1: # The LearningOnline Network with CAPA
2: #
3: # $Id: lonproblemstatistics.pm,v 1.104 2005/04/07 06:56:24 albertel 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 => 'tries_per_correct',
235: title => 'tries/correct',
236: align => 'right',
237: color => '#FFDDDD',
238: format => '%4.1f',
239: sortable => 'yes',
240: graphable => 'yes',
241: long_title => 'Tries per Correct Answer',
242: selectable => 'yes',
243: defaultselected => 'yes',
244: },
245: { name => 'num_wrong',
246: title => '#Wrng',
247: align => 'right',
248: color => '#FFDDDD',
249: format => '%4.1f',
250: sortable => 'yes',
251: graphable => 'yes',
252: long_title => 'Number of students whose final answer is wrong',
253: selectable => 'yes',
254: defaultselected => 'yes',
255: },
256: { name => 'per_wrong',
257: title => '%Wrng',
258: align => 'right',
259: color => '#FFDDDD',
260: format => '%4.1f',
261: sortable => 'yes',
262: graphable => 'yes',
263: long_title => 'Percent of students whose final answer is wrong',
264: selectable => 'yes',
265: defaultselected => 'yes',
266: },
267: { name => 'deg_of_diff',
268: title => 'DoDiff',
269: align => 'right',
270: color => '#FFFFE6',
271: format => '%5.2f',
272: sortable => 'yes',
273: graphable => 'yes',
274: long_title => 'Degree of Difficulty'.
275: '[ 1 - ((#YES+#yes) / Tries) ]',
276: selectable => 'yes',
277: defaultselected => 'yes',
278: },
279: { name => 'deg_of_disc',
280: title => 'DoDisc',
281: align => 'right',
282: color => '#FFFFE6',
283: format => '%4.2f',
284: sortable => 'yes',
285: graphable => 'yes',
286: long_title => 'Degree of Discrimination',
287: selectable => 'yes',
288: defaultselected => 'yes',
289: },
290: ## duedate included for research purposes. Commented out most of the time.
291: # { name => 'duedate',
292: # title => 'Due Date',
293: # align => 'left',
294: # color => '#FFFFFF',
295: # sortable => 'yes',
296: # graphable => 'no',
297: # long_title => 'Due date of resource for instructor',
298: # selectable => 'no',
299: # defaultselected => 'yes',
300: # },
301: ## opendate included for research purposes. Commented out most of the time.
302: # { name => 'opendate',
303: # title => 'Open Date',
304: # align => 'left',
305: # color => '#FFFFFF',
306: # sortable => 'yes',
307: # graphable => 'no',
308: # long_title => 'date resource became answerable',
309: # selectable => 'no',
310: # defaultselected => 'yes',
311: # },
312: ## symb included for research purposes. Commented out most of the time.
313: # { name => 'symb',
314: # title => 'Symb',
315: # align => 'left',
316: # color => '#FFFFFF',
317: # sortable => 'yes',
318: # graphable => 'no',
319: # long_title => 'Unique LON-CAPA identifier for problem',
320: # selectable => 'no',
321: # defaultselected => 'yes',
322: # },
323: ## resptypes included for research purposes. Commented out most of the time.
324: # { name => 'resptypes',
325: # title => 'Response Types',
326: # align => 'left',
327: # color => '#FFFFFF',
328: # sortable => 'no',
329: # graphable => 'no',
330: # long_title => 'Response Types used in this problem',
331: # selectable => 'no',
332: # defaultselected => 'yes',
333: # },
334: ## maxtries included for research purposes. Commented out most of the time.
335: # { name => 'maxtries',
336: # title => 'Maxtries',
337: # align => 'left',
338: # color => '#FFFFFF',
339: # sortable => 'no',
340: # graphable => 'no',
341: # long_title => 'Maximum number of tries',
342: # selectable => 'no',
343: # defaultselected => 'yes',
344: # },
345: ## hinttries included for research purposes. Commented out most of the time.
346: # { name => 'hinttries',
347: # title => 'hinttries',
348: # align => 'left',
349: # color => '#FFFFFF',
350: # sortable => 'no',
351: # graphable => 'no',
352: # long_title => 'Number of tries before a hint appears',
353: # selectable => 'no',
354: # defaultselected => 'yes',
355: # },
356: #
357: ## problem weight for instructor
358: { name => 'weight',
359: title => 'weight',
360: align => 'right',
361: color => '#FFFFFF',
362: sortable => 'no',
363: graphable => 'no',
364: long_title => 'Problem weight (for instructor)',
365: selectable => 'yes',
366: defaultselected => 'yes',
367: },
368: );
369:
370: my @SeqFields = (
371: { name => 'title',
372: title => 'Sequence',
373: align => 'left',
374: color => '#FFFFE6',
375: special => 'no',
376: sortable => 'no',
377: selectable => 'yes',
378: defaultselected => 'no',
379: },
380: { name => 'items',
381: title => '#Items',
382: align => 'right',
383: color => '#FFFFE6',
384: format => '%4d',
385: sortable => 'no',
386: graphable => 'no',
387: long_title => 'Number of Items in Sequence',
388: selectable => 'yes',
389: defaultselected => 'no',
390: },
391: { name => 'scoremean',
392: title => 'Score Mean',
393: align => 'right',
394: color => '#FFFFE6',
395: format => '%4.2f',
396: sortable => 'no',
397: graphable => 'no',
398: long_title => 'Mean Sequence Score',
399: selectable => 'yes',
400: defaultselected => 'no',
401: },
402: { name => 'scorestd',
403: title => 'Score STD',
404: align => 'right',
405: color => '#FFFFE6',
406: format => '%4.2f',
407: sortable => 'no',
408: graphable => 'no',
409: long_title => 'Standard Deviation of Sequence Scores',
410: selectable => 'yes',
411: defaultselected => 'no',
412: },
413: { name => 'scoremax',
414: title => 'Score Max',
415: align => 'right',
416: color => '#FFFFE6',
417: format => '%4.2f',
418: sortable => 'no',
419: graphable => 'no',
420: long_title => 'Maximum Sequence Score',
421: selectable => 'yes',
422: defaultselected => 'no',
423: },
424: { name => 'scoremin',
425: title => 'Score Min',
426: align => 'right',
427: color => '#FFFFE6',
428: format => '%4.2f',
429: sortable => 'no',
430: graphable => 'no',
431: long_title => 'Minumum Sequence Score',
432: selectable => 'yes',
433: defaultselected => 'no',
434: },
435: { name => 'scorecount',
436: title => 'Score N',
437: align => 'right',
438: color => '#FFFFE6',
439: format => '%4d',
440: sortable => 'no',
441: graphable => 'no',
442: long_title => 'Number of Students in score computations',
443: selectable => 'yes',
444: defaultselected => 'no',
445: },
446: { name => 'countmean',
447: title => 'Count Mean',
448: align => 'right',
449: color => '#FFFFFF',
450: format => '%4.2f',
451: sortable => 'no',
452: graphable => 'no',
453: long_title => 'Mean Sequence Score',
454: selectable => 'yes',
455: defaultselected => 'no',
456: },
457: { name => 'countstd',
458: title => 'Count STD',
459: align => 'right',
460: color => '#FFFFFF',
461: format => '%4.2f',
462: sortable => 'no',
463: graphable => 'no',
464: long_title => 'Standard Deviation of Sequence Scores',
465: selectable => 'yes',
466: defaultselected => 'no',
467: },
468: { name => 'countmax',
469: title => 'Count Max',
470: align => 'right',
471: color => '#FFFFFF',
472: format => '%4.2f',
473: sortable => 'no',
474: graphable => 'no',
475: long_title => 'Maximum Number of Correct Problems',
476: selectable => 'yes',
477: defaultselected => 'no',
478: },
479: { name => 'countmin',
480: title => 'Count Min',
481: align => 'right',
482: color => '#FFFFFF',
483: format => '%4.2f',
484: sortable => 'no',
485: graphable => 'no',
486: long_title => 'Minumum Number of Correct Problems',
487: selectable => 'yes',
488: defaultselected => 'no',
489: },
490: { name => 'count',
491: title => 'Count N',
492: align => 'right',
493: color => '#FFFFFF',
494: format => '%4d',
495: sortable => 'no',
496: graphable => 'no',
497: long_title => 'Number of Students in score computations',
498: selectable => 'yes',
499: defaultselected => 'no',
500: },
501: { name => 'KR-21',
502: title => 'KR-21',
503: align => 'right',
504: color => '#FFAAAA',
505: format => '%4.2f',
506: sortable => 'no',
507: graphable => 'no',
508: long_title => 'KR-21 reliability statistic',
509: selectable => 'yes',
510: defaultselected => 'no',
511: },
512: );
513:
514: my %SelectedFields;
515:
516: sub parse_field_selection {
517: #
518: # Pull out the defaults
519: if (! defined($env{'form.fieldselections'})) {
520: $env{'form.fieldselections'} = [];
521: foreach my $field (@Fields) {
522: next if ($field->{'selectable'} ne 'yes');
523: if ($field->{'defaultselected'} eq 'yes') {
524: push(@{$env{'form.fieldselections'}},$field->{'name'});
525: }
526: }
527: }
528: #
529: # Make sure the data we are plotting is there
530: my %NeededFields;
531: if (exists($env{'form.plot'}) && $env{'form.plot'} ne '' &&
532: $env{'form.plot'} ne 'none') {
533: if ($env{'form.plot'} eq 'degrees') {
534: $NeededFields{'deg_of_diff'}++;
535: $NeededFields{'deg_of_disc'}++;
536: } elsif ($env{'form.plot'} eq 'tries statistics') {
537: $NeededFields{'mean_tries'}++;
538: $NeededFields{'std_tries'}++;
539: $NeededFields{'problem_num'}++;
540: } else {
541: $NeededFields{$env{'form.plot'}}++;
542: }
543: }
544: #
545: # This should not happen, but in case it does...
546: if (ref($env{'form.fieldselections'}) ne 'ARRAY') {
547: $env{'form.fieldselections'} = [$env{'form.fieldselections'}];
548: }
549: #
550: # Set the field data and the selected fields (for easier checking)
551: undef(%SelectedFields);
552: foreach my $field (@Fields) {
553: if ($field->{'selectable'} ne 'yes') {
554: $field->{'selected'} = 'yes';
555: } else {
556: $field->{'selected'} = 'no';
557: }
558: if (exists($NeededFields{$field->{'name'}})) {
559: $field->{'selected'} = 'yes';
560: $SelectedFields{$field->{'name'}}++;
561: }
562: foreach my $selection (@{$env{'form.fieldselections'}}) {
563: if ($selection eq $field->{'name'} || $selection eq 'all') {
564: $field->{'selected'} = 'yes';
565: $SelectedFields{$field->{'name'}}++;
566: }
567: }
568: }
569: #
570: # Always show all the sequence statistics (for now)
571: foreach my $field (@SeqFields) {
572: $field->{'selected'} = 'yes';
573: }
574: return;
575: }
576:
577: sub field_selection_input {
578: my $Str = '<select name="fieldselections" multiple size="5">'."\n";
579: $Str .= '<option value="all">all</option>'."\n";
580: foreach my $field (@Fields) {
581: next if ($field->{'selectable'} ne 'yes');
582: $Str .= ' <option value="'.$field->{'name'}.'" ';
583: if ($field->{'selected'} eq 'yes') {
584: $Str .= 'selected ';
585: }
586: $Str .= '>'.$field->{'title'}.'</option>'."\n";
587: }
588: $Str .= "</select>\n";
589: }
590:
591: ###############################################
592: ###############################################
593:
594: =pod
595:
596: =item &CreateInterface()
597:
598: Create the main intereface for the statistics page. Allows the user to
599: select sections, maps, and output.
600:
601: =cut
602:
603: ###############################################
604: ###############################################
605: sub CreateInterface {
606: my ($r) = @_;
607: #
608: &parse_field_selection();
609: #
610: my $Str = '';
611: $Str .= &Apache::lonhtmlcommon::breadcrumbs
612: (undef,'Overall Problem Statistics','Statistics_Overall_Key');
613: $Str .= '<table cellspacing="5">'."\n";
614: $Str .= '<tr>';
615: $Str .= '<td align="center"><b>'.&mt('Sections').'</b></td>';
616: $Str .= '<td align="center"><b>'.&mt('Enrollment Status').'</b></td>';
617: $Str .= '<td align="center"><b>'.&mt('Sequences and Folders').'</b></td>';
618: $Str .= '<td align="center"><b>'.&mt('Statistics').'</b></td>';
619: $Str .= '<td rowspan="2">'.
620: &Apache::lonstathelpers::limit_by_time_form().'</td>';
621: $Str .= '</tr>'."\n";
622: #
623: $Str .= '<tr><td align="center">'."\n";
624: $Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5);
625: $Str .= '</td><td align="center">';
626: $Str .= &Apache::lonhtmlcommon::StatusOptions(undef,undef,5);
627: $Str .= '</td><td align="center">';
628: #
629: $Str .= &Apache::lonstatistics::map_select('Maps','multiple,all',5);
630: $Str .= '</td><td>'.&field_selection_input();
631: $Str .= '</td></tr>'."\n";
632: $Str .= '</table>'."\n";
633: #
634: $Str .= '<p>'.&mt('Status: [_1]',
635: '<input type="text" '.
636: 'name="stats_status" size="60" value="" />'
637: ).
638: '</nobr></p>';
639: #
640: $Str .= '<input type="submit" name="GenerateStatistics" value="'.
641: &mt('Generate Statistics').'" />';
642: $Str .= ' 'x5;
643: $Str .= 'Plot '.&plot_dropdown().(' 'x10);
644: #
645: return $Str;
646: }
647:
648: ###############################################
649: ###############################################
650:
651: =pod
652:
653: =item &BuildProblemStatisticsPage()
654:
655: Main interface to problem statistics.
656:
657: =cut
658:
659: ###############################################
660: ###############################################
661: my $navmap;
662: my @sequences;
663:
664: sub BuildProblemStatisticsPage {
665: my ($r,$c)=@_;
666: undef($navmap);
667: undef(@sequences);
668: #
669: my %Saveable_Parameters = ('Status' => 'scalar',
670: 'statsoutputmode' => 'scalar',
671: 'Section' => 'array',
672: 'StudentData' => 'array',
673: 'Maps' => 'array',
674: 'fieldselections'=> 'array');
675: &Apache::loncommon::store_course_settings('statistics',
676: \%Saveable_Parameters);
677: &Apache::loncommon::restore_course_settings('statistics',
678: \%Saveable_Parameters);
679: #
680: &Apache::lonstatistics::PrepareClasslist();
681: #
682: # Clear the package variables
683: undef(@StatsArray);
684: undef(%SeqStat);
685: #
686: # Finally let the user know we are here
687: my $interface = &CreateInterface($r);
688: $r->print($interface);
689: $r->print('<input type="hidden" name="sortby" value="'.$env{'form.sortby'}.
690: '" />');
691: #
692: my @CacheButtonHTML =
693: &Apache::lonstathelpers::manage_caches($r,'Statistics','stats_status');
694: my $Str;
695: foreach my $html (@CacheButtonHTML) {
696: $Str.=$html.(' 'x5);
697: }
698: #
699: $r->print($Str);
700: if (! exists($env{'form.firstrun'})) {
701: $r->print('<h3>'.
702: &mt('Press "Generate Statistics" when you are ready.').
703: '</h3><p>'.
704: &mt('It may take some time to update the student data '.
705: 'for the first analysis. Future analysis this session '.
706: ' will not have this delay.').
707: '</p>');
708: return;
709: }
710: $r->rflush();
711: #
712: # This probably does not need to be done each time we are called, but
713: # it does not slow things down noticably.
714: &Apache::loncoursedata::populate_weight_table();
715: #
716: ($navmap,@sequences) =
717: &Apache::lonstatistics::selected_sequences_with_assessments();
718: if (! ref($navmap)) {
719: $r->print('<h1>'.&mt('A course-wide error occured.').'</h1>'.
720: '<h3>'.$navmap.'</h3>');
721: return;
722: }
723: if (exists($env{'form.Excel'})) {
724: $r->print('<h4>'.
725: &Apache::lonstatistics::section_and_enrollment_description().
726: '</h4>');
727: &Excel_output($r);
728: } else {
729: $r->print('<input type="submit" name="Excel" value="'.
730: &mt('Produce Excel Output').'" />'.' 'x5);
731: $r->rflush();
732: $r->print('<h4>'.
733: &Apache::lonstatistics::section_and_enrollment_description().
734: '</h4>');
735: my $count = 0;
736: foreach my $seq (@sequences) {
737: my @resources =
738: &Apache::lonstathelpers::get_resources($navmap,$seq);
739: $count += scalar(@resources);
740: }
741: if ($count > 10) {
742: $r->print('<h2>'.
743: &mt('Compiling statistics for [_1] problems',$count).
744: '</h2>');
745: if ($count > 30) {
746: $r->print('<h3>'.&mt('This will take some time.').'</h3>');
747: }
748: $r->rflush();
749: }
750: #
751: my $sortby = $env{'form.sortby'};
752: $sortby = 'container' if (! defined($sortby) || $sortby =~ /^\s*$/);
753: my $plot = $env{'form.plot'};
754: if ($plot eq '' || $plot eq 'none') {
755: undef($plot);
756: }
757: if ($sortby eq 'container' && ! defined($plot)) {
758: &output_sequence_statistics($r);
759: &output_html_by_sequence($r);
760: } else {
761: if (defined($plot)) {
762: &make_plot($r,$plot);
763: }
764: &output_html_stats($r);
765: &output_sequence_statistics($r);
766: }
767: }
768: return;
769: }
770:
771: sub output_sequence_statistics {
772: my ($r) = @_;
773: my $c=$r->connection();
774: $r->print('<h2>'.&mt('Sequence Statistics').
775: &Apache::loncommon::help_open_topic('Statistics_Sequence').
776: '</h2>');
777: $r->print('<table border="0"><tr><td bgcolor="#777777">'."\n".
778: '<table border="0" cellpadding="3">'."\n".
779: '<tr bgcolor="#FFFFE6">');
780: $r->print(&sequence_html_header());
781: foreach my $seq (@sequences) {
782: last if ($c->aborted);
783: &compute_sequence_statistics($seq);
784: $r->print(&sequence_html_output($seq));
785: }
786: $r->print('</table>');
787: $r->print('</table>');
788: $r->rflush();
789: return;
790: }
791:
792:
793: ##########################################################
794: ##########################################################
795: ##
796: ## HTML output routines
797: ##
798: ##########################################################
799: ##########################################################
800: sub output_html_by_sequence {
801: my ($r) = @_;
802: my $c = $r->connection();
803: $r->print(&html_preamble());
804: #
805: foreach my $seq (@sequences) {
806: last if ($c->aborted);
807: $r->print("<h3>".$seq->compTitle."</h3>".
808: '<table border="0"><tr><td bgcolor="#777777">'."\n".
809: '<table border="0" cellpadding="3">'."\n".
810: '<tr bgcolor="#FFFFE6">'.
811: &statistics_table_header('no container')."</tr>\n");
812: my @Data = &compute_statistics_on_sequence($seq);
813: foreach my $data (@Data) {
814: $r->print('<tr>'.&statistics_html_table_data($data,
815: 'no container').
816: "</tr>\n");
817: }
818: $r->print('</table>'."\n".'</table>'."\n");
819: $r->rflush();
820: }
821: return;
822: }
823:
824: sub output_html_stats {
825: my ($r)=@_;
826: &compute_all_statistics($r);
827: $r->print(&html_preamble());
828: &sort_data($env{'form.sortby'});
829: #
830: my $count=0;
831: foreach my $data (@StatsArray) {
832: if ($count++ % 50 == 0) {
833: $r->print("</table>\n</table>\n");
834: $r->print('<table border="0"><tr><td bgcolor="#777777">'."\n".
835: '<table border="0" cellpadding="3">'."\n".
836: '<tr bgcolor="#FFFFE6">'.
837: '<tr bgcolor="#FFFFE6">'.
838: &statistics_table_header().
839: "</tr>\n");
840: }
841: $r->print('<tr>'.&statistics_html_table_data($data)."</tr>\n");
842: }
843: $r->print("</table>\n</table>\n");
844: return;
845: }
846:
847: sub html_preamble {
848: my $Str='';
849: $Str .= "<h2>".
850: $env{'course.'.$env{'request.course.id'}.'.description'}.
851: "</h2>\n";
852: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
853: if (defined($starttime) || defined($endtime)) {
854: # Inform the user what the time limits on the data are.
855: $Str .= '<h3>'.&mt('Statistics on submissions from [_1] to [_2]',
856: &Apache::lonlocal::locallocaltime($starttime),
857: &Apache::lonlocal::locallocaltime($endtime)
858: ).'</h3>';
859: }
860: $Str .= "<h3>".&mt('Compiled on [_1]',
861: &Apache::lonlocal::locallocaltime(time))."</h3>";
862: return $Str;
863: }
864:
865:
866: ###############################################
867: ###############################################
868: ##
869: ## Misc HTML output routines
870: ##
871: ###############################################
872: ###############################################
873: sub statistics_html_table_data {
874: my ($data,$options) = @_;
875: my $row = '';
876: foreach my $field (@Fields) {
877: next if ($options =~ /no $field->{'name'}/);
878: next if ($field->{'selected'} ne 'yes');
879: $row .= '<td bgcolor="'.$field->{'color'}.'"';
880: if (exists($field->{'align'})) {
881: $row .= ' align="'.$field->{'align'}.'"';
882: }
883: $row .= '>';
884: if (exists($field->{'special'}) && $field->{'special'} eq 'link') {
885: $row .= '<a href="'.$data->{$field->{'name'}.'.link'}.'">';
886: }
887: if (exists($field->{'format'}) && $data->{$field->{'name'}} !~ /[A-Z]/i) {
888: $row .= sprintf($field->{'format'},$data->{$field->{'name'}});
889: } else {
890: $row .= $data->{$field->{'name'}};
891: }
892: if (exists($field->{'special'}) && $field->{'special'} eq 'link') {
893: $row.= '</a>';
894: }
895: $row .= '</td>';
896: }
897: return $row;
898: }
899:
900: sub statistics_table_header {
901: my ($options) = @_;
902: my $header_row;
903: foreach my $field (@Fields) {
904: next if ($options =~ /no $field->{'name'}/);
905: next if ($field->{'selected'} ne 'yes');
906: $header_row .= '<th>';
907: if (exists($field->{'sortable'}) && $field->{'sortable'} eq 'yes') {
908: $header_row .= '<a href="javascript:'.
909: 'document.Statistics.sortby.value='."'".$field->{'name'}."'".
910: ';document.Statistics.submit();">';
911: }
912: $header_row .= &mt($field->{'title'});
913: if ($options =~ /sortable/) {
914: $header_row.= '</a>';
915: }
916: if ($options !~ /no plots/ &&
917: exists($field->{'graphable'}) &&
918: $field->{'graphable'} eq 'yes') {
919: $header_row.=' (';
920: $header_row .= '<a href="javascript:'.
921: "document.Statistics.plot.value='$field->{'name'}'".
922: ';document.Statistics.submit();">';
923: $header_row .= &mt('plot').'</a>)';
924: }
925: $header_row .= '</th>';
926: }
927: return $header_row;
928: }
929:
930: sub sequence_html_header {
931: my $Str .= '<tr>';
932: foreach my $field (@SeqFields) {
933: # next if ($field->{'selected'} ne 'yes');
934: $Str .= '<th bgcolor="'.$field->{'color'}.'"';
935: $Str .= '>'.$field->{'title'}.'</th>';
936: }
937: $Str .= '</tr>';
938: return $Str;
939: }
940:
941:
942: sub sequence_html_output {
943: my ($seq) = @_;
944: my $data = $SeqStat{$seq->symb};
945: my $row = '<tr>';
946: foreach my $field (@SeqFields) {
947: next if ($field->{'selected'} ne 'yes');
948: $row .= '<td bgcolor="'.$field->{'color'}.'"';
949: if (exists($field->{'align'})) {
950: $row .= ' align="'.$field->{'align'}.'"';
951: }
952: $row .= '>';
953: if (exists($field->{'format'})) {
954: $row .= sprintf($field->{'format'},$data->{$field->{'name'}});
955: } else {
956: $row .= $data->{$field->{'name'}};
957: }
958: $row .= '</td>';
959: }
960: $row .= '</tr>'."\n";
961: return $row;
962: }
963:
964: ####################################################
965: ####################################################
966: ##
967: ## Plotting Routines
968: ##
969: ####################################################
970: ####################################################
971: sub make_plot {
972: my ($r,$plot) = @_;
973: &compute_all_statistics($r);
974: &sort_data($env{'form.sortby'});
975: if ($plot eq 'degrees') {
976: °rees_plot($r);
977: } elsif ($plot eq 'tries statistics') {
978: &tries_data_plot($r);
979: } else {
980: &make_single_stat_plot($r,$plot);
981: }
982: return;
983: }
984:
985: sub make_single_stat_plot {
986: my ($r,$datafield) = @_;
987: #
988: my $title; my $yaxis;
989: foreach my $field (@Fields) {
990: next if ($field->{'name'} ne $datafield);
991: $title = $field->{'long_title'};
992: $yaxis = $field->{'title'};
993: last;
994: }
995: if ($title eq '' || $yaxis eq '') {
996: # datafield is something we do not know enough about to plot
997: $r->print('<h3>'.
998: &mt('Unable to plot the requested statistic.').
999: '</h3>');
1000: return;
1001: }
1002: #
1003: # Build up the data sets to plot
1004: my @Labels;
1005: my @Data;
1006: my $max = 1;
1007: foreach my $data (@StatsArray) {
1008: push(@Labels,$data->{'problem_num'});
1009: push(@Data,$data->{$datafield});
1010: if ($data->{$datafield}>$max) {
1011: $max = $data->{$datafield};
1012: }
1013: }
1014: foreach (1,2,3,4,5,10,15,20,25,40,50,75,100,150,200,250,300,500,600,750,
1015: 1000,1500,2000,2500,3000,3500,4000,5000,7500,10000,15000,20000) {
1016: if ($max <= $_) {
1017: $max = $_;
1018: last;
1019: }
1020: }
1021: if ($max > 20000) {
1022: $max = 10000*(int($max/10000)+1);
1023: }
1024: #
1025: $r->print("<p>".&Apache::loncommon::DrawBarGraph($title,
1026: 'Problem Number',
1027: $yaxis,
1028: $max,
1029: undef, # colors
1030: \@Labels,
1031: \@Data)."</p>\n");
1032: return;
1033: }
1034:
1035: sub degrees_plot {
1036: my ($r)=@_;
1037: my $count = scalar(@StatsArray);
1038: my $width = 50 + 10*$count;
1039: $width = 300 if ($width < 300);
1040: my $height = 300;
1041: my $plot = '';
1042: my $ymax = 0;
1043: my $ymin = 0;
1044: my @Disc; my @Diff; my @Labels;
1045: foreach my $data (@StatsArray) {
1046: push(@Labels,$data->{'problem_num'});
1047: my $disc = $data->{'deg_of_disc'};
1048: my $diff = $data->{'deg_of_diff'};
1049: push(@Disc,$disc);
1050: push(@Diff,$diff);
1051: #
1052: $ymin = $disc if ($ymin > $disc);
1053: $ymin = $diff if ($ymin > $diff);
1054: $ymax = $disc if ($ymax < $disc);
1055: $ymax = $diff if ($ymax < $diff);
1056: }
1057: #
1058: # Make sure we show relevant information.
1059: if ($ymin < 0) {
1060: if (abs($ymin) < 0.05) {
1061: $ymin = 0;
1062: } else {
1063: $ymin = -1;
1064: }
1065: }
1066: if ($ymax > 0) {
1067: if (abs($ymax) < 0.05) {
1068: $ymax = 0;
1069: } else {
1070: $ymax = 1;
1071: }
1072: }
1073: #
1074: my $xmax = $Labels[-1];
1075: if ($xmax > 50) {
1076: if ($xmax % 10 != 0) {
1077: $xmax = 10 * (int($xmax/10)+1);
1078: }
1079: } else {
1080: if ($xmax % 5 != 0) {
1081: $xmax = 5 * (int($xmax/5)+1);
1082: }
1083: }
1084: #
1085: my $discdata .= '<data>'.join(',',@Labels).'</data>'.$/.
1086: '<data>'.join(',',@Disc).'</data>'.$/;
1087: #
1088: my $diffdata .= '<data>'.join(',',@Labels).'</data>'.$/.
1089: '<data>'.join(',',@Diff).'</data>'.$/;
1090: #
1091: my $title = 'Degree of Discrimination\nand Degree of Difficulty';
1092: if ($xmax > 50) {
1093: $title = 'Degree of Discrimination and Degree of Difficulty';
1094: }
1095: #
1096: $plot=<<"END";
1097: <gnuplot
1098: texfont="10"
1099: fgcolor="x000000"
1100: plottype="Cartesian"
1101: font="large"
1102: grid="on"
1103: align="center"
1104: border="on"
1105: transparent="on"
1106: alttag="Degree of Discrimination and Degree of Difficulty Plot"
1107: samples="100"
1108: bgcolor="xffffff"
1109: height="$height"
1110: width="$width">
1111: <key
1112: pos="top right"
1113: title=""
1114: box="off" />
1115: <title>$title</title>
1116: <axis xmin="0" ymin="$ymin" xmax="$xmax" ymax="$ymax" color="x000000" />
1117: <xlabel>Problem Number</xlabel>
1118: <curve
1119: linestyle="linespoints"
1120: name="DoDisc"
1121: pointtype="0"
1122: color="x000000">
1123: $discdata
1124: </curve>
1125: <curve
1126: linestyle="linespoints"
1127: name="DoDiff"
1128: pointtype="0"
1129: color="xFF0000">
1130: $diffdata
1131: </curve>
1132: </gnuplot>
1133: END
1134: my $plotresult =
1135: '<p>'.&Apache::lonxml::xmlparse($r,'web',$plot).'</p>'.$/;
1136: $r->print($plotresult);
1137: return;
1138: }
1139:
1140: sub tries_data_plot {
1141: my ($r)=@_;
1142: my $count = scalar(@StatsArray);
1143: my $width = 50 + 10*$count;
1144: $width = 300 if ($width < 300);
1145: my $height = 300;
1146: my $plot = '';
1147: my @STD; my @Mean; my @Max; my @Min;
1148: my @Labels;
1149: my $ymax = 5;
1150: foreach my $data (@StatsArray) {
1151: my $max = $data->{'mean_tries'} + $data->{'std_tries'};
1152: $ymax = $max if ($ymax < $max);
1153: $ymax = $max if ($ymax < $max);
1154: push(@Labels,$data->{'problem_num'});
1155: push(@STD,$data->{'std_tries'});
1156: push(@Mean,$data->{'mean_tries'});
1157: }
1158: #
1159: # Make sure we show relevant information.
1160: my $xmax = $Labels[-1];
1161: if ($xmax > 50) {
1162: if ($xmax % 10 != 0) {
1163: $xmax = 10 * (int($xmax/10)+1);
1164: }
1165: } else {
1166: if ($xmax % 5 != 0) {
1167: $xmax = 5 * (int($xmax/5)+1);
1168: }
1169: }
1170: $ymax = int($ymax)+1+2;
1171: #
1172: my $std_data .= '<data>'.join(',',@Labels).'</data>'.$/.
1173: '<data>'.join(',',@Mean).'</data>'.$/;
1174: #
1175: my $std_error_data .= '<data>'.join(',',@Labels).'</data>'.$/.
1176: '<data>'.join(',',@Mean).'</data>'.$/.
1177: '<data>'.join(',',@STD).'</data>'.$/;
1178: #
1179: my $title = 'Mean and S.D. of Tries';
1180: if ($xmax > 25) {
1181: $title = 'Mean and Standard Deviation of Tries';
1182: }
1183: #
1184: $plot=<<"END";
1185: <gnuplot
1186: texfont="10"
1187: fgcolor="x000000"
1188: plottype="Cartesian"
1189: font="large"
1190: grid="on"
1191: align="center"
1192: border="on"
1193: transparent="on"
1194: alttag="Mean and S.D of Tries Plot"
1195: samples="100"
1196: bgcolor="xffffff"
1197: height="$height"
1198: width="$width">
1199: <title>$title</title>
1200: <axis xmin="0" ymin="0" xmax="$xmax" ymax="$ymax" color="x000000" />
1201: <xlabel>Problem Number</xlabel>
1202: <ylabel>Number of Tries</ylabel>
1203: <curve
1204: linestyle="yerrorbars"
1205: name="S.D. Tries"
1206: pointtype="1"
1207: color="x666666">
1208: $std_error_data
1209: </curve>
1210: <curve
1211: linestyle="points"
1212: name="Mean Tries"
1213: pointtype="1"
1214: color="xCC4444">
1215: $std_data
1216: </curve>
1217: </gnuplot>
1218: END
1219: my $plotresult =
1220: '<p>'.&Apache::lonxml::xmlparse($r,'web',$plot).'</p>'.$/;
1221: $r->print($plotresult);
1222: return;
1223: }
1224:
1225: sub plot_dropdown {
1226: my $current = '';
1227: #
1228: if (defined($env{'form.plot'})) {
1229: $current = $env{'form.plot'};
1230: }
1231: #
1232: my @Additional_Plots = (
1233: { graphable=>'yes',
1234: name => 'degrees',
1235: title => 'Difficulty Indexes' },
1236: { graphable=>'yes',
1237: name => 'tries statistics',
1238: title => 'Tries Statistics' });
1239: #
1240: my $Str= "\n".'<select name="plot" size="1">';
1241: $Str .= '<option name="none"></option>'."\n";
1242: $Str .= '<option name="none2">none</option>'."\n";
1243: foreach my $field (@Additional_Plots,@Fields) {
1244: if (! exists($field->{'graphable'}) ||
1245: $field->{'graphable'} ne 'yes') {
1246: next;
1247: }
1248: $Str .= '<option value="'.$field->{'name'}.'"';
1249: if ($field->{'name'} eq $current) {
1250: $Str .= ' selected ';
1251: }
1252: $Str.= '>'.&mt($field->{'title'}).'</option>'."\n";
1253: }
1254: $Str .= '</select>'."\n";
1255: return $Str;
1256: }
1257:
1258: ###############################################
1259: ###############################################
1260: ##
1261: ## Excel output routines
1262: ##
1263: ###############################################
1264: ###############################################
1265: sub Excel_output {
1266: my ($r) = @_;
1267: $r->print('<h2>'.&mt('Preparing Excel Spreadsheet').'</h2>');
1268: ##
1269: ## Compute the statistics
1270: &compute_all_statistics($r);
1271: my $c = $r->connection;
1272: return if ($c->aborted());
1273: #
1274: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1275: ##
1276: ## Create the excel workbook
1277: my ($excel_workbook,$filename,$format) =
1278: &Apache::loncommon::create_workbook($r);
1279: return if (! defined($excel_workbook));
1280: #
1281: # Add a worksheet
1282: my $sheetname = $env{'course.'.$env{'request.course.id'}.'.description'};
1283: if (length($sheetname) > 31) {
1284: $sheetname = substr($sheetname,0,31);
1285: }
1286: my $excel_sheet = $excel_workbook->addworksheet(
1287: &Apache::loncommon::clean_excel_name($sheetname));
1288: ##
1289: ## Begin creating excel sheet
1290: ##
1291: my ($rows_output,$cols_output) = (0,0);
1292: #
1293: # Put the course description in the header
1294: $excel_sheet->write($rows_output,$cols_output++,
1295: $env{'course.'.$env{'request.course.id'}.'.description'},
1296: $format->{'h1'});
1297: $cols_output += 3;
1298: #
1299: # Put a description of the sections listed
1300: my $sectionstring = '';
1301: $excel_sheet->write($rows_output,$cols_output++,
1302: &Apache::lonstatistics::section_and_enrollment_description('plaintext'),
1303: $format->{'h3'});
1304: $cols_output += scalar(&Apache::lonstatistics::get_selected_sections());
1305: #
1306: # Time restrictions
1307: my $time_string;
1308: if (defined($starttime)) {
1309: # call localtime but not lonlocal:locallocaltime because excel probably
1310: # cannot handle localized text. Probably.
1311: $time_string .= 'Data collected from '.localtime($time_string);
1312: if (defined($endtime)) {
1313: $time_string .= ' to '.localtime($endtime);
1314: }
1315: $time_string .= '.';
1316: } elsif (defined($endtime)) {
1317: # See note above about lonlocal:locallocaltime
1318: $time_string .= 'Data collected before '.localtime($endtime).'.';
1319: }
1320: if (defined($time_string)) {
1321: $excel_sheet->write($rows_output,$cols_output++,$time_string);
1322: $cols_output+= 5;
1323: }
1324: #
1325: # Put the date in there too
1326: $excel_sheet->write($rows_output,$cols_output++,
1327: 'Compiled on '.localtime(time));
1328: #
1329: $rows_output++;
1330: $cols_output=0;
1331: ##
1332: ## Sequence Statistics
1333: ##
1334: &write_headers($excel_sheet,$format,\$rows_output,\$cols_output,
1335: \@SeqFields);
1336: foreach my $seq (@sequences) {
1337: my $data = $SeqStat{$seq->symb};
1338: $cols_output=0;
1339: foreach my $field (@SeqFields) {
1340: next if ($field->{'selected'} ne 'yes');
1341: my $fieldformat = undef;
1342: if (exists($field->{'excel_format'})) {
1343: $fieldformat = $format->{$field->{'excel_format'}};
1344: }
1345: $excel_sheet->write($rows_output,$cols_output++,
1346: $data->{$field->{'name'}},$fieldformat);
1347: }
1348: $rows_output++;
1349: $cols_output=0;
1350: }
1351: ##
1352: ## Resource Statistics
1353: ##
1354: $rows_output++;
1355: $cols_output=0;
1356: &write_headers($excel_sheet,$format,\$rows_output,\$cols_output,
1357: \@Fields);
1358: #
1359: foreach my $data (@StatsArray) {
1360: $cols_output=0;
1361: foreach my $field (@Fields) {
1362: next if ($field->{'selected'} ne 'yes');
1363: next if ($field->{'name'} eq 'problem_num');
1364: my $fieldformat = undef;
1365: if (exists($field->{'excel_format'})) {
1366: $fieldformat = $format->{$field->{'excel_format'}};
1367: }
1368: $excel_sheet->write($rows_output,$cols_output++,
1369: $data->{$field->{'name'}},$fieldformat);
1370: }
1371: $rows_output++;
1372: $cols_output=0;
1373: }
1374: #
1375: $excel_workbook->close();
1376: #
1377: # Tell the user where to get their excel file
1378: $r->print('<br />'.
1379: '<a href="'.$filename.'">'.
1380: &mt('Your Excel Spreadsheet').'</a>'."\n");
1381: $r->rflush();
1382: return;
1383: }
1384:
1385: ##
1386: ## &write_headers
1387: ##
1388: sub write_headers {
1389: my ($excel_sheet,$format,$rows_output,$cols_output,$Fields) = @_;
1390: ##
1391: ## First the long titles
1392: foreach my $field (@{$Fields}) {
1393: next if ($field->{'name'} eq 'problem_num');
1394: next if ($field->{'selected'} ne 'yes');
1395: if (exists($field->{'long_title'})) {
1396: $excel_sheet->write($$rows_output,${$cols_output},
1397: $field->{'long_title'},
1398: $format->{'bold'});
1399: } else {
1400: $excel_sheet->write($$rows_output,${$cols_output},'');
1401: }
1402: ${$cols_output}+= 1;
1403: }
1404: ${$cols_output} =0;
1405: ${$rows_output}+=1;
1406: ##
1407: ## Then the short titles
1408: foreach my $field (@{$Fields}) {
1409: next if ($field->{'selected'} ne 'yes');
1410: next if ($field->{'name'} eq 'problem_num');
1411: # Use english for excel as I am not sure how well excel handles
1412: # other character sets....
1413: $excel_sheet->write($$rows_output,$$cols_output,
1414: $field->{'title'},
1415: $format->{'bold'});
1416: $$cols_output+=1;
1417: }
1418: ${$cols_output} =0;
1419: ${$rows_output}+=1;
1420: return;
1421: }
1422:
1423: ##################################################
1424: ##################################################
1425: ##
1426: ## Statistics Gathering and Manipulation Routines
1427: ##
1428: ##################################################
1429: ##################################################
1430: sub compute_statistics_on_sequence {
1431: my ($seq) = @_;
1432: my @Data;
1433: foreach my $res (&Apache::lonstathelpers::get_resources($navmap,$seq)) {
1434: foreach my $part (@{$res->parts}) {
1435: next if ($res->is_survey($part));
1436: #
1437: # This is where all the work happens
1438: my $data = &get_statistics($seq,$res,$part,scalar(@StatsArray)+1);
1439: push (@Data,$data);
1440: push (@StatsArray,$data);
1441: }
1442: }
1443: return @Data;
1444: }
1445:
1446: sub compute_all_statistics {
1447: my ($r) = @_;
1448: if (@StatsArray > 0) {
1449: # Assume we have already computed the statistics
1450: return;
1451: }
1452: my $c = $r->connection;
1453: foreach my $seq (@sequences) {
1454: last if ($c->aborted);
1455: &compute_sequence_statistics($seq);
1456: &compute_statistics_on_sequence($seq);
1457: }
1458: }
1459:
1460: sub sort_data {
1461: my ($sortkey) = @_;
1462: return if (! @StatsArray);
1463: #
1464: # Sort the data
1465: my $sortby = undef;
1466: foreach my $field (@Fields) {
1467: if ($sortkey eq $field->{'name'}) {
1468: $sortby = $field->{'name'};
1469: }
1470: }
1471: if (! defined($sortby) || $sortby eq '' || $sortby eq 'problem_num') {
1472: $sortby = 'container';
1473: }
1474: if ($sortby ne 'container') {
1475: # $sortby is already defined, so we can charge ahead
1476: if ($sortby =~ /^(title|part)$/i) {
1477: # Alpha comparison
1478: @StatsArray = sort {
1479: lc($a->{$sortby}) cmp lc($b->{$sortby}) ||
1480: lc($a->{'title'}) cmp lc($b->{'title'}) ||
1481: lc($a->{'part'}) cmp lc($b->{'part'});
1482: } @StatsArray;
1483: } else {
1484: # Numerical comparison
1485: @StatsArray = sort {
1486: my $retvalue = 0;
1487: if ($b->{$sortby} eq 'nan') {
1488: if ($a->{$sortby} ne 'nan') {
1489: $retvalue = -1;
1490: } else {
1491: $retvalue = 0;
1492: }
1493: }
1494: if ($a->{$sortby} eq 'nan') {
1495: if ($b->{$sortby} ne 'nan') {
1496: $retvalue = 1;
1497: }
1498: }
1499: if ($retvalue eq '0') {
1500: $retvalue = $b->{$sortby} <=> $a->{$sortby} ||
1501: lc($a->{'title'}) <=> lc($b->{'title'}) ||
1502: lc($a->{'part'}) <=> lc($b->{'part'});
1503: }
1504: $retvalue;
1505: } @StatsArray;
1506: }
1507: }
1508: #
1509: # Renumber the data set
1510: my $count;
1511: foreach my $data (@StatsArray) {
1512: $data->{'problem_num'} = ++$count;
1513: }
1514: return;
1515: }
1516:
1517: ########################################################
1518: ########################################################
1519:
1520: =pod
1521:
1522: =item &get_statistics()
1523:
1524: Wrapper routine from the call to loncoursedata::get_problem_statistics.
1525: Calls lonstathelpers::get_time_limits() to limit the data set by time
1526: and &compute_discrimination_factor
1527:
1528: Inputs: $sequence, $resource, $part, $problem_num
1529:
1530: Returns: Hash reference with statistics data from
1531: loncoursedata::get_problem_statistics.
1532:
1533: =cut
1534:
1535: ########################################################
1536: ########################################################
1537: sub get_statistics {
1538: my ($sequence,$resource,$part,$problem_num) = @_;
1539: #
1540: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1541: my $symb = $resource->symb;
1542: my $courseid = $env{'request.course.id'};
1543: #
1544: my $data = &Apache::loncoursedata::get_problem_statistics
1545: ([&Apache::lonstatistics::get_selected_sections()],
1546: $Apache::lonstatistics::enrollment_status,
1547: $symb,$part,$courseid,$starttime,$endtime);
1548: $data->{'symb'} = $symb;
1549: $data->{'part'} = $part;
1550: $data->{'problem_num'} = $problem_num;
1551: $data->{'container'} = $sequence->compTitle;
1552: $data->{'title'} = $resource->compTitle;
1553: $data->{'title.link'} = $resource->src.'?symb='.
1554: &Apache::lonnet::escape($resource->symb);
1555: #
1556: if ($SelectedFields{'deg_of_disc'}) {
1557: $data->{'deg_of_disc'} =
1558: &compute_discrimination_factor($resource,$part,$sequence);
1559: }
1560: #
1561: # Store in metadata if computations were done for all students
1562: if ($data->{'num_students'} > 1) {
1563: my @Sections = &Apache::lonstatistics::get_selected_sections();
1564: my $sections = '"'.join(' ',@Sections).'"';
1565: $sections =~ s/&+/_/g; # Ensure no special characters
1566: $data->{'sections'}=$sections;
1567: $data->{'course'} = $env{'request.course.id'};
1568: my $urlres=(&Apache::lonnet::decode_symb($resource->symb))[2];
1569: $data->{'urlres'}=$urlres;
1570: my %storestats =
1571: &LONCAPA::lonmetadata::dynamic_metadata_storage($data);
1572: my ($dom,$user) = $urlres=~/^(\w+)\/(\w+)/;
1573: &Apache::lonnet::put('nohist_resevaldata',\%storestats,$dom,$user);
1574: }
1575: #
1576: $data->{'tries_per_correct'} = $data->{'tries'} /
1577: ($data->{'num_solved'}+0.1);
1578: #
1579: # Get the due date for research purposes (commented out most of the time)
1580: # $data->{'duedate'} =
1581: # &Apache::lonnet::EXT('resource.'.$part.'.duedate',$symb);
1582: # $data->{'opendate'} =
1583: # &Apache::lonnet::EXT('resource.'.$part.'.opendate',$symb);
1584: # $data->{'maxtries'} =
1585: # &Apache::lonnet::EXT('resource.'.$part.'.maxtries',$symb);
1586: # $data->{'hinttries'} =
1587: # &Apache::lonnet::EXT('resource.'.$part.'.hinttries',$symb);
1588: $data->{'weight'} =
1589: &Apache::lonnet::EXT('resource.'.$part.'.weight',$symb);
1590: # $data->{'resptypes'} = join(',',@{$resource->{'partdata'}->{$part}->{'ResponseTypes'}});
1591: return $data;
1592: }
1593:
1594: ###############################################
1595: ###############################################
1596:
1597: =pod
1598:
1599: =item &compute_discrimination_factor()
1600:
1601: Inputs: $Resource, $Sequence
1602:
1603: Returns: integer between -1 and 1
1604:
1605: =cut
1606:
1607: ###############################################
1608: ###############################################
1609: sub compute_discrimination_factor {
1610: my ($resource,$part,$seq) = @_;
1611: my $symb = $resource->symb;
1612: my @Resources;
1613: foreach my $res (&Apache::lonstathelpers::get_resources($navmap,$seq)){
1614: next if ($res->symb eq $symb);
1615: push (@Resources,$res->symb);
1616: }
1617: #
1618: # rank
1619: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1620: my $ranking =
1621: &Apache::loncoursedata::rank_students_by_scores_on_resources
1622: (\@Resources,
1623: [&Apache::lonstatistics::get_selected_sections()],
1624: $Apache::lonstatistics::enrollment_status,undef,
1625: $starttime,$endtime);
1626: #
1627: # compute their percent scores on the problems in the sequence,
1628: my $number_to_grab = int(scalar(@{$ranking})/4);
1629: my $num_students = scalar(@{$ranking});
1630: my @BottomSet = map { $_->[&Apache::loncoursedata::RNK_student()];
1631: } @{$ranking}[0..$number_to_grab];
1632: my @TopSet =
1633: map {
1634: $_->[&Apache::loncoursedata::RNK_student()];
1635: } @{$ranking}[($num_students-$number_to_grab)..($num_students-1)];
1636: if (! @BottomSet || (@BottomSet == 1 && $BottomSet[0] eq '') ||
1637: ! @TopSet || (@TopSet == 1 && $TopSet[0] eq '')) {
1638: return 'nan';
1639: }
1640: my ($bottom_sum,$bottom_max) =
1641: &Apache::loncoursedata::get_sum_of_scores($symb,$part,\@BottomSet,
1642: undef,$starttime,$endtime);
1643: my ($top_sum,$top_max) =
1644: &Apache::loncoursedata::get_sum_of_scores($symb,$part,\@TopSet,
1645: undef,$starttime,$endtime);
1646: my $deg_of_disc;
1647: if ($top_max == 0 || $bottom_max==0) {
1648: $deg_of_disc = 'nan';
1649: } else {
1650: $deg_of_disc = ($top_sum/$top_max) - ($bottom_sum/$bottom_max);
1651: }
1652: #&Apache::lonnet::logthis(' '.$top_sum.'/'.$top_max.
1653: # ' - '.$bottom_sum.'/'.$bottom_max);
1654: return $deg_of_disc;
1655: }
1656:
1657: ###############################################
1658: ###############################################
1659: ##
1660: ## Compute KR-21
1661: ##
1662: ## To compute KR-21, you need the following information:
1663: ##
1664: ## K=the number of items in your test
1665: ## M=the mean score on the test
1666: ## s=the standard deviation of the scores on your test
1667: ##
1668: ## then:
1669: ##
1670: ## KR-21 rk= [K/(K-1)] * [1- (M*(K-M))/(K*s^2))]
1671: ##
1672: ###############################################
1673: ###############################################
1674: sub compute_sequence_statistics {
1675: my ($seq) = @_;
1676: my $symb = $seq->symb;
1677: my @Resources;
1678: my $part_count;
1679: foreach my $res (&Apache::lonstathelpers::get_resources($navmap,$seq)) {
1680: push (@Resources,$res->symb);
1681: $part_count += scalar(@{$res->parts});
1682: }
1683: my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits();
1684: #
1685: # First compute statistics based on student scores
1686: my ($smin,$smax,$sMean,$sSTD,$scount,$sMAX) =
1687: &Apache::loncoursedata::score_stats
1688: ([&Apache::lonstatistics::get_selected_sections()],
1689: $Apache::lonstatistics::enrollment_status,
1690: \@Resources,$starttime,$endtime,undef);
1691: $SeqStat{$symb}->{'title'} = $seq->compTitle;
1692: $SeqStat{$symb}->{'scoremax'} = $smax;
1693: $SeqStat{$symb}->{'scoremin'} = $smin;
1694: $SeqStat{$symb}->{'scoremean'} = $sMean;
1695: $SeqStat{$symb}->{'scorestd'} = $sSTD;
1696: $SeqStat{$symb}->{'scorecount'} = $scount;
1697: $SeqStat{$symb}->{'max_possible'} = $sMAX;
1698: #
1699: # Compute statistics based on the number of correct problems
1700: # 'correct' is taken to mean
1701: my ($cmin,$cmax,$cMean,$cSTD,$ccount)=
1702: &Apache::loncoursedata::count_stats
1703: ([&Apache::lonstatistics::get_selected_sections()],
1704: $Apache::lonstatistics::enrollment_status,
1705: \@Resources,$starttime,$endtime,undef);
1706: my $K = $part_count;
1707: my $kr_21;
1708: if ($K > 1 && $cSTD > 0) {
1709: $kr_21 = ($K/($K-1)) * (1 - $cMean*($K-$cMean)/($K*$cSTD**2));
1710: } else {
1711: $kr_21 = 'nan';
1712: }
1713: $SeqStat{$symb}->{'countmax'} = $cmax;
1714: $SeqStat{$symb}->{'countmin'} = $cmin;
1715: $SeqStat{$symb}->{'countstd'} = $cSTD;
1716: $SeqStat{$symb}->{'countmean'} = $cMean;
1717: $SeqStat{$symb}->{'count'} = $ccount;
1718: $SeqStat{$symb}->{'items'} = $K;
1719: $SeqStat{$symb}->{'KR-21'}=$kr_21;
1720: return;
1721: }
1722:
1723:
1724:
1725: =pod
1726:
1727: =item ProblemStatisticsLegend
1728:
1729: =over 4
1730:
1731: =item #Stdnts
1732: Total number of students attempted the problem.
1733:
1734: =item Tries
1735: Total number of tries for solving the problem.
1736:
1737: =item Max Tries
1738: Largest number of tries for solving the problem by a student.
1739:
1740: =item Mean
1741: Average number of tries. [ Tries / #Stdnts ]
1742:
1743: =item #YES
1744: Number of students solved the problem correctly.
1745:
1746: =item #yes
1747: Number of students solved the problem by override.
1748:
1749: =item %Wrong
1750: Percentage of students who tried to solve the problem
1751: but is still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ]
1752:
1753: =item DoDiff
1754: Degree of Difficulty of the problem.
1755: [ 1 - ((#YES+#yes) / Tries) ]
1756:
1757: =item S.D.
1758: Standard Deviation of the tries.
1759: [ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1)
1760: where Xi denotes every student\'s tries ]
1761:
1762: =item Skew.
1763: Skewness of the students tries.
1764: [(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)]
1765:
1766: =item Dis.F.
1767: Discrimination Factor: A Standard for evaluating the
1768: problem according to a Criterion<br>
1769:
1770: =item [Criterion to group students into %27 Upper Students -
1771: and %27 Lower Students]
1772: 1st Criterion for Sorting the Students:
1773: Sum of Partial Credit Awarded / Total Number of Tries
1774: 2nd Criterion for Sorting the Students:
1775: Total number of Correct Answers / Total Number of Tries
1776:
1777: =item Disc.
1778: Number of Students had at least one discussion.
1779:
1780: =back
1781:
1782: =cut
1783:
1784: ############################################################
1785: ############################################################
1786:
1787: 1;
1788: __END__
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