| ';
$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++;
- }
- }
-
- my $studentTriesJoined = join(':::', @studentTries);
- $problemData{$id.':sequenceTitle'} =
- $cache->{$sequence.':title'};
- $problemData{$id.':studentCount'} = $studentCount;
- $problemData{$id.':totalTries'} = $totalTries;
- $problemData{$id.':studentTries'} = $studentTriesJoined;
- $problemData{$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;
- }
- }
- }
-
- my @upperStudents1=();
- my @lowerStudents1=();
- my @upperStudents2=();
- my @lowerStudents2=();
- my $upperCount = int(0.27*scalar(@$students));
- # Discriminant Factor criterion 1
- my $sortedStudents = &SortDivideByTries($students,$cache,':totalAwarded');
-
- for(my $i=0; $i<$upperCount; $i++) {
- push(@lowerStudents1, $sortedStudents->[$i]);
- push(@upperStudents1, $sortedStudents->[(scalar(@$students)-$i-1)]);
- }
-
- $problemData{'studentsUpperListCriterion1'}=join(':::', @upperStudents1);
- $problemData{'studentsLowerListCriterion1'}=join(':::', @lowerStudents1);
-
- # Discriminant Factor criterion 2
- $sortedStudents = &SortDivideByTries($students, $cache, ':totalSolved');
-
- for(my $i=0; $i<$upperCount; $i++) {
- push(@lowerStudents2, $sortedStudents->[$i]);
- push(@upperStudents2, $sortedStudents->[(scalar(@$students)-$i-1)]);
- }
- $problemData{'studentsUpperListCriterion2'}=join(':::', @upperStudents2);
- $problemData{'studentsLowerListCriterion2'}=join(':::', @lowerStudents2);
-
- $problemData{'problemList'} = join(':::', @problemList);
-
- return \%problemData;
-}
-
-sub SortDivideByTries {
- my ($toSort, $data, $sortOn)=@_;
- my @orderedData = sort { ($data->{$a.':totalTries'}) ?
- ($data->{$a.$sortOn}/$data->{$a.':totalTries'}):0
- <=>
- ($data->{$b.':totalTries'}) ?
- ($data->{$b.$sortOn}/$data->{$b.':totalTries'}):0
- } @$toSort;
-
- return \@orderedData;
-}
-
-sub SortProblems {
- my ($problemData,$sortBy,$sortProblems,$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") { $data = ':discriminationFactor1'; }
- elsif($sortBy eq "D.F.2nd") { $data = ':discriminationFactor2'; }
- else { return \@problems; }
-
- my %temp;
- my @sequenceList=();
- foreach(@problems) {
- my ($sequence) = split(':', $_);
-
- my @array=();
- my $tempArray;
- if(defined($temp{$sequence})) {
- $tempArray = $temp{$sequence};
- } else {
- push(@sequenceList, $sequence);
- $tempArray = \@array;
- $temp{$sequence} = $tempArray;
- }
-
- push(@$tempArray, $_);
- }
-
- my @orderedProblems;
- if($sortProblems eq "Sort Within Sequence") {
- foreach(keys(%temp)) {
- my $tempArray = $temp{$_};
- my @tempOrder =
- sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
- @$tempArray;
- $temp{$_} = \@tempOrder;
- }
- foreach(@sequenceList) {
- my $tempArray = $temp{$_};
- @orderedProblems = (@orderedProblems, @$tempArray);
- }
- } else {
- @orderedProblems =
- sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
- @problems;
- }
-
- if($ascend eq 'Descending') {
- @orderedProblems = reverse(@orderedProblems);
- }
-
- return \@orderedProblems;
-}
-
-sub CalculateStatistics {
- my ($data, $cache, $courseID)=@_;
-
- my @problems = split(':::', $data->{'problemList'});
- foreach(@problems) {
- # Mean
- my $mean = ($data->{$_.':studentCount'}) ?
- ($data->{$_.':totalTries'} / $data->{$_.':studentCount'}) : 0;
- $data->{$_.':mean'} = sprintf("%.2f", $mean);
-
- # %Wrong
- my $pw = ($data->{$_.':studentCount'}) ?
- (($data->{$_.':wrong'} / $data->{$_.':studentCount'}) * 100.0) :
- 100.0;
- $data->{$_.':percentWrong'} = sprintf("%.1f", $pw);
-
- # Degree of Difficulty
- my $dod = ($data->{$_.':totalTries'}) ?
- (1 - (($data->{$_.':correct'} + $data->{$_.':correctByOverride'}) /
- $data->{$_.':totalTries'})) : 0;
-
- $data->{$_.':degreeOfDifficulty'} = sprintf("%.2f", $dod);
-
- # Factor in mean
- my @studentTries = split(':::', $data->{$_.':studentTries'});
- foreach(my $index=0; $index < scalar(@studentTries); $index++) {
- $studentTries[$index] -= $mean;
- }
- my $sumSquared = 0;
- my $sumCubed = 0;
- foreach(@studentTries) {
- my $squared = ($_ * $_);
- my $cubed = ($squared * $_);
- $sumSquared += $squared;
- $sumCubed += $cubed;
- }
-
- # Standard deviation
- my $standardDeviation;
- if($data->{$_.':studentCount'} - 1 > 0) {
- $standardDeviation = (sqrt($sumSquared)) /
- ($data->{$_.':studentCount'} - 1);
- } else {
- $standardDeviation = 0.0;
- }
- $data->{$_.':standardDeviation'} = sprintf("%.1f", $standardDeviation);
-
- # Skewness
- my $skew;
- if($standardDeviation > 0.0999 && $data->{$_.':studentCount'} > 0) {
- $skew = (((sqrt($sumSquared)) / $data->{$_.':studentCount'}) /
- ($standardDeviation *
- $standardDeviation *
- $standardDeviation));
- } else {
- $skew = 0.0;
- }
-
- $data->{$_.':skewness'} = sprintf("%.1f", $skew);
-
- # Discrimination Factor 1
- my ($sequence, $problem, $part) = split(':', $_);
-
- my @upper1 = split(':::', $data->{'studentsUpperListCriterion1'});
- my @lower1 = split(':::', $data->{'studentsLowerListCriterion1'});
-
- my $upper1Sum=0;
- foreach my $name (@upper1) {
- $upper1Sum += $cache->{"$name:$problem:$part:awarded"};
- }
- $upper1Sum = (scalar(@upper1)) ? ($upper1Sum/(scalar(@upper1))) : 0;
-
- my $lower1Sum=0;
- foreach my $name (@lower1) {
- $lower1Sum += $cache->{"$name:$problem:$part:awarded"};
- }
- $lower1Sum = (scalar(@lower1)) ? ($lower1Sum/(scalar(@lower1))) : 0;
-
- my $df1 = $upper1Sum - $lower1Sum;
- $data->{$_.':discriminationFactor1'} = sprintf("%.2f", $df1);
-
- # Discrimination Factor 2
- my @upper2 = split(':::', $data->{'studentsUpperListCriterion2'});
- my @lower2 = split(':::', $data->{'studentsLowerListCriterion2'});
-
- my $upper2Sum=0;
- foreach my $name (@upper2) {
- $upper2Sum += $cache->{"$name:$problem:$part:awarded"};
- }
- $upper2Sum = (scalar(@upper2)) ? ($upper2Sum/(scalar(@upper2))) : 0;
-
- my $lower2Sum=0;
- foreach my $name (@lower2) {
- $lower2Sum += $cache->{"$name:$problem:$part:awarded"};
- }
- $lower2Sum = (scalar(@lower2)) ? ($lower2Sum/(scalar(@lower2))) : 0;
-
- my $df2 = $upper2Sum - $lower2Sum;
- $data->{$_.':discriminationFactor2'} = sprintf("%.2f", $df2);
-
- my %storestats;
- my $Average = ($data->{$_.':studentCount'}) ?
- $data->{$_.':totalTries'}/$data->{$_.':studentCount'} : 0;
- $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
- '___timestamp'}=time;
- $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
- '___stdno'}=$data->{$_.':studentCount'};
- $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
- '___avetries'}=$Average;
- $storestats{$courseID.'___'.$cache->{$sequence.':source'}.
- '___difficulty'}=$data->{$_.':degreeOfDifficulty'};
- $cache->{$sequence.':source'} =~ /^(\w+)\/(\w+)/;
- if($data->{$_.':studentCount'}) {
- &Apache::lonnet::put('nohist_resevaldata',\%storestats,$1,$2);
- }
- }
-
- return;
-}
-
#---- END Problem Statistics Web Page ----------------------------------------
1;
|
');
# $r->print('