'."\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';
+ my $source = $cache->{$problem.':source'};
my $tableData = join('&', $ref, $title, $source,
- $data->{$_.':studentCount'},
- $data->{$_.':totalTries'},
- $data->{$_.':maxTries'},
- sprintf("%.2f", $data->{$_.':mean'}),
- $data->{$_.':correct'},
- $data->{$_.':correctByOverride'},
- sprintf("%.1f", $data->{$_.':percentWrong'}),
- sprintf("%.2f", $data->{$_.':degreeOfDifficulty'}),
- sprintf("%.1f", $data->{$_.':standardDeviation'}),
- sprintf("%.1f", $data->{$_.':skewness'}),
- sprintf("%.2f", $data->{$_.':discriminationFactor1'}),
- sprintf("%.2f", $data->{$_.':discriminationFactor2'}),
- 0); # 0 is for discussion, need to figure out
-# $TempCache{'CacheTable:'.$_}=$join;
-
-#6666666
-# $r->print(' '.$out.'&'.$DoD);
-# print (OUT $out.'@'.$DoD.'&');
-#6666666
+ $cache->{$_.':studentCount'},
+ $cache->{$_.':totalTries'},
+ $cache->{$_.':maxTries'},
+ sprintf("%.2f", $cache->{$_.':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
-#check with Gerd
-# $urlres=~/^(\w+)\/(\w+)/;
-# if ($StdNo) {
-# &Apache::lonnet::put('nohist_resevaldata',\%storestats,
-# $1,$2);
-# }
-#-------------------------------- Row of statistical table
&TableRow($displayFormat,$tableData,$count,$r,$color);
-# $GraphDat->{'GraphGif:'.($count-1)}=$DoD.':'.$Wrng;
+
$count++;
}
-# $TempCache{'ProblemCount'}=$count;
- if($cache->{'DisplayFormat'} ne 'Display CSV Format') {
+ if($displayFormat ne 'Display CSV Format') {
$r->print(' '."\n");
+ $r->print(' |
');
+ } else {
+ $r->print(' | ';
$Ptr .= '{'orderedSequences'})) {
- if($cache->{'ProblemStatisticsMaps'} ne 'All Maps' &&
- $cache->{'ProblemStatisticsMaps'} ne $cache->{$sequence.':title'}) {
- next;
- }
-
foreach my $problemID (split(':', $cache->{$sequence.':problems'})) {
foreach my $part (split(/\:/,$cache->{$sequence.':'.
$problemID.
@@ -508,7 +600,33 @@ sub ExtractStudentData {
}
}
- $problemData{'problemList'} = \@problemList;
+ 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);
# $Discussed=0;
# if($Discuss->{"$name:$problem"}) {
# $TotDiscuss++;
@@ -518,11 +636,24 @@ sub ExtractStudentData {
return \%problemData;
}
+sub SortDivideByTries {
+ my ($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") {
- return;
+ return \@problems;
}
my $data;
@@ -540,26 +671,38 @@ sub SortProblems {
elsif($sortBy eq "D.F.1st") { $data = ':discriminantFactor1'; }
elsif($sortBy eq "D.F.2nd") { $data = ':discriminantFactor2'; }
elsif($sortBy eq "Disc.") { $data = ''; }
- else { return; }
+ else { return \@problems; }
+
+ my %temp;
+ foreach(@problems) {
+ my ($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;
+ }
- my $problems = $problemData->{'problemList'};
- my @orderedProblems =
- sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
- @$problems;
if($ascend eq 'Descending') {
@orderedProblems = reverse(@orderedProblems);
}
- $problemData->{'problemList'} = \@orderedProblems;
-
- return;
+ return \@orderedProblems;
}
sub CalculateStatistics {
- my ($data)=@_;
+ my ($data, $cache)=@_;
- my $problems = $data->{'problemList'};
- foreach(@$problems) {
+ my @problems = split(':::', $data->{'problemList'});
+ foreach(@problems) {
# Mean
$data->{$_.':mean'} = ($data->{$_.':studentCount'}) ?
($data->{$_.':totalTries'} / $data->{$_.':studentCount'}) : 0;
@@ -600,136 +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);
+ $upper1Sum = (scalar(@upper1)) ? ($upper1Sum/(scalar(@upper1))) : 0;
- return (\%DisUp, \%DisLow);
-}
-
-#---- 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 - $lower1Sum;
-sub BuildGraphicChart {
- my ($ylab,$r,$cacheDB)=@_;
- my %cache;
- my $Col;
- my $data='';
- my $count = 0;
- 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 $p_count = $cache{'ProblemCount'};
+ my $upper2Sum=0;
+ foreach my $name (@upper2) {
+ $upper2Sum += $cache->{"$name:$problem:$part:awarded"};
+ }
+ $upper2Sum = (scalar(@upper2)) ? ($upper2Sum/(scalar(@upper2))) : 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");
+ my $lower2Sum=0;
+ foreach my $name (@lower2) {
+ $lower2Sum += $cache->{"$name:$problem:$part:awarded"};
+ }
+ $lower2Sum = (scalar(@lower2)) ? ($lower2Sum/(scalar(@lower2))) : 0;
- 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;
- } else {
- $ylab = 'Wrong-Percentage';
- $Col = 1;
+ $data->{$_.':discriminationFactor2'} = $upper2Sum - $lower2Sum;
}
- my $Course = $ENV{'course.'.$cid.'.description'};
- $Course =~ s/\ /"_"/eg;
- my $GData=$Course.'&'.'Problems#'.'&'.$ylab.'&'.
- $Max.'&'.$count.'&'.$data;
-
- $r->print('');
return;
}
+#---- END Problem Statistics Web Page ----------------------------------------
+
1;
__END__
|