--- loncom/interface/statistics/lonproblemstatistics.pm 2002/08/13 15:05:13 1.23 +++ loncom/interface/statistics/lonproblemstatistics.pm 2003/03/25 23:00:40 1.41 @@ -1,7 +1,6 @@ # The LearningOnline Network with CAPA -# (Publication Handler # -# $Id: lonproblemstatistics.pm,v 1.23 2002/08/13 15:05:13 stredwic Exp $ +# $Id: lonproblemstatistics.pm,v 1.41 2003/03/25 23:00:40 matthew Exp $ # # Copyright Michigan State University Board of Trustees # @@ -26,253 +25,577 @@ # http://www.lon-capa.org/ # # (Navigate problems for statistical reports -# YEAR=2001 -# 5/5,7/9,7/25/1,8/11,9/13,9/26,10/5,10/9,10/22,10/26 Behrouz Minaei -# 11/1,11/4,11/16,12/14,12/16,12/18,12/20,12/31 Behrouz Minaei -# YEAR=2002 -# 1/22,2/1,2/6,2/25,3/2,3/6,3/17,3/21,3/22,3/26,4/7,5/6 Behrouz Minaei -# 5/12,5/14,5/15,5/19,5/26,7/16,7/25,7/29,8/5 Behrouz Minaei # ### -package Apache::lonproblemstatistics; +package Apache::lonproblemstatistics; use strict; use Apache::lonnet(); use Apache::lonhtmlcommon; use Apache::loncoursedata; -use GDBM_File; +use Apache::lonstatistics; -my $jr; +####################################################### +####################################################### -sub BuildProblemStatisticsPage { - my ($cacheDB, $students, $courseID, $c, $r)=@_; - my %cache; +sub CreateInterface { + my $Str = ''; + $Str .= ''."\n"; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''."\n"; + # + $Str .= ''."\n"; + $Str .= '
SectionsSequences and FoldersOutput
'."\n"; + $Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5); + $Str .= ''; + # + my $only_seq_with_assessments = sub { + my $s=shift; + if ($s->{'num_assess'} < 1) { + return 0; + } else { + return 1; + } + }; + $Str .= &Apache::lonstatistics::MapSelect('Maps','multiple,all',5, + $only_seq_with_assessments); + $Str .= ''."\n"; + $Str .= &CreateAndParseOutputSelector(); + $Str .= '
'."\n"; + return $Str; +} - $jr = $r; +####################################################### +####################################################### - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.'); - return; +=pod + +=item &CreateAndParseOutputSelector() + +=cut + +####################################################### +####################################################### +my $output_mode; +my $show; + +my @OutputOptions = + ( + { name => 'problem statistics grouped by sequence', + value => 'HTML problem statistics grouped', + description => 'Output statistics for the problem parts.', + mode => 'html', + show => 'grouped', + }, + { name => 'problem statistics ungrouped', + value => 'HTML problem statistics ungrouped', + description => 'Output statistics for the problem parts.', + mode => 'html', + show => 'ungrouped', + }, + { name => 'problem statistics, Excel', + value => 'Excel problem statistics', + description => 'Output statistics for the problem parts '. + 'in an Excel workbook', + mode => 'excel', + show => 'all', + }, + { name => 'Degree of Difficulty Plot', + value => 'plot deg diff', + description => 'Generate a plot of the degree of difficulty of each '. + 'problem part.', + mode => 'plot', + show => 'deg of diff', + }, + { name => 'Percent Wrong Plot', + value => 'plot per wrong', + description => 'Generate a plot showing the percent of students who '. + 'were unable to complete each problem part', + mode => 'plot', + show => 'per wrong', + }, + ); + +sub OutputDescriptions { + my $Str = ''; + $Str .= "

Output Modes

\n"; + $Str .= "
\n"; + foreach my $outputmode (@OutputOptions) { + $Str .="
".$outputmode->{'name'}."
\n"; + $Str .="
".$outputmode->{'description'}."
\n"; + } + $Str .= "
\n"; + return $Str; +} + +sub CreateAndParseOutputSelector { + my $Str = ''; + my $elementname = 'outputmode'; + # + # Format for output options is 'mode, restrictions'; + my $selected = 'html, with links'; + if (exists($ENV{'form.'.$elementname})) { + if (ref($ENV{'form.'.$elementname} eq 'ARRAY')) { + $selected = $ENV{'form.'.$elementname}->[0]; + } else { + $selected = $ENV{'form.'.$elementname}; + } + } + # + # Set package variables describing output mode + $output_mode = 'html'; + $show = 'all'; + foreach my $option (@OutputOptions) { + next if ($option->{'value'} ne $selected); + $output_mode = $option->{'mode'}; + $show = $option->{'show'}; + } + # + # Build the form element + $Str = qq/"; + return $Str; +} - my $Ptr = ''; - $Ptr .= ''; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= &ProblemStatisticsButtons($cache{'DisplayFormat'}, - $cache{'DisplayLegend'}); - $Ptr .= '
Select Map'; - $Ptr .= &Apache::lonhtmlcommon::MapOptions(\%cache, 'ProblemStatistics', - 'Statistics'); - $Ptr .= '
Sorting Type:'."\n"; - $Ptr .= &Apache::lonhtmlcommon::AscendOrderOptions( - $cache{'ProblemStatisticsAscend'}, - 'ProblemStatistics', - 'Statistics'); - $Ptr .= '
'; - if($cache{'DisplayLegend'} eq 'Show Legend') { - $Ptr .= &ProblemStatisticsLegend(); +############################################### +############################################### + +############################################### +############################################### +sub Gather_Student_Data { + my ($r) = @_; + my $c = $r->connection(); + # + my @Sequences = &Apache::lonstatistics::Sequences_with_Assess(); + # + my @Students = @Apache::lonstatistics::Students; + # + # Open the progress window + my %prog_state=&Apache::lonhtmlcommon::Create_PrgWin + ($r,'Statistics Compilation Status', + 'Statistics Compilation Progress', scalar(@Students)); + # + while (my $student = shift @Students) { + return if ($c->aborted()); + my ($status,undef) = &Apache::loncoursedata::ensure_current_data + ($student->{'username'},$student->{'domain'}, + $ENV{'request.course.id'}); + &Apache::lonhtmlcommon::Increment_PrgWin($r,\%prog_state, + 'last student'); } - $r->print($Ptr); + &Apache::lonhtmlcommon::Close_PrgWin($r,\%prog_state); $r->rflush(); +} + +############################################### +############################################### - my @Header = ("Homework Sets Order","#Stdnts","Tries","Mod", +############################################### +############################################### +sub BuildProblemStatisticsPage { + my ($r,$c)=@_; + # + $output_mode = 'html'; + $show = 'grouped'; + # + $r->print(&CreateInterface()); + $r->print(''); + $r->print(''); + if (! exists($ENV{'form.statsfirstcall'})) { + return; + } + # + &Gather_Student_Data($r); + # + # + if ($output_mode eq 'html') { + $r->print("

". + $ENV{'course.'.$ENV{'request.course.id'}.'.description'}. + "

\n"); + $r->print("

".localtime(time)."

"); + $r->rflush(); + if ($show eq 'grouped') { + &output_html_grouped_by_sequence($r); + } elsif ($show eq 'ungrouped') { + &output_html_ungrouped($r); + } + } else { + $r->print("

Not implemented

"); + } + return; +} + +sub output_html_grouped_by_sequence { + my ($r) = @_; + #$r->print(&ProblemStatisticsLegend()); + my @Header = ("Title","Part","#Stdnts","Tries","Mod", "Mean","#YES","#yes","%Wrng","DoDiff", - "S.D.","Skew.","D.F.1st","D.F.2nd","Disc."); - my $color=&setbgcolor(0); + "S.D.","Skew.");#,"D.F.1st","D.F.2nd"); + # #FFFFE6 #EEFFCC #DDFFFF FFDDDD #DDFFDD #FFDDFF + foreach my $sequence (&Apache::lonstatistics::Sequences_with_Assess()) { + next if ($sequence->{'num_assess'}<1); + $r->print("

".$sequence->{'title'}."

"); + $r->print('
'."\n"); + $r->print(''."\n"); + $r->print('\n"); + foreach my $resource (@{$sequence->{'contents'}}) { + next if ($resource->{'type'} ne 'assessment'); + foreach my $part (@{$resource->{'parts'}}) { + if ($part == 0) { + $part = ' '; + } + my ($num,$tries,$mod,$mean,$Solved,$solved,$DegOfDiff,$STD, + $SKEW) = &Apache::loncoursedata::get_problem_statistics + (undef,$resource->{'symb'},$part, + $ENV{'request.course.id'}); + my $wrongpercent = 0; + if (defined($num) && $num > 0) { + $wrongpercent=int(10*100*($num-$Solved+$solved)/$num)/10; + } + $r->print(''.&statistics_html_table_data + ($resource,$part,$num,$tries,$mod,$mean,$Solved, + $solved,$wrongpercent,$DegOfDiff,$STD,$SKEW). + "\n"); + } + } + $r->print("
'. + join("",@Header)."
\n"); + $r->print("
\n"); + $r->rflush(); + } + # + return; +} -# my %Discuss=&Apache::loncoursedata::LoadDiscussion($courseID); -# my ($upper, $lower) = &Discriminant(\%discriminant,$r); - if(!defined($cache{'StatisticsCached'})) { - untie(%cache); - &Apache::loncoursedata::DownloadStudentCourseDataSeparate($students, - 'true', - $cacheDB, - 'true', - 'true', - $courseID, - $r, $c); - if($c->aborted()) { return; } - - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.'); - return; - } - my ($problemData) = &ExtractStudentData(\%cache, $students); - &CalculateStatistics($problemData); - untie(%cache); - - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_WRCREAT(),0640)) { - $r->print('Unable to tie database.'); - return; - } - foreach(keys(%$problemData)) { - $cache{$_} = $problemData->{$_}; - } - $cache{'StatisticsCached'} = 'true'; - untie(%cache); - - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.'); - return; - } - } - my $orderedProblems = &SortProblems(\%cache, - $cache{'ProblemStatisticsSort'}, - $cache{'ProblemStatisticsAscend'}); - &BuildStatisticsTable(\%cache, $cache{'DisplayFormat'}, $orderedProblems, - \@Header, $r, $color); - untie(%cache); +############################################### +############################################### + +############################################### +############################################### +sub output_html_ungrouped { + my ($r) = @_; + # + my $sortby = $ENV{'form.sortby'}; + if (! defined($sortby) || $sortby eq '') { + $sortby = 'sequence'; + } + # + my $show_container = 0; + #$r->print(&ProblemStatisticsLegend()); + my @Header = ("Title","Part","#Stdnts","Tries","Mod", + "Mean","#YES","#yes","%Wrng","DoDiff", + "S.D.","Skew.");#,"D.F.1st","D.F.2nd"); + # #FFFFE6 #EEFFCC #DDFFFF FFDDDD #DDFFDD #FFDDFF + my @Sequences = &Apache::lonstatistics::Sequences_with_Assess(); + if (@Sequences > 1) { + unshift(@Header,"Container"); + $show_container = 1; + } + # + $r->print('
'."\n"); + $r->print(''."\n"); + my $Str = ''; + foreach (@Header) { + $Str .= ''; + } + $r->print(''.$Str."\n"); + $r->rflush(); + # + foreach my $sequence (@Sequences) { + next if ($sequence->{'num_assess'}<1); + foreach my $resource (@{$sequence->{'contents'}}) { + next if ($resource->{'type'} ne 'assessment'); + foreach my $part (@{$resource->{'parts'}}) { + my ($num,$tries,$mod,$mean,$Solved,$solved,$DegOfDiff,$STD, + $SKEW) = &Apache::loncoursedata::get_problem_statistics + (undef,$resource->{'symb'},$part, + $ENV{'request.course.id'}); + if ($part == 0) { + $part = ' '; + } + my $wrongpercent = 0; + if (defined($num) && $num > 0) { + $wrongpercent=int(10*100*($num-$Solved+$solved)/$num)/10; + } + if ($show_container) { + $r->print(''. + ''. + &statistics_html_table_data + ($resource,$part,$num,$tries,$mod,$mean,$Solved, + $solved,$wrongpercent,$DegOfDiff,$STD,$SKEW). + "\n"); + } else { + $r->print(''.&statistics_html_table_data + ($resource,$part,$num,$tries,$mod,$mean,$Solved, + $solved,$wrongpercent,$DegOfDiff,$STD,$SKEW). + "\n"); + } + } + } + } + $r->print("
'. + ''. + $_.'
'.$sequence->{'title'}. + '
\n"); + $r->print("
\n"); + $r->rflush(); + # return; } +############################################### +############################################### -#---- Problem Statistics Web Page --------------------------------------- +############################################### +############################################### +sub statistics_html_table_data { + my ($resource,$part,$num,$tries,$mod,$mean,$Solved,$solved,$wrongpercent, + $DegOfDiff,$STD,$SKEW) = @_; + my $row = ''; + $row .= ''. + ''. + $resource->{'title'}.''. + ''; + $row .= ''.$part.'' if (defined($part)); + foreach ($num,$tries) { + $row .= ''.$_.''; + } + foreach ($mod,$mean) { + $row .= ''. + sprintf("%5.2f",$_).''; + } + foreach ($Solved,$solved) { + $row .= ''.$_.''; + } + foreach ($wrongpercent) { + $row .= ''. + sprintf("%5.1f",$_).''; + } + foreach ($DegOfDiff,$STD,$SKEW) { + $row .= ''. + sprintf("%5.2f",$_).''; + } + return $row; +} + + +############################################### +############################################### + +sub BuildGraphicChart { + my ($graph,$cacheDB,$courseDescription,$students,$courseID,$r,$c)=@_; + my %cache; + my $max; + my $title = ''; + if($graph eq 'DoDiffGraph') { + $title = 'Degree-of-Difficulty'; + } else { + $title = 'Wrong-Percentage'; + } + my $currentSequence = -1; + my $sortProblems = 'Sort Within Sequence'; + my ($result, $orderedProblems) = + &InitializeProblemStatistics($cacheDB, $students, $courseID, $c, $r); + if($result ne 'OK') { + return; + } + my @values = (); + unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { + return 'Unable to tie database.7'; + } + foreach(@$orderedProblems) { + my ($sequence,$problem,$part)=split(':', $_); + if($cache{'StatisticsMaps'} ne 'All Maps' && + $cache{'StatisticsMaps'} ne $cache{$sequence.':title'}) { + next; + } + if( $currentSequence == -1 || + ($sortProblems eq 'Sort Within Sequence' && + $currentSequence != $sequence)) { + if($currentSequence != -1) { + &DrawGraph(\@values,$courseDescription,$title,$max,$r); + } + if($sortProblems eq 'Sort Within Sequence') { + $r->print('
'.$cache{$sequence.':title'}.''."\n"); + } + $currentSequence = $sequence; + @values = (); + $max=0; + } + my $data = 0; + if($graph eq 'DoDiffGraph') { + $data = sprintf("%.2f", $cache{$_.':degreeOfDifficulty'}), + } else { + $data = sprintf("%.1f", $cache{$_.':percentWrong'}), + } + if($max < $data) { + $max = $data; + } + push(@values, $data); + } + untie(%cache); + &DrawGraph(\@values,$courseDescription,$title,$max,$r); + return; +} + +sub DrawGraph { + my ($values,$courseDescription,$title,$Max,$r)=@_; + my $sendValues = join(',', @$values); + my $sendCount = scalar(@$values); + $r->print("
The Maximum Value is: $Max"); + if ( $Max > 1 ) { + if ($Max % 10) { + if ( int($Max) < $Max ) { + $Max++; + $Max = int($Max); + } + } + #(10 - $Max % 10); + } else { $Max = 1; } + my @GData = ('','Problem_number',$title,$Max,$sendCount,$sendValues); +# $r->print(''."\n"); + $r->print('
'."\n"); + $r->print(''); +# $r->print('
'."\n"); + $r->print('
'."\n"); +} +#---- Problem Statistics Web Page --------------------------------------- sub CreateProblemStatisticsTableHeading { my ($headings,$r)=@_; - my $Str=''; $Str .= ''."\n"; $Str .= 'P#'."\n"; foreach(@$headings) { - $Str .= ''.''; + $Str .= ''.$_.' '."\n"; } - $Str .= "\n".''."\n"; - + $Str .= "\n".''."\n"; return $Str; } sub BuildStatisticsTable { - my ($cache,$displayFormat,$orderedProblems,$headings,$r,$color)=@_; - -#6666666 -# my $file="/home/httpd/perl/tmp/183d.txt"; -# open(OUT, ">$file"); -#6666666 -## &Apache::lonstatistics::Create_PrgWin($r); -##777777 -## my (%Activity) = &LoadActivityLog(); -## $r->print(''); -## my ($doDiffFile) = &LoadDoDiffFile(); - -##777777 -## $Str .= &Classify($discriminantFactor, $students); - - if($displayFormat ne 'Display CSV Format') { - $r->print('
'."\n"); - $r->print(''."\n"); - $r->print(&CreateProblemStatisticsTableHeading($headings, $r)); - } else { - $r->print('
'); - } - + my ($cache,$displayFormat,$sortProblems,$orderedProblems,$headings, + $r,$color)=@_; my $count = 1; + my $currentSequence = -1; foreach(@$orderedProblems) { my ($sequence,$problem,$part)=split(':', $_); - if($cache->{'ProblemStatisticsMaps'} ne 'All Maps' && - $cache->{'ProblemStatisticsMaps'} ne $cache->{$sequence.':title'}) { + if($cache->{'StatisticsMaps'} ne 'All Maps' && + $cache->{'StatisticsMaps'} ne $cache->{$sequence.':title'}) { next; } - + if($currentSequence == -1 || + ($sortProblems eq 'Sort Within Sequence' && + $currentSequence != $sequence)) { + if($displayFormat ne 'Display CSV Format') { + if($currentSequence ne -1) { + $r->print('
'); + $r->print('

'); + } + if($sortProblems eq 'Sort Within Sequence') { + $r->print(''.$cache->{$sequence.':title'}.''); + } + $r->print('
'."\n"); + $r->print(''."\n"); + $r->print(&CreateProblemStatisticsTableHeading($headings, $r)); + } else { + if($sortProblems eq 'Sort Within Sequence') { + $r->print('"'.$cache->{$sequence.':title'}.'"'); + } + $r->print('
'); + } + $currentSequence = $sequence; + } my $ref = ''.$cache->{$problem.':title'}.''; -# my $ref = $cache->{$problem.':title'}; my $title = $cache->{$problem.':title'}; - my $source = 'source'; + if($part != 0) { + $title .= ' Part '.$part; + } + my $source = $cache->{$problem.':source'}; my $tableData = join('&', $ref, $title, $source, $cache->{$_.':studentCount'}, $cache->{$_.':totalTries'}, $cache->{$_.':maxTries'}, - sprintf("%.2f", $cache->{$_.':mean'}), + $cache->{$_.':mean'}, $cache->{$_.':correct'}, $cache->{$_.':correctByOverride'}, - sprintf("%.1f", $cache->{$_.':percentWrong'}), - sprintf("%.2f", $cache->{$_.':degreeOfDifficulty'}), - sprintf("%.1f", $cache->{$_.':standardDeviation'}), - sprintf("%.1f", $cache->{$_.':skewness'}), - sprintf("%.2f", $cache->{$_.':discriminationFactor1'}), - sprintf("%.2f", $cache->{$_.':discriminationFactor2'}), - 0); # 0 is for discussion, need to figure out - -#6666666 -# $r->print('
'.$out.'&'.$DoD); -# print (OUT $out.'@'.$DoD.'&'); -#6666666 - -#check with Gerd -# $urlres=~/^(\w+)\/(\w+)/; -# if ($StdNo) { -# &Apache::lonnet::put('nohist_resevaldata',\%storestats, -# $1,$2); -# } -#-------------------------------- Row of statistical table + $cache->{$_.':percentWrong'}, + $cache->{$_.':degreeOfDifficulty'}, + $cache->{$_.':standardDeviation'}, + $cache->{$_.':skewness'}, + $cache->{$_.':discriminationFactor1'}, + $cache->{$_.':discriminationFactor2'}); &TableRow($displayFormat,$tableData,$count,$r,$color); $count++; } - if($cache->{'DisplayFormat'} ne 'Display CSV Format') { + if($displayFormat ne 'Display CSV Format') { $r->print('
'."\n"); + $r->print('
'); + } else { + $r->print('
'); } - $r->print(''); -#6666666 -# close( OUT ); -#666666 return; } sub TableRow { my ($displayFormat,$Str,$RealIdx,$r,$color)=@_; my($ref,$title,$source,$StdNo,$TotalTries,$MxTries,$Avg,$YES,$Override, - $Wrng,$DoD,$SD,$Sk,$_D1,$_D2,$DiscNo,$Prob)=split(/\&/,$Str); + $Wrng,$DoD,$SD,$Sk,$_D1,$_D2)=split(/\&/,$Str); my $Ptr; if($displayFormat eq 'Display CSV Format') { - $Ptr="\n".'
'. - "\n".'"'.$RealIdx.'",'. - "\n".'"'.$title.'",'. - "\n".'"'.$source.'",'. - "\n".'"'.$StdNo.'",'. - "\n".'"'.$TotalTries.'",'. - "\n".'"'.$MxTries.'",'. - "\n".'"'.$Avg.'",'. - "\n".'"'.$YES.'",'. - "\n".'"'.$Override.'",'. - "\n".'"'.$Wrng.'",'. - "\n".'"'.$DoD.'",'. - "\n".'"'.$SD.'",'. - "\n".'"'.$Sk.'",'. - "\n".'"'.$_D1.'",'. - "\n".'"'.$_D2.'"'. - "\n".'"'.$DiscNo.'"'; - + $Ptr='"'.$RealIdx.'",'."\n". + '"'.$title.'",'."\n". + '"'.$source.'",'."\n". + '"'.$StdNo.'",'."\n". + '"'.$TotalTries.'",'."\n". + '"'.$MxTries.'",'."\n". + '"'.$Avg.'",'."\n". + '"'.$YES.'",'."\n". + '"'.$Override.'",'."\n". + '"'.$Wrng.'",'."\n". + '"'.$DoD.'",'."\n". + '"'.$SD.'",'."\n". + '"'.$Sk.'",'."\n". + '"'.$_D1.'",'."\n". + '"'.$_D2.'"'."\n". + "
\n"; $r->print("\n".$Ptr); } else { - $Ptr="\n".''. - "\n".''.$RealIdx.''. - "\n".''.$ref.''. - "\n".' '.$StdNo.''. - "\n".''.$TotalTries.''. - "\n".''.$MxTries.''. - "\n".''.$Avg.''. - "\n".' '.$YES.''. - "\n".' '.$Override.''. - "\n".' '.$Wrng.''. - "\n".' '.$DoD.''. - "\n".' '.$SD.''. - "\n".' '.$Sk.''. - "\n".' '.$_D1.''. - "\n".' '.$_D2.''. - "\n".' '.$DiscNo.''; - $r->print("\n".$Ptr.'' ); + $Ptr=''."\n". + ''.$RealIdx.''."\n". + ''.$ref.''."\n". + ' '.$StdNo.''."\n". + ''.$TotalTries.''."\n". + ''.$MxTries.''."\n". + ''.$Avg.''."\n". + ' '.$YES.''."\n". + ' '.$Override.''."\n". + ' '.$Wrng.''."\n". + ' '.$DoD.''."\n". + ' '.$SD.''."\n". + ' '.$Sk.''."\n". + ' '.$_D1.''."\n". + ' '.$_D2.''."\n"; + $r->print($Ptr.''."\n"); } - return; } @@ -293,27 +616,32 @@ sub setbgcolor { $color{"green"}="#DDFFDD"; $color{"purple"}="#FFDDFF"; } - return \%color; } sub ProblemStatisticsButtons { - my ($displayFormat, $displayLegend)=@_; - + my ($displayFormat, $displayLegend, $sortProblems)=@_; my $Ptr = ''; $Ptr .= '{'orderedSequences'})) { - foreach my $problemID (split(':', $cache->{$sequence.':problems'})) { - foreach my $part (split(/\:/,$cache->{$sequence.':'. - $problemID. - ':parts'})) { - my $id = $sequence.':'.$problemID.':'.$part; - push(@problemList, $id); - my $totalTries = 0; - my $totalAwarded = 0; - my $correct = 0; - my $correctByOverride = 0; - my $studentCount = 0; - my $maxTries = 0; - my $totalFirst = 0; - my @studentTries=(); - foreach(@$students) { - my $code = $cache->{"$_:$problemID:$part:code"}; - - if(defined($cache->{$_.':error'}) || $code eq ' ' || - $cache->{"$_:$problemID:NoVersion"} eq 'true') { - next; - } - - $studentCount++; - my $tries = $cache->{"$_:$problemID:$part:tries"}; - if($maxTries < $tries) { - $maxTries = $tries; - } - $totalTries += $tries; - push(@studentTries, $tries); - - my $awarded = $cache->{"$_:$problemID:$part:awarded"}; - $totalAwarded += $awarded; - - if($code eq '*') { - $correct++; - if($tries == 1) { - $totalFirst++; - } - } elsif($code eq '+') { - $correctByOverride++; - } - } - - $problemData{$id.':sequenceTitle'} = - $cache->{$sequence.':title'}; - $problemData{$id.':studentCount'} = $studentCount; - $problemData{$id.':totalTries'} = $totalTries; - $problemData{$id.':studentTries'} = \@studentTries; - $problemData{$id.':totalAwarded'} = $totalAwarded; - $problemData{$id.':correct'} = $correct; - $problemData{$id.':correctByOverride'} = $correctByOverride; - $problemData{$id.':wrong'} = $studentCount - - ($correct + $correctByOverride); - $problemData{$id.':maxTries'} = $maxTries; - $problemData{$id.':totalFirst'} = $totalFirst; - } - } - } - - $problemData{'problemList'} = join(':::', @problemList); -# $Discussed=0; -# if($Discuss->{"$name:$problem"}) { -# $TotDiscuss++; -# $Discussed=1; -# } - - return \%problemData; -} - -sub SortProblems { - my ($problemData,$sortBy,$ascend)=@_; - - my @problems = split(':::', $problemData->{'problemList'}); - if($sortBy eq "Homework Sets Order") { - return \@problems; - } - - my $data; - - if ($sortBy eq "#Stdnts") { $data = ':studentCount'; } - elsif($sortBy eq "Tries") { $data = ':totalTries'; } - elsif($sortBy eq "Mod") { $data = ':maxTries'; } - elsif($sortBy eq "Mean") { $data = ':mean'; } - elsif($sortBy eq "#YES") { $data = ':correct'; } - elsif($sortBy eq "#yes") { $data = ':correctByOverride'; } - elsif($sortBy eq "%Wrng") { $data = ':percentWrong'; } - elsif($sortBy eq "DoDiff") { $data = ':degreeOfDifficulty'; } - elsif($sortBy eq "S.D.") { $data = ':standardDeviation'; } - elsif($sortBy eq "Skew.") { $data = ':skewness'; } - elsif($sortBy eq "D.F.1st") { $data = ':discriminantFactor1'; } - elsif($sortBy eq "D.F.2nd") { $data = ':discriminantFactor2'; } - elsif($sortBy eq "Disc.") { $data = ''; } - else { return \@problems; } - - my @orderedProblems = - sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} } - @problems; - if($ascend eq 'Descending') { - @orderedProblems = reverse(@orderedProblems); - } - - return \@orderedProblems; -} - -sub CalculateStatistics { - my ($data)=@_; - - my @problems = split(':::', $data->{'problemList'}); - foreach(@problems) { - # Mean - $data->{$_.':mean'} = ($data->{$_.':studentCount'}) ? - ($data->{$_.':totalTries'} / $data->{$_.':studentCount'}) : 0; - - # %Wrong - $data->{$_.':percentWrong'} = ($data->{$_.':studentCount'}) ? - (($data->{$_.':wrong'} / $data->{$_.':studentCount'}) * 100.0) : - 100.0; - - # Degree of Difficulty - $data->{$_.':degreeOfDifficulty'} = ($data->{$_.':totalTries'}) ? - (1 - (($data->{$_.':correct'} + $data->{$_.':correctByOverride'}) / - $data->{$_.':totalTries'})) : 0; - - # Factor in mean - my $studentTries = $data->{$_.':studentTries'}; - foreach(my $index=0; $index < scalar(@$studentTries); $index++) { - $studentTries->[$index] -= $data->{$_.':mean'}; - } - my $sumSquared = 0; - my $sumCubed = 0; - foreach(@$studentTries) { - my $squared = ($_ * $_); - my $cubed = ($squared * $_); - $sumSquared += $squared; - $sumCubed += $cubed; - } - - # Standard deviation - $data->{$_.':standardDeviation'} = ($data->{$_.':studentCount'} - 1) ? - ((sqrt($sumSquared)) / ($data->{$_.':studentCount'} - 1)) : 0; - - # Skewness - my $standardDeviation = $data->{$_.':standardDeviation'}; - $data->{$_.':skewness'} = ($data->{$_.':standardDeviation'}) ? - (((sqrt($sumSquared)) / $data->{$_.':studentCount'}) / - ($standardDeviation * $standardDeviation * $standardDeviation)) : - 0; - - # Discrimination Factor 1 - $data->{$_.':discriminationFactor1'} = 0; - - # Discrimination Factor 2 - $data->{$_.':discriminationFactor2'} = 0; - } - - return; -} - -sub ProcessDiscriminant { - my ($List) = @_; - my @sortedList = sort (@$List); - my $Count = scalar @sortedList; - my $Problem; - my @Dis; - my $Slvd=0; - my $tmp; - my $Sum1=0; - my $Sum2=0; - my $nIndex=0; - my $nStudent=0; - my %Proc=undef; - while ($nIndex<$Count) { -# $jr->print("
$nIndex) $sortedList[$nIndex]"); - ($Problem,$tmp)=split(/\=/,$sortedList[$nIndex]); - @Dis=split(/\+/,$tmp); - my $Temp = $Problem; - do { - $nIndex++; - $nStudent++; - $Sum1 += $Dis[0]; - $Sum2 += $Dis[1]; - ($Problem,$tmp)=split(/\=/,$sortedList[$nIndex]); - @Dis=split(/\+/,$tmp); - } while ( $Problem eq $Temp && $nIndex < $Count ); - $Proc{$Temp}=($Sum1/$nStudent).':'.($Sum2/$nStudent); -# $jr->print("
$nIndex) $Temp --> ($nStudent) $Proc{$Temp}"); - $Sum1=0; - $Sum2=0; - $nStudent=0; - } - - return %Proc; -} - -#------- Creating Discimination factor -sub Discriminant { - my ($discriminant)=@_; - my @discriminantKeys=keys(%$discriminant); - my $Count = scalar @discriminantKeys; - - my $UpCnt = int(0.27*$Count); - my $low=0; - my $up=$Count-$UpCnt; - my @UpList=(); - my @LowList=(); - - $Count=0; - foreach my $key (sort(@discriminantKeys)) { - $Count++; - if($low < $UpCnt || $Count > $up) { - $low++; - my $str=$discriminant->{$key}; - foreach(split(/\&/,$str)){ - if($_) { - if($low<$UpCnt) { push(@LowList,$_); } - else { push(@UpList,$_); } - } - } - } - } - my %DisUp = &ProcessDiscriminant(\@UpList); - my %DisLow = &ProcessDiscriminant(\@LowList); - - return (\%DisUp, \%DisLow); -} - #---- END Problem Statistics Web Page ---------------------------------------- -#---- Problem Statistics Graph Web Page -------------------------------------- - -# ------------------------------------------- Prepare data for Graphical chart - -sub BuildGraphicChart { - my ($graph,$cacheDB,$courseDescription,$r)=@_; - my %cache; - my $max = 0; - - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - return 'Unable to tie database.'; - } - - my @problems = split(':::', $cache{'problemList'}); - my @values = (); - foreach (@problems) { - my $data = 0; - if($graph eq 'DoDiffGraph') { - $data = sprintf("%.2f", $cache{$_.':degreeOfDifficulty'}), - } else { - $data = sprintf("%.1f", $cache{$_.':percentWrong'}), - } - if($max < $data) { - $max = $data; - } - push(@values, $data); - } - untie(%cache); - - my $sendValues = join(',', @values); -# my $sendCount = $#values; - my $sendCount = scalar(@values); - - my $title = ''; - if($graph eq 'DoDiffGraph') { - $title = 'Degree-of-Difficulty'; - } else { - $title = 'Wrong-Percentage'; - } - my @GData = ($courseDescription, 'Problems', $title, $max, $sendCount, - $sendValues); - - $r->print('
'."\n"); - $r->print(''); - $r->print('
'."\n"); - - return; -} - 1; __END__