Computation Progress
'+ - ''+ - ''); - popwin.document.close(); - -ENDPOP - - $r->rflush(); + &compute_all_statistics($r); + $r->print(&html_preamble()); + &sort_data($ENV{'form.sortby'}); + # + my $count=0; + foreach my $data (@StatsArray) { + if ($count++ % 50 == 0) { + $r->print("\n\n"); + $r->print('| '."\n".
+ ' |
". + $ENV{'course.'.$ENV{'request.course.id'}.'.description'}. + "
\n"; + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + if (defined($starttime) || defined($endtime)) { + # Inform the user what the time limits on the data are. + $Str .= ''.&mt('Statistics on submissions from [_1] to [_2]', + &Apache::lonlocal::locallocaltime($starttime), + &Apache::lonlocal::locallocaltime($endtime) + ).'
'; + } + $Str .= "".&mt('Compiled on [_1]', + &Apache::lonlocal::locallocaltime(time))."
"; + return $Str; } - -# ------ Dump the Student's DB file and handling the data for statistics table -sub ExtractStudentData { - my ($cache,$name,$list,$Discuss,$r,$discriminant)=@_; - my $totalTries = 0; - my $totalAwarded = 0; - my $spent=0; - my $spent_yes=0; - my $TotDiscuss=0; - my $TotalOpend = 0; - my $ProbSolved = 0; - my $ProbTot = 0; - my $TotFirst = 0; - my $TimeTot = 0; - my $Discussed=0; - my $discrim=''; - my $tempSequenceOrder=100; - -#$Apache::lonxml::debug=1; -#&Apache::lonhomework::showhash(%$cache); -#$Apache::lonxml::debug=0; - - foreach my $sequence (split(':', $cache->{'orderedSequences'})) { - my $tempProblemOrder=100; - if($cache->{'ProblemStatisticsMaps'} ne 'All Maps' && - $cache->{'ProblemStatisticsMaps'} ne $cache->{$sequence.':title'}) { - next; - } - $tempSequenceOrder++; - foreach my $problemID (split(':', $cache->{$sequence.':problems'})) { - my $problem = $cache->{$problemID.':problem'}; - my $LatestVersion = $cache->{$name.':version:'.$problem}; - # Output dashes for all the parts of this problem if there - # is no version information about the current problem. - #if(!$LatestVersion) { - # foreach my $part (split(/\:/,$cache->{$sequence.':'. - # $problemID. - # ':parts'})) { - # $codes .= "-,"; - # $attempts .= "0,"; - # } - # next; - #} - - my %partData=undef; - $partData{'count'}=0; - # Initialize part data, display skips correctly - # Skip refers to when a student made no submissions on that - # part/problem. - foreach my $part (split(/\:/,$cache->{$sequence.':'. - $problemID. - ':parts'})) { - $tempProblemOrder++; - $partData{'count'}++; - $partData{$part.':order'}=$tempProblemOrder; - $partData{$part.':tries'}=0; - $partData{$part.':code'}='-'; +############################################### +############################################### +## +## Misc HTML output routines +## +############################################### +############################################### +sub statistics_html_table_data { + my ($data,$options) = @_; + my $row = ''; + foreach my $field (@Fields) { + next if ($options =~ /no $field->{'name'}/); + $row .= ''.$name.'---'.$ptr.'==='.$DoDiff); - - my $Fac = ($partData{$_.':tries'}) ? - ($partData{$_.':awarded'}/$partData{$_.':tries'}) : 0; - my $DisF; - if($Fac > 0 && $Fac < 1) { - $DisF = sprintf( "%.4f", $Fac ); - } else { - $DisF = $Fac; - } - - if ($Discuss->{"$name:$problem"}) { - $TotDiscuss++; - $Discussed=1; - } - my $time = $cache->{"$name:$LatestVersion:$problem:timestamp"}; - $discrim .= $tempSequenceOrder.'@'.$pOrder.'='.$DisF.'+'.$Yes; - $ptr .= '&'.$partData{$_.':tries'}. - '&'.$partData{$_.':wrong'}. - '&'.$partData{$_.':code'}; - push (@$list, $ptr."&$Discussed"); -# $r->print('
'.$_.$name.'---'.$ptr); - -#### if ($DoDiff>0.85) { - - $TimeTot += $time; +sub statistics_table_header { + my ($options) = @_; + my $header_row; + foreach my $field (@Fields) { + next if ($options =~ /no $field->{'name'}/); + $header_row .= '
'.$name.'---'.$problem.'---'.$spe); -# } - $TotalOpend++; - $ProbTot++; +#################################################### +#################################################### +## +## Plotting Routines +## +#################################################### +#################################################### +sub make_plot { + my ($r,$plot) = @_; + &compute_all_statistics($r); + &sort_data($ENV{'form.sortby'}); + if ($plot eq 'degrees') { + °rees_plot($r); + } elsif ($plot eq 'tries statistics') { + &tries_data_plot($r); + } else { + &make_single_stat_plot($r,$plot); + } + return; +} - $tempProblemOrder++; - } +sub make_single_stat_plot { + my ($r,$datafield) = @_; + # + my $title; my $yaxis; + foreach my $field (@Fields) { + next if ($field->{'name'} ne $datafield); + $title = $field->{'long_title'}; + $yaxis = $field->{'title'}; + last; + } + if ($title eq '' || $yaxis eq '') { + # datafield is something we do not know enough about to plot + $r->print('
'. + &mt('Unable to plot the requested statistic.'). + '
'); + return; + } + # + # Build up the data sets to plot + my @Labels; + my @Data; + my $max = 1; + foreach my $data (@StatsArray) { + push(@Labels,$data->{'problem_num'}); + push(@Data,$data->{$datafield}); + if ($data->{$datafield}>$max) { + $max = $data->{$datafield}; + } + } + foreach (1,2,3,4,5,10,15,20,25,40,50,75,100,150,200,250,300,500,600,750, + 1000,1500,2000,2500,3000,3500,4000,5000,7500,10000,15000,20000) { + if ($max <= $_) { + $max = $_; + last; } } - my $pstr; - if($totalTries) { - my $DisFac = ($totalAwarded/$totalTries); - my $DisFactor = sprintf( "%.4f", $DisFac ); - my $TS = sprintf( "%.2f", $spent ); - my $TS_yes = sprintf( "%.2f", $spent_yes ); - $pstr=$DisFactor.':'.$name.':'.$ProbTot.':'.$TotalOpend.':'. - $totalTries.':'.$ProbSolved.':'.$TotFirst.':'. - $TS_yes.':'.$TS.':'.$TotDiscuss; - (%$discriminant)->{$pstr}=$discrim; + if ($max > 20000) { + $max = 10000*(int($max/10000)+1); } + # + $r->print("".&Apache::loncommon::DrawBarGraph($title, + 'Problem Number', + $yaxis, + $max, + undef, # colors + \@Labels, + \@Data)."
\n"); + return; } -sub NumericSort { - $a <=> $b; -} - -sub OrderedSort { - if ($ENV{'form.order'} eq 'Descending') { - $b <=> $a; - } else { - $a <=> $b; +sub degrees_plot { + my ($r)=@_; + my $count = scalar(@StatsArray); + my $width = 50 + 10*$count; + $width = 300 if ($width < 300); + my $height = 300; + my $plot = ''; + my $ymax = 0; + my $ymin = 0; + my @Disc; my @Diff; my @Labels; + foreach my $data (@StatsArray) { + push(@Labels,$data->{'problem_num'}); + my $disc = $data->{'deg_of_disc'}; + my $diff = $data->{'deg_of_diff'}; + push(@Disc,$disc); + push(@Diff,$diff); + # + $ymin = $disc if ($ymin > $disc); + $ymin = $diff if ($ymin > $diff); + $ymax = $disc if ($ymax < $disc); + $ymax = $diff if ($ymax < $diff); + } + # + # Make sure we show relevant information. + if ($ymin < 0) { + if (abs($ymin) < 0.05) { + $ymin = 0; + } else { + $ymin = -1; + } + } + if ($ymax > 0) { + if (abs($ymax) < 0.05) { + $ymax = 0; + } else { + $ymax = 1; + } } + # + my $xmax = $Labels[-1]; + if ($xmax > 50) { + if ($xmax % 10 != 0) { + $xmax = 10 * (int($xmax/10)+1); + } + } else { + if ($xmax % 5 != 0) { + $xmax = 5 * (int($xmax/5)+1); + } + } + # + my $discdata .= ''.join(',',@Labels).''.$/. + ''.join(',',@Disc).''.$/; + # + my $diffdata .= ''.join(',',@Labels).''.$/. + ''.join(',',@Diff).''.$/; + # + $plot=<<"END"; +'.&Apache::lonxml::xmlparse($r,'web',$plot).'
'.$/; + $r->print($plotresult); + return; } - - -sub BuildStatisticsTable { - my ($cache,$upper,$lower,$list,$headings,$students,$r,$color)=@_; - my $NoElements = scalar @$list; - my @list=sort(@$list); - -#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); - - my $p_count = 0; - my $dummy; - my $p_val; - my $ResId; - my %TempCache; - my $cIdx=0; - - foreach my $sequence (split(':', $cache->{'orderedSequences'})) { - if($cache->{'ProblemStatisticsMaps'} ne 'All Maps' && - $cache->{'ProblemStatisticsMaps'} ne $cache->{$sequence.':title'}) { - next; +sub tries_data_plot { + my ($r)=@_; + my $count = scalar(@StatsArray); + my $width = 50 + 10*$count; + $width = 300 if ($width < 300); + my $height = 300; + my $plot = ''; + my @STD; my @Mean; my @Max; my @Min; + my @Labels; + my $ymax = 5; + foreach my $data (@StatsArray) { + my $max = $data->{'mean_tries'} + $data->{'std_tries'}; + $ymax = $max if ($ymax < $max); + $ymax = $max if ($ymax < $max); + push(@Labels,$data->{'problem_num'}); + push(@STD,$data->{'std_tries'}); + push(@Mean,$data->{'mean_tries'}); + } + # + # Make sure we show relevant information. + my $xmax = $Labels[-1]; + if ($xmax > 50) { + if ($xmax % 10 != 0) { + $xmax = 10 * (int($xmax/10)+1); } - &CreateProblemStatisticsTableHeading($cache->{'DisplayFormat'}, - $cache->{$sequence.':source'}, - $cache->{$sequence.':title'}, - $headings,$r); - my ($tar,$Tries,$Wrongs,$Code,$Disc)=split(/\&/, - $list[$cIdx]); - my ($SqOrd,$PrOrd,$Prob)=split(/\:/,$tar); - $sequence+=100; - while ($SqOrd==$sequence && $cIdx<$NoElements) { - my %storestats=(); - my $pOrd=$PrOrd; - my $Temp = $Prob; - my $MxTries = 0; - my $TotalTries = 0; - my $YES = 0; - my $Incorrect = 0; - my $Override = 0; - my $StdNo = 0; - my $DiscNo=0; - my @StdLst; - while ($pOrd==$PrOrd && $cIdx<$NoElements) - { - $cIdx++; - $StdNo++; - $StdLst[ $StdNo ] = $Tries; - $TotalTries += $Tries; - if ( $MxTries < $Tries ) { $MxTries = $Tries; } - if ( $Code eq 'C' ){ $YES++; } - elsif( $Code eq 'I' ) { $Incorrect++; } - elsif( $Code eq 'O' ) { $Override++; } - elsif( $Code eq '-' ) { $StdNo--; } - ($tar,$Tries,$Wrongs,$Code,$Disc)=split(/\&/, - $list[$cIdx]); - ($SqOrd,$PrOrd,$Prob)=split(/\:/,$tar); - } - - $p_count++; - my $Dummy; - ($ResId,$Dummy)=split(/\*/,$Temp); - $Temp = ''.$cache->{$ResId.':title'}.$Dummy.''; - -# my $urlres = $cache->{$sequence.':source'}); -#check with Gerd - #symb of the problem (already decluttered and cleaned) - my $urlres = $cache->{$ResId.':problem'}; - -#------------------------ Compute the Average of Tries about one problem - my $Average = ($StdNo) ? $TotalTries/$StdNo : 0; - - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___timestamp'}=time; - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___stdno'}=$StdNo; - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___avetries'}=$Average; - -#-------------------------------- Compute percentage of Wrong tries - my $Wrong = ( $StdNo ) ? 100 * ( $Incorrect / $StdNo ) : 0; - -#-------------------------------- Compute Standard Deviation - my $StdDev = 0; - if ( $StdNo > 1 ) { - for ( my $n = 0; $n < $StdNo; $n++ ) { - my $Dif = $StdLst[ $n ]-$Average; - $StdDev += $Dif*$Dif; - } - $StdDev /= ( $StdNo - 1 ); - $StdDev = sqrt( $StdDev ); - } - -#-------------------------------- Compute Degree of Difficulty - my $DoDiff = 0; - if( $TotalTries > 0 ) { - $DoDiff = 1 - ( ( $YES + $Override ) / $TotalTries ); -# $DoDiff = ($TotalTries)/($YES + $Override+ 0.1); - } - - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___difficulty'}=$DoDiff; - -#-------------------------------- Compute the Skewness - my $Skewness = 0; - my $Sum = 0; - if ( $StdNo > 0 && $StdDev > 0 ) { - for ( my $n = 0; $n < $StdNo; $n++ ) { - my $Dif = $StdLst[ $n ]-$Average; - $Skewness += $Dif*$Dif*$Dif; - } - $Skewness /= $StdNo; - $Skewness /= $StdDev*$StdDev*$StdDev; - } - -#--------------------- Compute the Discrimination Factors - my ($Up1,$Up2)=split(/\:/,$upper->{$sequence.'@'.$pOrd}); - my ($Lw1,$Lw2)=split(/\:/,$lower->{$sequence.'@'.$pOrd}); - - my $Dis1 = $Up1 - $Lw1; - my $Dis2 = $Up2 - $Lw2; - my $_D1 = sprintf("%.2f", $Dis1); - my $_D2 = sprintf("%.2f", $Dis2); - -#----------------- Some restition in presenting the float numbers - my $Avg = sprintf( "%.2f", $Average ); - my $Wrng = sprintf( "%.1f", $Wrong ); - my $SD = sprintf( "%.1f", $StdDev ); - my $DoD = sprintf( "%.2f", $DoDiff ); - my $Sk = sprintf( "%.1f", $Skewness ); - my $join = $sequence.'@'.$pOrd.'&'.$Temp.'&'.$StdNo.'&'. - $TotalTries.'&'.$MxTries.'&'.$Avg.'&'. - $YES.'&'.$Override.'&'.$Wrng.'&'.$DoD.'&'. - $SD.'&'.$Sk.'&'.$_D1.'&'.$_D2.'&'. - $DiscNo.'&'.$Prob; - - $TempCache{'CacheTable:'.($p_count-1)}=$join; - -#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,$2); - } -#-------------------------------- Row of statistical table - &TableRow($cache,$join,$cIdx,($p_count-1),$r,$color, - \%TempCache); - } - $TempCache{'ProblemCount'}=$p_count; - &CloseTable($cache,$r); - } -### &Close_PrgWin(); -#6666666 -# close( OUT ); -#666666 - return \%TempCache; -} - - -sub CacheStatisticsTable { - my ($state,$cache,$headings,$r,$color)=@_; - my @list = (); - my %TempCache; - my %myHeader = reverse( %$headings ); - my $pos = $myHeader{$state}; - if ($pos > 0) {$pos++;} - my $p_count = $cache->{'ProblemCount'}; - - for ( my $k=0; $k<$p_count;$k++) { - my $key=$cache->{'CacheTable:'.$k}; - my @Temp=split(/\&/,$key); - $list[$k]=$Temp[$pos].'+'.$key; - } - - if ($pos>0) { - @list = sort OrderedSort (@list); } else { - @list = sort (@list); + if ($xmax % 5 != 0) { + $xmax = 5 * (int($xmax/5)+1); + } } - my $cIdx=0; + $ymax = int($ymax)+1+2; + # + my $std_data .= ''.join(',',@Labels).''.$/. + ''.join(',',@Mean).''.$/; + # + my $std_error_data .= ''.join(',',@Labels).''.$/. + ''.join(',',@Mean).''.$/. + ''.join(',',@STD).''.$/; + # + $plot=<<"END"; +
'.&Apache::lonxml::xmlparse($r,'web',$plot).'
'.$/; + $r->print($plotresult); + return; +} - if ( $pos == 0 ) { - foreach my $sequence (split(':', $cache->{'orderedSequences'})) { - if($cache->{'ProblemStatisticsMaps'} ne 'All Maps' && - $cache->{'ProblemStatisticsMaps'} ne $cache->{$sequence.':title'}) { - next; - } - if ($cIdx==$p_count) { - return \%TempCache; - } - &CreateProblemStatisticsTableHeading($cache->{'DisplayFormat'}, - $cache->{$sequence.':source'}, - $cache->{$sequence.':title'}, - $headings,$r); - - my ($tar)=split(/\&/,$list[$cIdx]); - $tar=~s/\+//eg; - my ($SqOrd)=split(/\@/,$tar); - $sequence+=100; - while ($SqOrd==$sequence && $cIdx<$p_count) { - my($Pre, $Post) = split(/\+/,$list[$cIdx]); - &TableRow($cache,$Post,$cIdx,$cIdx,$r,$color,\%TempCache); - $cIdx++; - my ($tar)=split(/\&/,$list[$cIdx]); - $tar=~s/\+//eg; - ($SqOrd)=split(/\@/,$tar); - } - &CloseTable($cache,$r); - } - } - else { - &CreateProblemStatisticsTableHeading($cache->{'DisplayFormat'}, - 'Sorted by: ', - $headings->{$pos-1}, - $headings,$r); - for ( my $nIndex = 0; $nIndex < $p_count; $nIndex++ ) { - my($Pre, $Post) = split(/\+/,$list[$nIndex]); - &TableRow($cache,$Post,$nIndex,$nIndex,$r,$color,\%TempCache); - } - &CloseTable($cache,$r); - } - - return \%TempCache; -} - - -sub TableRow { - my ($cache,$Str,$Idx,$RealIdx,$r,$color,$GraphDat)=@_; - my($PrOrd,$Temp,$StdNo,$TotalTries,$MxTries,$Avg,$YES,$Override, - $Wrng,$DoD,$SD,$Sk,$_D1,$_D2,$DiscNo,$Prob)=split(/\&/,$Str); - my $Ptr; - if($cache->{'DisplayFormat'} eq 'Display CSV Format') { - my ($ResId,$Dummy)=split(/\*/,$Prob); - $Ptr="\n".''. - "\n".'"'.($RealIdx+1).'",'. - "\n".'"'.$cache->{$ResId.':title'}.$Dummy.'",'. - "\n".'"'.$cache->{$ResId.':source'}.'",'. - "\n".'"'.$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.'"'; +sub plot_dropdown { + my $current = ''; + # + if (defined($ENV{'form.plot'})) { + $current = $ENV{'form.plot'}; + } + # + my @Additional_Plots = ( + { graphable=>'yes', + name => 'degrees', + title => 'DoDisc and DoDiff' }, + { graphable=>'yes', + name => 'tries statistics', + title => 'Mean and S.D. of Tries' }); + # + my $Str= "\n".''."\n"; + return $Str; +} - $r->print("\n".$Ptr); +############################################### +############################################### +## +## Excel output routines +## +############################################### +############################################### +sub Excel_output { + my ($r) = @_; + $r->print('
'.&mt('Preparing Excel Spreadsheet').'
'); + ## + ## Compute the statistics + &compute_all_statistics($r); + my $c = $r->connection; + return if ($c->aborted()); + ## + ## Create the excel workbook + my $filename = '/prtspool/'. + $ENV{'user.name'}.'_'.$ENV{'user.domain'}.'_'. + time.'_'.rand(1000000000).'.xls'; + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + # + # Create sheet + my $excel_workbook = Spreadsheet::WriteExcel->new('/home/httpd'.$filename); + # + # Check for errors + if (! defined($excel_workbook)) { + $r->log_error("Error creating excel spreadsheet $filename: $!"); + $r->print(&mt("Problems creating new Excel file. ". + "This error has been logged. ". + "Please alert your LON-CAPA administrator.")); + return 0; + } + # + # The excel spreadsheet stores temporary data in files, then put them + # together. If needed we should be able to disable this (memory only). + # The temporary directory must be specified before calling 'addworksheet'. + # File::Temp is used to determine the temporary directory. + $excel_workbook->set_tempdir($Apache::lonnet::tmpdir); + # + # Add a worksheet + my $sheetname = $ENV{'course.'.$ENV{'request.course.id'}.'.description'}; + if (length($sheetname) > 31) { + $sheetname = substr($sheetname,0,31); + } + my $excel_sheet = $excel_workbook->addworksheet( + &Apache::loncommon::clean_excel_name($sheetname)); + ## + ## Begin creating excel sheet + ## + my ($rows_output,$cols_output) = (0,0); + # + # Put the course description in the header + $excel_sheet->write($rows_output,$cols_output++, + $ENV{'course.'.$ENV{'request.course.id'}.'.description'}); + $cols_output += 3; + # + # Put a description of the sections listed + my $sectionstring = ''; + my @Sections = @Apache::lonstatistics::SelectedSections; + if (scalar(@Sections) > 1) { + if (scalar(@Sections) > 2) { + my $last = pop(@Sections); + $sectionstring = "Sections ".join(', ',@Sections).', and '.$last; + } else { + $sectionstring = "Sections ".join(' and ',@Sections); + } } else { - $Ptr="\n".''. + ''. + &mt('Your Excel Spreadsheet').''."\n"); + $r->rflush(); + return; } - -# For loading the colored table for display or un-colored for print -sub setbgcolor { - my $PrintTable=shift; - my %color; - if ($PrintTable){ - $color{"gb"}="#FFFFFF"; - $color{"red"}="#FFFFFF"; - $color{"yellow"}="#FFFFFF"; - $color{"green"}="#FFFFFF"; - $color{"purple"}="#FFFFFF"; - } else { - $color{"gb"}="#DDFFFF"; - $color{"red"}="#FFDDDD"; - $color{"yellow"}="#EEFFCC"; - $color{"green"}="#DDFFDD"; - $color{"purple"}="#FFDDFF"; - } - - return \%color; -} - -sub ProblemStatisticsButtons { - my ($displayFormat)=@_; - - my $Ptr = '
| '; - $Ptr .= '#Stdnts | '; - $Ptr .= 'Total Number of Students opened the problem.'; - $Ptr .= ' |
| '; - $Ptr .= 'Tries | '; - $Ptr .= 'Total Number of Tries for solving the problem.'; - $Ptr .= ' |
| '; - $Ptr .= 'Mod | '; - $Ptr .= 'Maximunm Number of Tries for solving the problem.'; - $Ptr .= ' |
| '; - $Ptr .= 'Mean | '; - $Ptr .= 'Average Number of the tries. [ Tries / #Stdnts ]'; - $Ptr .= ' |
| '; - $Ptr .= '#YES | '; - $Ptr .= 'Number of students solved the problem correctly.'; - $Ptr .= ' |
| '; - $Ptr .= '#yes | '; - $Ptr .= 'Number of students solved the problem by override.'; - $Ptr .= ' |
| '; - $Ptr .= '%Wrng | '; - $Ptr .= 'Percentage of students tried to solve the problem '; - $Ptr .= 'but still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ]'; - $Ptr .= ' |
| '; - $Ptr .= 'DoDiff | '; - $Ptr .= 'Degree of Difficulty of the problem. '; - $Ptr .= '[ 1 - ((#YES+#yes) / Tries) ]'; - $Ptr .= ' |
| '; - $Ptr .= 'S.D. | '; - $Ptr .= 'Standard Deviation of the tries. '; - $Ptr .= '[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) '; - $Ptr .= 'where Xi denotes every student\'s tries ]'; - $Ptr .= ' |
| '; - $Ptr .= 'Skew. | '; - $Ptr .= 'Skewness of the students tries.'; - $Ptr .= '[(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)]'; - $Ptr .= ' |
| '; - $Ptr .= 'Dis.F. | '; - $Ptr .= 'Discrimination Factor: A Standard for evaluating the ';
- $Ptr .= 'problem according to a Criterion '; - $Ptr .= '[Applied Criterion in %27 Upper Students - '; - $Ptr .= 'Applied the same Criterion in %27 Lower Students] '; - $Ptr .= '1st Criterion for Sorting the Students: '; - $Ptr .= 'Sum of Partial Credit Awarded / Total Number of Tries '; - $Ptr .= '2nd Criterion for Sorting the Students: '; - $Ptr .= 'Total number of Correct Answers / Total Number of Tries'; - $Ptr .= ' |
| Disc. | '; - $Ptr .= 'Number of Students had at least one discussion.'; - $Ptr .= ' |
$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); -# $r->print("
$nIndex) $Temp --> ($nStudent) $Proc{$Temp}"); - $Sum1=0; - $Sum2=0; - $nStudent=0; - } - - return %Proc; -} - -#------- Creating Discimination factor -sub Discriminant { - my ($discriminant,$r)=@_; - my @discriminantKeys=keys(%$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,$_); } +sub sort_data { + my ($sortkey) = @_; + return if (! @StatsArray); + # + # Sort the data + my $sortby = undef; + foreach my $field (@Fields) { + if ($sortkey eq $field->{'name'}) { + $sortby = $field->{'name'}; + } + } + if (! defined($sortby) || $sortby eq '' || $sortby eq 'problem_num') { + $sortby = 'container'; + } + if ($sortby ne 'container') { + # $sortby is already defined, so we can charge ahead + if ($sortby =~ /^(title|part)$/i) { + # Alpha comparison + @StatsArray = sort { + lc($a->{$sortby}) cmp lc($b->{$sortby}) || + lc($a->{'title'}) cmp lc($b->{'title'}) || + lc($a->{'part'}) cmp lc($b->{'part'}); + } @StatsArray; + } else { + # Numerical comparison + @StatsArray = sort { + my $retvalue = 0; + if ($b->{$sortby} eq 'nan') { + if ($a->{$sortby} ne 'nan') { + $retvalue = -1; + } else { + $retvalue = 0; + } } - } + if ($a->{$sortby} eq 'nan') { + if ($b->{$sortby} ne 'nan') { + $retvalue = 1; + } + } + if ($retvalue eq '0') { + $retvalue = $b->{$sortby} <=> $a->{$sortby} || + lc($a->{'title'}) <=> lc($b->{'title'}) || + lc($a->{'part'}) <=> lc($b->{'part'}); + } + $retvalue; + } @StatsArray; } } - my %DisUp = &ProcessDiscriminant(\@UpList,$r); - my %DisLow = &ProcessDiscriminant(\@LowList,$r); + # + # Renumber the data set + my $count; + foreach my $data (@StatsArray) { + $data->{'problem_num'} = ++$count; + } + return; +} - return (\%DisUp, \%DisLow); -} +######################################################## +######################################################## -#---- END Problem Statistics Web Page ---------------------------------------- +=pod -#---- Problem Statistics Graph Web Page -------------------------------------- +=item &get_statistics() -# ------------------------------------------- Prepare data for Graphical chart +Wrapper routine from the call to loncoursedata::get_problem_statistics. +Calls lonstathelpers::get_time_limits() to limit the data set by time +and &compute_discrimination_factor + +Inputs: $sequence, $resource, $part, $problem_num + +Returns: Hash reference with statistics data from +loncoursedata::get_problem_statistics. + +=cut + +######################################################## +######################################################## +sub get_statistics { + my ($sequence,$resource,$part,$problem_num) = @_; + # + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + my $symb = $resource->{'symb'}; + my $courseid = $ENV{'request.course.id'}; + # + my $data = &Apache::loncoursedata::get_problem_statistics + (\@Apache::lonstatistics::SelectedSections, + $Apache::lonstatistics::enrollment_status, + $symb,$part,$courseid,$starttime,$endtime); + $data->{'part'} = $part; + $data->{'problem_num'} = $problem_num; + $data->{'container'} = $sequence->{'title'}; + $data->{'title'} = $resource->{'title'}; + $data->{'title.link'} = $resource->{'src'}.'?symb='. + &Apache::lonnet::escape($resource->{'symb'}); + # + $data->{'deg_of_disc'} = &compute_discrimination_factor($resource,$part,$sequence); + return $data; +} -sub BuildGraphicChart { - my ($ylab,$r,$cacheDB)=@_; - my %cache; - my $Col; - my $data=''; - my $count = 0; - my $Max = 0; - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - return 'Unable to tie database.'; +############################################### +############################################### + +=pod + +=item &compute_discrimination_factor() + +Inputs: $Resource, $Sequence + +Returns: integer between -1 and 1 + +=cut + +############################################### +############################################### +sub compute_discrimination_factor { + my ($resource,$part,$sequence) = @_; + my @Resources; + foreach my $res (@{$sequence->{'contents'}}) { + next if ($res->{'symb'} eq $resource->{'symb'}); + push (@Resources,$res->{'symb'}); + } + # + # rank + my $ranking = + &Apache::loncoursedata::rank_students_by_scores_on_resources + (\@Resources, + \@Apache::lonstatistics::SelectedSections, + $Apache::lonstatistics::enrollment_status,undef); + # + # compute their percent scores on the problems in the sequence, + my $number_to_grab = int(scalar(@{$ranking})/4); + my $num_students = scalar(@{$ranking}); + my @BottomSet = map { $_->[&Apache::loncoursedata::RNK_student()]; + } @{$ranking}[0..$number_to_grab]; + my @TopSet = + map { + $_->[&Apache::loncoursedata::RNK_student()]; + } @{$ranking}[($num_students-$number_to_grab)..($num_students-1)]; + my ($bottom_sum,$bottom_max) = + &Apache::loncoursedata::get_sum_of_scores($resource,$part,\@BottomSet); + my ($top_sum,$top_max) = + &Apache::loncoursedata::get_sum_of_scores($resource,$part,\@TopSet); + my $deg_of_disc; + if ($top_max == 0 || $bottom_max==0) { + $deg_of_disc = 'nan'; + } else { + $deg_of_disc = ($top_sum/$top_max) - ($bottom_sum/$bottom_max); } - - my $p_count = $cache{'ProblemCount'}; + #&Apache::lonnet::logthis(' '.$top_sum.'/'.$top_max. + # ' - '.$bottom_sum.'/'.$bottom_max); + return $deg_of_disc; +} + +############################################### +############################################### + +=pod + +=item ProblemStatisticsLegend + +=over 4 + +=item #Stdnts +Total number of students attempted the problem. + +=item Tries +Total number of tries for solving the problem. + +=item Max Tries +Largest number of tries for solving the problem by a student. + +=item Mean +Average number of tries. [ Tries / #Stdnts ] + +=item #YES +Number of students solved the problem correctly. + +=item #yes +Number of students solved the problem by override. + +=item %Wrong +Percentage of students who tried to solve the problem +but is still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ] + +=item DoDiff +Degree of Difficulty of the problem. +[ 1 - ((#YES+#yes) / Tries) ] + +=item S.D. +Standard Deviation of the tries. +[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) +where Xi denotes every student\'s tries ] + +=item Skew. +Skewness of the students tries. +[(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)] + +=item Dis.F. +Discrimination Factor: A Standard for evaluating the +problem according to a Criterion
+ +=item [Criterion to group students into %27 Upper Students - +and %27 Lower Students] +1st Criterion for Sorting the Students: +Sum of Partial Credit Awarded / Total Number of Tries +2nd Criterion for Sorting the Students: +Total number of Correct Answers / Total Number of Tries + +=item Disc. +Number of Students had at least one discussion. + +=back + +=cut + + +############################################################ +############################################################ +## +## How this all works: +## Statistics are computed by calling &get_statistics with the sequence, +## resource, and part id to run statistics on. At various places within +## the loops which compute the statistics, as well as before and after +## the entire process, subroutines can be called. The subroutines are +## registered to the following hooks: +## +## hook subroutine inputs +## ---------------------------------------------------------- +## pre $r,$count +## pre_seq $r,$count,$seq +## pre_res $r,$count,$seq,$res +## calc $r,$count,$seq,$res,$data +## post_res $r,$count,$seq,$res +## post_seq $r,$count,$seq +## post $r,$count +## +## abort $r +## +## subroutines will be called in the order in which they are registered. +## +############################################################ +############################################################ +{ + +my %hooks; +my $aborted = 0; - for ( my $k=0; $k<$p_count;$k++) { - my @Temp=split(/\:/,$cache{'GraphGif:'.$k}); - my $inf = $Temp[$Col]; - if ( $Max < $inf ) {$Max = $inf;} - $data .= $inf.','; - $count++; - } - untie(%cache); -# $r->print("
count=$p_count >>data= $data"); - - if ( $Max > 1 ) { - $Max += (10 - $Max % 10); - $Max = int($Max); - } else { $Max = 1; } - - my $cid=$ENV{'request.course.id'}; - - if ( $ylab eq 'DoDiff Graph' ) { - $ylab = 'Degree-of-Difficulty'; - $Col = 0; +sub abort_computation { + $aborted = 1; +} + +sub clear_hooks { + $aborted = 0; + undef(%hooks); +} + +sub register_hook { + my ($hookname,$subref)=@_; + if ($hookname !~ /^(pre|pre_seq|pre_res|post|post_seq|post_res|calc)$/){ + return; + } + if (ref($subref) ne 'CODE') { + &Apache::lonnet::logthis('attempt to register hook to non-code: '. + $hookname,' = '.$subref); } else { - $ylab = 'Wrong-Percentage'; - $Col = 1; + if (exists($hooks{$hookname})) { + push(@{$hooks{$hookname}},$subref); + } else { + $hooks{$hookname} = [$subref]; + } } - my $Course = $ENV{'course.'.$cid.'.description'}; - $Course =~ s/\ /"_"/eg; - my $GData=$Course.'&'.'Problems#'.'&'.$ylab.'&'. - $Max.'&'.$count.'&'.$data; + return; +} - $r->print('
');
+sub run_hooks {
+ my $context = shift();
+ foreach my $hook (@{$hooks{$context}}) {
+ if ($aborted && $context ne 'abort') {
+ last;
+ }
+ my $retvalue = $hook->(@_);
+ if (defined($retvalue) && $retvalue eq '0') {
+ $aborted = 1 if (! $aborted);
+ }
+ }
+}
+sub run_statistics {
+ my ($r) = @_;
+ my $count = 0;
+ &run_hooks('pre',$r,$count);
+ foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) {
+ last if ($aborted);
+ next if ($seq->{'num_assess'}<1);
+ &run_hooks('pre_seq',$r,$count,$seq);
+ foreach my $res (@{$seq->{'contents'}}) {
+ last if ($aborted);
+ next if ($res->{'type'} ne 'assessment');
+ &run_hooks('pre_res',$r,$count,$seq,$res);
+ foreach my $part (@{$res->{'parts'}}) {
+ last if ($aborted);
+ #
+ # This is where all the work happens
+ my $data = &get_statistics($seq,$res,$part,++$count);
+ &run_hooks('calc',$r,$count,$seq,$res,$part,$data);
+ }
+ &run_hooks('post_res',$r,$count,$seq,$res);
+ }
+ &run_hooks('post_seq',$r,$count,$seq);
+ }
+ if ($aborted) {
+ &run_hooks('abort',$r);
+ } else {
+ &run_hooks('post',$r,$count);
+ }
return;
}
+} # End of %hooks scope
+
+############################################################
+############################################################
+
1;
__END__