Annotation of loncom/interface/statistics/lonproblemstatistics.pm, revision 1.40
1.1 stredwic 1: # The LearningOnline Network with CAPA
2: #
1.40 ! matthew 3: # $Id: lonproblemstatistics.pm,v 1.39 2002/12/13 21:39:19 albertel Exp $
1.1 stredwic 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: # YEAR=2001
29: # 5/5,7/9,7/25/1,8/11,9/13,9/26,10/5,10/9,10/22,10/26 Behrouz Minaei
30: # 11/1,11/4,11/16,12/14,12/16,12/18,12/20,12/31 Behrouz Minaei
31: # YEAR=2002
1.35 minaeibi 32: # 1/22,2/1,2/6,2/25,3/2,3/26,4/7,5/6 Behrouz Minaei
33: # 5/12,5/26,7/16,7/29,8/5,10/31 Behrouz Minaei
1.1 stredwic 34: #
35: ###
36:
1.36 minaeibi 37: package Apache::lonproblemstatistics;
1.1 stredwic 38:
39: use strict;
40: use Apache::lonnet();
41: use Apache::lonhtmlcommon;
42: use Apache::loncoursedata;
43: use GDBM_File;
44:
45:
1.26 stredwic 46: sub InitializeProblemStatistics {
1.5 minaeibi 47: my ($cacheDB, $students, $courseID, $c, $r)=@_;
1.1 stredwic 48: my %cache;
1.16 minaeibi 49:
1.18 albertel 50: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) {
1.28 stredwic 51: $r->print('Unable to tie database1.');
1.26 stredwic 52: return ('ERROR', undef);
1.1 stredwic 53: }
54:
1.25 stredwic 55: # Remove students who don't have the proper section.
56: my @sectionsSelected = split(':',$cache{'sectionsSelected'});
57: for(my $studentIndex=((scalar @$students)-1); $studentIndex>=0;
58: $studentIndex--) {
59: my $value = $cache{$students->[$studentIndex].':section'};
60: my $found = 0;
61: foreach (@sectionsSelected) {
62: if($_ eq 'none') {
63: if($value eq '' || !defined($value) || $value eq ' ') {
64: $found = 1;
65: last;
66: }
67: } else {
68: if($value eq $_) {
69: $found = 1;
70: last;
71: }
72: }
73: }
74: if($found == 0) {
75: splice(@$students, $studentIndex, 1);
76: }
77: }
78:
1.28 stredwic 79: my $isNotCached = 0;
1.25 stredwic 80: my $lastStatus = (defined($cache{'StatisticsLastStatus'})) ?
81: $cache{'StatisticsLastStatus'} : 'Nothing';
82: my $whichStudents = join(':::',sort(@$students));
1.34 minaeibi 83: if(!defined($cache{'StatisticsCached'}) ||
1.25 stredwic 84: $lastStatus ne $cache{'Status'} ||
85: $whichStudents ne $cache{'StatisticsWhichStudents'}) {
1.28 stredwic 86: $isNotCached = 1;
87: }
88:
89: untie(%cache);
90: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_WRCREAT(),0640)) {
91: $r->print('Unable to tie database.2');
92: return ('ERROR', undef);
93: }
94: if($isNotCached && defined($cache{'StatisticsCached'})) {
95: my @statkeys = split(':::', $cache{'StatisticsKeys'});
96: delete $cache{'StatisticsKeys'};
97: delete $cache{'StatisticsCached'};
98: foreach(@statkeys) {
99: delete $cache{$_};
1.24 stredwic 100: }
1.28 stredwic 101: }
102:
103: untie(%cache);
104: if($isNotCached) {
1.21 stredwic 105: &Apache::loncoursedata::DownloadStudentCourseDataSeparate($students,
106: 'true',
107: $cacheDB,
1.34 minaeibi 108: 'true',
1.21 stredwic 109: 'true',
110: $courseID,
111: $r, $c);
1.28 stredwic 112: }
113: if($c->aborted()) { return ('ERROR', undef); }
1.21 stredwic 114:
1.28 stredwic 115: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) {
116: $r->print('Unable to tie database.3');
117: return ('ERROR', undef);
118: }
119: my $problemData;
120: if($isNotCached) {
121: ($problemData) = &ExtractStudentData(\%cache, $students);
1.29 stredwic 122: &CalculateStatistics($problemData, \%cache, $courseID);
1.28 stredwic 123: }
124: untie(%cache);
1.21 stredwic 125:
1.28 stredwic 126: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_WRCREAT(),0640)) {
127: $r->print('Unable to tie database.4');
128: return ('ERROR', undef);
129: }
130: if($isNotCached) {
1.21 stredwic 131: foreach(keys(%$problemData)) {
132: $cache{$_} = $problemData->{$_};
133: }
1.24 stredwic 134: $cache{'StatisticsKeys'} = join(':::', keys(%$problemData));
1.21 stredwic 135: $cache{'StatisticsCached'} = 'true';
1.25 stredwic 136: $cache{'StatisticsLastStatus'} = $cache{'Status'};
137: $cache{'StatisticsWhichStudents'} = $whichStudents;
1.28 stredwic 138: }
139: untie(%cache);
1.21 stredwic 140:
1.28 stredwic 141: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) {
142: $r->print('Unable to tie database.5');
143: return ('ERROR', undef);
1.21 stredwic 144: }
1.25 stredwic 145:
1.34 minaeibi 146: my $orderedProblems = &SortProblems(\%cache,
1.21 stredwic 147: $cache{'ProblemStatisticsSort'},
1.26 stredwic 148: $cache{'SortProblems'},
1.21 stredwic 149: $cache{'ProblemStatisticsAscend'});
1.28 stredwic 150: untie(%cache);
151:
1.26 stredwic 152: return ('OK', $orderedProblems);
153: }
154:
155: sub BuildProblemStatisticsPage {
156: my ($cacheDB, $students, $courseID, $c, $r)=@_;
157:
158: my @Header = ("Homework Sets Order","#Stdnts","Tries","Mod",
159: "Mean","#YES","#yes","%Wrng","DoDiff",
1.27 stredwic 160: "S.D.","Skew.","D.F.1st","D.F.2nd");
1.26 stredwic 161: my $color=&setbgcolor(0);
162: my %cache;
163:
164: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) {
1.28 stredwic 165: $r->print('Unable to tie database.6');
1.26 stredwic 166: return;
167: }
168: my $Ptr = '';
1.27 stredwic 169: $Ptr .= '<table border="0" cellspacing="5"><tbody>';
1.26 stredwic 170: $Ptr .= '<tr><td align="right"><b>Select Map</b></td>'."\n";
171: $Ptr .= '<td align="left">';
1.31 stredwic 172: $Ptr .= &Apache::lonhtmlcommon::MapOptions(\%cache, 'Statistics',
1.26 stredwic 173: 'Statistics');
174: $Ptr .= '</td></tr>'."\n";
175: $Ptr .= '<tr><td align="right"><b>Sorting Type:</b></td>'."\n";
176: $Ptr .= '<td align="left">'."\n";
177: $Ptr .= &Apache::lonhtmlcommon::AscendOrderOptions(
1.34 minaeibi 178: $cache{'ProblemStatisticsAscend'},
1.31 stredwic 179: 'ProblemStatistics',
180: 'Statistics');
1.26 stredwic 181: $Ptr .= '</td></tr>'."\n";
182: $Ptr .= '<tr><td align="right"><b>Select Sections</b>';
183: $Ptr .= '</td>'."\n";
184: $Ptr .= '<td align="left">'."\n";
185: my @sections = split(':',$cache{'sectionList'});
186: my @sectionsSelected = split(':',$cache{'sectionsSelected'});
1.40 ! matthew 187: $Ptr .= &Apache::lonstatistics::SectionSelect('Section','multiple',5);
1.26 stredwic 188: $Ptr .= '</td></tr>'."\n";
1.34 minaeibi 189: $Ptr .= &ProblemStatisticsButtons($cache{'DisplayFormat'},
1.26 stredwic 190: $cache{'DisplayLegend'},
191: $cache{'SortProblems'});
192: $Ptr .= '</table>';
193: if($cache{'DisplayLegend'} eq 'Show Legend') {
194: $Ptr .= &ProblemStatisticsLegend();
195: }
196: $r->print($Ptr);
197: $r->rflush();
198: untie(%cache);
199:
200: my ($result, $orderedProblems) =
201: &InitializeProblemStatistics($cacheDB, $students, $courseID, $c, $r);
202: if($result ne 'OK') {
203: return;
204: }
205:
206: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) {
1.28 stredwic 207: $r->print('Unable to tie database.6');
1.26 stredwic 208: return;
209: }
1.34 minaeibi 210: &BuildStatisticsTable(\%cache, $cache{'DisplayFormat'},
211: $cache{'SortProblems'}, $orderedProblems,
1.21 stredwic 212: \@Header, $r, $color);
1.19 stredwic 213: untie(%cache);
1.12 minaeibi 214:
1.19 stredwic 215: return;
1.1 stredwic 216: }
217:
1.24 stredwic 218: sub BuildGraphicChart {
1.26 stredwic 219: my ($graph,$cacheDB,$courseDescription,$students,$courseID,$r,$c)=@_;
1.24 stredwic 220: my %cache;
1.36 minaeibi 221: my $max;
1.34 minaeibi 222:
223: my $title = '';
224: if($graph eq 'DoDiffGraph') {
225: $title = 'Degree-of-Difficulty';
226: } else {
227: $title = 'Wrong-Percentage';
228: }
1.24 stredwic 229:
1.34 minaeibi 230: my $currentSequence = -1;
231: my $sortProblems = 'Sort Within Sequence';
232:
233: my ($result, $orderedProblems) =
1.26 stredwic 234: &InitializeProblemStatistics($cacheDB, $students, $courseID, $c, $r);
235: if($result ne 'OK') {
236: return;
237: }
238:
1.24 stredwic 239: my @values = ();
1.38 albertel 240:
241: unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) {
242: return 'Unable to tie database.7';
243: }
1.34 minaeibi 244:
245: foreach(@$orderedProblems) {
246: my ($sequence,$problem,$part)=split(':', $_);
247: if($cache{'StatisticsMaps'} ne 'All Maps' &&
248: $cache{'StatisticsMaps'} ne $cache{$sequence.':title'}) {
1.35 minaeibi 249: next;
1.34 minaeibi 250: }
251:
1.35 minaeibi 252: if( $currentSequence == -1 ||
253: ($sortProblems eq 'Sort Within Sequence' &&
1.34 minaeibi 254: $currentSequence != $sequence)) {
1.35 minaeibi 255: if($currentSequence != -1) {
256: &DrawGraph(\@values,$courseDescription,$title,$max,$r);
257: }
1.34 minaeibi 258: if($sortProblems eq 'Sort Within Sequence') {
1.36 minaeibi 259: $r->print('<br><b>'.$cache{$sequence.':title'}.'</b>'."\n");
1.34 minaeibi 260: }
261:
262: $currentSequence = $sequence;
263: @values = ();
1.36 minaeibi 264: $max=0;
1.34 minaeibi 265: }
1.24 stredwic 266: my $data = 0;
267: if($graph eq 'DoDiffGraph') {
268: $data = sprintf("%.2f", $cache{$_.':degreeOfDifficulty'}),
269: } else {
270: $data = sprintf("%.1f", $cache{$_.':percentWrong'}),
271: }
272: if($max < $data) {
273: $max = $data;
274: }
275: push(@values, $data);
276: }
1.35 minaeibi 277: untie(%cache);
1.24 stredwic 278:
1.35 minaeibi 279: &DrawGraph(\@values,$courseDescription,$title,$max,$r);
1.24 stredwic 280:
281: return;
282: }
1.1 stredwic 283:
1.34 minaeibi 284:
1.35 minaeibi 285: sub DrawGraph {
286: my ($values,$courseDescription,$title,$Max,$r)=@_;
287: my $sendValues = join(',', @$values);
288: my $sendCount = scalar(@$values);
1.36 minaeibi 289: $r->print("<br>The Maximum Value is: $Max");
1.35 minaeibi 290: if ( $Max > 1 ) {
291: if ($Max % 10) {
1.36 minaeibi 292: if ( int($Max) < $Max ) {
293: $Max++;
294: $Max = int($Max);
295: }
1.35 minaeibi 296: }
1.36 minaeibi 297: #(10 - $Max % 10);
1.35 minaeibi 298: } else { $Max = 1; }
299:
1.36 minaeibi 300: my @GData = ('','Problem_number',$title,$Max,$sendCount,$sendValues);
301:
302: # $r->print('</form>'."\n");
303: $r->print('<br>'."\n");
1.39 albertel 304: $r->print('<IMG src="/cgi-bin/graph.png?'.
1.35 minaeibi 305: (join('&', @GData)).'" border="1" />');
1.36 minaeibi 306: # $r->print('<form>'."\n");
307: $r->print('<br>'."\n");
1.35 minaeibi 308: }
309:
1.1 stredwic 310: #---- Problem Statistics Web Page ---------------------------------------
311:
312: sub CreateProblemStatisticsTableHeading {
1.19 stredwic 313: my ($headings,$r)=@_;
1.3 minaeibi 314:
1.19 stredwic 315: my $Str='';
316: $Str .= '<tr>'."\n";
317: $Str .= '<th bgcolor="#ffffe6">P#</th>'."\n";
318: foreach(@$headings) {
1.27 stredwic 319: $Str .= '<th bgcolor="#ffffe6">';
320: $Str .= '<a href="/adm/statistics?reportSelected=';
1.19 stredwic 321: $Str .= &Apache::lonnet::escape('Problem Statistics');
322: $Str .= '&ProblemStatisticsSort=';
323: $Str .= &Apache::lonnet::escape($_).'">'.$_.'</a> </th>'."\n";
1.1 stredwic 324: }
1.34 minaeibi 325: $Str .= "\n".'</tr>'."\n";
1.1 stredwic 326:
1.19 stredwic 327: return $Str;
1.1 stredwic 328: }
1.12 minaeibi 329:
1.1 stredwic 330: sub BuildStatisticsTable {
1.26 stredwic 331: my ($cache,$displayFormat,$sortProblems,$orderedProblems,$headings,
332: $r,$color)=@_;
1.5 minaeibi 333:
1.19 stredwic 334: my $count = 1;
1.26 stredwic 335: my $currentSequence = -1;
1.21 stredwic 336: foreach(@$orderedProblems) {
1.36 minaeibi 337: my ($sequence,$problem,$part)=split(':', $_);
1.25 stredwic 338: if($cache->{'StatisticsMaps'} ne 'All Maps' &&
339: $cache->{'StatisticsMaps'} ne $cache->{$sequence.':title'}) {
1.23 stredwic 340: next;
341: }
1.19 stredwic 342:
1.34 minaeibi 343: if($currentSequence == -1 ||
344: ($sortProblems eq 'Sort Within Sequence' &&
1.26 stredwic 345: $currentSequence != $sequence)) {
346: if($displayFormat ne 'Display CSV Format') {
347: if($currentSequence ne -1) {
348: $r->print('</table>');
349: $r->print('</td></tr></table><br>');
350: }
351: if($sortProblems eq 'Sort Within Sequence') {
352: $r->print('<b>'.$cache->{$sequence.':title'}.'</b>');
353: }
354: $r->print('<table border="0"><tr><td bgcolor="#777777">'."\n");
355: $r->print('<table border="0" cellpadding="3">'."\n");
356: $r->print(&CreateProblemStatisticsTableHeading($headings, $r));
357: } else {
358: if($sortProblems eq 'Sort Within Sequence') {
359: $r->print('"'.$cache->{$sequence.':title'}.'"');
360: }
361: $r->print('<br>');
362: }
363: $currentSequence = $sequence;
364: }
365:
1.21 stredwic 366: my $ref = '<a href="'.$cache->{$problem.':source'}.
367: '" target="_blank">'.$cache->{$problem.':title'}.'</a>';
1.19 stredwic 368: my $title = $cache->{$problem.':title'};
1.27 stredwic 369: if($part != 0) {
370: $title .= ' Part '.$part;
371: }
1.26 stredwic 372: my $source = $cache->{$problem.':source'};
1.19 stredwic 373: my $tableData = join('&', $ref, $title, $source,
1.21 stredwic 374: $cache->{$_.':studentCount'},
375: $cache->{$_.':totalTries'},
376: $cache->{$_.':maxTries'},
1.27 stredwic 377: $cache->{$_.':mean'},
1.21 stredwic 378: $cache->{$_.':correct'},
379: $cache->{$_.':correctByOverride'},
1.27 stredwic 380: $cache->{$_.':percentWrong'},
381: $cache->{$_.':degreeOfDifficulty'},
382: $cache->{$_.':standardDeviation'},
383: $cache->{$_.':skewness'},
384: $cache->{$_.':discriminationFactor1'},
385: $cache->{$_.':discriminationFactor2'});
1.1 stredwic 386:
1.19 stredwic 387: &TableRow($displayFormat,$tableData,$count,$r,$color);
1.26 stredwic 388:
1.19 stredwic 389: $count++;
390: }
1.26 stredwic 391: if($displayFormat ne 'Display CSV Format') {
1.19 stredwic 392: $r->print('</table>'."\n");
1.26 stredwic 393: $r->print('</td></tr></table>');
394: } else {
395: $r->print('<br>');
1.1 stredwic 396: }
1.27 stredwic 397:
1.21 stredwic 398: return;
1.1 stredwic 399: }
400:
401: sub TableRow {
1.19 stredwic 402: my ($displayFormat,$Str,$RealIdx,$r,$color)=@_;
403: my($ref,$title,$source,$StdNo,$TotalTries,$MxTries,$Avg,$YES,$Override,
1.27 stredwic 404: $Wrng,$DoD,$SD,$Sk,$_D1,$_D2)=split(/\&/,$Str);
1.8 minaeibi 405: my $Ptr;
1.19 stredwic 406: if($displayFormat eq 'Display CSV Format') {
1.26 stredwic 407: $Ptr='"'.$RealIdx.'",'."\n".
408: '"'.$title.'",'."\n".
409: '"'.$source.'",'."\n".
410: '"'.$StdNo.'",'."\n".
411: '"'.$TotalTries.'",'."\n".
412: '"'.$MxTries.'",'."\n".
413: '"'.$Avg.'",'."\n".
414: '"'.$YES.'",'."\n".
415: '"'.$Override.'",'."\n".
416: '"'.$Wrng.'",'."\n".
417: '"'.$DoD.'",'."\n".
418: '"'.$SD.'",'."\n".
419: '"'.$Sk.'",'."\n".
420: '"'.$_D1.'",'."\n".
421: '"'.$_D2.'"'."\n".
422: "<br>\n";
1.1 stredwic 423:
424: $r->print("\n".$Ptr);
1.8 minaeibi 425: } else {
1.26 stredwic 426: $Ptr='<tr>'."\n".
427: '<td bgcolor="#ffffe6">'.$RealIdx.'</td>'."\n".
428: '<td bgcolor="#ffffe6">'.$ref.'</td>'."\n".
429: '<td bgcolor='.$color->{"yellow"}.'> '.$StdNo.'</td>'."\n".
430: '<td bgcolor='.$color->{"yellow"}.'>'.$TotalTries.'</td>'."\n".
431: '<td bgcolor='.$color->{"yellow"}.'>'.$MxTries.'</td>'."\n".
432: '<td bgcolor='.$color->{"gb"}.'>'.$Avg.'</td>'."\n".
433: '<td bgcolor='.$color->{"gb"}.'> '.$YES.'</td>'."\n".
434: '<td bgcolor='.$color->{"gb"}.'> '.$Override.'</td>'."\n".
435: '<td bgcolor='.$color->{"red"}.'> '.$Wrng.'</td>'."\n".
436: '<td bgcolor='.$color->{"red"}.'> '.$DoD.'</td>'."\n".
437: '<td bgcolor='.$color->{"green"}.'> '.$SD.'</td>'."\n".
438: '<td bgcolor='.$color->{"green"}.'> '.$Sk.'</td>'."\n".
439: '<td bgcolor='.$color->{"purple"}.'> '.$_D1.'</td>'."\n".
1.27 stredwic 440: '<td bgcolor='.$color->{"purple"}.'> '.$_D2.'</td>'."\n";
1.26 stredwic 441: $r->print($Ptr.'</tr>'."\n");
1.1 stredwic 442: }
1.19 stredwic 443:
444: return;
1.1 stredwic 445: }
1.5 minaeibi 446:
447: # For loading the colored table for display or un-colored for print
448: sub setbgcolor {
449: my $PrintTable=shift;
450: my %color;
451: if ($PrintTable){
452: $color{"gb"}="#FFFFFF";
453: $color{"red"}="#FFFFFF";
454: $color{"yellow"}="#FFFFFF";
455: $color{"green"}="#FFFFFF";
456: $color{"purple"}="#FFFFFF";
457: } else {
458: $color{"gb"}="#DDFFFF";
459: $color{"red"}="#FFDDDD";
460: $color{"yellow"}="#EEFFCC";
461: $color{"green"}="#DDFFDD";
462: $color{"purple"}="#FFDDFF";
463: }
464:
465: return \%color;
466: }
467:
1.1 stredwic 468: sub ProblemStatisticsButtons {
1.26 stredwic 469: my ($displayFormat, $displayLegend, $sortProblems)=@_;
1.1 stredwic 470:
471: my $Ptr = '<tr><td></td><td align="left">';
472: $Ptr .= '<input type="submit" name="DoDiffGraph" ';
1.33 minaeibi 473: $Ptr .= 'value="Plot Degree of Difficulty" />'."\n";
1.27 stredwic 474: $Ptr .= '</td><td align="left">';
1.1 stredwic 475: $Ptr .= '<input type="submit" name="PercentWrongGraph" ';
1.33 minaeibi 476: $Ptr .= 'value="Plot Percent Wrong" />'."\n";
1.20 stredwic 477: $Ptr .= '</td></tr><tr><td></td><td>'."\n";
1.26 stredwic 478: $Ptr .= '<input type="submit" name="SortProblems" ';
479: if($sortProblems eq 'Sort All Problems') {
480: $Ptr .= 'value="Sort Within Sequence" />'."\n";
481: } else {
482: $Ptr .= 'value="Sort All Problems" />'."\n";
483: }
1.27 stredwic 484: $Ptr .= '</td><td align="left">';
1.20 stredwic 485: $Ptr .= '<input type="submit" name="DisplayLegend" ';
486: if($displayLegend eq 'Show Legend') {
487: $Ptr .= 'value="Hide Legend" />'."\n";
488: } else {
489: $Ptr .= 'value="Show Legend" />'."\n";
490: }
1.27 stredwic 491: $Ptr .= '</td><td align="left">';
1.1 stredwic 492: $Ptr .= '<input type="submit" name="DisplayCSVFormat" ';
493: if($displayFormat eq 'Display CSV Format') {
1.9 stredwic 494: $Ptr .= 'value="Display Table Format" />'."\n";
495: } else {
1.1 stredwic 496: $Ptr .= 'value="Display CSV Format" />'."\n";
497: }
498: $Ptr .= '</td></tr>';
499:
500: return $Ptr;
501: }
502:
503: sub ProblemStatisticsLegend {
504: my $Ptr = '';
505: $Ptr = '<table border="0">';
506: $Ptr .= '<tr><td>';
1.6 minaeibi 507: $Ptr .= '<b>#Stdnts</b></td>';
1.19 stredwic 508: $Ptr .= '<td>Total number of students attempted the problem.';
1.1 stredwic 509: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 510: $Ptr .= '<b>Tries</b></td>';
1.19 stredwic 511: $Ptr .= '<td>Total number of tries for solving the problem.';
1.1 stredwic 512: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 513: $Ptr .= '<b>Mod</b></td>';
1.19 stredwic 514: $Ptr .= '<td>Largest number of tries for solving the problem by a student.';
1.1 stredwic 515: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 516: $Ptr .= '<b>Mean</b></td>';
1.19 stredwic 517: $Ptr .= '<td>Average number of tries. [ Tries / #Stdnts ]';
1.1 stredwic 518: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 519: $Ptr .= '<b>#YES</b></td>';
1.1 stredwic 520: $Ptr .= '<td>Number of students solved the problem correctly.';
521: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 522: $Ptr .= '<b>#yes</b></td>';
1.1 stredwic 523: $Ptr .= '<td>Number of students solved the problem by override.';
524: $Ptr .= '</td></tr><tr><td>';
1.19 stredwic 525: $Ptr .= '<b>%Wrong</b></td>';
526: $Ptr .= '<td>Percentage of students who tried to solve the problem ';
527: $Ptr .= 'but is still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ]';
1.1 stredwic 528: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 529: $Ptr .= '<b>DoDiff</b></td>';
1.1 stredwic 530: $Ptr .= '<td>Degree of Difficulty of the problem. ';
531: $Ptr .= '[ 1 - ((#YES+#yes) / Tries) ]';
532: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 533: $Ptr .= '<b>S.D.</b></td>';
1.1 stredwic 534: $Ptr .= '<td>Standard Deviation of the tries. ';
535: $Ptr .= '[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) ';
536: $Ptr .= 'where Xi denotes every student\'s tries ]';
537: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 538: $Ptr .= '<b>Skew.</b></td>';
1.1 stredwic 539: $Ptr .= '<td>Skewness of the students tries.';
540: $Ptr .= '[(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)]';
541: $Ptr .= '</td></tr><tr><td>';
1.6 minaeibi 542: $Ptr .= '<b>Dis.F.</b></td>';
1.1 stredwic 543: $Ptr .= '<td>Discrimination Factor: A Standard for evaluating the ';
544: $Ptr .= 'problem according to a Criterion<br>';
1.31 stredwic 545: $Ptr .= '<b>[Criterion to group students into %27 Upper Students - ';
546: $Ptr .= 'and %27 Lower Students]</b><br>';
1.1 stredwic 547: $Ptr .= '<b>1st Criterion</b> for Sorting the Students: ';
548: $Ptr .= '<b>Sum of Partial Credit Awarded / Total Number of Tries</b><br>';
549: $Ptr .= '<b>2nd Criterion</b> for Sorting the Students: ';
550: $Ptr .= '<b>Total number of Correct Answers / Total Number of Tries</b>';
551: $Ptr .= '</td></tr>';
552: $Ptr .= '<tr><td><b>Disc.</b></td>';
553: $Ptr .= '<td>Number of Students had at least one discussion.';
554: $Ptr .= '</td></tr></table>';
555:
556: return $Ptr;
557: }
558:
1.19 stredwic 559: sub ExtractStudentData {
560: my ($cache, $students)=@_;
561:
562: my @problemList=();
563: my %problemData;
564: foreach my $sequence (split(':', $cache->{'orderedSequences'})) {
565: foreach my $problemID (split(':', $cache->{$sequence.':problems'})) {
566: foreach my $part (split(/\:/,$cache->{$sequence.':'.
567: $problemID.
568: ':parts'})) {
569: my $id = $sequence.':'.$problemID.':'.$part;
570: push(@problemList, $id);
571: my $totalTries = 0;
572: my $totalAwarded = 0;
573: my $correct = 0;
574: my $correctByOverride = 0;
575: my $studentCount = 0;
576: my $maxTries = 0;
577: my $totalFirst = 0;
578: my @studentTries=();
579: foreach(@$students) {
580: my $code = $cache->{"$_:$problemID:$part:code"};
581:
582: if(defined($cache->{$_.':error'}) || $code eq ' ' ||
583: $cache->{"$_:$problemID:NoVersion"} eq 'true') {
584: next;
585: }
586:
587: $studentCount++;
588: my $tries = $cache->{"$_:$problemID:$part:tries"};
589: if($maxTries < $tries) {
590: $maxTries = $tries;
591: }
592: $totalTries += $tries;
593: push(@studentTries, $tries);
594:
595: my $awarded = $cache->{"$_:$problemID:$part:awarded"};
596: $totalAwarded += $awarded;
597:
598: if($code eq '*') {
599: $correct++;
600: if($tries == 1) {
601: $totalFirst++;
602: }
603: } elsif($code eq '+') {
604: $correctByOverride++;
605: }
606: }
607:
1.27 stredwic 608: my $studentTriesJoined = join(':::', @studentTries);
1.34 minaeibi 609: $problemData{$id.':sequenceTitle'} =
1.19 stredwic 610: $cache->{$sequence.':title'};
611: $problemData{$id.':studentCount'} = $studentCount;
612: $problemData{$id.':totalTries'} = $totalTries;
1.27 stredwic 613: $problemData{$id.':studentTries'} = $studentTriesJoined;
1.19 stredwic 614: $problemData{$id.':totalAwarded'} = $totalAwarded;
615: $problemData{$id.':correct'} = $correct;
616: $problemData{$id.':correctByOverride'} = $correctByOverride;
617: $problemData{$id.':wrong'} = $studentCount -
618: ($correct + $correctByOverride);
619: $problemData{$id.':maxTries'} = $maxTries;
620: $problemData{$id.':totalFirst'} = $totalFirst;
621: }
622: }
623: }
624:
1.24 stredwic 625: my @upperStudents1=();
626: my @lowerStudents1=();
627: my @upperStudents2=();
628: my @lowerStudents2=();
629: my $upperCount = int(0.27*scalar(@$students));
630: # Discriminant Factor criterion 1
631: my $sortedStudents = &SortDivideByTries($students,$cache,':totalAwarded');
632:
633: for(my $i=0; $i<$upperCount; $i++) {
634: push(@lowerStudents1, $sortedStudents->[$i]);
635: push(@upperStudents1, $sortedStudents->[(scalar(@$students)-$i-1)]);
636: }
637:
638: $problemData{'studentsUpperListCriterion1'}=join(':::', @upperStudents1);
639: $problemData{'studentsLowerListCriterion1'}=join(':::', @lowerStudents1);
640:
641: # Discriminant Factor criterion 2
642: $sortedStudents = &SortDivideByTries($students, $cache, ':totalSolved');
643:
644: for(my $i=0; $i<$upperCount; $i++) {
645: push(@lowerStudents2, $sortedStudents->[$i]);
646: push(@upperStudents2, $sortedStudents->[(scalar(@$students)-$i-1)]);
647: }
648: $problemData{'studentsUpperListCriterion2'}=join(':::', @upperStudents2);
649: $problemData{'studentsLowerListCriterion2'}=join(':::', @lowerStudents2);
650:
1.21 stredwic 651: $problemData{'problemList'} = join(':::', @problemList);
1.19 stredwic 652:
653: return \%problemData;
654: }
655:
1.24 stredwic 656: sub SortDivideByTries {
657: my ($toSort, $data, $sortOn)=@_;
1.37 minaeibi 658: my @orderedData = sort { ($data->{$a.':totalTries'}) ?
1.24 stredwic 659: ($data->{$a.$sortOn}/$data->{$a.':totalTries'}):0
660: <=>
1.34 minaeibi 661: ($data->{$b.':totalTries'}) ?
1.24 stredwic 662: ($data->{$b.$sortOn}/$data->{$b.':totalTries'}):0
663: } @$toSort;
664:
665: return \@orderedData;
666: }
667:
1.19 stredwic 668: sub SortProblems {
1.26 stredwic 669: my ($problemData,$sortBy,$sortProblems,$ascend)=@_;
1.19 stredwic 670:
1.21 stredwic 671: my @problems = split(':::', $problemData->{'problemList'});
1.19 stredwic 672: if($sortBy eq "Homework Sets Order") {
1.21 stredwic 673: return \@problems;
1.19 stredwic 674: }
675:
676: my $data;
677:
678: if ($sortBy eq "#Stdnts") { $data = ':studentCount'; }
679: elsif($sortBy eq "Tries") { $data = ':totalTries'; }
680: elsif($sortBy eq "Mod") { $data = ':maxTries'; }
681: elsif($sortBy eq "Mean") { $data = ':mean'; }
682: elsif($sortBy eq "#YES") { $data = ':correct'; }
683: elsif($sortBy eq "#yes") { $data = ':correctByOverride'; }
684: elsif($sortBy eq "%Wrng") { $data = ':percentWrong'; }
685: elsif($sortBy eq "DoDiff") { $data = ':degreeOfDifficulty'; }
686: elsif($sortBy eq "S.D.") { $data = ':standardDeviation'; }
687: elsif($sortBy eq "Skew.") { $data = ':skewness'; }
1.27 stredwic 688: elsif($sortBy eq "D.F.1st") { $data = ':discriminationFactor1'; }
689: elsif($sortBy eq "D.F.2nd") { $data = ':discriminationFactor2'; }
1.21 stredwic 690: else { return \@problems; }
1.19 stredwic 691:
1.26 stredwic 692: my %temp;
1.27 stredwic 693: my @sequenceList=();
1.26 stredwic 694: foreach(@problems) {
695: my ($sequence) = split(':', $_);
1.27 stredwic 696:
697: my @array=();
698: my $tempArray;
699: if(defined($temp{$sequence})) {
700: $tempArray = $temp{$sequence};
701: } else {
702: push(@sequenceList, $sequence);
703: $tempArray = \@array;
704: $temp{$sequence} = $tempArray;
705: }
706:
707: push(@$tempArray, $_);
1.26 stredwic 708: }
709:
710: my @orderedProblems;
711: if($sortProblems eq "Sort Within Sequence") {
1.27 stredwic 712: foreach(keys(%temp)) {
713: my $tempArray = $temp{$_};
714: my @tempOrder =
715: sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
716: @$tempArray;
717: $temp{$_} = \@tempOrder;
718: }
719: foreach(@sequenceList) {
720: my $tempArray = $temp{$_};
721: @orderedProblems = (@orderedProblems, @$tempArray);
722: }
1.26 stredwic 723: } else {
724: @orderedProblems =
725: sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
726: @problems;
727: }
728:
1.19 stredwic 729: if($ascend eq 'Descending') {
730: @orderedProblems = reverse(@orderedProblems);
731: }
732:
1.21 stredwic 733: return \@orderedProblems;
1.19 stredwic 734: }
735:
736: sub CalculateStatistics {
1.29 stredwic 737: my ($data, $cache, $courseID)=@_;
1.19 stredwic 738:
1.21 stredwic 739: my @problems = split(':::', $data->{'problemList'});
740: foreach(@problems) {
1.19 stredwic 741: # Mean
1.27 stredwic 742: my $mean = ($data->{$_.':studentCount'}) ?
1.19 stredwic 743: ($data->{$_.':totalTries'} / $data->{$_.':studentCount'}) : 0;
1.27 stredwic 744: $data->{$_.':mean'} = sprintf("%.2f", $mean);
1.19 stredwic 745:
746: # %Wrong
1.27 stredwic 747: my $pw = ($data->{$_.':studentCount'}) ?
1.19 stredwic 748: (($data->{$_.':wrong'} / $data->{$_.':studentCount'}) * 100.0) :
749: 100.0;
1.27 stredwic 750: $data->{$_.':percentWrong'} = sprintf("%.1f", $pw);
1.19 stredwic 751:
752: # Degree of Difficulty
1.27 stredwic 753: my $dod = ($data->{$_.':totalTries'}) ?
1.19 stredwic 754: (1 - (($data->{$_.':correct'} + $data->{$_.':correctByOverride'}) /
755: $data->{$_.':totalTries'})) : 0;
756:
1.27 stredwic 757: $data->{$_.':degreeOfDifficulty'} = sprintf("%.2f", $dod);
758:
1.19 stredwic 759: # Factor in mean
1.27 stredwic 760: my @studentTries = split(':::', $data->{$_.':studentTries'});
761: foreach(my $index=0; $index < scalar(@studentTries); $index++) {
762: $studentTries[$index] -= $mean;
1.19 stredwic 763: }
764: my $sumSquared = 0;
765: my $sumCubed = 0;
1.27 stredwic 766: foreach(@studentTries) {
1.19 stredwic 767: my $squared = ($_ * $_);
768: my $cubed = ($squared * $_);
769: $sumSquared += $squared;
770: $sumCubed += $cubed;
771: }
772:
773: # Standard deviation
1.27 stredwic 774: my $standardDeviation;
775: if($data->{$_.':studentCount'} - 1 > 0) {
776: $standardDeviation = (sqrt($sumSquared)) /
777: ($data->{$_.':studentCount'} - 1);
778: } else {
779: $standardDeviation = 0.0;
780: }
781: $data->{$_.':standardDeviation'} = sprintf("%.1f", $standardDeviation);
1.19 stredwic 782:
783: # Skewness
1.27 stredwic 784: my $skew;
785: if($standardDeviation > 0.0999 && $data->{$_.':studentCount'} > 0) {
786: $skew = (((sqrt($sumSquared)) / $data->{$_.':studentCount'}) /
787: ($standardDeviation *
788: $standardDeviation *
789: $standardDeviation));
790: } else {
791: $skew = 0.0;
792: }
793:
794: $data->{$_.':skewness'} = sprintf("%.1f", $skew);
1.19 stredwic 795:
796: # Discrimination Factor 1
1.24 stredwic 797: my ($sequence, $problem, $part) = split(':', $_);
1.19 stredwic 798:
1.24 stredwic 799: my @upper1 = split(':::', $data->{'studentsUpperListCriterion1'});
800: my @lower1 = split(':::', $data->{'studentsLowerListCriterion1'});
1.19 stredwic 801:
1.24 stredwic 802: my $upper1Sum=0;
803: foreach my $name (@upper1) {
804: $upper1Sum += $cache->{"$name:$problem:$part:awarded"};
805: }
1.25 stredwic 806: $upper1Sum = (scalar(@upper1)) ? ($upper1Sum/(scalar(@upper1))) : 0;
1.19 stredwic 807:
1.24 stredwic 808: my $lower1Sum=0;
809: foreach my $name (@lower1) {
810: $lower1Sum += $cache->{"$name:$problem:$part:awarded"};
1.4 minaeibi 811: }
1.25 stredwic 812: $lower1Sum = (scalar(@lower1)) ? ($lower1Sum/(scalar(@lower1))) : 0;
1.4 minaeibi 813:
1.27 stredwic 814: my $df1 = $upper1Sum - $lower1Sum;
815: $data->{$_.':discriminationFactor1'} = sprintf("%.2f", $df1);
1.4 minaeibi 816:
1.24 stredwic 817: # Discrimination Factor 2
818: my @upper2 = split(':::', $data->{'studentsUpperListCriterion2'});
819: my @lower2 = split(':::', $data->{'studentsLowerListCriterion2'});
1.1 stredwic 820:
1.24 stredwic 821: my $upper2Sum=0;
822: foreach my $name (@upper2) {
823: $upper2Sum += $cache->{"$name:$problem:$part:awarded"};
824: }
1.25 stredwic 825: $upper2Sum = (scalar(@upper2)) ? ($upper2Sum/(scalar(@upper2))) : 0;
1.14 minaeibi 826:
1.24 stredwic 827: my $lower2Sum=0;
828: foreach my $name (@lower2) {
829: $lower2Sum += $cache->{"$name:$problem:$part:awarded"};
1.22 stredwic 830: }
1.25 stredwic 831: $lower2Sum = (scalar(@lower2)) ? ($lower2Sum/(scalar(@lower2))) : 0;
1.22 stredwic 832:
1.27 stredwic 833: my $df2 = $upper2Sum - $lower2Sum;
834: $data->{$_.':discriminationFactor2'} = sprintf("%.2f", $df2);
1.29 stredwic 835:
836: my %storestats;
837: my $Average = ($data->{$_.':studentCount'}) ?
838: $data->{$_.':totalTries'}/$data->{$_.':studentCount'} : 0;
839: $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
840: '___timestamp'}=time;
841: $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
842: '___stdno'}=$data->{$_.':studentCount'};
843: $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
844: '___avetries'}=$Average;
845: $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
846: '___difficulty'}=$data->{$_.':degreeOfDifficulty'};
847: $cache->{$sequence.':source'} =~ /^(\w+)\/(\w+)/;
848: if($data->{$_.':studentCount'}) {
1.32 www 849: &Apache::lonnet::put('nohist_resevaldata',\%storestats,$1,$2);
1.29 stredwic 850: }
1.16 minaeibi 851: }
852:
853: return;
1.1 stredwic 854: }
1.24 stredwic 855:
856: #---- END Problem Statistics Web Page ----------------------------------------
1.4 minaeibi 857:
1.1 stredwic 858: 1;
859: __END__
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