'."\n");
$r->print(''."\n");
$r->print(&CreateProblemStatisticsTableHeading($headings, $r));
@@ -165,29 +234,32 @@ sub BuildStatisticsTable {
}
my $count = 1;
- foreach(@$problems) {
+ foreach(@$orderedProblems) {
my ($sequence,$problem,$part)=split(':', $_);
-# my $problemRef = ''.$cache->{$problem.':title'}.'';
+ if($cache->{'ProblemStatisticsMaps'} ne 'All Maps' &&
+ $cache->{'ProblemStatisticsMaps'} ne $cache->{$sequence.':title'}) {
+ next;
+ }
- my $ref = $cache->{$problem.':title'};
+ my $ref = ''.$cache->{$problem.':title'}.'';
+# my $ref = $cache->{$problem.':title'};
my $title = $cache->{$problem.':title'};
my $source = '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;
+ $cache->{$_.':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
#6666666
# $r->print(' '.$out.'&'.$DoD);
@@ -202,10 +274,8 @@ sub BuildStatisticsTable {
# }
#-------------------------------- Row of statistical table
&TableRow($displayFormat,$tableData,$count,$r,$color);
-# $GraphDat->{'GraphGif:'.($count-1)}=$DoD.':'.$Wrng;
$count++;
}
-# $TempCache{'ProblemCount'}=$count;
if($cache->{'DisplayFormat'} ne 'Display CSV Format') {
$r->print(' '."\n");
}
@@ -213,78 +283,8 @@ sub BuildStatisticsTable {
#6666666
# close( OUT );
#666666
- return \%TempCache;
-}
-
-=pod
-sub CacheStatisticsTable {
- my ($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);
- }
- my $cIdx=0;
-
- 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;
- }
- $r->print(&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 {
- $r->print(&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,$r);
- }
-
- return \%TempCache;
+ return;
}
-=cut
sub TableRow {
my ($displayFormat,$Str,$RealIdx,$r,$color)=@_;
@@ -356,7 +356,7 @@ sub setbgcolor {
}
sub ProblemStatisticsButtons {
- my ($displayFormat)=@_;
+ my ($displayFormat, $displayLegend)=@_;
my $Ptr = ' |
| ';
$Ptr .= '{'orderedSequences'})) {
- if($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 +510,33 @@ 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"}) {
# $TotDiscuss++;
@@ -518,11 +546,24 @@ sub ExtractStudentData {
return \%problemData;
}
+sub SortDivideByTries {
+ my ($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 @problems = split(':::', $problemData->{'problemList'});
if($sortBy eq "Homework Sets Order") {
- return;
+ return \@problems;
}
my $data;
@@ -540,26 +581,23 @@ sub SortProblems {
elsif($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 $problems = $problemData->{'problemList'};
my @orderedProblems =
sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} }
- @$problems;
+ @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 +638,48 @@ sub CalculateStatistics {
0;
# Discrimination Factor 1
- $data->{$_.':discriminationFactor1'} = 0;
-
- # Discrimination Factor 2
- $data->{$_.':discriminationFactor2'} = 0;
- }
+ my ($sequence, $problem, $part) = split(':', $_);
- return;
-}
+ my @upper1 = split(':::', $data->{'studentsUpperListCriterion1'});
+ my @lower1 = split(':::', $data->{'studentsLowerListCriterion1'});
-sub ProcessDiscriminant {
- my ($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)) ? (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)) ? (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)) ? (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)) ? (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__
|