1: # The LearningOnline Network with CAPA
2: #
3: # $Id: lonproblemstatistics.pm,v 1.90 2004/07/12 19:30:12 matthew Exp $
4: #
5: # Copyright Michigan State University Board of Trustees
6: #
7: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
8: #
9: # LON-CAPA is free software; you can redistribute it and/or modify
10: # it under the terms of the GNU General Public License as published by
11: # the Free Software Foundation; either version 2 of the License, or
12: # (at your option) any later version.
13: #
14: # LON-CAPA is distributed in the hope that it will be useful,
15: # but WITHOUT ANY WARRANTY; without even the implied warranty of
16: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17: # GNU General Public License for more details.
18: #
19: # You should have received a copy of the GNU General Public License
20: # along with LON-CAPA; if not, write to the Free Software
21: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
22: #
23: # /home/httpd/html/adm/gpl.txt
24: #
25: # http://www.lon-capa.org/
26: #
27: # (Navigate problems for statistical reports
28: #
29: ###############################################
30: ###############################################
31:
32: =pod
33:
34: =head1 NAME
35:
36: lonproblemstatistics
37:
38: =head1 SYNOPSIS
39:
40: Routines to present problem statistics to instructors via tables,
41: Excel files, and plots.
42:
43: =over 4
44:
45: =cut
46:
47: ###############################################
48: ###############################################
49:
50: package Apache::lonproblemstatistics;
51:
52: use strict;
53: use Apache::lonnet();
54: use Apache::loncommon();
55: use Apache::lonhtmlcommon;
56: use Apache::loncoursedata;
57: use Apache::lonstatistics;
58: use LONCAPA::lonmetadata();
59: use Apache::lonlocal;
60: use Spreadsheet::WriteExcel;
61: use Apache::lonstathelpers();
62: use Time::HiRes;
63:
64: my @StatsArray;
65: my %SeqStat; # keys are symbs, values are hash refs
66:
67: ##
68: ## Localization notes:
69: ##
70: ## in @Fields[0]->{'long_title'} is placed in Excel files and is used as the
71: ## header for plots created with Graph.pm, both of which more than likely do
72: ## not support localization.
73: ##
74: #
75: #
76: ##
77: ## Description of Field attributes
78: ##
79: ## Attribute Required Value Meaning or Use
80: ##
81: ## name yes any scalar Used to uniquely identify field
82: ## title yes any scalar This is what the user sees to identify
83: ## the field. Passed through &mt().
84: ## long_title yes any scalar Used as graph heading and in excel
85: ## output. NOT translated
86: ## align no (left|right|center) HTML cell contents alignment
87: ## color yes html color HTML cell background color
88: ## used to visually group statistics
89: ## special no (link) Indicates a link, target is name.link
90: ## Currently set in &get_statistics()
91: ## graphable no (yes|no) Can a bar graph of the field be
92: ## produced?
93: ## sortable no (yes|no) Should a sort link be put in the
94: ## column header?
95: ## selectable yes (yes|no) Can the column be removed from the
96: ## statistics display?
97: ## selected yes (yes|no) Is the column selected by default?
98: ##
99: ## format no sprintf format string
100: ##
101: ## excel_format no excel format type
102: ## (see &Apache::loncommon::define_excel_formats
103: my @Fields = (
104: { name => 'problem_num',
105: title => 'P#',
106: align => 'right',
107: color => '#FFFFE6',
108: selectable => 'no',
109: defaultselected => 'yes',
110: },
111: { name => 'container',
112: title => 'Sequence or Folder',
113: align => 'left',
114: color => '#FFFFE6',
115: sortable => 'yes',
116: selectable => 'no',
117: defaultselected => 'yes',
118: },
119: { name => 'title',
120: title => 'Title',
121: align => 'left',
122: color => '#FFFFE6',
123: special => 'link',
124: sortable => 'yes',
125: selectable => 'no',
126: defaultselected => 'yes',
127: },
128: { name => 'part',
129: title => 'Part',
130: align => 'left',
131: color => '#FFFFE6',
132: selectable => 'no',
133: defaultselected => 'yes',
134: },
135: { name => 'num_students',
136: title => '#Stdnts',
137: align => 'right',
138: color => '#EEFFCC',
139: format => '%d',
140: sortable => 'yes',
141: graphable => 'yes',
142: long_title => 'Number of Students Attempting Problem',
143: selectable => 'yes',
144: defaultselected => 'yes',
145: },
146: { name => 'tries',
147: title => 'Tries',
148: align => 'right',
149: color => '#EEFFCC',
150: format => '%d',
151: sortable => 'yes',
152: graphable => 'yes',
153: long_title => 'Total Number of Tries',
154: selectable => 'yes',
155: defaultselected => 'yes',
156: },
157: { name => 'max_tries',
158: title => 'Max Tries',
159: align => 'right',
160: color => '#DDFFFF',
161: format => '%d',
162: sortable => 'yes',
163: graphable => 'yes',
164: long_title => 'Maximum Number of Tries',
165: selectable => 'yes',
166: defaultselected => 'yes',
167: },
168: { name => 'min_tries',
169: title => 'Min Tries',
170: align => 'right',
171: color => '#DDFFFF',
172: format => '%d',
173: sortable => 'yes',
174: graphable => 'yes',
175: long_title => 'Minumum Number of Tries',
176: selectable => 'yes',
177: defaultselected => 'yes',
178: },
179: { name => 'mean_tries',
180: title => 'Mean Tries',
181: align => 'right',
182: color => '#DDFFFF',
183: format => '%5.2f',
184: sortable => 'yes',
185: graphable => 'yes',
186: long_title => 'Average Number of Tries',
187: selectable => 'yes',
188: defaultselected => 'yes',
189: },
190: { name => 'std_tries',
191: title => 'S.D. tries',
192: align => 'right',
193: color => '#DDFFFF',
194: format => '%5.2f',
195: sortable => 'yes',
196: graphable => 'yes',
197: long_title => 'Standard Deviation of Number of Tries',
198: selectable => 'yes',
199: defaultselected => 'yes',
200: },
201: { name => 'skew_tries',
202: title => 'Skew Tries',
203: align => 'right',
204: color => '#DDFFFF',
205: format => '%5.2f',
206: sortable => 'yes',
207: graphable => 'yes',
208: long_title => 'Skew of Number of Tries',
209: selectable => 'yes',
210: defaultselected => 'no',
211: },
212: { name => 'num_solved',
213: title => '#YES',
214: align => 'right',
215: color => '#FFDDDD',
216: format => '%4.1f',# format => '%d',
217: sortable => 'yes',
218: graphable => 'yes',
219: long_title => 'Number of Students able to Solve',
220: selectable => 'yes',
221: defaultselected => 'yes',
222: },
223: { name => 'num_override',
224: title => '#yes',
225: align => 'right',
226: color => '#FFDDDD',
227: format => '%4.1f',# format => '%d',
228: sortable => 'yes',
229: graphable => 'yes',
230: long_title => 'Number of Students given Override',
231: selectable => 'yes',
232: defaultselected => 'yes',
233: },
234: { name => 'num_wrong',
235: title => '#Wrng',
236: align => 'right',
237: color => '#FFDDDD',
238: format => '%4.1f',
239: sortable => 'yes',
240: graphable => 'yes',
241: long_title => 'Percent of students whose final answer is wrong',
242: selectable => 'yes',
243: defaultselected => 'yes',
244: },
245: { name => 'deg_of_diff',
246: title => 'DoDiff',
247: align => 'right',
248: color => '#FFFFE6',
249: format => '%5.2f',
250: sortable => 'yes',
251: graphable => 'yes',
252: long_title => 'Degree of Difficulty'.
253: '[ 1 - ((#YES+#yes) / Tries) ]',
254: selectable => 'yes',
255: defaultselected => 'yes',
256: },
257: { name => 'deg_of_disc',
258: title => 'DoDisc',
259: align => 'right',
260: color => '#FFFFE6',
261: format => '%4.2f',
262: sortable => 'yes',
263: graphable => 'yes',
264: long_title => 'Degree of Discrimination',
265: selectable => 'yes',
266: defaultselected => 'yes',
267: },
268: ## duedate included for research purposes. Commented out most of the time.
269: # { name => 'duedate',
270: # title => 'Due Date',
271: # align => 'left',
272: # color => '#FFFFFF',
273: # sortable => 'yes',
274: # graphable => 'no',
275: # long_title => 'Due date of resource for instructor',
276: # selectable => 'no',
277: # defaultselected => 'yes',
278: # },
279: ## opendate included for research purposes. Commented out most of the time.
280: # { name => 'opendate',
281: # title => 'Open Date',
282: # align => 'left',
283: # color => '#FFFFFF',
284: # sortable => 'yes',
285: # graphable => 'no',
286: # long_title => 'date resource became answerable',
287: # selectable => 'no',
288: # defaultselected => 'yes',
289: # },
290: ## symb included for research purposes. Commented out most of the time.
291: # { name => 'symb',
292: # title => 'Symb',
293: # align => 'left',
294: # color => '#FFFFFF',
295: # sortable => 'yes',
296: # graphable => 'no',
297: # long_title => 'Unique LON-CAPA identifier for problem',
298: # selectable => 'no',
299: # defaultselected => 'yes',
300: # },
301: ## resptypes included for research purposes. Commented out most of the time.
302: # { name => 'resptypes',
303: # title => 'Response Types',
304: # align => 'left',
305: # color => '#FFFFFF',
306: # sortable => 'no',
307: # graphable => 'no',
308: # long_title => 'Response Types used in this problem',
309: # selectable => 'no',
310: # defaultselected => 'yes',
311: # },
312: );
313:
314: my @SeqFields = (
315: { name => 'title',
316: title => 'Sequence',
317: align => 'left',
318: color => '#FFFFE6',
319: special => 'no',
320: sortable => 'no',
321: selectable => 'yes',
322: defaultselected => 'no',
323: },
324: { name => 'items',
325: title => '#Items',
326: align => 'right',
327: color => '#FFFFE6',
328: format => '%4d',
329: sortable => 'no',
330: graphable => 'no',
331: long_title => 'Number of Items in Sequence',
332: selectable => 'yes',
333: defaultselected => 'no',
334: },
335: { name => 'scoremean',
336: title => 'Score Mean',
337: align => 'right',
338: color => '#FFFFE6',
339: format => '%4.2f',
340: sortable => 'no',
341: graphable => 'no',
342: long_title => 'Mean Sequence Score',
343: selectable => 'yes',
344: defaultselected => 'no',
345: },
346: { name => 'scorestd',
347: title => 'Score STD',
348: align => 'right',
349: color => '#FFFFE6',
350: format => '%4.2f',
351: sortable => 'no',
352: graphable => 'no',
353: long_title => 'Standard Deviation of Sequence Scores',
354: selectable => 'yes',
355: defaultselected => 'no',
356: },
357: { name => 'scoremax',
358: title => 'Score Max',
359: align => 'right',
360: color => '#FFFFE6',
361: format => '%4.2f',
362: sortable => 'no',
363: graphable => 'no',
364: long_title => 'Maximum Sequence Score',
365: selectable => 'yes',
366: defaultselected => 'no',
367: },
368: { name => 'scoremin',
369: title => 'Score Min',
370: align => 'right',
371: color => '#FFFFE6',
372: format => '%4.2f',
373: sortable => 'no',
374: graphable => 'no',
375: long_title => 'Minumum Sequence Score',
376: selectable => 'yes',
377: defaultselected => 'no',
378: },
379: { name => 'scorecount',
380: title => 'Score N',
381: align => 'right',
382: color => '#FFFFE6',
383: format => '%4d',
384: sortable => 'no',
385: graphable => 'no',
386: long_title => 'Number of Students in score computations',
387: selectable => 'yes',
388: defaultselected => 'no',
389: },
390: { name => 'countmean',
391: title => 'Count Mean',
392: align => 'right',
393: color => '#FFFFFF',
394: format => '%4.2f',
395: sortable => 'no',
396: graphable => 'no',
397: long_title => 'Mean Sequence Score',
398: selectable => 'yes',
399: defaultselected => 'no',
400: },
401: { name => 'countstd',
402: title => 'Count STD',
403: align => 'right',
404: color => '#FFFFFF',
405: format => '%4.2f',
406: sortable => 'no',
407: graphable => 'no',
408: long_title => 'Standard Deviation of Sequence Scores',
409: selectable => 'yes',
410: defaultselected => 'no',
411: },
412: { name => 'countmax',
413: title => 'Count Max',
414: align => 'right',
415: color => '#FFFFFF',
416: format => '%4.2f',
417: sortable => 'no',
418: graphable => 'no',
419: long_title => 'Maximum Number of Correct Problems',
420: selectable => 'yes',
421: defaultselected => 'no',
422: },
423: { name => 'countmin',
424: title => 'Count Min',
425: align => 'right',
426: color => '#FFFFFF',
427: format => '%4.2f',
428: sortable => 'no',
429: graphable => 'no',
430: long_title => 'Minumum Number of Correct Problems',
431: selectable => 'yes',
432: defaultselected => 'no',
433: },
434: { name => 'count',
435: title => 'Count N',
436: align => 'right',
437: color => '#FFFFFF',
438: format => '%4d',
439: sortable => 'no',
440: graphable => 'no',
441: long_title => 'Number of Students in score computations',
442: selectable => 'yes',
443: defaultselected => 'no',
444: },
445: { name => 'KR-21',
446: title => 'KR-21',
447: align => 'right',
448: color => '#FFAAAA',
449: format => '%4.2f',
450: sortable => 'no',
451: graphable => 'no',
452: long_title => 'KR-21 reliability statistic',
453: selectable => 'yes',
454: defaultselected => 'no',
455: },
456: );
457:
458: my %SelectedFields;
459:
460: sub parse_field_selection {
461: #
462: # Pull out the defaults
463: if (! defined($ENV{'form.fieldselections'})) {
464: $ENV{'form.fieldselections'} = [];
465: foreach my $field (@Fields) {
466: next if ($field->{'selectable'} ne 'yes');
467: if ($field->{'defaultselected'} eq 'yes') {
468: push(@{$ENV{'form.fieldselections'}},$field->{'name'});
469: }
470: }
471: }
472: #
473: # Make sure the data we are plotting is there
474: my %NeededFields;
475: if (exists($ENV{'form.plot'}) && $ENV{'form.plot'} ne '' &&
476: $ENV{'form.plot'} ne 'none') {
477: if ($ENV{'form.plot'} eq 'degrees') {
478: $NeededFields{'deg_of_diff'}++;
479: $NeededFields{'deg_of_disc'}++;
480: } elsif ($ENV{'form.plot'} eq 'tries statistics') {
481: $NeededFields{'mean_tries'}++;
482: $NeededFields{'std_tries'}++;
483: $NeededFields{'problem_num'}++;
484: } else {
485: $NeededFields{$ENV{'form.plot'}}++;
486: }
487: }
488: #
489: # This should not happen, but in case it does...
490: if (ref($ENV{'form.fieldselections'}) ne 'ARRAY') {
491: $ENV{'form.fieldselections'} = [$ENV{'form.fieldselections'}];
492: }
493: #
494: # Set the field data and the selected fields (for easier checking)
495: undef(%SelectedFields);
496: foreach my $field (@Fields) {
497: if ($field->{'selectable'} ne 'yes') {
498: $field->{'selected'} = 'yes';
499: } else {
500: $field->{'selected'} = 'no';
501: }
502: if (exists($NeededFields{$field->{'name'}})) {
503: $field->{'selected'} = 'yes';
504: $SelectedFields{$field->{'name'}}++;
505: }
506: foreach my $selection (@{$ENV{'form.fieldselections'}}) {
507: if ($selection eq $field->{'name'} || $selection eq 'all') {
508: $field->{'selected'} = 'yes';
509: $SelectedFields{$field->{'name'}}++;
510: }
511: }
512: }
513: #
514: # Always show all the sequence statistics (for now)
515: foreach my $field (@SeqFields) {
516: $field->{'selected'} = 'yes';
517: }
518: return;
519: }
520:
521: sub field_selection_input {
522: my $Str = '<select name="fieldselections" multiple size="5">'."\n";
523: $Str .= '<option value="all">all</option>'."\n";
524: foreach my $field (@Fields) {
525: next if ($field->{'selectable'} ne 'yes');
526: $Str .= ' <option value="'.$field->{'name'}.'" ';
527: if ($field->{'selected'} eq 'yes') {
528: $Str .= 'selected ';
529: }
530: $Str .= '>'.$field->{'title'}.'</option>'."\n";
531: }
532: $Str .= "</select>\n";
533: }
534:
535: ###############################################
536: ###############################################
537:
538: =pod
539:
540: =item &CreateInterface()
541:
542: Create the main intereface for the statistics page. Allows the user to
543: select sections, maps, and output.
544:
545: =cut
546:
547: ###############################################
548: ###############################################
549: sub CreateInterface {
550: my ($r) = @_;
551: #
552: &parse_field_selection();
553: #
554: my $Str = '';
555: $Str .= &Apache::lonhtmlcommon::breadcrumbs
556: (undef,'Overall Problem Statistics','Statistics_Overall_Key');
557: $Str .= '<table cellspacing="5">'."\n";
558: $Str .= '<tr>';
559: $Str .= '<td align="center"><b>'.&mt('Sections').'</b></td>';
560: $Str .= '<td align="center"><b>'.&mt('Enrollment Status').'</b></td>';
561: $Str .= '<td align="center"><b>'.&mt('Sequences and Folders').'</b></td>';
562: $Str .= '<td align="center"><b>'.&mt('Statistics').'</b></td>';
563: $Str .= '<td rowspan="2">'.
564: &Apache::lonstathelpers::limit_by_time_form().'</td>';
565: $Str .= '</tr>'."\n";
566: #
567: $Str .= '<tr><td align="center">'."\n";
568: $Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5);
569: $Str .= '</td><td align="center">';
570: $Str .= &Apache::lonhtmlcommon::StatusOptions(undef,undef,5);
571: $Str .= '</td><td align="center">';
572: #
573: my $only_seq_with_assessments = sub {
574: my $s=shift;
575: if ($s->{'num_assess'} < 1) {
576: return 0;
577: } else {
578: return 1;
579: }
580: };
581: $Str .= &Apache::lonstatistics::MapSelect('Maps','multiple,all',5,
582: $only_seq_with_assessments);
583: $Str .= '</td><td>'.&field_selection_input();
584: $Str .= '</td></tr>'."\n";
585: $Str .= '</table>'."\n";
586: #
587: $Str .= '<p>'.&mt('Status: [_1]',
588: '<input type="text" '.
589: 'name="stats_status" size="60" value="" />'
590: ).
591: '</nobr></p>';
592: #
593: $Str .= '<input type="submit" name="GenerateStatistics" value="'.
594: &mt('Generate Statistics').'" />';
595: $Str .= ' 'x5;
596: $Str .= 'Plot '.&plot_dropdown().(' 'x10);
597: #
598: return $Str;
599: }
600:
601: ###############################################
602: ###############################################
603:
604: =pod
605:
606: =item &BuildProblemStatisticsPage()
607:
608: Main interface to problem statistics.
609:
610: =cut
611:
612: ###############################################
613: ###############################################
614: sub BuildProblemStatisticsPage {
615: my ($r,$c)=@_;
616: #
617: my %Saveable_Parameters = ('Status' => 'scalar',
618: 'statsoutputmode' => 'scalar',
619: 'Section' => 'array',
620: 'StudentData' => 'array',
621: 'Maps' => 'array',
622: 'fieldselections'=> 'array');
623: &Apache::loncommon::store_course_settings('statistics',
624: \%Saveable_Parameters);
625: &Apache::loncommon::restore_course_settings('statistics',
626: \%Saveable_Parameters);
627: #
628: &Apache::lonstatistics::PrepareClasslist();
629: #
630: # Clear the package variables
631: undef(@StatsArray);
632: undef(%SeqStat);
633: #
634: # Finally let the user know we are here
635: my $interface = &CreateInterface($r);
636: $r->print($interface);
637: $r->print('<input type="hidden" name="sortby" value="'.$ENV{'form.sortby'}.
638: '" />');
639: #
640: my @CacheButtonHTML =
641: &Apache::lonstathelpers::manage_caches($r,'Statistics','stats_status');
642: my $Str;
643: foreach my $html (@CacheButtonHTML) {
644: $Str.=$html.(' 'x5);
645: }
646: #
647: $r->print($Str);
648: if (! exists($ENV{'form.firstrun'})) {
649: $r->print('<h3>'.
650: &mt('Press "Generate Statistics" when you are ready.').
651: '</h3><p>'.
652: &mt('It may take some time to update the student data '.
653: 'for the first analysis. Future analysis this session '.
654: ' will not have this delay.').
655: '</p>');
656: return;
657: }
658: $r->rflush();
659: #
660: # This probably does not need to be done each time we are called, but
661: # it does not slow things down noticably.
662: &Apache::loncoursedata::populate_weight_table();
663: #
664: if (exists($ENV{'form.Excel'})) {
665: &Excel_output($r);
666: } else {
667: $r->print('<input type="submit" name="Excel" value="'.
668: &mt('Produce Excel Output').'" />'.' 'x5);
669: $r->rflush();
670: my $count = 0;
671: foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) {
672: $count += $seq->{'num_assess_parts'};
673: }
674: if ($count > 10) {
675: $r->print('<h2>'.
676: &mt('Compiling statistics for [_1] problems',$count).
677: '</h2>');
678: if ($count > 30) {
679: $r->print('<h3>'.&mt('This will take some time.').'</h3>');
680: }
681: $r->rflush();
682: }
683: #
684: my $sortby = $ENV{'form.sortby'};
685: $sortby = 'container' if (! defined($sortby) || $sortby =~ /^\s*$/);
686: my $plot = $ENV{'form.plot'};
687: if ($plot eq '' || $plot eq 'none') {
688: undef($plot);
689: }
690: if ($sortby eq 'container' && ! defined($plot)) {
691: &output_sequence_statistics($r);
692: &output_html_by_sequence($r);
693: } else {
694: if (defined($plot)) {
695: &make_plot($r,$plot);
696: }
697: &output_html_stats($r);
698: &output_sequence_statistics($r);
699: }
700: }
701: return;
702: }
703:
704: sub output_sequence_statistics {
705: my ($r) = @_;
706: my $c=$r->connection();
707: $r->print('<h2>'.&mt('Sequence Statistics').
708: &Apache::loncommon::help_open_topic('Statistics_Sequence').
709: '</h2>');
710: $r->print('<table border="0"><tr><td bgcolor="#777777">'."\n".
711: '<table border="0" cellpadding="3">'."\n".
712: '<tr bgcolor="#FFFFE6">');
713: $r->print(&sequence_html_header());
714: foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) {
715: last if ($c->aborted);
716: next if ($seq->{'num_assess'} < 1);
717: &compute_sequence_statistics($seq);
718: $r->print(&sequence_html_output($seq));
719: }
720: $r->print('</table>');
721: $r->print('</table>');
722: $r->rflush();
723: return;
724: }
725:
726:
727: ##########################################################
728: ##########################################################
729: ##
730: ## HTML output routines
731: ##
732: ##########################################################
733: ##########################################################
734: sub output_html_by_sequence {
735: my ($r) = @_;
736: my $c = $r->connection();
737: $r->print(&html_preamble());
738: #
739: foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) {
740: last if ($c->aborted);
741: next if ($seq->{'num_assess'} < 1);
742: $r->print("<h3>".$seq->{'title'}."</h3>".
743: '<table border="0"><tr><td bgcolor="#777777">'."\n".
744: '<table border="0" cellpadding="3">'."\n".
745: '<tr bgcolor="#FFFFE6">'.
746: &statistics_table_header('no container')."</tr>\n");
747: my @Data = &compute_statistics_on_sequence($seq);
748: foreach my $data (@Data) {
749: $r->print('<tr>'.&statistics_html_table_data($data,
750: 'no container').
751: "</tr>\n");
752: }
753: $r->print('</table>'."\n".'</table>'."\n");
754: $r->rflush();
755: }
756: return;
757: }
758:
759: sub output_html_stats {
760: my ($r)=@_;
761: &compute_all_statistics($r);
762: $r->print(&html_preamble());
763: &sort_data($ENV{'form.sortby'});
764: #
765: my $count=0;
766: foreach my $data (@StatsArray) {
767: if ($count++ % 50 == 0) {
768: $r->print("</table>\n</table>\n");
769: $r->print('<table border="0"><tr><td bgcolor="#777777">'."\n".
770: '<table border="0" cellpadding="3">'."\n".
771: '<tr bgcolor="#FFFFE6">'.
772: '<tr bgcolor="#FFFFE6">'.
773: &statistics_table_header().
774: "</tr>\n");
775: }
776: $r->print('<tr>'.&statistics_html_table_data($data)."</tr>\n");
777: }
778: $r->print("</table>\n</table>\n");
779: return;
780: }
781:
782: sub html_preamble {
783: my $Str='';
784: $Str .= "<h2>".
785: $ENV{'course.'.$ENV{'request.course.id'}.'.description'}.
786: "</h2>\n";
787: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
788: if (defined($starttime) || defined($endtime)) {
789: # Inform the user what the time limits on the data are.
790: $Str .= '<h3>'.&mt('Statistics on submissions from [_1] to [_2]',
791: &Apache::lonlocal::locallocaltime($starttime),
792: &Apache::lonlocal::locallocaltime($endtime)
793: ).'</h3>';
794: }
795: $Str .= "<h3>".&mt('Compiled on [_1]',
796: &Apache::lonlocal::locallocaltime(time))."</h3>";
797: return $Str;
798: }
799:
800:
801: ###############################################
802: ###############################################
803: ##
804: ## Misc HTML output routines
805: ##
806: ###############################################
807: ###############################################
808: sub statistics_html_table_data {
809: my ($data,$options) = @_;
810: my $row = '';
811: foreach my $field (@Fields) {
812: next if ($options =~ /no $field->{'name'}/);
813: next if ($field->{'selected'} ne 'yes');
814: $row .= '<td bgcolor="'.$field->{'color'}.'"';
815: if (exists($field->{'align'})) {
816: $row .= ' align="'.$field->{'align'}.'"';
817: }
818: $row .= '>';
819: if (exists($field->{'special'}) && $field->{'special'} eq 'link') {
820: $row .= '<a href="'.$data->{$field->{'name'}.'.link'}.'">';
821: }
822: if (exists($field->{'format'})) {
823: $row .= sprintf($field->{'format'},$data->{$field->{'name'}});
824: } else {
825: $row .= $data->{$field->{'name'}};
826: }
827: if (exists($field->{'special'}) && $field->{'special'} eq 'link') {
828: $row.= '</a>';
829: }
830: $row .= '</td>';
831: }
832: return $row;
833: }
834:
835: sub statistics_table_header {
836: my ($options) = @_;
837: my $header_row;
838: foreach my $field (@Fields) {
839: next if ($options =~ /no $field->{'name'}/);
840: next if ($field->{'selected'} ne 'yes');
841: $header_row .= '<th>';
842: if (exists($field->{'sortable'}) && $field->{'sortable'} eq 'yes') {
843: $header_row .= '<a href="javascript:'.
844: 'document.Statistics.sortby.value='."'".$field->{'name'}."'".
845: ';document.Statistics.submit();">';
846: }
847: $header_row .= &mt($field->{'title'});
848: if ($options =~ /sortable/) {
849: $header_row.= '</a>';
850: }
851: if ($options !~ /no plots/ &&
852: exists($field->{'graphable'}) &&
853: $field->{'graphable'} eq 'yes') {
854: $header_row.=' (';
855: $header_row .= '<a href="javascript:'.
856: "document.Statistics.plot.value='$field->{'name'}'".
857: ';document.Statistics.submit();">';
858: $header_row .= &mt('plot').'</a>)';
859: }
860: $header_row .= '</th>';
861: }
862: return $header_row;
863: }
864:
865: sub sequence_html_header {
866: my $Str .= '<tr>';
867: foreach my $field (@SeqFields) {
868: # next if ($field->{'selected'} ne 'yes');
869: $Str .= '<th bgcolor="'.$field->{'color'}.'"';
870: $Str .= '>'.$field->{'title'}.'</th>';
871: }
872: $Str .= '</tr>';
873: return $Str;
874: }
875:
876:
877: sub sequence_html_output {
878: my ($seq) = @_;
879: my $data = $SeqStat{$seq->{'symb'}};
880: my $row = '<tr>';
881: foreach my $field (@SeqFields) {
882: next if ($field->{'selected'} ne 'yes');
883: $row .= '<td bgcolor="'.$field->{'color'}.'"';
884: if (exists($field->{'align'})) {
885: $row .= ' align="'.$field->{'align'}.'"';
886: }
887: $row .= '>';
888: if (exists($field->{'format'})) {
889: $row .= sprintf($field->{'format'},$data->{$field->{'name'}});
890: } else {
891: $row .= $data->{$field->{'name'}};
892: }
893: $row .= '</td>';
894: }
895: $row .= '</tr>'."\n";
896: return $row;
897: }
898:
899: ####################################################
900: ####################################################
901: ##
902: ## Plotting Routines
903: ##
904: ####################################################
905: ####################################################
906: sub make_plot {
907: my ($r,$plot) = @_;
908: &compute_all_statistics($r);
909: &sort_data($ENV{'form.sortby'});
910: if ($plot eq 'degrees') {
911: °rees_plot($r);
912: } elsif ($plot eq 'tries statistics') {
913: &tries_data_plot($r);
914: } else {
915: &make_single_stat_plot($r,$plot);
916: }
917: return;
918: }
919:
920: sub make_single_stat_plot {
921: my ($r,$datafield) = @_;
922: #
923: my $title; my $yaxis;
924: foreach my $field (@Fields) {
925: next if ($field->{'name'} ne $datafield);
926: $title = $field->{'long_title'};
927: $yaxis = $field->{'title'};
928: last;
929: }
930: if ($title eq '' || $yaxis eq '') {
931: # datafield is something we do not know enough about to plot
932: $r->print('<h3>'.
933: &mt('Unable to plot the requested statistic.').
934: '</h3>');
935: return;
936: }
937: #
938: # Build up the data sets to plot
939: my @Labels;
940: my @Data;
941: my $max = 1;
942: foreach my $data (@StatsArray) {
943: push(@Labels,$data->{'problem_num'});
944: push(@Data,$data->{$datafield});
945: if ($data->{$datafield}>$max) {
946: $max = $data->{$datafield};
947: }
948: }
949: foreach (1,2,3,4,5,10,15,20,25,40,50,75,100,150,200,250,300,500,600,750,
950: 1000,1500,2000,2500,3000,3500,4000,5000,7500,10000,15000,20000) {
951: if ($max <= $_) {
952: $max = $_;
953: last;
954: }
955: }
956: if ($max > 20000) {
957: $max = 10000*(int($max/10000)+1);
958: }
959: #
960: $r->print("<p>".&Apache::loncommon::DrawBarGraph($title,
961: 'Problem Number',
962: $yaxis,
963: $max,
964: undef, # colors
965: \@Labels,
966: \@Data)."</p>\n");
967: return;
968: }
969:
970: sub degrees_plot {
971: my ($r)=@_;
972: my $count = scalar(@StatsArray);
973: my $width = 50 + 10*$count;
974: $width = 300 if ($width < 300);
975: my $height = 300;
976: my $plot = '';
977: my $ymax = 0;
978: my $ymin = 0;
979: my @Disc; my @Diff; my @Labels;
980: foreach my $data (@StatsArray) {
981: push(@Labels,$data->{'problem_num'});
982: my $disc = $data->{'deg_of_disc'};
983: my $diff = $data->{'deg_of_diff'};
984: push(@Disc,$disc);
985: push(@Diff,$diff);
986: #
987: $ymin = $disc if ($ymin > $disc);
988: $ymin = $diff if ($ymin > $diff);
989: $ymax = $disc if ($ymax < $disc);
990: $ymax = $diff if ($ymax < $diff);
991: }
992: #
993: # Make sure we show relevant information.
994: if ($ymin < 0) {
995: if (abs($ymin) < 0.05) {
996: $ymin = 0;
997: } else {
998: $ymin = -1;
999: }
1000: }
1001: if ($ymax > 0) {
1002: if (abs($ymax) < 0.05) {
1003: $ymax = 0;
1004: } else {
1005: $ymax = 1;
1006: }
1007: }
1008: #
1009: my $xmax = $Labels[-1];
1010: if ($xmax > 50) {
1011: if ($xmax % 10 != 0) {
1012: $xmax = 10 * (int($xmax/10)+1);
1013: }
1014: } else {
1015: if ($xmax % 5 != 0) {
1016: $xmax = 5 * (int($xmax/5)+1);
1017: }
1018: }
1019: #
1020: my $discdata .= '<data>'.join(',',@Labels).'</data>'.$/.
1021: '<data>'.join(',',@Disc).'</data>'.$/;
1022: #
1023: my $diffdata .= '<data>'.join(',',@Labels).'</data>'.$/.
1024: '<data>'.join(',',@Diff).'</data>'.$/;
1025: #
1026: my $title = 'Degree of Discrimination\nand Degree of Difficulty';
1027: if ($xmax > 50) {
1028: $title = 'Degree of Discrimination and Degree of Difficulty';
1029: }
1030: #
1031: $plot=<<"END";
1032: <gnuplot
1033: texfont="10"
1034: fgcolor="x000000"
1035: plottype="Cartesian"
1036: font="large"
1037: grid="on"
1038: align="center"
1039: border="on"
1040: transparent="on"
1041: alttag="Degree of Discrimination and Degree of Difficulty Plot"
1042: samples="100"
1043: bgcolor="xffffff"
1044: height="$height"
1045: width="$width">
1046: <key
1047: pos="top right"
1048: title=""
1049: box="off" />
1050: <title>$title</title>
1051: <axis xmin="0" ymin="$ymin" xmax="$xmax" ymax="$ymax" color="x000000" />
1052: <xlabel>Problem Number</xlabel>
1053: <curve
1054: linestyle="linespoints"
1055: name="DoDisc"
1056: pointtype="0"
1057: color="x000000">
1058: $discdata
1059: </curve>
1060: <curve
1061: linestyle="linespoints"
1062: name="DoDiff"
1063: pointtype="0"
1064: color="xFF0000">
1065: $diffdata
1066: </curve>
1067: </gnuplot>
1068: END
1069: my $plotresult =
1070: '<p>'.&Apache::lonxml::xmlparse($r,'web',$plot).'</p>'.$/;
1071: $r->print($plotresult);
1072: return;
1073: }
1074:
1075: sub tries_data_plot {
1076: my ($r)=@_;
1077: my $count = scalar(@StatsArray);
1078: my $width = 50 + 10*$count;
1079: $width = 300 if ($width < 300);
1080: my $height = 300;
1081: my $plot = '';
1082: my @STD; my @Mean; my @Max; my @Min;
1083: my @Labels;
1084: my $ymax = 5;
1085: foreach my $data (@StatsArray) {
1086: my $max = $data->{'mean_tries'} + $data->{'std_tries'};
1087: $ymax = $max if ($ymax < $max);
1088: $ymax = $max if ($ymax < $max);
1089: push(@Labels,$data->{'problem_num'});
1090: push(@STD,$data->{'std_tries'});
1091: push(@Mean,$data->{'mean_tries'});
1092: }
1093: #
1094: # Make sure we show relevant information.
1095: my $xmax = $Labels[-1];
1096: if ($xmax > 50) {
1097: if ($xmax % 10 != 0) {
1098: $xmax = 10 * (int($xmax/10)+1);
1099: }
1100: } else {
1101: if ($xmax % 5 != 0) {
1102: $xmax = 5 * (int($xmax/5)+1);
1103: }
1104: }
1105: $ymax = int($ymax)+1+2;
1106: #
1107: my $std_data .= '<data>'.join(',',@Labels).'</data>'.$/.
1108: '<data>'.join(',',@Mean).'</data>'.$/;
1109: #
1110: my $std_error_data .= '<data>'.join(',',@Labels).'</data>'.$/.
1111: '<data>'.join(',',@Mean).'</data>'.$/.
1112: '<data>'.join(',',@STD).'</data>'.$/;
1113: #
1114: my $title = 'Mean and S.D. of Tries';
1115: if ($xmax > 25) {
1116: $title = 'Mean and Standard Deviation of Tries';
1117: }
1118: #
1119: $plot=<<"END";
1120: <gnuplot
1121: texfont="10"
1122: fgcolor="x000000"
1123: plottype="Cartesian"
1124: font="large"
1125: grid="on"
1126: align="center"
1127: border="on"
1128: transparent="on"
1129: alttag="Mean and S.D of Tries Plot"
1130: samples="100"
1131: bgcolor="xffffff"
1132: height="$height"
1133: width="$width">
1134: <title>$title</title>
1135: <axis xmin="0" ymin="0" xmax="$xmax" ymax="$ymax" color="x000000" />
1136: <xlabel>Problem Number</xlabel>
1137: <ylabel>Number of Tries</ylabel>
1138: <curve
1139: linestyle="yerrorbars"
1140: name="S.D. Tries"
1141: pointtype="1"
1142: color="x666666">
1143: $std_error_data
1144: </curve>
1145: <curve
1146: linestyle="points"
1147: name="Mean Tries"
1148: pointtype="1"
1149: color="xCC4444">
1150: $std_data
1151: </curve>
1152: </gnuplot>
1153: END
1154: my $plotresult =
1155: '<p>'.&Apache::lonxml::xmlparse($r,'web',$plot).'</p>'.$/;
1156: $r->print($plotresult);
1157: return;
1158: }
1159:
1160: sub plot_dropdown {
1161: my $current = '';
1162: #
1163: if (defined($ENV{'form.plot'})) {
1164: $current = $ENV{'form.plot'};
1165: }
1166: #
1167: my @Additional_Plots = (
1168: { graphable=>'yes',
1169: name => 'degrees',
1170: title => 'Difficulty Indexes' },
1171: { graphable=>'yes',
1172: name => 'tries statistics',
1173: title => 'Tries Statistics' });
1174: #
1175: my $Str= "\n".'<select name="plot" size="1">';
1176: $Str .= '<option name="none"></option>'."\n";
1177: $Str .= '<option name="none2">none</option>'."\n";
1178: foreach my $field (@Additional_Plots,@Fields) {
1179: if (! exists($field->{'graphable'}) ||
1180: $field->{'graphable'} ne 'yes') {
1181: next;
1182: }
1183: $Str .= '<option value="'.$field->{'name'}.'"';
1184: if ($field->{'name'} eq $current) {
1185: $Str .= ' selected ';
1186: }
1187: $Str.= '>'.&mt($field->{'title'}).'</option>'."\n";
1188: }
1189: $Str .= '</select>'."\n";
1190: return $Str;
1191: }
1192:
1193: ###############################################
1194: ###############################################
1195: ##
1196: ## Excel output routines
1197: ##
1198: ###############################################
1199: ###############################################
1200: sub Excel_output {
1201: my ($r) = @_;
1202: $r->print('<h2>'.&mt('Preparing Excel Spreadsheet').'</h2>');
1203: ##
1204: ## Compute the statistics
1205: &compute_all_statistics($r);
1206: my $c = $r->connection;
1207: return if ($c->aborted());
1208: ##
1209: ## Create the excel workbook
1210: my $filename = '/prtspool/'.
1211: $ENV{'user.name'}.'_'.$ENV{'user.domain'}.'_'.
1212: time.'_'.rand(1000000000).'.xls';
1213: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1214: #
1215: # Create sheet
1216: my $excel_workbook = Spreadsheet::WriteExcel->new('/home/httpd'.$filename);
1217: #
1218: # Check for errors
1219: if (! defined($excel_workbook)) {
1220: $r->log_error("Error creating excel spreadsheet $filename: $!");
1221: $r->print(&mt("Problems creating new Excel file. ".
1222: "This error has been logged. ".
1223: "Please alert your LON-CAPA administrator."));
1224: return 0;
1225: }
1226: #
1227: # The excel spreadsheet stores temporary data in files, then put them
1228: # together. If needed we should be able to disable this (memory only).
1229: # The temporary directory must be specified before calling 'addworksheet'.
1230: # File::Temp is used to determine the temporary directory.
1231: $excel_workbook->set_tempdir($Apache::lonnet::tmpdir);
1232: #
1233: # Add a worksheet
1234: my $sheetname = $ENV{'course.'.$ENV{'request.course.id'}.'.description'};
1235: if (length($sheetname) > 31) {
1236: $sheetname = substr($sheetname,0,31);
1237: }
1238: my $excel_sheet = $excel_workbook->addworksheet(
1239: &Apache::loncommon::clean_excel_name($sheetname));
1240: #
1241: my $format = &Apache::loncommon::define_excel_formats($excel_workbook);
1242: ##
1243: ## Begin creating excel sheet
1244: ##
1245: my ($rows_output,$cols_output) = (0,0);
1246: #
1247: # Put the course description in the header
1248: $excel_sheet->write($rows_output,$cols_output++,
1249: $ENV{'course.'.$ENV{'request.course.id'}.'.description'},
1250: $format->{'h1'});
1251: $cols_output += 3;
1252: #
1253: # Put a description of the sections listed
1254: my $sectionstring = '';
1255: $excel_sheet->write($rows_output,$cols_output++,
1256: &Apache::lonstathelpers::sections_description
1257: (@Apache::lonstatistics::SelectedSections),
1258: $format->{'h3'});
1259: $cols_output += scalar(@Apache::lonstatistics::SelectedSections);
1260: #
1261: # Time restrictions
1262: my $time_string;
1263: if (defined($starttime)) {
1264: # call localtime but not lonlocal:locallocaltime because excel probably
1265: # cannot handle localized text. Probably.
1266: $time_string .= 'Data collected from '.localtime($time_string);
1267: if (defined($endtime)) {
1268: $time_string .= ' to '.localtime($endtime);
1269: }
1270: $time_string .= '.';
1271: } elsif (defined($endtime)) {
1272: # See note above about lonlocal:locallocaltime
1273: $time_string .= 'Data collected before '.localtime($endtime).'.';
1274: }
1275: if (defined($time_string)) {
1276: $excel_sheet->write($rows_output,$cols_output++,$time_string);
1277: $cols_output+= 5;
1278: }
1279: #
1280: # Put the date in there too
1281: $excel_sheet->write($rows_output,$cols_output++,
1282: 'Compiled on '.localtime(time));
1283: #
1284: $rows_output++;
1285: $cols_output=0;
1286: ##
1287: ## Sequence Statistics
1288: ##
1289: &write_headers($excel_sheet,$format,\$rows_output,\$cols_output,
1290: \@SeqFields);
1291: foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) {
1292: next if ($seq->{'num_assess'} < 1);
1293: my $data = $SeqStat{$seq->{'symb'}};
1294: $cols_output=0;
1295: foreach my $field (@SeqFields) {
1296: next if ($field->{'selected'} ne 'yes');
1297: my $fieldformat = undef;
1298: if (exists($field->{'excel_format'})) {
1299: $fieldformat = $format->{$field->{'excel_format'}};
1300: }
1301: $excel_sheet->write($rows_output,$cols_output++,
1302: $data->{$field->{'name'}},$fieldformat);
1303: }
1304: $rows_output++;
1305: $cols_output=0;
1306: }
1307: ##
1308: ## Resource Statistics
1309: ##
1310: $rows_output++;
1311: $cols_output=0;
1312: &write_headers($excel_sheet,$format,\$rows_output,\$cols_output,
1313: \@Fields);
1314: #
1315: foreach my $data (@StatsArray) {
1316: $cols_output=0;
1317: foreach my $field (@Fields) {
1318: next if ($field->{'selected'} ne 'yes');
1319: next if ($field->{'name'} eq 'problem_num');
1320: my $fieldformat = undef;
1321: if (exists($field->{'excel_format'})) {
1322: $fieldformat = $format->{$field->{'excel_format'}};
1323: }
1324: $excel_sheet->write($rows_output,$cols_output++,
1325: $data->{$field->{'name'}},$fieldformat);
1326: }
1327: $rows_output++;
1328: $cols_output=0;
1329: }
1330: #
1331: $excel_workbook->close();
1332: #
1333: # Tell the user where to get their excel file
1334: $r->print('<br />'.
1335: '<a href="'.$filename.'">'.
1336: &mt('Your Excel Spreadsheet').'</a>'."\n");
1337: $r->rflush();
1338: return;
1339: }
1340:
1341: ##
1342: ## &write_headers
1343: ##
1344: sub write_headers {
1345: my ($excel_sheet,$format,$rows_output,$cols_output,$Fields) = @_;
1346: ##
1347: ## First the long titles
1348: foreach my $field (@{$Fields}) {
1349: next if ($field->{'name'} eq 'problem_num');
1350: next if ($field->{'selected'} ne 'yes');
1351: if (exists($field->{'long_title'})) {
1352: $excel_sheet->write($$rows_output,${$cols_output},
1353: $field->{'long_title'},
1354: $format->{'bold'});
1355: } else {
1356: $excel_sheet->write($$rows_output,${$cols_output},'');
1357: }
1358: ${$cols_output}+= 1;
1359: }
1360: ${$cols_output} =0;
1361: ${$rows_output}+=1;
1362: ##
1363: ## Then the short titles
1364: foreach my $field (@{$Fields}) {
1365: next if ($field->{'selected'} ne 'yes');
1366: next if ($field->{'name'} eq 'problem_num');
1367: # Use english for excel as I am not sure how well excel handles
1368: # other character sets....
1369: $excel_sheet->write($$rows_output,$$cols_output,
1370: $field->{'title'},
1371: $format->{'bold'});
1372: $$cols_output+=1;
1373: }
1374: ${$cols_output} =0;
1375: ${$rows_output}+=1;
1376: return;
1377: }
1378:
1379: ##################################################
1380: ##################################################
1381: ##
1382: ## Statistics Gathering and Manipulation Routines
1383: ##
1384: ##################################################
1385: ##################################################
1386: sub compute_statistics_on_sequence {
1387: my ($seq) = @_;
1388: my @Data;
1389: foreach my $res (@{$seq->{'contents'}}) {
1390: next if ($res->{'type'} ne 'assessment');
1391: foreach my $part (@{$res->{'parts'}}) {
1392: next if ($res->{'partdata'}->{$part}->{'Survey'});
1393: #
1394: # This is where all the work happens
1395: my $data = &get_statistics($seq,$res,$part,scalar(@StatsArray)+1);
1396: push (@Data,$data);
1397: push (@StatsArray,$data);
1398: }
1399: }
1400: return @Data;
1401: }
1402:
1403: sub compute_all_statistics {
1404: my ($r) = @_;
1405: if (@StatsArray > 0) {
1406: # Assume we have already computed the statistics
1407: return;
1408: }
1409: my $c = $r->connection;
1410: foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) {
1411: last if ($c->aborted);
1412: next if ($seq->{'num_assess'} < 1);
1413: &compute_sequence_statistics($seq);
1414: &compute_statistics_on_sequence($seq);
1415: }
1416: }
1417:
1418: sub sort_data {
1419: my ($sortkey) = @_;
1420: return if (! @StatsArray);
1421: #
1422: # Sort the data
1423: my $sortby = undef;
1424: foreach my $field (@Fields) {
1425: if ($sortkey eq $field->{'name'}) {
1426: $sortby = $field->{'name'};
1427: }
1428: }
1429: if (! defined($sortby) || $sortby eq '' || $sortby eq 'problem_num') {
1430: $sortby = 'container';
1431: }
1432: if ($sortby ne 'container') {
1433: # $sortby is already defined, so we can charge ahead
1434: if ($sortby =~ /^(title|part)$/i) {
1435: # Alpha comparison
1436: @StatsArray = sort {
1437: lc($a->{$sortby}) cmp lc($b->{$sortby}) ||
1438: lc($a->{'title'}) cmp lc($b->{'title'}) ||
1439: lc($a->{'part'}) cmp lc($b->{'part'});
1440: } @StatsArray;
1441: } else {
1442: # Numerical comparison
1443: @StatsArray = sort {
1444: my $retvalue = 0;
1445: if ($b->{$sortby} eq 'nan') {
1446: if ($a->{$sortby} ne 'nan') {
1447: $retvalue = -1;
1448: } else {
1449: $retvalue = 0;
1450: }
1451: }
1452: if ($a->{$sortby} eq 'nan') {
1453: if ($b->{$sortby} ne 'nan') {
1454: $retvalue = 1;
1455: }
1456: }
1457: if ($retvalue eq '0') {
1458: $retvalue = $b->{$sortby} <=> $a->{$sortby} ||
1459: lc($a->{'title'}) <=> lc($b->{'title'}) ||
1460: lc($a->{'part'}) <=> lc($b->{'part'});
1461: }
1462: $retvalue;
1463: } @StatsArray;
1464: }
1465: }
1466: #
1467: # Renumber the data set
1468: my $count;
1469: foreach my $data (@StatsArray) {
1470: $data->{'problem_num'} = ++$count;
1471: }
1472: return;
1473: }
1474:
1475: ########################################################
1476: ########################################################
1477:
1478: =pod
1479:
1480: =item &get_statistics()
1481:
1482: Wrapper routine from the call to loncoursedata::get_problem_statistics.
1483: Calls lonstathelpers::get_time_limits() to limit the data set by time
1484: and &compute_discrimination_factor
1485:
1486: Inputs: $sequence, $resource, $part, $problem_num
1487:
1488: Returns: Hash reference with statistics data from
1489: loncoursedata::get_problem_statistics.
1490:
1491: =cut
1492:
1493: ########################################################
1494: ########################################################
1495: sub get_statistics {
1496: my ($sequence,$resource,$part,$problem_num) = @_;
1497: #
1498: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1499: my $symb = $resource->{'symb'};
1500: my $courseid = $ENV{'request.course.id'};
1501: #
1502: my $data = &Apache::loncoursedata::get_problem_statistics
1503: (\@Apache::lonstatistics::SelectedSections,
1504: $Apache::lonstatistics::enrollment_status,
1505: $symb,$part,$courseid,$starttime,$endtime);
1506: $data->{'symb'} = $symb;
1507: $data->{'part'} = $part;
1508: $data->{'problem_num'} = $problem_num;
1509: $data->{'container'} = $sequence->{'title'};
1510: $data->{'title'} = $resource->{'title'};
1511: $data->{'title.link'} = $resource->{'src'}.'?symb='.
1512: &Apache::lonnet::escape($resource->{'symb'});
1513: #
1514: if ($SelectedFields{'deg_of_disc'}) {
1515: $data->{'deg_of_disc'} =
1516: &compute_discrimination_factor($resource,$part,$sequence);
1517: }
1518: #
1519: # Store in metadata if computations were done for all students
1520: if ($data->{'num_students'} > 1) {
1521: my @Sections = @Apache::lonstatistics::SelectedSections;
1522: my $sections = '"'.join(' ',@Sections).'"';
1523: $sections =~ s/&+/_/g; # Ensure no special characters
1524: $data->{'sections'}=$sections;
1525: $data->{'course'} = $ENV{'request.course.id'};
1526: my $urlres=(&Apache::lonnet::decode_symb($resource->{'symb'}))[2];
1527: $data->{'urlres'}=$urlres;
1528: my %storestats =
1529: &LONCAPA::lonmetadata::dynamic_metadata_storage($data);
1530: my ($dom,$user) = $urlres=~/^(\w+)\/(\w+)/;
1531: &Apache::lonnet::put('nohist_resevaldata',\%storestats,$dom,$user);
1532: }
1533: #
1534: # Get the due date for research purposes (commented out most of the time)
1535: # $data->{'duedate'} =
1536: # &Apache::lonnet::EXT('resource.'.$part.'.duedate',$symb);
1537: # $data->{'opendate'} =
1538: # &Apache::lonnet::EXT('resource.'.$part.'.opendate',$symb);
1539: # $data->{'resptypes'} = join(',',@{$resource->{'partdata'}->{$part}->{'ResponseTypes'}});
1540: return $data;
1541: }
1542:
1543: ###############################################
1544: ###############################################
1545:
1546: =pod
1547:
1548: =item &compute_discrimination_factor()
1549:
1550: Inputs: $Resource, $Sequence
1551:
1552: Returns: integer between -1 and 1
1553:
1554: =cut
1555:
1556: ###############################################
1557: ###############################################
1558: sub compute_discrimination_factor {
1559: my ($resource,$part,$sequence) = @_;
1560: my @Resources;
1561: foreach my $res (@{$sequence->{'contents'}}) {
1562: next if ($res->{'symb'} eq $resource->{'symb'});
1563: push (@Resources,$res->{'symb'});
1564: }
1565: #
1566: # rank
1567: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1568: my $ranking =
1569: &Apache::loncoursedata::rank_students_by_scores_on_resources
1570: (\@Resources,
1571: \@Apache::lonstatistics::SelectedSections,
1572: $Apache::lonstatistics::enrollment_status,undef,
1573: $starttime,$endtime);
1574: #
1575: # compute their percent scores on the problems in the sequence,
1576: my $number_to_grab = int(scalar(@{$ranking})/4);
1577: my $num_students = scalar(@{$ranking});
1578: my @BottomSet = map { $_->[&Apache::loncoursedata::RNK_student()];
1579: } @{$ranking}[0..$number_to_grab];
1580: my @TopSet =
1581: map {
1582: $_->[&Apache::loncoursedata::RNK_student()];
1583: } @{$ranking}[($num_students-$number_to_grab)..($num_students-1)];
1584: my ($bottom_sum,$bottom_max) =
1585: &Apache::loncoursedata::get_sum_of_scores($resource,$part,\@BottomSet,
1586: undef,$starttime,$endtime);
1587: my ($top_sum,$top_max) =
1588: &Apache::loncoursedata::get_sum_of_scores($resource,$part,\@TopSet,
1589: undef,$starttime,$endtime);
1590: my $deg_of_disc;
1591: if ($top_max == 0 || $bottom_max==0) {
1592: $deg_of_disc = 'nan';
1593: } else {
1594: $deg_of_disc = ($top_sum/$top_max) - ($bottom_sum/$bottom_max);
1595: }
1596: #&Apache::lonnet::logthis(' '.$top_sum.'/'.$top_max.
1597: # ' - '.$bottom_sum.'/'.$bottom_max);
1598: return $deg_of_disc;
1599: }
1600:
1601: ###############################################
1602: ###############################################
1603: ##
1604: ## Compute KR-21
1605: ##
1606: ## To compute KR-21, you need the following information:
1607: ##
1608: ## K=the number of items in your test
1609: ## M=the mean score on the test
1610: ## s=the standard deviation of the scores on your test
1611: ##
1612: ## then:
1613: ##
1614: ## KR-21 rk= [K/(K-1)] * [1- (M*(K-M))/(K*s^2))]
1615: ##
1616: ###############################################
1617: ###############################################
1618: sub compute_sequence_statistics {
1619: my ($seq) = @_;
1620: my $symb = $seq->{'symb'};
1621: my @Resources;
1622: foreach my $res (@{$seq->{'contents'}}) {
1623: next if ($res->{'type'} ne 'assessment');
1624: push (@Resources,$res->{'symb'});
1625: }
1626: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1627: #
1628: # First compute statistics based on student scores
1629: my ($smin,$smax,$sMean,$sSTD,$scount,$sMAX) =
1630: &Apache::loncoursedata::score_stats
1631: (\@Apache::lonstatistics::SelectedSections,
1632: $Apache::lonstatistics::enrollment_status,
1633: \@Resources,$starttime,$endtime,undef);
1634: $SeqStat{$symb}->{'title'} = $seq->{'title'};
1635: $SeqStat{$symb}->{'scoremax'} = $smax;
1636: $SeqStat{$symb}->{'scoremin'} = $smin;
1637: $SeqStat{$symb}->{'scoremean'} = $sMean;
1638: $SeqStat{$symb}->{'scorestd'} = $sSTD;
1639: $SeqStat{$symb}->{'scorecount'} = $scount;
1640: $SeqStat{$symb}->{'max_possible'} = $sMAX;
1641: #
1642: # Compute statistics based on the number of correct problems
1643: # 'correct' is taken to mean
1644: my ($cmin,$cmax,$cMean,$cSTD,$ccount)=
1645: &Apache::loncoursedata::count_stats
1646: (\@Apache::lonstatistics::SelectedSections,
1647: $Apache::lonstatistics::enrollment_status,
1648: \@Resources,$starttime,$endtime,undef);
1649: my $K = $seq->{'num_assess_parts'};
1650: my $kr_21;
1651: if ($K > 1 && $cSTD > 0) {
1652: $kr_21 = ($K/($K-1)) * (1 - $cMean*($K-$cMean)/($K*$cSTD**2));
1653: } else {
1654: $kr_21 = 'nan';
1655: }
1656: $SeqStat{$symb}->{'countmax'} = $cmax;
1657: $SeqStat{$symb}->{'countmin'} = $cmin;
1658: $SeqStat{$symb}->{'countstd'} = $cSTD;
1659: $SeqStat{$symb}->{'countmean'} = $cMean;
1660: $SeqStat{$symb}->{'count'} = $ccount;
1661: $SeqStat{$symb}->{'items'} = $K;
1662: $SeqStat{$symb}->{'KR-21'}=$kr_21;
1663: return;
1664: }
1665:
1666:
1667:
1668: =pod
1669:
1670: =item ProblemStatisticsLegend
1671:
1672: =over 4
1673:
1674: =item #Stdnts
1675: Total number of students attempted the problem.
1676:
1677: =item Tries
1678: Total number of tries for solving the problem.
1679:
1680: =item Max Tries
1681: Largest number of tries for solving the problem by a student.
1682:
1683: =item Mean
1684: Average number of tries. [ Tries / #Stdnts ]
1685:
1686: =item #YES
1687: Number of students solved the problem correctly.
1688:
1689: =item #yes
1690: Number of students solved the problem by override.
1691:
1692: =item %Wrong
1693: Percentage of students who tried to solve the problem
1694: but is still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ]
1695:
1696: =item DoDiff
1697: Degree of Difficulty of the problem.
1698: [ 1 - ((#YES+#yes) / Tries) ]
1699:
1700: =item S.D.
1701: Standard Deviation of the tries.
1702: [ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1)
1703: where Xi denotes every student\'s tries ]
1704:
1705: =item Skew.
1706: Skewness of the students tries.
1707: [(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)]
1708:
1709: =item Dis.F.
1710: Discrimination Factor: A Standard for evaluating the
1711: problem according to a Criterion<br>
1712:
1713: =item [Criterion to group students into %27 Upper Students -
1714: and %27 Lower Students]
1715: 1st Criterion for Sorting the Students:
1716: Sum of Partial Credit Awarded / Total Number of Tries
1717: 2nd Criterion for Sorting the Students:
1718: Total number of Correct Answers / Total Number of Tries
1719:
1720: =item Disc.
1721: Number of Students had at least one discussion.
1722:
1723: =back
1724:
1725: =cut
1726:
1727: ############################################################
1728: ############################################################
1729:
1730: 1;
1731: __END__
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