* A pointer to either mm.corr or mm.cov */ gsl_vector *eval ; /* The eigenvalues */ gsl_matrix *evec ; /* The eigenvectors */ @@ -237,6 +242,8 @@ struct idata gsl_vector *msr ; /* Multiple Squared Regressions */ double detR; /* The determinant of the correlation matrix */ + + struct covariance *cvm; }; static struct idata * @@ -259,10 +266,6 @@ idata_free (struct idata *id) gsl_vector_free (id->msr); gsl_vector_free (id->eval); gsl_matrix_free (id->evec); - if (id->cov != NULL) - gsl_matrix_free (id->cov); - if (id->corr != NULL) - gsl_matrix_free (CONST_CAST (gsl_matrix *, id->corr)); free (id); } @@ -1002,11 +1005,14 @@ iterate_factor_matrix (const gsl_matrix *r, gsl_vector *communalities, gsl_matri static bool run_factor (struct dataset *ds, const struct cmd_factor *factor); +static bool do_factor_by_matrix (const struct cmd_factor *factor, struct idata *idata); + + int cmd_factor (struct lexer *lexer, struct dataset *ds) { - const struct dictionary *dict = dataset_dict (ds); + struct dictionary *dict = NULL; int n_iterations = 25; struct cmd_factor factor; factor.n_vars = 0; @@ -1026,26 +1032,77 @@ cmd_factor (struct lexer *lexer, struct dataset *ds) factor.sort = false; factor.plot = 0; factor.rotation = ROT_VARIMAX; + factor.wv = NULL; factor.rconverge = 0.0001; - factor.wv = dict_get_weight (dict); - lex_match (lexer, T_SLASH); - if (!lex_force_match_id (lexer, "VARIABLES")) + struct matrix_reader *mr = NULL; + struct casereader *matrix_reader = NULL; + + if (lex_match_id (lexer, "VARIABLES")) { - goto error; + lex_match (lexer, T_EQUALS); + dict = dataset_dict (ds); + factor.wv = dict_get_weight (dict); + + if (!parse_variables_const (lexer, dict, &factor.vars, &factor.n_vars, + PV_NO_DUPLICATE | PV_NUMERIC)) + goto error; } + else if (lex_match_id (lexer, "MATRIX")) + { + lex_match (lexer, T_EQUALS); + if (! lex_force_match_id (lexer, "IN")) + goto error; + if (!lex_force_match (lexer, T_LPAREN)) + { + goto error; + } + if (lex_match_id (lexer, "CORR")) + { + } + else if (lex_match_id (lexer, "COV")) + { + } + else + { + lex_error (lexer, _("Matrix input for %s must be either COV or CORR"), "FACTOR"); + goto error; + } + if (! lex_force_match (lexer, T_EQUALS)) + goto error; + if (lex_match (lexer, T_ASTERISK)) + { + dict = dataset_dict (ds); + matrix_reader = casereader_clone (dataset_source (ds)); + } + else + { + struct file_handle *fh = fh_parse (lexer, FH_REF_FILE, NULL); + if (fh == NULL) + goto error; + + matrix_reader + = any_reader_open_and_decode (fh, NULL, &dict, NULL); - lex_match (lexer, T_EQUALS); + if (! (matrix_reader && dict)) + { + goto error; + } + } - if (!parse_variables_const (lexer, dict, &factor.vars, &factor.n_vars, - PV_NO_DUPLICATE | PV_NUMERIC)) - goto error; + if (! lex_force_match (lexer, T_RPAREN)) + goto error; - if (factor.n_vars < 2) - msg (MW, _("Factor analysis on a single variable is not useful.")); + mr = create_matrix_reader_from_case_reader (dict, matrix_reader, + &factor.vars, &factor.n_vars); + } + else + { + goto error; + } while (lex_token (lexer) != T_ENDCMD) { @@ -1320,11 +1377,10 @@ cmd_factor (struct lexer *lexer, struct dataset *ds) { factor.print |= PRINT_CORRELATION; } -#if FACTOR_FULLY_IMPLEMENTED else if (lex_match_id (lexer, "COVARIANCE")) { + factor.print |= PRINT_COVARIANCE; } -#endif else if (lex_match_id (lexer, "ROTATION")) { factor.print |= PRINT_ROTATION; @@ -1408,13 +1464,43 @@ cmd_factor (struct lexer *lexer, struct dataset *ds) if ( factor.rotation == ROT_NONE ) factor.print &= ~PRINT_ROTATION; - if ( ! run_factor (ds, &factor)) - goto error; + if (factor.n_vars < 2) + msg (MW, _("Factor analysis on a single variable is not useful.")); + + if (factor.n_vars < 1) + { + msg (ME, _("Factor analysis without variables is not possible.")); + goto error; + } + + if (matrix_reader) + { + struct idata *id = idata_alloc (factor.n_vars); + while (next_matrix_from_reader (&id->mm, mr, + factor.vars, factor.n_vars)) + { + do_factor_by_matrix (&factor, id); + + gsl_matrix_free (id->mm.corr); + id->mm.corr = NULL; + gsl_matrix_free (id->mm.cov); + id->mm.cov = NULL; + } + + idata_free (id); + } + else + if ( ! run_factor (ds, &factor)) + goto error; + + + destroy_matrix_reader (mr); free (factor.vars); return CMD_SUCCESS; error: + destroy_matrix_reader (mr); free (factor.vars); return CMD_FAILURE; } @@ -1474,14 +1560,14 @@ the_communality (const gsl_matrix *evec, const gsl_vector *eval, int n, int n_fa /* Return the communality of variable N, calculated to N_FACTORS */ static double -communality (struct idata *idata, int n, int n_factors) +communality (const struct idata *idata, int n, int n_factors) { return the_communality (idata->evec, idata->eval, n, n_factors); } static void -show_scree (const struct cmd_factor *f, struct idata *idata) +show_scree (const struct cmd_factor *f, const struct idata *idata) { struct scree *s; const char *label ; @@ -1566,7 +1652,7 @@ show_communalities (const struct cmd_factor * factor, static void -show_factor_matrix (const struct cmd_factor *factor, struct idata *idata, const char *title, const gsl_matrix *fm) +show_factor_matrix (const struct cmd_factor *factor, const struct idata *idata, const char *title, const gsl_matrix *fm) { int i; @@ -1659,7 +1745,8 @@ show_factor_matrix (const struct cmd_factor *factor, struct idata *idata, const static void -show_explained_variance (const struct cmd_factor * factor, struct idata *idata, +show_explained_variance (const struct cmd_factor * factor, + const struct idata *idata, const gsl_vector *initial_eigenvalues, const gsl_vector *extracted_eigenvalues, const gsl_vector *rotated_loadings) @@ -1887,7 +1974,7 @@ show_factor_correlation (const struct cmd_factor * factor, const gsl_matrix *fcm for (i = 0 ; i < fcm->size1; ++i) { for (j = 0 ; j < fcm->size2; ++j) - tab_double (t, heading_columns + i, heading_rows +j, 0, + tab_double (t, heading_columns + j, heading_rows + i, 0, gsl_matrix_get (fcm, i, j), NULL, RC_OTHER); } @@ -1983,7 +2070,7 @@ show_correlation_matrix (const struct cmd_factor *factor, const struct idata *id for (i = 0; i < factor->n_vars; ++i) { for (j = 0; j < factor->n_vars; ++j) - tab_double (t, heading_columns + i, y + j, 0, gsl_matrix_get (idata->corr, i, j), NULL, RC_OTHER); + tab_double (t, heading_columns + j, y + i, 0, gsl_matrix_get (idata->mm.corr, i, j), NULL, RC_OTHER); } } @@ -1996,13 +2083,13 @@ show_correlation_matrix (const struct cmd_factor *factor, const struct idata *id { for (j = 0; j < factor->n_vars; ++j) { - double rho = gsl_matrix_get (idata->corr, i, j); - double w = gsl_matrix_get (idata->n, i, j); + double rho = gsl_matrix_get (idata->mm.corr, i, j); + double w = gsl_matrix_get (idata->mm.n, i, j); if (i == j) continue; - tab_double (t, heading_columns + i, y + j, 0, significance_of_correlation (rho, w), NULL, RC_PVALUE); + tab_double (t, heading_columns + j, y + i, 0, significance_of_correlation (rho, w), NULL, RC_PVALUE); } } } @@ -2018,59 +2105,155 @@ show_correlation_matrix (const struct cmd_factor *factor, const struct idata *id tab_submit (t); } +static void +show_covariance_matrix (const struct cmd_factor *factor, const struct idata *idata) +{ + struct tab_table *t ; + size_t i, j; + int y_pos_corr = -1; + int suffix_rows = 0; + + const int heading_rows = 1; + const int heading_columns = 1; + + int nc = heading_columns ; + int nr = heading_rows ; + int n_data_sets = 0; + + if (factor->print & PRINT_COVARIANCE) + { + y_pos_corr = n_data_sets; + n_data_sets++; + nc = heading_columns + factor->n_vars; + } + + nr += n_data_sets * factor->n_vars; + + /* If the table would contain only headings, don't bother rendering it */ + if (nr <= heading_rows && suffix_rows == 0) + return; + + t = tab_create (nc, nr + suffix_rows); + + tab_title (t, _("Covariance Matrix")); + + tab_hline (t, TAL_1, 0, nc - 1, heading_rows); + + if (nr > heading_rows) + { + tab_headers (t, heading_columns, 0, heading_rows, 0); + + tab_vline (t, TAL_2, heading_columns, 0, nr - 1); + + /* Outline the box */ + tab_box (t, + TAL_2, TAL_2, + -1, -1, + 0, 0, + nc - 1, nr - 1); + + /* Vertical lines */ + tab_box (t, + -1, -1, + -1, TAL_1, + heading_columns, 0, + nc - 1, nr - 1); + + + for (i = 0; i < factor->n_vars; ++i) + tab_text (t, heading_columns + i, 0, TAT_TITLE, var_to_string (factor->vars[i])); + + + for (i = 0 ; i < n_data_sets; ++i) + { + int y = heading_rows + i * factor->n_vars; + size_t v; + for (v = 0; v < factor->n_vars; ++v) + tab_text (t, heading_columns -1, y + v, TAT_TITLE, var_to_string (factor->vars[v])); + + tab_hline (t, TAL_1, 0, nc - 1, y); + } + + if (factor->print & PRINT_COVARIANCE) + { + const double y = heading_rows + y_pos_corr; + + for (i = 0; i < factor->n_vars; ++i) + { + for (j = 0; j < factor->n_vars; ++j) + tab_double (t, heading_columns + j, y + i, 0, gsl_matrix_get (idata->mm.cov, i, j), NULL, RC_OTHER); + } + } + } + + tab_submit (t); +} static void do_factor (const struct cmd_factor *factor, struct casereader *r) { struct ccase *c; - const gsl_matrix *var_matrix; - const gsl_matrix *mean_matrix; - - const gsl_matrix *analysis_matrix; struct idata *idata = idata_alloc (factor->n_vars); - struct covariance *cov = covariance_1pass_create (factor->n_vars, factor->vars, - factor->wv, factor->exclude); + idata->cvm = covariance_1pass_create (factor->n_vars, factor->vars, + factor->wv, factor->exclude, true); for ( ; (c = casereader_read (r) ); case_unref (c)) { - covariance_accumulate (cov, c); + covariance_accumulate (idata->cvm, c); } - idata->cov = covariance_calculate (cov); + idata->mm.cov = covariance_calculate (idata->cvm); - if (idata->cov == NULL) + if (idata->mm.cov == NULL) { msg (MW, _("The dataset contains no complete observations. No analysis will be performed.")); - covariance_destroy (cov); + covariance_destroy (idata->cvm); goto finish; } - var_matrix = covariance_moments (cov, MOMENT_VARIANCE); - mean_matrix = covariance_moments (cov, MOMENT_MEAN); - idata->n = covariance_moments (cov, MOMENT_NONE); + idata->mm.var_matrix = covariance_moments (idata->cvm, MOMENT_VARIANCE); + idata->mm.mean_matrix = covariance_moments (idata->cvm, MOMENT_MEAN); + idata->mm.n = covariance_moments (idata->cvm, MOMENT_NONE); + do_factor_by_matrix (factor, idata); - if ( factor->method == METHOD_CORR) - { - idata->corr = correlation_from_covariance (idata->cov, var_matrix); + finish: + gsl_matrix_free (idata->mm.corr); + gsl_matrix_free (idata->mm.cov); + + idata_free (idata); + casereader_destroy (r); +} - analysis_matrix = idata->corr; +static bool +do_factor_by_matrix (const struct cmd_factor *factor, struct idata *idata) +{ + if (!idata->mm.cov && !idata->mm.corr) + { + msg (ME, _("The dataset has no complete covariance or correlation matrix.")); + return false; } - else - analysis_matrix = idata->cov; + if (idata->mm.cov && !idata->mm.corr) + idata->mm.corr = correlation_from_covariance (idata->mm.cov, idata->mm.var_matrix); + if (idata->mm.corr && !idata->mm.cov) + idata->mm.cov = covariance_from_correlation (idata->mm.corr, idata->mm.var_matrix); + if (factor->method == METHOD_CORR) + idata->analysis_matrix = idata->mm.corr; + else + idata->analysis_matrix = idata->mm.cov; if (factor->print & PRINT_DETERMINANT || factor->print & PRINT_KMO) { int sign = 0; - const int size = idata->corr->size1; + const int size = idata->mm.corr->size1; gsl_permutation *p = gsl_permutation_calloc (size); gsl_matrix *tmp = gsl_matrix_calloc (size, size); - gsl_matrix_memcpy (tmp, idata->corr); + gsl_matrix_memcpy (tmp, idata->mm.corr); gsl_linalg_LU_decomp (tmp, p, &sign); idata->detR = gsl_linalg_LU_det (tmp, sign); @@ -2121,9 +2304,9 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) const struct variable *v = factor->vars[i]; tab_text (t, 0, i + heading_rows, TAB_LEFT | TAT_TITLE, var_to_string (v)); - tab_double (t, 1, i + heading_rows, 0, gsl_matrix_get (mean_matrix, i, i), NULL, RC_OTHER); - tab_double (t, 2, i + heading_rows, 0, sqrt (gsl_matrix_get (var_matrix, i, i)), NULL, RC_OTHER); - tab_double (t, 3, i + heading_rows, 0, gsl_matrix_get (idata->n, i, i), NULL, RC_WEIGHT); + tab_double (t, 1, i + heading_rows, 0, gsl_matrix_get (idata->mm.mean_matrix, i, i), NULL, RC_OTHER); + tab_double (t, 2, i + heading_rows, 0, sqrt (gsl_matrix_get (idata->mm.var_matrix, i, i)), NULL, RC_OTHER); + tab_double (t, 3, i + heading_rows, 0, gsl_matrix_get (idata->mm.n, i, i), NULL, RC_WEIGHT); } tab_submit (t); @@ -2135,7 +2318,7 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) double sum_ssq_r = 0; double sum_ssq_a = 0; - double df = factor->n_vars * ( factor->n_vars - 1) / 2; + double df = factor->n_vars * (factor->n_vars - 1) / 2; double w = 0; @@ -2153,7 +2336,7 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) struct tab_table *t = tab_create (nc, nr); tab_title (t, _("KMO and Bartlett's Test")); - x = clone_matrix (idata->corr); + x = clone_matrix (idata->mm.corr); gsl_linalg_cholesky_decomp (x); gsl_linalg_cholesky_invert (x); @@ -2194,9 +2377,9 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) missing values are involved. The best thing I can think of is to take the mean average. */ w = 0; - for (i = 0; i < idata->n->size1; ++i) - w += gsl_matrix_get (idata->n, i, i); - w /= idata->n->size1; + for (i = 0; i < idata->mm.n->size1; ++i) + w += gsl_matrix_get (idata->mm.n, i, i); + w /= idata->mm.n->size1; xsq = w - 1 - (2 * factor->n_vars + 5) / 6.0; xsq *= -log (idata->detR); @@ -2210,10 +2393,12 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) } show_correlation_matrix (factor, idata); - covariance_destroy (cov); + show_covariance_matrix (factor, idata); + if (idata->cvm) + covariance_destroy (idata->cvm); { - gsl_matrix *am = matrix_dup (analysis_matrix); + gsl_matrix *am = matrix_dup (idata->analysis_matrix); gsl_eigen_symmv_workspace *workspace = gsl_eigen_symmv_alloc (factor->n_vars); gsl_eigen_symmv (am, idata->eval, idata->evec, workspace); @@ -2256,11 +2441,11 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) if ( factor->extraction == EXTRACTION_PAF) { gsl_vector *diff = gsl_vector_alloc (idata->msr->size); - struct smr_workspace *ws = ws_create (analysis_matrix); + struct smr_workspace *ws = ws_create (idata->analysis_matrix); for (i = 0 ; i < factor->n_vars ; ++i) { - double r2 = squared_multiple_correlation (analysis_matrix, i, ws); + double r2 = squared_multiple_correlation (idata->analysis_matrix, i, ws); gsl_vector_set (idata->msr, i, r2); } @@ -2273,7 +2458,7 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) double min, max; gsl_vector_memcpy (diff, idata->msr); - iterate_factor_matrix (analysis_matrix, idata->msr, factor_matrix, fmw); + iterate_factor_matrix (idata->analysis_matrix, idata->msr, factor_matrix, fmw); gsl_vector_sub (diff, idata->msr); @@ -2296,7 +2481,7 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) gsl_vector_memcpy (extracted_communalities, initial_communalities); - iterate_factor_matrix (analysis_matrix, extracted_communalities, factor_matrix, fmw); + iterate_factor_matrix (idata->analysis_matrix, extracted_communalities, factor_matrix, fmw); extracted_eigenvalues = idata->eval; @@ -2340,7 +2525,8 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) { show_factor_matrix (factor, idata, (factor->rotation == ROT_PROMAX) ? _("Structure Matrix") : - (factor->extraction == EXTRACTION_PC ? _("Rotated Component Matrix") : _("Rotated Factor Matrix")), + (factor->extraction == EXTRACTION_PC ? _("Rotated Component Matrix") : + _("Rotated Factor Matrix")), rotated_factors); gsl_matrix_free (rotated_factors); @@ -2359,10 +2545,7 @@ do_factor (const struct cmd_factor *factor, struct casereader *r) } finish: - - idata_free (idata); - - casereader_destroy (r); + return; }