--- loncom/interface/lonstatistics.pm 2002/02/04 16:08:26 1.1
+++ loncom/interface/lonstatistics.pm 2005/03/18 00:19:35 1.121
@@ -1,7 +1,6 @@
# The LearningOnline Network with CAPA
-# (Publication Handler
#
-# $Id: lonstatistics.pm,v 1.1 2002/02/04 16:08:26 albertel Exp $
+# $Id: lonstatistics.pm,v 1.121 2005/03/18 00:19:35 matthew Exp $
#
# Copyright Michigan State University Board of Trustees
#
@@ -26,1357 +25,1064 @@
# http://www.lon-capa.org/
#
# (Navigate problems for statistical reports
-# YEAR=2001
-# 5/05/01, 7/09/01, 7/25/01, 8/11/01,9/13/01, 9/26/01 Behrouz Minaei
-# 10/5/01, 10/9/01, 10/22/01, 10/26/01 Behrouz Minaei
-# 11/1/01, 11/4/01, 11/16/01 Behrouz Minaei
-# 12/14/01, 12/16/01, 12/18/01,12/20/01,12/31/01 Behrouz Minaei
-# YEAR=2002
-# 1/22/02,2/1/02
+#
###
+=pod
+
+=head1 NAME
+
+lonstatistics
+
+=head1 SYNOPSIS
+
+Main handler for statistics and chart.
+
+=over 4
+
+=cut
+
package Apache::lonstatistics;
use strict;
use Apache::Constants qw(:common :http);
+use vars qw(
+ @FullClasslist
+ @Students
+ @Sections
+ %StudentData
+ @StudentDataOrder
+ @SelectedStudentData
+ $enrollment_status);
+
use Apache::lonnet();
use Apache::lonhomework;
-use Apache::loncommon();
-use HTML::TokeParser;
-use GDBM_File;
-use Benchmark;
-
-# -------------------------------------------------------------- Module Globals
-my %hash;
-my %CachData;
-my %GraphDat;
-my %maps;
-my %section;
-my %StuBox;
-my %DiscFac;
-my $CurMap;
-my $CurSec;
-my $CurStu;
-my @cols;
-my @list;
-my @students;
-my $p_count;
-my $Pos;
-my $r;
-my $OpSel1;
-my $OpSel2;
-my $OpSelDis1;
-my $OpSelDis2;
-my $CurDis=0;
-my $OpSel3;
-my $OpSel4;
-my $GData;
-my $cid;
-my $firstres;
-my $lastres;
-my $DiscFlag=0;
-
-my %Header = (0,"Problem Title",1,"#Stdnts",2,"Tries",3,"Mod",
- 4,"Mean",5,"#YES",6,"#yes",7,"%Wrng",8,"S.D.",
- 9,"Skew.",10,"DoDiff",11,"Map");
-# 9,"Skew.",10,"DoDiff",11,"Dis.F.",12,"Resourse URL");
-
-my %class = ();
-
-my @LS;
-my @LF;
-
-sub GetBin {
- my ($Index1,$Index2,$String,$C)=@_;
- my @step = 5;
- my @L=($C eq 'S') ? @LS : @LF;
- my $Count=$#L+1;
- $r->print(" zone $C ------ $String ");
- for(my $n=0;$n<$Count;$n++){
- my @t=split(/\:/,$L[$n]);
- $r->print(" $t[$Index1] $t[$Index2]");
- }
-}
+use Apache::loncommon;
+use Apache::loncoursedata;
+use Apache::lonhtmlcommon;
+use Apache::lonmysql;
+use Apache::lonlocal;
+use Time::HiRes;
+#
+# Statistics Packages
+use Apache::lonproblemanalysis();
+use Apache::lonsubmissiontimeanalysis();
+use Apache::loncorrectproblemplot();
+use Apache::lonproblemstatistics();
+use Apache::lonstudentassessment();
+use Apache::lonpercentage;
+use Apache::lonstudentsubmissions();
+use Apache::lonsurveyreports();
-sub GetUniqe {
- my ($Index,$String,$C)=@_;
- my @step = 5;
- my @L=($C eq 'S') ? @LS : @LF;
- my $Count=$#L+1;
- my @List=();
- for(my $n=0;$n<$Count;$n++){
- my @t=split(/\:/,$L[$n]);
- push(@List,$t[$Index]);
- #$r->print(" $t[$Index]");
- }
- @List = sort NumSort(@List);
-
- $r->print(" zone $C ------ $String ");
- my $nIdx=0;
- my $nPrb=0;
- my %Proc;
- undef %Proc;
- while ( $nIdx < $Count ) {
- my $Focus=$List[$nIdx];
- my $Temp = $Focus;
- do {
- $nIdx++;
- $nPrb++;
- $Focus=$List[$nIdx];
- #$Proc{$name}=$Focus;
- } while ( $Focus == $Temp && $nIdx < $Count );
- $r->print(" $Temp --> $nPrb");
- $nPrb=0;
- }
- return %Proc;
+#######################################################
+#######################################################
+
+=pod
+
+=item Package Variables
+
+=item @FullClasslist The full classlist
+
+=item @Students The students we are concerned with for this invocation
+
+=item @Sections The sections available in this class
+
+=item $curr_student The student currently being examined
+
+=item $prev_student The student previous in the classlist
+
+=item $next_student The student next in the classlist
+
+=over
+
+=cut
+
+#######################################################
+#######################################################
+#
+# Classlist variables
+#
+my $curr_student;
+my $prev_student;
+my $next_student;
+
+#######################################################
+#######################################################
+
+=pod
+
+=item &clear_classlist_variables()
+
+undef the following package variables:
+
+=over
+
+=item @FullClasslist
+
+=item @Students
+
+=item @Sections
+
+=item %StudentData
+
+=item @StudentDataOrder
+
+=item @SelectedStudentData
+
+=item $curr_student
+
+=item $prev_student
+
+=item $next_student
+
+=back
+
+=cut
+
+#######################################################
+#######################################################
+sub clear_classlist_variables {
+ undef(@FullClasslist);
+ undef(@Students);
+ undef(@Sections);
+ undef(%StudentData);
+ undef(@SelectedStudentData);
+ undef($curr_student);
+ undef($prev_student);
+ undef($next_student);
}
-sub GetUniq {
- my ($Index,$String)=@_;
- my @step = 5;
- my $Count=0;
- my @List=();
- my @temp=();
- foreach (keys(%DiscFac)){
- $Count++;
- my @temp1=split(/\:/,$_);
- @temp=($temp1[$Index],@temp1);
- push(@List,join(':',@temp));
- }
- @List = sort NumericSort(@List);
-
- $r->print("
zone ($Index) ------ $String ----- / $temp[3]");
- my $nIdx=0;
- my $nPrb=0;
- my %Proc;
- undef %Proc;
- while ( $nIdx < $Count ) {
- my ($Focus,$Dummy,$name)=split(/\:/,$List[$nIdx]);
- my $Temp = $Focus;
- $Proc{$name}=$Focus;
- do {
- $nIdx++;
- $nPrb++;
- ($Focus,$Dummy,$name)=split(/\:/,$List[$nIdx]);
- $Proc{$name}=$Focus;
- } while ( $Focus == $Temp && $nIdx < $Count );
- $r->print(" $Temp --> $nPrb");
- $nPrb=0;
+#######################################################
+#######################################################
+
+=pod
+
+=item &PrepareClasslist()
+
+Build up the classlist information. The classlist information is kept in
+the following package variables:
+
+=over
+
+=item @FullClasslist
+
+=item @Students
+
+=item @Sections
+
+=item %StudentData
+
+=item @SelectedStudentData
+
+=item $curr_student
+
+=item $prev_student
+
+=item $next_student
+
+=back
+
+$curr_student, $prev_student, and $next_student may not be defined, depending
+upon the calling context.
+
+=cut
+
+#######################################################
+#######################################################
+sub PrepareClasslist {
+ my %Sections;
+ &clear_classlist_variables();
+ #
+ # Retrieve the classlist
+ my $cid = $ENV{'request.course.id'};
+ my $cdom = $ENV{'course.'.$cid.'.domain'};
+ my $cnum = $ENV{'course.'.$cid.'.num'};
+ my ($classlist,$field_names) = &Apache::loncoursedata::get_classlist($cid,
+ $cdom,$cnum);
+ my @selected_sections = &get_selected_sections();
+ #
+ # Deal with instructors with restricted section access
+ if ($ENV{'request.course.sec'} !~ /^\s*$/) {
+ @selected_sections = ($ENV{'request.course.sec'});
+ }
+ #
+ # Set up %StudentData
+ @StudentDataOrder = qw/fullname username domain id section status comments/;
+ foreach my $field (@StudentDataOrder) {
+ $StudentData{$field}->{'title'} = &mt($field);
+ $StudentData{$field}->{'base_width'} = length(&mt($field));
+ $StudentData{$field}->{'width'} =
+ $StudentData{$field}->{'base_width'};
}
- return %Proc;
+ #
+ # get the status requested
+ $enrollment_status = 'Active';
+ $enrollment_status = $ENV{'form.Status'} if (exists($ENV{'form.Status'}));
+ #
+ # Process the classlist
+ while (my ($student,$student_data) = each (%$classlist)) {
+ my $studenthash = ();
+ for (my $i=0; $i< scalar(@$field_names);$i++) {
+ my $field = $field_names->[$i];
+ # Store the data
+ $studenthash->{$field}=$student_data->[$i];
+ # Keep track of the width of the fields
+ next if (! exists($StudentData{$field}));
+ my $length = length($student_data->[$i]);
+ if ($StudentData{$field}->{'width'} < $length) {
+ $StudentData{$field}->{'width'} = $length;
+ }
+ }
+ push (@FullClasslist,$studenthash);
+ #
+ # Build up a list of sections
+ my $section = $studenthash->{'section'};
+ if (! defined($section) || $section =~/^\s*$/ || $section == -1) {
+ $studenthash->{'section'} = 'none';
+ $section = $studenthash->{'section'};
+ }
+ $Sections{$section}++;
+ #
+ # Only put in the list those students we are interested in
+ foreach my $sect (@selected_sections) {
+ if ( (($sect eq 'all') ||
+ ($section eq $sect)) &&
+ (($studenthash->{'status'} eq $enrollment_status) ||
+ ($enrollment_status eq 'Any'))
+ ){
+ push (@Students,$studenthash);
+ last;
+ }
+ }
+ }
+ #
+ # Put the consolidated section data in the right place
+ if ($ENV{'request.course.sec'} !~ /^\s*$/) {
+ @Sections = ($ENV{'request.course.sec'});
+ } else {
+ @Sections = sort {$a cmp $b} keys(%Sections);
+ unshift(@Sections,'all'); # Put 'all' at the front of the list
+ }
+ #
+ # Sort the Students
+ my $sortby = 'fullname';
+ $sortby = $ENV{'form.sort'} if (exists($ENV{'form.sort'}));
+ my @TmpStudents = sort { $a->{$sortby} cmp $b->{$sortby} ||
+ $a->{'fullname'} cmp $b->{'fullname'} } @Students;
+ @Students = @TmpStudents;
+ #
+ # Now deal with that current student thing....
+ $curr_student = undef;
+ if (exists($ENV{'form.SelectedStudent'})) {
+ my ($current_uname,$current_dom) =
+ split(':',$ENV{'form.SelectedStudent'});
+ my $i;
+ for ($i = 0; $i<=$#Students; $i++) {
+ next if (($Students[$i]->{'username'} ne $current_uname) ||
+ ($Students[$i]->{'domain'} ne $current_dom));
+ $curr_student = $Students[$i];
+ last; # If we get here, we have our student.
+ }
+ if (defined($curr_student)) {
+ if ($i == 0) {
+ $prev_student = undef;
+ } else {
+ $prev_student = $Students[$i-1];
+ }
+ if ($i == $#Students) {
+ $next_student = undef;
+ } else {
+ $next_student = $Students[$i+1];
+ }
+ }
+ }
+ #
+ if (exists($ENV{'form.StudentData'})) {
+ if (ref($ENV{'form.StudentData'}) eq 'ARRAY') {
+ @SelectedStudentData = @{$ENV{'form.StudentData'}};
+ } else {
+ @SelectedStudentData = ($ENV{'form.StudentData'});
+ }
+ } else {
+ @SelectedStudentData = ('username');
+ }
+ foreach (@SelectedStudentData) {
+ if ($_ eq 'all') {
+ @SelectedStudentData = ('all');
+ last;
+ }
+ }
+ #
+ return;
}
-sub NumericSort {
- $a <=> $b;
-}
+#######################################################
+#######################################################
+
+=pod
+
+=item get_selected_sections
+Returns an array of the selected sections
-#------- Classification
-sub Classify {
- my $Count=0;
- my @List=();
-# foreach(keys %class){
-# $r->print(" $_ --> $class{$_}");
-# }
- # $DiscFac{($DisFactor.':'.$sname.':'.$ProbTot.':'.$TotalOpend.':'.
- # $TotalTries.':'.$ProbSolved.':'.$time)}=$Dis;
- @LS=();
- @LF=();
- my $cf=0;
- my $cs=0;
- foreach (keys(%DiscFac)){
- my @l=split(/\:/,$_);
- if ($class{$l[1]}){
- if( $class{$l[1]} == 4 ) {
- $cs++;
- push(@LS,('S:'.$l[6].':'.$l[0].':'.$l[5].':'.$l[4].':'.$l[3].':'.$class{$l[1]}));
- }
- elsif ( $class{$l[1]} < 3 ) {
- $cf++;
- push(@LF,('F:'.$l[6].':'.$l[0].':'.$l[5].':'.$l[4].':'.$l[3].':'.$class{$l[1]}));
- }
- }
+=cut
+
+#######################################################
+#######################################################
+sub get_selected_sections {
+ my @selected_sections;
+ if (exists($ENV{'form.Section'})) {
+ if (ref($ENV{'form.Section'})) {
+ @selected_sections = @{$ENV{'form.Section'}};
+ } elsif ($ENV{'form.Section'} !~ /^\s*$/) {
+ @selected_sections = ($ENV{'form.Section'});
+ }
}
-
- $r->print(" zone successful");
- for(my $n=0;$n<$cs;$n++){
- $r->print(' '.$LS[$n]);
- }
-
- $r->print(" zone failed");
- for(my $n=0;$n<$cf;$n++){
- $r->print(' '.$LF[$n]);
- }
-
-# my %Disc = &GetUniqe(@List,5,"Discrimination Factor");
-# my %Opnd = &GetUniq(@List,3,"Total Opened");
-# my %Trys = &GetUniq(@Lsit4,"Total Tries");
-# my %Slvd = &GetUniq(5,"Problems Solved");
-
- # my (@L, $Index,$String)=@_;
- my %Time = &GetUniqe(1,"Time",'S');
- &GetUniqe(1,"Time",'F');
- &GetUniqe(2,"Discrimination Factor",'S');
- &GetUniqe(2,"Discrimination Factor",'F');
- &GetUniqe(3,"Solved",'S');
- &GetUniqe(3,"Solved",'F');
- &GetUniqe(4,"Tries",'S');
- &GetUniqe(4,"Tries",'F');
-
- &GetBin(1,2, " Time ... Discriminat",'S');
- &GetBin(1,2, " Time ... Discriminat",'F');
- &GetBin(1,3, " Time ... Solved",'S');
- &GetBin(1,3, " Time ... Solved",'F');
- &GetBin(1,4, " Time ... Tries",'S');
- &GetBin(1,4, " Time ... Tries",'F');
- &GetBin(2,3, " Discriminant ... Solved",'S');
- &GetBin(2,3, " Discriminant ... Solved",'F');
- &GetBin(2,4, " Discriminant ... Tries",'S');
- &GetBin(2,4, " Discriminant ... Tries",'F');
- &GetBin(3,4, " Solved ... Tries",'S');
- &GetBin(3,4, " solved ... Tries",'F');
-# foreach (keys(%Disc)) {
-# $r->print(" : $Disc{$_} --> $Slvd{$_}");
- # }
- # $r->print(" ..........Discriminant ... Time................");
- ## foreach (keys(%Disc)) {
- # $r->print(" $Disc{$_} --> $Time{$_}");
- # }
- # $r->print(" ..........Time ... Solved.......................");
- # foreach (keys(%Disc)) {
- # $r->print(" $Disc{$_} --> $Slvd{$_}");
- # }
+ @selected_sections = ('all') if (! @selected_sections);
+ foreach (@selected_sections) {
+ if ($_ eq 'all') {
+ @selected_sections = ('all');
+ }
+ }
+ #
+ # Deal with instructors with restricted section access
+ if ($ENV{'request.course.sec'} !~ /^\s*$/) {
+ @selected_sections = ($ENV{'request.course.sec'});
+ }
+ return @selected_sections;
}
-#------- Processing upperlist and lowerlist according to each problem
-sub ProcessDisc {
- my @List = @_;
- @List = sort (@List);
- my $Count = $#List+1;
- my $Prb;
- my @Dis;
- my $Slvd=0;
- my $tmp;
- my $Sum=0;
- my $nIdx=0;
- my $nStud=0;
- my %Proc;
- undef %Proc;
- while ($nIdx<$Count) {
- ($Prb,$tmp)=split(/\=/,$List[$nIdx]);
- @Dis=split(/\+/,$tmp);
- my $Temp = $Prb;
- do {
- $nIdx++;
- $nStud++;
- $Sum += $Dis[$CurDis];
- ($Prb,$tmp)=split(/\=/,$List[$nIdx]);
- @Dis=split(/\+/,$tmp);
- } while ( $Prb eq $Temp && $nIdx < $Count );
-# $Proc{$Temp}=$Sum.':'.$nStud;
- $Proc{$Temp}=($Sum/$nStud).':'.$nStud;
-# $r->print("$nIdx) $Temp --> ($nPrb) $Proc{$Temp} ");
- $Sum=0;
- $nStud=0;
+#######################################################
+#######################################################
+
+=pod
+
+=item §ion_and_enrollment_description
+
+=cut
+
+#######################################################
+#######################################################
+sub section_and_enrollment_description {
+ my @sections = &Apache::lonstatistics::get_selected_sections();
+ my $description = &mt('Unable to determine section and enrollment');
+ if (scalar(@sections) == 1 && $sections[0] ne 'all') {
+ $description = &mt('Section [_1]. [_2] enrollment status.',
+ $sections[0],$ENV{'form.Status'});
+ } elsif (scalar(@sections) && $sections[0] eq 'all') {
+ $description = &mt('All sections. [_1] enrollment status.',
+ $ENV{'form.Status'});
+ } elsif (scalar(@sections)) {
+ my $lastsection = pop(@sections);
+ $description = &mt('Sections [_1] and [_2]. [_3] enrollment status.',
+ join(', ',@sections),$lastsection,
+ $ENV{'form.Status'});
}
- return %Proc;
+ return $description;
}
-#------- Creating Discimination factor table
-sub DiscriminationTable {
- my $Count=0;
- foreach (keys(%DiscFac)){
- $Count++;
- }
- my $UpCnt = int(0.27*$Count);
- $r->print("
".
- "Current map: \"$CurMap\" ".
- "Current Section: \"$CurSec\" ".
- "Number of valid students: $Count".
- " The Upper 27% has $UpCnt records.".
- " The Lower 27% has $UpCnt records ".
- "The Criterion of sorting the students: ".
- "( Sum of Partial Credits Awarded / ".
- "Total Number of Tries )".
- "
");
- $r->rflush();
- my $low=0;
- my $up=$Count-$UpCnt;
- my @UpList=();
- my @LowList=();
- $Count=0;
- foreach my $key (sort(keys(%DiscFac))){
- $Count++;
-# $r->print("$Count) $key ");
-
- if ($low < $UpCnt || $Count > $up) {
- $low++;
- my $str=$DiscFac{$key};
-# $r->print("$Count) $str ");
- foreach(split(/\:/,$str)){
- if ($_) {
- if ($low<$UpCnt){push(@LowList,$_);}
- else {push(@UpList,$_);}
- }
- }
- }
- }
-
- my %Up=&ProcessDisc(@UpList);
- my %Low=&ProcessDisc(@LowList);
-
- my @list = ();
- my $Useful;
- my $UnUseful;
- $p_count = 0;
-
- foreach my $key( keys %CachData) {
- my @Temp=split(/\:/,$CachData{$key});
- ($UnUseful,$Useful)=split(/\>/,$Temp[0]);
- $list[$p_count]=$Useful.'&'.$CachData{$key};
- $p_count++;
- }
-
- @list = sort MySort (@list);
-
- my $Result = "\n".'
';
- $Result .= "\n".'
P#
';
- $Result .= "\n".'
'.$Header{0}.'
';
- $Result .= "\n".'
'.'Discrimination Factor'.'
';
- $Result .= "\n".'
'.'%Upper Award'.'
';
- $Result .= "\n".'
'.'%Lower Award'.'
';
- $Result .= "\n".'
'.'Upper Records'.'
';
- $Result .= "\n".'
'.'Lower Records'.'
';
- $Result .= "\n".'
'.'%Degree of Difficulty'.'
';
- $Result .= "\n".'
';
- $r->print( $Result );
-
- for ( my $nIdx = 0; $nIdx < $p_count; $nIdx++ ) {
- my( $Pre, $Post ) = split(/\&/,$list[$nIdx]);
- my ($Temp,$MxTries,$StdNo,$TotalTries,$YES,$Override,
- $Wrng,$Avg,$SD,$Sk,$DoD,$res,$Prob)=split(/\:/,$Post);
- my ($UpDis,$UpNo)=split(/\:/,$Up{$Prob});
- my ($LwDis,$LwNo)=split(/\:/,$Low{$Prob});
- $UpNo = ($UpNo) ? $UpNo : 0;
- $LwNo = ($LwNo) ? $LwNo : 0;
- my $U_Dis = sprintf("%.4f", $UpDis)*100;
- my $L_Dis = sprintf("%.4f", $LwDis)*100;
- my $DisFac = $UpDis - $LwDis;
- my $_Dis = sprintf("%.4f", $DisFac)*100;
- $r->print( "\n".'
'.
- "\n".'
'.($nIdx+1).'
'.
- "\n".'
'.$Temp.'
'.
- "\n".'
'.$_Dis.'
'.
- "\n".'
'.$U_Dis.'
'.
- "\n".'
'.$L_Dis.'
'.
- "\n".'
'.$UpNo.'
'.
- "\n".'
'.$LwNo.'
'.
- "\n".'
'.($DoD).'
'.
- "\n".'
' );
- }
- $r->print("\n".'
');
- $r->rflush();
-}
+#######################################################
+#######################################################
-sub CreateDiscFac {
+=pod
- my $CacheDB = "/home/httpd/perl/tmp/$ENV{'user.name'}".
- "_$ENV{'user.domain'}_$cid\_statistics.db";
- my $CachDisFac = "/home/httpd/perl/tmp/$ENV{'user.name'}".
- "_$ENV{'user.domain'}_$cid\_DiscFactor.db";
-
- my $ptr='';
-# $ptr .= ' Discrimination Criterion: '."\n".
-# ' '."\n";
- $ptr .= ' ';
- $r->print($ptr);
-
- if ((-e "$CacheDB")&&
- ($ENV{'form.sort'} ne 'Recalculate Discrimintion Factor')) {
- if (tie(%CachData,'GDBM_File',"$CacheDB",&GDBM_READER,0640)) {
- tie(%DiscFac,'GDBM_File',$CachDisFac,&GDBM_READER,0640);
- #&DiscriminationTable();
- &Classify();
- }
- else {$r->print("Unable to tie hash to db file");}
- }
- else {
- if (tie(%CachData,'GDBM_File',$CacheDB,&GDBM_WRCREAT,0640)) {
- tie(%DiscFac,'GDBM_File',$CachDisFac,&GDBM_WRCREAT,0640);
- foreach (keys %CachData) {delete $CachData{$_};}
- foreach (keys %DiscFac) {delete $DiscFac{$_};}
- $DiscFlag=1;
- &Build_Statistics();
- $DiscFlag=0;
- &DiscriminationTable();
- }
- else {$r->print("Unable to tie hash to db file");}
- }
- untie(%CachData);
- untie(%DiscFac);
-}
-
-
-# ------ Create different Student Report
-sub StudentReport {
- my ($sname,$sdom)=@_;
- if ( $sname eq 'All Students' ) {
- $r->print( '
WARNING:
- Please select a student
' );
- return;
- }
- my $shome=&Apache::lonnet::homeserver( $sname,$sdom );
- my $reply=&Apache::lonnet::reply('dump:'.$sdom.':'.$sname.':'.$cid,$shome );
- my %result = ();
- my $ResId;
- my $Code;
- my $Tries;
- my $TotalTries = 0;
- my $ParCr = 0;
- my $Wrongs;
- my %TempHash;
- my $Version;
- my $LatestVersion;
- my $PtrTry='';
- my $PtrCod='';
- my $SetNo=0;
- my $Str = "\n".'
'.
- ' #Stdnts: Total Number of Students opened the problem. '.
- ' Tries : Total Number of Tries for solving the problem. '.
- ' Mod : Maximunm Number of Tries for solving the problem. '.
- ' Mean : Average Number of the tries. [ Tries / #Stdns ] '.
- ' #YES : Number of students solved the problem correctly. '.
- ' #yes : Number of students solved the problem by override. '.
- ' %Wrng : Percentage of students tried to solve the problem but still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ] '.
- ' S.D. : Standard Deviation of the tries.[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) where Xi is every student\'s tries ] '.
- ' Skew. : Skewness of the students tries. [ (sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3) ] '.
-# ' DoDiff : Degree of Difficulty of the problem. [ Tries/(#YES+#yes+0.1) ] '.
- ' DoDiff : Degree of Difficulty of the problem. [ 1 - ((#YES+#yes) / Tries) ] '.
-# ' Dis.F. : Discrimination Factor. [ Sum of Partial Credits Awarded / Total Number of Tries in %27 upper and lower students]'.
- '