1 /* PSPP - computes sample statistics. -*-c-*-
3 Copyright (C) 1997-9, 2000 Free Software Foundation, Inc.
4 Written by John Williams <johnr.williams@stonebow.otago.ac.nz>.
5 Almost completly re-written by John Darrington 2004
7 This program is free software; you can redistribute it and/or
8 modify it under the terms of the GNU General Public License as
9 published by the Free Software Foundation; either version 2 of the
10 License, or (at your option) any later version.
12 This program is distributed in the hope that it will be useful, but
13 WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15 General Public License for more details.
17 You should have received a copy of the GNU General Public License
18 along with this program; if not, write to the Free Software
19 Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
23 #include <gsl/gsl_cdf.h>
32 #include "dictionary.h"
39 #include "value-labels.h"
43 #include "group_proc.h"
52 variables=varlist("PV_NO_SCRATCH | PV_NUMERIC");
54 +missing=miss:!analysis/listwise,
55 incl:include/!exclude;
56 format=fmt:!labels/nolabels;
57 criteria=:cin(d:criteria,"%s > 0. && %s < 1.").
65 /* Function to use for testing for missing values */
66 static is_missing_func value_is_missing;
68 /* Variable for the GROUPS subcommand, if given. */
69 static struct variable *indep_var;
77 struct group_properties
79 /* The comparison criterion */
80 enum comparison criterion;
82 /* The width of the independent variable */
86 /* The value of the independent variable at which groups are determined to
87 belong to one group or the other */
88 double critical_value;
91 /* The values of the independent variable for each group */
92 union value g_value[2];
98 static struct group_properties gp ;
102 /* PAIRS: Number of pairs to be compared ; each pair. */
103 static int n_pairs = 0 ;
106 /* The variables comprising the pair */
107 struct variable *v[2];
109 /* The number of valid variable pairs */
112 /* The sum of the members */
115 /* sum of squares of the members */
118 /* Std deviation of the members */
122 /* Sample Std deviation of the members */
125 /* The means of the members */
128 /* The correlation coefficient between the variables */
131 /* The sum of the differences */
134 /* The sum of the products */
137 /* The mean of the differences */
140 /* The sum of the squares of the differences */
143 /* The std deviation of the differences */
147 static struct pair *pairs=0;
149 static int parse_value (union value * v, int type) ;
151 /* Structures and Functions for the Statistics Summary Box */
153 typedef void populate_ssbox_func(struct ssbox *ssb,
154 struct cmd_t_test *cmd);
155 typedef void finalize_ssbox_func(struct ssbox *ssb);
161 populate_ssbox_func *populate;
162 finalize_ssbox_func *finalize;
167 void ssbox_create(struct ssbox *ssb, struct cmd_t_test *cmd, int mode);
169 /* Populate a ssbox according to cmd */
170 void ssbox_populate(struct ssbox *ssb, struct cmd_t_test *cmd);
172 /* Submit and destroy a ssbox */
173 void ssbox_finalize(struct ssbox *ssb);
175 /* A function to create, populate and submit the Paired Samples Correlation
180 /* Structures and Functions for the Test Results Box */
183 typedef void populate_trbox_func(struct trbox *trb,
184 struct cmd_t_test *cmd);
185 typedef void finalize_trbox_func(struct trbox *trb);
189 populate_trbox_func *populate;
190 finalize_trbox_func *finalize;
194 void trbox_create(struct trbox *trb, struct cmd_t_test *cmd, int mode);
196 /* Populate a ssbox according to cmd */
197 void trbox_populate(struct trbox *trb, struct cmd_t_test *cmd);
199 /* Submit and destroy a ssbox */
200 void trbox_finalize(struct trbox *trb);
202 /* Which mode was T-TEST invoked */
210 static int common_calc (const struct ccase *, void *);
211 static void common_precalc (struct cmd_t_test *);
212 static void common_postcalc (struct cmd_t_test *);
214 static int one_sample_calc (const struct ccase *, void *);
215 static void one_sample_precalc (struct cmd_t_test *);
216 static void one_sample_postcalc (struct cmd_t_test *);
218 static int paired_calc (const struct ccase *, void *);
219 static void paired_precalc (struct cmd_t_test *);
220 static void paired_postcalc (struct cmd_t_test *);
222 static void group_precalc (struct cmd_t_test *);
223 static int group_calc (const struct ccase *, struct cmd_t_test *);
224 static void group_postcalc (struct cmd_t_test *);
227 static void calculate(const struct casefile *cf, void *_mode);
231 static struct cmd_t_test cmd;
233 static int bad_weight_warn;
236 static int compare_group_binary(const struct group_statistics *a,
237 const struct group_statistics *b,
238 const struct group_properties *p);
241 static unsigned hash_group_binary(const struct group_statistics *g,
242 const struct group_properties *p);
250 if ( !parse_t_test(&cmd) )
253 if (! cmd.sbc_criteria)
258 if (cmd.sbc_testval) ++m;
259 if (cmd.sbc_groups) ++m;
260 if (cmd.sbc_pairs) ++m;
265 _("TESTVAL, GROUPS and PAIRS subcommands are mutually exclusive.")
274 else if (cmd.sbc_groups)
279 if ( mode == T_PAIRED)
281 if (cmd.sbc_variables)
283 msg(SE, _("VARIABLES subcommand is not appropriate with PAIRS"));
289 /* Iterate through the pairs and put each variable that is a
290 member of a pair into cmd.v_variables */
293 struct hsh_iterator hi;
294 struct hsh_table *hash;
297 hash = hsh_create (n_pairs, compare_var_names, hash_var_name, 0, 0);
299 for (i=0; i < n_pairs; ++i)
301 hsh_insert(hash,pairs[i].v[0]);
302 hsh_insert(hash,pairs[i].v[1]);
305 assert(cmd.n_variables == 0);
306 cmd.n_variables = hsh_count(hash);
308 cmd.v_variables = xrealloc(cmd.v_variables,
309 sizeof(struct variable) * cmd.n_variables);
310 /* Iterate through the hash */
311 for (i=0,v = (struct variable *) hsh_first(hash,&hi);
313 v=hsh_next(hash,&hi) )
314 cmd.v_variables[i++]=v;
319 else if ( !cmd.sbc_variables)
321 msg(SE, _("One or more VARIABLES must be specified."));
327 /* If /MISSING=INCLUDE is set, then user missing values are ignored */
328 if (cmd.incl == TTS_INCLUDE )
329 value_is_missing = is_system_missing;
331 value_is_missing = is_missing;
335 multipass_procedure_with_splits (calculate, &cmd);
341 if ( mode == T_IND_SAMPLES)
344 /* Destroy any group statistics we created */
345 for (v = 0 ; v < cmd.n_variables ; ++v )
347 struct group_proc *grpp = group_proc_get (cmd.v_variables[v]);
348 hsh_destroy (grpp->group_hash);
357 tts_custom_groups (struct cmd_t_test *cmd UNUSED)
359 int n_group_values=0;
363 if (token != T_ALL &&
364 (token != T_ID || dict_lookup_var (default_dict, tokid) == NULL)
367 msg(SE,_("`%s' is not a variable name"),tokid);
371 indep_var = parse_variable ();
374 lex_error ("expecting variable name in GROUPS subcommand");
378 if (indep_var->type == T_STRING && indep_var->width > MAX_SHORT_STRING)
380 msg (SE, _("Long string variable %s is not valid here."),
385 if (!lex_match ('('))
387 if (indep_var->type == NUMERIC)
389 gp.v.g_value[0].f = 1;
390 gp.v.g_value[1].f = 2;
392 gp.criterion = CMP_EQ;
400 msg (SE, _("When applying GROUPS to a string variable, two "
401 "values must be specified."));
406 if (!parse_value (&gp.v.g_value[0], indep_var->type))
412 if (indep_var->type != NUMERIC)
415 msg (SE, _("When applying GROUPS to a string variable, two "
416 "values must be specified."));
419 gp.criterion = CMP_LE;
420 gp.v.critical_value = gp.v.g_value[0].f;
426 if (!parse_value (&gp.v.g_value[1], indep_var->type))
430 if (!lex_force_match (')'))
433 if ( n_group_values == 2 )
434 gp.criterion = CMP_EQ ;
436 gp.criterion = CMP_LE ;
444 tts_custom_pairs (struct cmd_t_test *cmd UNUSED)
446 struct variable **vars;
451 int n_after_WITH = -1;
452 int paired ; /* Was the PAIRED keyword given ? */
456 if ((token != T_ID || dict_lookup_var (default_dict, tokid) == NULL)
459 msg(SE,_("`%s' is not a variable name"),tokid);
464 if (!parse_variables (default_dict, &vars, &n_vars,
465 PV_DUPLICATE | PV_NUMERIC | PV_NO_SCRATCH))
473 if (lex_match (T_WITH))
475 n_before_WITH = n_vars;
476 if (!parse_variables (default_dict, &vars, &n_vars,
477 PV_DUPLICATE | PV_APPEND
478 | PV_NUMERIC | PV_NO_SCRATCH))
483 n_after_WITH = n_vars - n_before_WITH;
486 paired = (lex_match ('(') && lex_match_id ("PAIRED") && lex_match (')'));
488 /* Determine the number of pairs needed */
491 if (n_before_WITH != n_after_WITH)
494 msg (SE, _("PAIRED was specified but the number of variables "
495 "preceding WITH (%d) did not match the number "
497 n_before_WITH, n_after_WITH );
500 n_pairs_local=n_before_WITH;
502 else if (n_before_WITH > 0) /* WITH keyword given, but not PAIRED keyword */
504 n_pairs_local=n_before_WITH * n_after_WITH ;
506 else /* Neither WITH nor PAIRED keyword given */
511 msg (SE, _("At least two variables must be specified "
516 /* how many ways can you pick 2 from n_vars ? */
517 n_pairs_local = n_vars * (n_vars -1 ) /2 ;
521 /* Allocate storage for the pairs */
522 pairs = xrealloc(pairs, sizeof(struct pair) * (n_pairs + n_pairs_local) );
524 /* Populate the pairs with the appropriate variables */
529 assert(n_pairs_local == n_vars/2);
530 for (i = 0; i < n_pairs_local ; ++i)
532 pairs[i].v[n_pairs+0] = vars[i];
533 pairs[i].v[n_pairs+1] = vars[i+n_pairs_local];
536 else if (n_before_WITH > 0) /* WITH keyword given, but not PAIRED keyword */
541 for(i=0 ; i < n_before_WITH ; ++i )
543 for(j=0 ; j < n_after_WITH ; ++j)
545 pairs[p].v[0] = vars[i];
546 pairs[p].v[1] = vars[j+n_before_WITH];
551 else /* Neither WITH nor PAIRED given */
556 for(i=0 ; i < n_vars ; ++i )
558 for(j=i+1 ; j < n_vars ; ++j)
560 pairs[p].v[0] = vars[i];
561 pairs[p].v[1] = vars[j];
567 n_pairs+=n_pairs_local;
573 /* Parses the current token (numeric or string, depending on type)
574 value v and returns success. */
576 parse_value (union value * v, int type )
580 if (!lex_force_num ())
586 if (!lex_force_string ())
588 strncpy (v->s, ds_c_str (&tokstr), ds_length (&tokstr));
597 /* Implementation of the SSBOX object */
599 void ssbox_base_init(struct ssbox *this, int cols,int rows);
601 void ssbox_base_finalize(struct ssbox *ssb);
603 void ssbox_one_sample_init(struct ssbox *this,
604 struct cmd_t_test *cmd );
606 void ssbox_independent_samples_init(struct ssbox *this,
607 struct cmd_t_test *cmd);
609 void ssbox_paired_init(struct ssbox *this,
610 struct cmd_t_test *cmd);
613 /* Factory to create an ssbox */
615 ssbox_create(struct ssbox *ssb, struct cmd_t_test *cmd, int mode)
620 ssbox_one_sample_init(ssb,cmd);
623 ssbox_independent_samples_init(ssb,cmd);
626 ssbox_paired_init(ssb,cmd);
635 /* Despatcher for the populate method */
637 ssbox_populate(struct ssbox *ssb,struct cmd_t_test *cmd)
639 ssb->populate(ssb,cmd);
643 /* Despatcher for finalize */
645 ssbox_finalize(struct ssbox *ssb)
651 /* Submit the box and clear up */
653 ssbox_base_finalize(struct ssbox *ssb)
660 /* Initialize a ssbox struct */
662 ssbox_base_init(struct ssbox *this, int cols,int rows)
664 this->finalize = ssbox_base_finalize;
665 this->t = tab_create (cols, rows, 0);
667 tab_columns (this->t, SOM_COL_DOWN, 1);
668 tab_headers (this->t,0,0,1,0);
669 tab_box (this->t, TAL_2, TAL_2, TAL_0, TAL_1, 0, 0, cols -1, rows -1 );
670 tab_hline(this->t, TAL_2,0,cols-1,1);
671 tab_dim (this->t, tab_natural_dimensions);
674 void ssbox_one_sample_populate(struct ssbox *ssb,
675 struct cmd_t_test *cmd);
677 /* Initialize the one_sample ssbox */
679 ssbox_one_sample_init(struct ssbox *this,
680 struct cmd_t_test *cmd )
683 const int vsize=cmd->n_variables+1;
685 this->populate = ssbox_one_sample_populate;
687 ssbox_base_init(this, hsize,vsize);
688 tab_title (this->t, 0, _("One-Sample Statistics"));
689 tab_vline(this->t, TAL_2, 1,0,vsize - 1);
690 tab_text (this->t, 1, 0, TAB_CENTER | TAT_TITLE, _("N"));
691 tab_text (this->t, 2, 0, TAB_CENTER | TAT_TITLE, _("Mean"));
692 tab_text (this->t, 3, 0, TAB_CENTER | TAT_TITLE, _("Std. Deviation"));
693 tab_text (this->t, 4, 0, TAB_CENTER | TAT_TITLE, _("SE. Mean"));
696 void ssbox_independent_samples_populate(struct ssbox *ssb,
697 struct cmd_t_test *cmd);
699 /* Initialize the independent samples ssbox */
701 ssbox_independent_samples_init(struct ssbox *this,
702 struct cmd_t_test *cmd)
705 int vsize = cmd->n_variables*2 +1;
707 this->populate = ssbox_independent_samples_populate;
709 ssbox_base_init(this, hsize,vsize);
710 tab_title (this->t, 0, _("Group Statistics"));
711 tab_vline(this->t,0,1,0,vsize - 1);
712 tab_text (this->t, 1, 0, TAB_CENTER | TAT_TITLE, indep_var->name);
713 tab_text (this->t, 2, 0, TAB_CENTER | TAT_TITLE, _("N"));
714 tab_text (this->t, 3, 0, TAB_CENTER | TAT_TITLE, _("Mean"));
715 tab_text (this->t, 4, 0, TAB_CENTER | TAT_TITLE, _("Std. Deviation"));
716 tab_text (this->t, 5, 0, TAB_CENTER | TAT_TITLE, _("SE. Mean"));
720 /* Populate the ssbox for independent samples */
722 ssbox_independent_samples_populate(struct ssbox *ssb,
723 struct cmd_t_test *cmd)
729 double indep_value[2];
731 char prefix[2][3]={"",""};
733 if ( indep_var->type == NUMERIC )
735 val_lab0 = val_labs_find( indep_var->val_labs,gp.v.g_value[0]);
736 val_lab1 = val_labs_find( indep_var->val_labs,gp.v.g_value[1]);
740 val_lab0 = gp.v.g_value[0].s;
741 val_lab1 = gp.v.g_value[1].s;
744 if (gp.criterion == CMP_LE )
746 strcpy(prefix[0],"< ");
747 strcpy(prefix[1],">=");
748 indep_value[0] = gp.v.critical_value;
749 indep_value[1] = gp.v.critical_value;
753 indep_value[0] = gp.v.g_value[0].f;
754 indep_value[1] = gp.v.g_value[1].f;
759 for (i=0; i < cmd->n_variables; ++i)
761 struct variable *var = cmd->v_variables[i];
762 struct hsh_table *grp_hash = group_proc_get (var)->group_hash;
765 tab_text (ssb->t, 0, i*2+1, TAB_LEFT, cmd->v_variables[i]->name);
768 tab_text (ssb->t, 1, i*2+1, TAB_LEFT | TAT_PRINTF,
769 "%s%s", prefix[0], val_lab0);
771 tab_text (ssb->t, 1, i*2+1, TAB_LEFT | TAT_PRINTF,
772 "%s%g", prefix[0], indep_value[0]);
776 tab_text (ssb->t, 1, i*2+1+1, TAB_LEFT | TAT_PRINTF,
777 "%s%s", prefix[1], val_lab1);
779 tab_text (ssb->t, 1, i*2+1+1, TAB_LEFT | TAT_PRINTF,
780 "%s%g", prefix[1], indep_value[1]);
783 /* Fill in the group statistics */
784 for ( count = 0 ; count < 2 ; ++count )
786 union value search_val;
788 struct group_statistics *gs;
790 if ( gp.criterion == CMP_LE )
794 /* less than ( < ) case */
795 search_val.f = gp.v.critical_value - 1.0;
800 search_val.f = gp.v.critical_value + 1.0;
805 search_val = gp.v.g_value[count];
808 gs = hsh_find(grp_hash, (void *) &search_val);
811 tab_float(ssb->t, 2 ,i*2+count+1, TAB_RIGHT, gs->n, 2, 0);
812 tab_float(ssb->t, 3 ,i*2+count+1, TAB_RIGHT, gs->mean, 8, 2);
813 tab_float(ssb->t, 4 ,i*2+count+1, TAB_RIGHT, gs->std_dev, 8, 3);
814 tab_float(ssb->t, 5 ,i*2+count+1, TAB_RIGHT, gs->se_mean, 8, 3);
820 void ssbox_paired_populate(struct ssbox *ssb,
821 struct cmd_t_test *cmd);
823 /* Initialize the paired values ssbox */
825 ssbox_paired_init(struct ssbox *this, struct cmd_t_test *cmd UNUSED)
829 int vsize = n_pairs*2+1;
831 this->populate = ssbox_paired_populate;
833 ssbox_base_init(this, hsize,vsize);
834 tab_title (this->t, 0, _("Paired Sample Statistics"));
835 tab_vline(this->t,TAL_0,1,0,vsize-1);
836 tab_vline(this->t,TAL_2,2,0,vsize-1);
837 tab_text (this->t, 2, 0, TAB_CENTER | TAT_TITLE, _("Mean"));
838 tab_text (this->t, 3, 0, TAB_CENTER | TAT_TITLE, _("N"));
839 tab_text (this->t, 4, 0, TAB_CENTER | TAT_TITLE, _("Std. Deviation"));
840 tab_text (this->t, 5, 0, TAB_CENTER | TAT_TITLE, _("SE. Mean"));
844 /* Populate the ssbox for paired values */
846 ssbox_paired_populate(struct ssbox *ssb,struct cmd_t_test *cmd UNUSED)
852 for (i=0; i < n_pairs; ++i)
856 tab_text (ssb->t, 0, i*2+1, TAB_LEFT | TAT_PRINTF , _("Pair %d"),i);
858 for (j=0 ; j < 2 ; ++j)
860 struct group_statistics *gs;
862 gs = &group_proc_get (pairs[i].v[j])->ugs;
866 tab_text (ssb->t, 1, i*2+j+1, TAB_LEFT, pairs[i].v[j]->name);
869 tab_float (ssb->t,2, i*2+j+1, TAB_RIGHT, pairs[i].mean[j], 8, 2);
870 tab_float (ssb->t,3, i*2+j+1, TAB_RIGHT, pairs[i].n, 2, 0);
871 tab_float (ssb->t,4, i*2+j+1, TAB_RIGHT, pairs[i].std_dev[j], 8, 3);
872 tab_float (ssb->t,5, i*2+j+1, TAB_RIGHT, pairs[i].std_dev[j]/sqrt(pairs[i].n), 8, 3);
878 /* Populate the one sample ssbox */
880 ssbox_one_sample_populate(struct ssbox *ssb, struct cmd_t_test *cmd)
886 for (i=0; i < cmd->n_variables; ++i)
888 struct group_statistics *gs = &group_proc_get (cmd->v_variables[i])->ugs;
890 tab_text (ssb->t, 0, i+1, TAB_LEFT, cmd->v_variables[i]->name);
891 tab_float (ssb->t,1, i+1, TAB_RIGHT, gs->n, 2, 0);
892 tab_float (ssb->t,2, i+1, TAB_RIGHT, gs->mean, 8, 2);
893 tab_float (ssb->t,3, i+1, TAB_RIGHT, gs->std_dev, 8, 2);
894 tab_float (ssb->t,4, i+1, TAB_RIGHT, gs->se_mean, 8, 3);
901 /* Implementation of the Test Results box struct */
903 void trbox_base_init(struct trbox *self,int n_vars, int cols);
904 void trbox_base_finalize(struct trbox *trb);
906 void trbox_independent_samples_init(struct trbox *trb,
907 struct cmd_t_test *cmd );
909 void trbox_independent_samples_populate(struct trbox *trb,
910 struct cmd_t_test *cmd);
912 void trbox_one_sample_init(struct trbox *self,
913 struct cmd_t_test *cmd );
915 void trbox_one_sample_populate(struct trbox *trb,
916 struct cmd_t_test *cmd);
918 void trbox_paired_init(struct trbox *self,
919 struct cmd_t_test *cmd );
921 void trbox_paired_populate(struct trbox *trb,
922 struct cmd_t_test *cmd);
926 /* Create a trbox according to mode*/
928 trbox_create(struct trbox *trb,
929 struct cmd_t_test *cmd, int mode)
934 trbox_one_sample_init(trb,cmd);
937 trbox_independent_samples_init(trb,cmd);
940 trbox_paired_init(trb,cmd);
947 /* Populate a trbox according to cmd */
949 trbox_populate(struct trbox *trb, struct cmd_t_test *cmd)
951 trb->populate(trb,cmd);
954 /* Submit and destroy a trbox */
956 trbox_finalize(struct trbox *trb)
961 /* Initialize the independent samples trbox */
963 trbox_independent_samples_init(struct trbox *self,
964 struct cmd_t_test *cmd UNUSED)
967 const int vsize=cmd->n_variables*2+3;
970 self->populate = trbox_independent_samples_populate;
972 trbox_base_init(self,cmd->n_variables*2,hsize);
973 tab_title(self->t,0,_("Independent Samples Test"));
974 tab_hline(self->t,TAL_1,2,hsize-1,1);
975 tab_vline(self->t,TAL_2,2,0,vsize-1);
976 tab_vline(self->t,TAL_1,4,0,vsize-1);
977 tab_box(self->t,-1,-1,-1,TAL_1, 2,1,hsize-2,vsize-1);
978 tab_hline(self->t,TAL_1, hsize-2,hsize-1,2);
979 tab_box(self->t,-1,-1,-1,TAL_1, hsize-2,2,hsize-1,vsize-1);
980 tab_joint_text(self->t, 2, 0, 3, 0,
981 TAB_CENTER,_("Levene's Test for Equality of Variances"));
982 tab_joint_text(self->t, 4,0,hsize-1,0,
983 TAB_CENTER,_("t-test for Equality of Means"));
985 tab_text(self->t,2,2, TAB_CENTER | TAT_TITLE,_("F"));
986 tab_text(self->t,3,2, TAB_CENTER | TAT_TITLE,_("Sig."));
987 tab_text(self->t,4,2, TAB_CENTER | TAT_TITLE,_("t"));
988 tab_text(self->t,5,2, TAB_CENTER | TAT_TITLE,_("df"));
989 tab_text(self->t,6,2, TAB_CENTER | TAT_TITLE,_("Sig. (2-tailed)"));
990 tab_text(self->t,7,2, TAB_CENTER | TAT_TITLE,_("Mean Difference"));
991 tab_text(self->t,8,2, TAB_CENTER | TAT_TITLE,_("Std. Error Difference"));
992 tab_text(self->t,9,2, TAB_CENTER | TAT_TITLE,_("Lower"));
993 tab_text(self->t,10,2, TAB_CENTER | TAT_TITLE,_("Upper"));
995 tab_joint_text(self->t, 9, 1, 10, 1, TAB_CENTER | TAT_PRINTF,
996 _("%g%% Confidence Interval of the Difference"),
997 cmd->criteria*100.0);
1001 /* Populate the independent samples trbox */
1003 trbox_independent_samples_populate(struct trbox *self,
1004 struct cmd_t_test *cmd )
1009 for (i=0; i < cmd->n_variables; ++i)
1018 double pooled_variance;
1019 double std_err_diff;
1022 struct variable *var = cmd->v_variables[i];
1023 struct group_proc *grp_data = group_proc_get (var);
1025 struct hsh_table *grp_hash = grp_data->group_hash;
1027 struct group_statistics *gs0 ;
1028 struct group_statistics *gs1 ;
1030 union value search_val;
1032 if ( gp.criterion == CMP_LE )
1033 search_val.f = gp.v.critical_value - 1.0;
1035 search_val = gp.v.g_value[0];
1037 gs0 = hsh_find(grp_hash, (void *) &search_val);
1040 if ( gp.criterion == CMP_LE )
1041 search_val.f = gp.v.critical_value + 1.0;
1043 search_val = gp.v.g_value[1];
1045 gs1 = hsh_find(grp_hash, (void *) &search_val);
1049 tab_text (self->t, 0, i*2+3, TAB_LEFT, cmd->v_variables[i]->name);
1051 tab_text (self->t, 1, i*2+3, TAB_LEFT, _("Equal variances assumed"));
1054 tab_float(self->t, 2, i*2+3, TAB_CENTER, grp_data->levene, 8,3);
1056 /* Now work out the significance of the Levene test */
1057 df1 = 1; df2 = grp_data->ugs.n - 2;
1058 q = gsl_cdf_fdist_Q(grp_data->levene, df1, df2);
1060 tab_float(self->t, 3, i*2+3, TAB_CENTER, q, 8,3 );
1062 df = gs0->n + gs1->n - 2.0 ;
1063 tab_float (self->t, 5, i*2+3, TAB_RIGHT, df, 2, 0);
1065 pooled_variance = ( (gs0->n )*pow2(gs0->s_std_dev)
1067 (gs1->n )*pow2(gs1->s_std_dev)
1070 t = (gs0->mean - gs1->mean) / sqrt(pooled_variance) ;
1071 t /= sqrt((gs0->n + gs1->n)/(gs0->n*gs1->n));
1073 tab_float (self->t, 4, i*2+3, TAB_RIGHT, t, 8, 3);
1075 p = gsl_cdf_tdist_P(t, df);
1076 q = gsl_cdf_tdist_Q(t, df);
1078 tab_float(self->t, 6, i*2+3, TAB_RIGHT, 2.0*(t>0?q:p) , 8, 3);
1080 mean_diff = gs0->mean - gs1->mean;
1081 tab_float(self->t, 7, i*2+3, TAB_RIGHT, mean_diff, 8, 3);
1084 std_err_diff = sqrt( pow2(gs0->se_mean) + pow2(gs1->se_mean));
1085 tab_float(self->t, 8, i*2+3, TAB_RIGHT, std_err_diff, 8, 3);
1088 /* Now work out the confidence interval */
1089 q = (1 - cmd->criteria)/2.0; /* 2-tailed test */
1091 t = gsl_cdf_tdist_Qinv(q,df);
1092 tab_float(self->t, 9, i*2+3, TAB_RIGHT,
1093 mean_diff - t * std_err_diff, 8, 3);
1095 tab_float(self->t, 10, i*2+3, TAB_RIGHT,
1096 mean_diff + t * std_err_diff, 8, 3);
1101 /* Now for the \sigma_1 != \sigma_2 case */
1102 tab_text (self->t, 1, i*2+3+1,
1103 TAB_LEFT, _("Equal variances not assumed"));
1106 se2 = (pow2(gs0->s_std_dev)/(gs0->n -1) ) +
1107 (pow2(gs1->s_std_dev)/(gs1->n -1) );
1109 t = mean_diff / sqrt(se2) ;
1110 tab_float (self->t, 4, i*2+3+1, TAB_RIGHT, t, 8, 3);
1113 (pow2(pow2(gs0->s_std_dev)/(gs0->n - 1 ))
1117 (pow2(pow2(gs1->s_std_dev)/(gs1->n - 1 ))
1121 tab_float (self->t, 5, i*2+3+1, TAB_RIGHT, df, 8, 3);
1123 p = gsl_cdf_tdist_P(t, df);
1124 q = gsl_cdf_tdist_Q(t, df);
1126 tab_float(self->t, 6, i*2+3+1, TAB_RIGHT, 2.0*(t>0?q:p) , 8, 3);
1128 /* Now work out the confidence interval */
1129 q = (1 - cmd->criteria)/2.0; /* 2-tailed test */
1131 t = gsl_cdf_tdist_Qinv(q, df);
1133 tab_float(self->t, 7, i*2+3+1, TAB_RIGHT, mean_diff, 8, 3);
1136 tab_float(self->t, 8, i*2+3+1, TAB_RIGHT, std_err_diff, 8, 3);
1139 tab_float(self->t, 9, i*2+3+1, TAB_RIGHT,
1140 mean_diff - t * std_err_diff, 8, 3);
1142 tab_float(self->t, 10, i*2+3+1, TAB_RIGHT,
1143 mean_diff + t * std_err_diff, 8, 3);
1149 /* Initialize the paired samples trbox */
1151 trbox_paired_init(struct trbox *self,
1152 struct cmd_t_test *cmd UNUSED)
1156 const int vsize=n_pairs+3;
1158 self->populate = trbox_paired_populate;
1160 trbox_base_init(self,n_pairs,hsize);
1161 tab_title (self->t, 0, _("Paired Samples Test"));
1162 tab_hline(self->t,TAL_1,2,6,1);
1163 tab_vline(self->t,TAL_2,2,0,vsize - 1);
1164 tab_joint_text(self->t,2,0,6,0,TAB_CENTER,_("Paired Differences"));
1165 tab_box(self->t,-1,-1,-1,TAL_1, 2,1,6,vsize-1);
1166 tab_box(self->t,-1,-1,-1,TAL_1, 6,0,hsize-1,vsize-1);
1167 tab_hline(self->t,TAL_1,5,6, 2);
1168 tab_vline(self->t,TAL_0,6,0,1);
1170 tab_joint_text(self->t, 5, 1, 6, 1, TAB_CENTER | TAT_PRINTF,
1171 _("%g%% Confidence Interval of the Difference"),
1172 cmd->criteria*100.0);
1174 tab_text (self->t, 2, 2, TAB_CENTER | TAT_TITLE, _("Mean"));
1175 tab_text (self->t, 3, 2, TAB_CENTER | TAT_TITLE, _("Std. Deviation"));
1176 tab_text (self->t, 4, 2, TAB_CENTER | TAT_TITLE, _("Std. Error Mean"));
1177 tab_text (self->t, 5, 2, TAB_CENTER | TAT_TITLE, _("Lower"));
1178 tab_text (self->t, 6, 2, TAB_CENTER | TAT_TITLE, _("Upper"));
1179 tab_text (self->t, 7, 2, TAB_CENTER | TAT_TITLE, _("t"));
1180 tab_text (self->t, 8, 2, TAB_CENTER | TAT_TITLE, _("df"));
1181 tab_text (self->t, 9, 2, TAB_CENTER | TAT_TITLE, _("Sig. (2-tailed)"));
1184 /* Populate the paired samples trbox */
1186 trbox_paired_populate(struct trbox *trb,
1187 struct cmd_t_test *cmd UNUSED)
1191 for (i=0; i < n_pairs; ++i)
1196 double n = pairs[i].n;
1200 tab_text (trb->t, 0, i+3, TAB_LEFT | TAT_PRINTF, _("Pair %d"),i);
1202 tab_text (trb->t, 1, i+3, TAB_LEFT | TAT_PRINTF, "%s - %s",
1203 pairs[i].v[0]->name, pairs[i].v[1]->name);
1205 tab_float(trb->t, 2, i+3, TAB_RIGHT, pairs[i].mean_diff, 8, 4);
1207 tab_float(trb->t, 3, i+3, TAB_RIGHT, pairs[i].std_dev_diff, 8, 5);
1210 se_mean = pairs[i].std_dev_diff / sqrt(n) ;
1211 tab_float(trb->t, 4, i+3, TAB_RIGHT, se_mean, 8,5 );
1213 /* Now work out the confidence interval */
1214 q = (1 - cmd->criteria)/2.0; /* 2-tailed test */
1216 t = gsl_cdf_tdist_Qinv(q, df);
1218 tab_float(trb->t, 5, i+3, TAB_RIGHT,
1219 pairs[i].mean_diff - t * se_mean , 8, 4);
1221 tab_float(trb->t, 6, i+3, TAB_RIGHT,
1222 pairs[i].mean_diff + t * se_mean , 8, 4);
1224 t = (pairs[i].mean[0] - pairs[i].mean[1])
1226 ( pow2 (pairs[i].s_std_dev[0]) + pow2 (pairs[i].s_std_dev[1]) -
1227 2 * pairs[i].correlation *
1228 pairs[i].s_std_dev[0] * pairs[i].s_std_dev[1] )
1232 tab_float(trb->t, 7, i+3, TAB_RIGHT, t , 8,3 );
1234 /* Degrees of freedom */
1235 tab_float(trb->t, 8, i+3, TAB_RIGHT, df , 2, 0 );
1237 p = gsl_cdf_tdist_P(t,df);
1238 q = gsl_cdf_tdist_P(t,df);
1240 tab_float(trb->t, 9, i+3, TAB_RIGHT, 2.0*(t>0?q:p) , 8, 3);
1245 /* Initialize the one sample trbox */
1247 trbox_one_sample_init(struct trbox *self, struct cmd_t_test *cmd )
1250 const int vsize=cmd->n_variables+3;
1252 self->populate = trbox_one_sample_populate;
1254 trbox_base_init(self, cmd->n_variables,hsize);
1255 tab_title (self->t, 0, _("One-Sample Test"));
1256 tab_hline(self->t, TAL_1, 1, hsize - 1, 1);
1257 tab_vline(self->t, TAL_2, 1, 0, vsize - 1);
1259 tab_joint_text(self->t, 1, 0, hsize-1,0, TAB_CENTER | TAT_PRINTF,
1260 _("Test Value = %f"), cmd->n_testval[0]);
1262 tab_box(self->t, -1, -1, -1, TAL_1, 1,1,hsize-1,vsize-1);
1265 tab_joint_text(self->t,5,1,6,1,TAB_CENTER | TAT_PRINTF,
1266 _("%g%% Confidence Interval of the Difference"),
1267 cmd->criteria*100.0);
1269 tab_vline(self->t,TAL_0,6,1,1);
1270 tab_hline(self->t,TAL_1,5,6,2);
1271 tab_text (self->t, 1, 2, TAB_CENTER | TAT_TITLE, _("t"));
1272 tab_text (self->t, 2, 2, TAB_CENTER | TAT_TITLE, _("df"));
1273 tab_text (self->t, 3, 2, TAB_CENTER | TAT_TITLE, _("Sig. (2-tailed)"));
1274 tab_text (self->t, 4, 2, TAB_CENTER | TAT_TITLE, _("Mean Difference"));
1275 tab_text (self->t, 5, 2, TAB_CENTER | TAT_TITLE, _("Lower"));
1276 tab_text (self->t, 6, 2, TAB_CENTER | TAT_TITLE, _("Upper"));
1281 /* Populate the one sample trbox */
1283 trbox_one_sample_populate(struct trbox *trb, struct cmd_t_test *cmd)
1289 for (i=0; i < cmd->n_variables; ++i)
1294 struct group_statistics *gs = &group_proc_get (cmd->v_variables[i])->ugs;
1297 tab_text (trb->t, 0, i+3, TAB_LEFT, cmd->v_variables[i]->name);
1299 t = (gs->mean - cmd->n_testval[0] ) * sqrt(gs->n) / gs->std_dev ;
1301 tab_float (trb->t, 1, i+3, TAB_RIGHT, t, 8,3);
1303 /* degrees of freedom */
1306 tab_float (trb->t, 2, i+3, TAB_RIGHT, df, 8,0);
1308 p = gsl_cdf_tdist_P(t, df);
1309 q = gsl_cdf_tdist_Q(t, df);
1311 /* Multiply by 2 to get 2-tailed significance, makeing sure we've got
1313 tab_float (trb->t, 3, i+3, TAB_RIGHT, 2.0*(t>0?q:p), 8,3);
1315 tab_float (trb->t, 4, i+3, TAB_RIGHT, gs->mean_diff, 8,3);
1318 q = (1 - cmd->criteria)/2.0; /* 2-tailed test */
1319 t = gsl_cdf_tdist_Qinv(q, df);
1321 tab_float (trb->t, 5, i+3, TAB_RIGHT,
1322 gs->mean_diff - t * gs->se_mean, 8,4);
1324 tab_float (trb->t, 6, i+3, TAB_RIGHT,
1325 gs->mean_diff + t * gs->se_mean, 8,4);
1329 /* Base initializer for the generalized trbox */
1331 trbox_base_init(struct trbox *self, int data_rows, int cols)
1333 const int rows = 3 + data_rows;
1335 self->finalize = trbox_base_finalize;
1336 self->t = tab_create (cols, rows, 0);
1337 tab_headers (self->t,0,0,3,0);
1338 tab_box (self->t, TAL_2, TAL_2, TAL_0, TAL_0, 0, 0, cols -1, rows -1);
1339 tab_hline(self->t, TAL_2,0,cols-1,3);
1340 tab_dim (self->t, tab_natural_dimensions);
1344 /* Base finalizer for the trbox */
1346 trbox_base_finalize(struct trbox *trb)
1352 /* Create , populate and submit the Paired Samples Correlation box */
1356 const int rows=1+n_pairs;
1360 struct tab_table *table;
1362 table = tab_create (cols,rows,0);
1364 tab_columns (table, SOM_COL_DOWN, 1);
1365 tab_headers (table,0,0,1,0);
1366 tab_box (table, TAL_2, TAL_2, TAL_0, TAL_1, 0, 0, cols -1, rows -1 );
1367 tab_hline(table, TAL_2, 0, cols - 1, 1);
1368 tab_vline(table, TAL_2, 2, 0, rows - 1);
1369 tab_dim(table, tab_natural_dimensions);
1370 tab_title(table, 0, _("Paired Samples Correlations"));
1372 /* column headings */
1373 tab_text(table, 2,0, TAB_CENTER | TAT_TITLE, _("N"));
1374 tab_text(table, 3,0, TAB_CENTER | TAT_TITLE, _("Correlation"));
1375 tab_text(table, 4,0, TAB_CENTER | TAT_TITLE, _("Sig."));
1377 for (i=0; i < n_pairs; ++i)
1381 double df = pairs[i].n -2;
1383 double correlation_t =
1384 pairs[i].correlation * sqrt(df) /
1385 sqrt(1 - pow2(pairs[i].correlation));
1389 tab_text(table, 0,i+1, TAB_LEFT | TAT_TITLE | TAT_PRINTF,
1392 tab_text(table, 1,i+1, TAB_LEFT | TAT_TITLE | TAT_PRINTF,
1393 _("%s & %s"), pairs[i].v[0]->name, pairs[i].v[1]->name);
1397 tab_float(table, 2, i+1, TAB_RIGHT, pairs[i].n, 4, 0);
1398 tab_float(table, 3, i+1, TAB_RIGHT, pairs[i].correlation, 8, 3);
1400 p = gsl_cdf_tdist_P(correlation_t, df);
1401 q = gsl_cdf_tdist_Q(correlation_t, df);
1403 tab_float(table, 4, i+1, TAB_RIGHT, 2.0*(correlation_t>0?q:p), 8, 3);
1412 /* Calculation Implementation */
1414 /* Per case calculations common to all variants of the T test */
1416 common_calc (const struct ccase *c, void *_cmd)
1419 struct cmd_t_test *cmd = (struct cmd_t_test *)_cmd;
1421 double weight = dict_get_case_weight(default_dict,c,&bad_weight_warn);
1424 /* Skip the entire case if /MISSING=LISTWISE is set */
1425 if ( cmd->miss == TTS_LISTWISE )
1427 for(i=0; i< cmd->n_variables ; ++i)
1429 struct variable *v = cmd->v_variables[i];
1430 const union value *val = case_data (c, v->fv);
1432 if (value_is_missing(val,v) )
1439 /* Listwise has to be implicit if the independent variable is missing ?? */
1440 if ( cmd->sbc_groups )
1442 const union value *gv = case_data (c, indep_var->fv);
1443 if ( value_is_missing(gv,indep_var) )
1450 for(i=0; i< cmd->n_variables ; ++i)
1452 struct group_statistics *gs;
1453 struct variable *v = cmd->v_variables[i];
1454 const union value *val = case_data (c, v->fv);
1456 gs= &group_proc_get (cmd->v_variables[i])->ugs;
1458 if (! value_is_missing(val,v) )
1461 gs->sum+=weight * val->f;
1462 gs->ssq+=weight * val->f * val->f;
1468 /* Pre calculations common to all variants of the T test */
1470 common_precalc ( struct cmd_t_test *cmd )
1474 for(i=0; i< cmd->n_variables ; ++i)
1476 struct group_statistics *gs;
1477 gs= &group_proc_get (cmd->v_variables[i])->ugs;
1486 /* Post calculations common to all variants of the T test */
1488 common_postcalc ( struct cmd_t_test *cmd )
1493 for(i=0; i< cmd->n_variables ; ++i)
1495 struct group_statistics *gs;
1496 gs= &group_proc_get (cmd->v_variables[i])->ugs;
1498 gs->mean=gs->sum / gs->n;
1499 gs->s_std_dev= sqrt(
1500 ( (gs->ssq / gs->n ) - gs->mean * gs->mean )
1505 ( (gs->ssq / gs->n ) - gs->mean * gs->mean )
1508 gs->se_mean = gs->std_dev / sqrt(gs->n);
1509 gs->mean_diff= gs->sum_diff / gs->n;
1513 /* Per case calculations for one sample t test */
1515 one_sample_calc (const struct ccase *c, void *cmd_)
1518 struct cmd_t_test *cmd = (struct cmd_t_test *)cmd_;
1521 double weight = dict_get_case_weight(default_dict,c,&bad_weight_warn);
1523 /* Skip the entire case if /MISSING=LISTWISE is set */
1524 if ( cmd->miss == TTS_LISTWISE )
1526 for(i=0; i< cmd->n_variables ; ++i)
1528 struct variable *v = cmd->v_variables[i];
1529 const union value *val = case_data (c, v->fv);
1531 if (value_is_missing(val,v) )
1538 for(i=0; i< cmd->n_variables ; ++i)
1540 struct group_statistics *gs;
1541 struct variable *v = cmd->v_variables[i];
1542 const union value *val = case_data (c, v->fv);
1544 gs= &group_proc_get (cmd->v_variables[i])->ugs;
1546 if ( ! value_is_missing(val,v))
1547 gs->sum_diff += weight * (val->f - cmd->n_testval[0]);
1553 /* Pre calculations for one sample t test */
1555 one_sample_precalc ( struct cmd_t_test *cmd )
1559 for(i=0; i< cmd->n_variables ; ++i)
1561 struct group_statistics *gs;
1562 gs= &group_proc_get (cmd->v_variables[i])->ugs;
1568 /* Post calculations for one sample t test */
1570 one_sample_postcalc (struct cmd_t_test *cmd)
1574 for(i=0; i< cmd->n_variables ; ++i)
1576 struct group_statistics *gs;
1577 gs= &group_proc_get (cmd->v_variables[i])->ugs;
1579 gs->mean_diff = gs->sum_diff / gs->n ;
1586 paired_precalc (struct cmd_t_test *cmd UNUSED)
1590 for(i=0; i < n_pairs ; ++i )
1593 pairs[i].sum[0] = 0; pairs[i].sum[1] = 0;
1594 pairs[i].ssq[0] = 0; pairs[i].ssq[1] = 0;
1595 pairs[i].sum_of_prod = 0;
1596 pairs[i].correlation = 0;
1597 pairs[i].sum_of_diffs = 0;
1598 pairs[i].ssq_diffs = 0;
1605 paired_calc (const struct ccase *c, void *cmd_)
1609 struct cmd_t_test *cmd = (struct cmd_t_test *) cmd_;
1611 double weight = dict_get_case_weight(default_dict,c,&bad_weight_warn);
1613 /* Skip the entire case if /MISSING=LISTWISE is set ,
1614 AND one member of a pair is missing */
1615 if ( cmd->miss == TTS_LISTWISE )
1617 for(i=0; i < n_pairs ; ++i )
1619 struct variable *v0 = pairs[i].v[0];
1620 struct variable *v1 = pairs[i].v[1];
1622 const union value *val0 = case_data (c, v0->fv);
1623 const union value *val1 = case_data (c, v1->fv);
1625 if ( value_is_missing(val0,v0) ||
1626 value_is_missing(val1,v1) )
1633 for(i=0; i < n_pairs ; ++i )
1635 struct variable *v0 = pairs[i].v[0];
1636 struct variable *v1 = pairs[i].v[1];
1638 const union value *val0 = case_data (c, v0->fv);
1639 const union value *val1 = case_data (c, v1->fv);
1641 if ( ( !value_is_missing(val0,v0) && !value_is_missing(val1,v1) ) )
1643 pairs[i].n += weight;
1644 pairs[i].sum[0] += weight * val0->f;
1645 pairs[i].sum[1] += weight * val1->f;
1647 pairs[i].ssq[0] += weight * pow2(val0->f);
1648 pairs[i].ssq[1] += weight * pow2(val1->f);
1650 pairs[i].sum_of_prod += weight * val0->f * val1->f ;
1652 pairs[i].sum_of_diffs += weight * ( val0->f - val1->f ) ;
1653 pairs[i].ssq_diffs += weight * pow2(val0->f - val1->f);
1661 paired_postcalc (struct cmd_t_test *cmd UNUSED)
1665 for(i=0; i < n_pairs ; ++i )
1668 const double n = pairs[i].n;
1670 for (j=0; j < 2 ; ++j)
1672 pairs[i].mean[j] = pairs[i].sum[j] / n ;
1673 pairs[i].s_std_dev[j] = sqrt((pairs[i].ssq[j] / n -
1674 pow2(pairs[i].mean[j]))
1677 pairs[i].std_dev[j] = sqrt(n/(n-1)*(pairs[i].ssq[j] / n -
1678 pow2(pairs[i].mean[j]))
1682 pairs[i].correlation = pairs[i].sum_of_prod / pairs[i].n -
1683 pairs[i].mean[0] * pairs[i].mean[1] ;
1684 /* correlation now actually contains the covariance */
1686 pairs[i].correlation /= pairs[i].std_dev[0] * pairs[i].std_dev[1];
1687 pairs[i].correlation *= pairs[i].n / ( pairs[i].n - 1 );
1689 pairs[i].mean_diff = pairs[i].sum_of_diffs / n ;
1691 pairs[i].std_dev_diff = sqrt ( n / (n - 1) * (
1692 ( pairs[i].ssq_diffs / n )
1694 pow2(pairs[i].mean_diff )
1700 group_precalc (struct cmd_t_test *cmd )
1705 for(i=0; i< cmd->n_variables ; ++i)
1707 struct group_proc *ttpr = group_proc_get (cmd->v_variables[i]);
1709 /* There's always 2 groups for a T - TEST */
1712 gp.indep_width = indep_var->width;
1714 ttpr->group_hash = hsh_create(2,
1715 (hsh_compare_func *) compare_group_binary,
1716 (hsh_hash_func *) hash_group_binary,
1717 (hsh_free_func *) free_group,
1720 for (j=0 ; j < 2 ; ++j)
1723 struct group_statistics *gs = (struct group_statistics *)
1724 xmalloc (sizeof(struct group_statistics));
1730 if ( gp.criterion == CMP_EQ )
1732 gs->id = gp.v.g_value[j];
1737 gs->id.f = gp.v.critical_value - 1.0 ;
1739 gs->id.f = gp.v.critical_value + 1.0 ;
1742 hsh_insert ( ttpr->group_hash, (void *) gs );
1750 group_calc (const struct ccase *c, struct cmd_t_test *cmd)
1754 const union value *gv = case_data (c, indep_var->fv);
1756 const double weight = dict_get_case_weight(default_dict,c,&bad_weight_warn);
1758 if ( value_is_missing(gv,indep_var) )
1763 if ( cmd->miss == TTS_LISTWISE )
1765 for(i=0; i< cmd->n_variables ; ++i)
1767 struct variable *v = cmd->v_variables[i];
1768 const union value *val = case_data (c, v->fv);
1770 if (value_is_missing(val,v) )
1777 gv = case_data (c, indep_var->fv);
1779 for(i=0; i< cmd->n_variables ; ++i)
1781 struct variable *var = cmd->v_variables[i];
1782 const union value *val = case_data (c, var->fv);
1783 struct hsh_table *grp_hash = group_proc_get (var)->group_hash;
1784 struct group_statistics *gs;
1786 gs = hsh_find(grp_hash, (void *) gv);
1788 /* If the independent variable doesn't match either of the values
1789 for this case then move on to the next case */
1793 if ( !value_is_missing(val,var) )
1796 gs->sum+=weight * val->f;
1797 gs->ssq+=weight * pow2(val->f);
1806 group_postcalc ( struct cmd_t_test *cmd )
1810 for(i=0; i< cmd->n_variables ; ++i)
1812 struct variable *var = cmd->v_variables[i];
1813 struct hsh_table *grp_hash = group_proc_get (var)->group_hash;
1814 struct hsh_iterator g;
1815 struct group_statistics *gs;
1818 for (gs = hsh_first (grp_hash,&g);
1820 gs = hsh_next(grp_hash,&g))
1822 gs->mean = gs->sum / gs->n;
1824 gs->s_std_dev= sqrt(
1825 ( (gs->ssq / gs->n ) - gs->mean * gs->mean )
1830 ( (gs->ssq / gs->n ) - gs->mean * gs->mean )
1833 gs->se_mean = gs->std_dev / sqrt(gs->n);
1843 calculate(const struct casefile *cf, void *cmd_)
1845 struct ssbox stat_summary_box;
1846 struct trbox test_results_box;
1848 struct casereader *r;
1851 struct cmd_t_test *cmd = (struct cmd_t_test *) cmd_;
1853 common_precalc(cmd);
1854 for(r = casefile_get_reader (cf);
1855 casereader_read (r, &c) ;
1858 common_calc(&c,cmd);
1860 casereader_destroy (r);
1861 common_postcalc(cmd);
1866 one_sample_precalc(cmd);
1867 for(r = casefile_get_reader (cf);
1868 casereader_read (r, &c) ;
1871 one_sample_calc(&c,cmd);
1873 casereader_destroy (r);
1874 one_sample_postcalc(cmd);
1878 paired_precalc(cmd);
1879 for(r = casefile_get_reader (cf);
1880 casereader_read (r, &c) ;
1883 paired_calc(&c,cmd);
1885 casereader_destroy (r);
1886 paired_postcalc(cmd);
1892 for(r = casefile_get_reader (cf);
1893 casereader_read (r, &c) ;
1898 casereader_destroy (r);
1899 group_postcalc(cmd);
1901 levene(cf, indep_var, cmd->n_variables, cmd->v_variables,
1902 (cmd->miss == TTS_LISTWISE)?LEV_LISTWISE:LEV_ANALYSIS ,
1907 ssbox_create(&stat_summary_box,cmd,mode);
1908 ssbox_populate(&stat_summary_box,cmd);
1909 ssbox_finalize(&stat_summary_box);
1911 if ( mode == T_PAIRED)
1914 trbox_create(&test_results_box,cmd,mode);
1915 trbox_populate(&test_results_box,cmd);
1916 trbox_finalize(&test_results_box);
1920 short which_group(const struct group_statistics *g,
1921 const struct group_properties *p);
1923 /* Return -1 if the id of a is less than b; +1 if greater than and
1926 compare_group_binary(const struct group_statistics *a,
1927 const struct group_statistics *b,
1928 const struct group_properties *p)
1933 if ( p->criterion == CMP_LE )
1935 /* less-than-or-equal comparision is not meaningfull for
1936 alpha variables, so we shouldn't ever arrive here */
1937 assert(p->indep_width == 0 ) ;
1939 flag_a = ( a->id.f < p->v.critical_value ) ;
1940 flag_b = ( b->id.f < p->v.critical_value ) ;
1944 flag_a = which_group(a, p);
1945 flag_b = which_group(b, p);
1948 if (flag_a < flag_b )
1951 return (flag_a > flag_b);
1954 /* This is a degenerate case of a hash, since it can only return three possible
1955 values. It's really a comparison, being used as a hash function */
1958 hash_group_binary(const struct group_statistics *g,
1959 const struct group_properties *p)
1963 if ( p->criterion == CMP_LE )
1965 /* Not meaningfull to do a less than compare for alpha values ? */
1966 assert(p->indep_width == 0 ) ;
1967 flag = ( g->id.f < p->v.critical_value ) ;
1969 else if ( p->criterion == CMP_EQ)
1971 flag = which_group(g,p);
1979 /* return 0 if G belongs to group 0,
1980 1 if it belongs to group 1,
1981 2 if it belongs to neither group */
1983 which_group(const struct group_statistics *g,
1984 const struct group_properties *p)
1987 if ( 0 == compare_values (&g->id, &p->v.g_value[0], p->indep_width))
1990 if ( 0 == compare_values (&g->id, &p->v.g_value[1], p->indep_width))