| ';
$Ptr .= '[$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);
# $Discussed=0;
# if($Discuss->{"$name:$problem"}) {
@@ -462,8 +636,20 @@ sub ExtractStudentData {
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,$ascend)=@_;
+ my ($problemData,$sortBy,$sortProblems,$ascend)=@_;
my @problems = split(':::', $problemData->{'problemList'});
if($sortBy eq "Homework Sets Order") {
@@ -487,9 +673,24 @@ sub SortProblems {
elsif($sortBy eq "Disc.") { $data = ''; }
else { return \@problems; }
- my @orderedProblems =
- sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
- @problems;
+ my %temp;
+ foreach(@problems) {
+ my ($sequence) = split(':', $_);
+ $temp{$_} = $sequence;
+ }
+
+ my @orderedProblems;
+ if($sortProblems eq "Sort Within Sequence") {
+ @orderedProblems =
+ sort { $temp{$a} cmp $temp{$b} ||
+ $problemData->{$a.$data} <=> $problemData->{$b.$data} }
+ @problems;
+ } else {
+ @orderedProblems =
+ sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
+ @problems;
+ }
+
if($ascend eq 'Descending') {
@orderedProblems = reverse(@orderedProblems);
}
@@ -498,7 +699,7 @@ sub SortProblems {
}
sub CalculateStatistics {
- my ($data)=@_;
+ my ($data, $cache)=@_;
my @problems = split(':::', $data->{'problemList'});
foreach(@problems) {
@@ -542,133 +743,48 @@ sub CalculateStatistics {
0;
# Discrimination Factor 1
- $data->{$_.':discriminationFactor1'} = 0;
+ my ($sequence, $problem, $part) = split(':', $_);
- # Discrimination Factor 2
- $data->{$_.':discriminationFactor2'} = 0;
- }
+ my @upper1 = split(':::', $data->{'studentsUpperListCriterion1'});
+ my @lower1 = split(':::', $data->{'studentsLowerListCriterion1'});
- return;
-}
-
-sub ProcessDiscriminant {
- my ($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 $upper1Sum=0;
+ foreach my $name (@upper1) {
+ $upper1Sum += $cache->{"$name:$problem:$part:awarded"};
}
- }
- my %DisUp = &ProcessDiscriminant(\@UpList);
- my %DisLow = &ProcessDiscriminant(\@LowList);
-
- return (\%DisUp, \%DisLow);
-}
+ $upper1Sum = (scalar(@upper1)) ? ($upper1Sum/(scalar(@upper1))) : 0;
-#---- END Problem Statistics Web Page ----------------------------------------
-
-#---- Problem Statistics Graph Web Page --------------------------------------
+ my $lower1Sum=0;
+ foreach my $name (@lower1) {
+ $lower1Sum += $cache->{"$name:$problem:$part:awarded"};
+ }
+ $lower1Sum = (scalar(@lower1)) ? ($lower1Sum/(scalar(@lower1))) : 0;
-# ------------------------------------------- Prepare data for Graphical chart
+ $data->{$_.':discriminationFactor1'} = $upper1Sum - $lower1Sum;
-sub BuildGraphicChart {
- my ($graph,$cacheDB,$courseDescription,$r)=@_;
- my %cache;
- my $max = 0;
+ # Discrimination Factor 2
+ my @upper2 = split(':::', $data->{'studentsUpperListCriterion2'});
+ my @lower2 = split(':::', $data->{'studentsLowerListCriterion2'});
- unless(tie(%cache,'GDBM_File',$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'}),
+ my $upper2Sum=0;
+ foreach my $name (@upper2) {
+ $upper2Sum += $cache->{"$name:$problem:$part:awarded"};
}
- if($max < $data) {
- $max = $data;
- }
- push(@values, $data);
- }
- untie(%cache);
+ $upper2Sum = (scalar(@upper2)) ? ($upper2Sum/(scalar(@upper2))) : 0;
- my $sendValues = join(',', @values);
-# my $sendCount = $#values;
- my $sendCount = scalar(@values);
+ my $lower2Sum=0;
+ foreach my $name (@lower2) {
+ $lower2Sum += $cache->{"$name:$problem:$part:awarded"};
+ }
+ $lower2Sum = (scalar(@lower2)) ? ($lower2Sum/(scalar(@lower2))) : 0;
- my $title = '';
- if($graph eq 'DoDiffGraph') {
- $title = 'Degree-of-Difficulty';
- } else {
- $title = 'Wrong-Percentage';
+ $data->{$_.':discriminationFactor2'} = $upper2Sum - $lower2Sum;
}
- my @GData = ($courseDescription, 'Problems', $title, $max, $sendCount,
- $sendValues);
-
- $r->print(''."\n");
- $r->print('');
- $r->print(' |