--- loncom/interface/statistics/lonproblemstatistics.pm 2002/07/29 22:01:11 1.6 +++ loncom/interface/statistics/lonproblemstatistics.pm 2006/12/06 22:22:38 1.111 @@ -1,7 +1,6 @@ # The LearningOnline Network with CAPA -# (Publication Handler # -# $Id: lonproblemstatistics.pm,v 1.6 2002/07/29 22:01:11 minaeibi Exp $ +# $Id: lonproblemstatistics.pm,v 1.111 2006/12/06 22:22:38 albertel Exp $ # # Copyright Michigan State University Board of Trustees # @@ -26,887 +25,1783 @@ # http://www.lon-capa.org/ # # (Navigate problems for statistical reports -# YEAR=2001 -# 5/5,7/9,7/25/1,8/11,9/13,9/26,10/5,10/9,10/22,10/26 Behrouz Minaei -# 11/1,11/4,11/16,12/14,12/16,12/18,12/20,12/31 Behrouz Minaei -# YEAR=2002 -# 1/22,2/1,2/6,2/25,3/2,3/6,3/17,3/21,3/22,3/26,4/7,5/6 Behrouz Minaei -# 5/12,5/14,5/15,5/19,5/26,7/16,7/25,7/29 Behrouz Minaei # -### +############################################### +############################################### -package Apache::lonproblemstatistics; +=pod + +=head1 NAME + +lonproblemstatistics + +=head1 SYNOPSIS + +Routines to present problem statistics to instructors via tables, +Excel files, and plots. + +=over 4 + +=cut + +############################################### +############################################### + +package Apache::lonproblemstatistics; use strict; -use Apache::lonnet(); +use Apache::lonnet; +use Apache::loncommon(); use Apache::lonhtmlcommon; use Apache::loncoursedata; -use GDBM_File; +use Apache::lonstatistics; +use LONCAPA::lonmetadata(); +use Apache::lonlocal; +use Spreadsheet::WriteExcel; +use Apache::lonstathelpers(); +use Time::HiRes; +use LONCAPA; + +my @StatsArray; +my %SeqStat; # keys are symbs, values are hash refs -sub BuildProblemStatisticsPage { - my ($cacheDB, $students, $courseID, $c, $r)=@_; - my %cache; - #my %DoDiff; - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER,0640)) { - return 'Unable to tie database.'; - } - - my $Ptr = ''; - $Ptr .= ''; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= &AscendOrderOptions($cache{'Ascend'}); - $Ptr .= &ProblemStatisticsButtons($cache{'DisplayFormat'}); - $Ptr .= '
Select Map'; - $Ptr .= &Apache::lonhtmlcommon::MapOptions(\%cache, 'ProblemStatistics'); - $Ptr .= '
'; - $Ptr .= &ProblemStatisticsLegend(); - $r->print($Ptr); - - untie(%cache); - foreach (@$students) { - my $courseData = - &Apache::loncoursedata::DownloadCourseInformation($_, $courseID); - last if ($c->aborted()); - if(tie(%cache,'GDBM_File',$cacheDB,&GDBM_WRCREAT,0640)) { - &Apache::loncoursedata::ProcessStudentData(\%cache, - $courseData, $_); - untie(%cache); - } - } - if($c->aborted()) { return; } - - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER,0640)) { - return 'Unable to tie database.'; - } - my %discriminant=(); - my @list=(); - my %Discuss=&Apache::loncoursedata::LoadDiscussion($courseID); - my $index=0; - foreach (@$students) { - $index++; - #&Apache::lonstatistics::Update_PrgWin(++$index,$r); - &ExtractStudentData(\%cache, $_, \@list,\%Discuss, $r, \%discriminant); +## +## Localization notes: +## +## in @Fields[0]->{'long_title'} is placed in Excel files and is used as the +## header for plots created with Graph.pm, both of which more than likely do +## not support localization. +## +# +# +## +## Description of Field attributes +## +## Attribute Required Value Meaning or Use +## +## name yes any scalar Used to uniquely identify field +## title yes any scalar This is what the user sees to identify +## the field. Passed through &mt(). +## long_title yes any scalar Used as graph heading and in excel +## output. NOT translated +## align no (left|right|center) HTML cell contents alignment +## color yes html color HTML cell background color +## used to visually group statistics +## special no (link) Indicates a link, target is name.link +## Currently set in &get_statistics() +## graphable no (yes|no) Can a bar graph of the field be +## produced? +## sortable no (yes|no) Should a sort link be put in the +## column header? +## selectable yes (yes|no) Can the column be removed from the +## statistics display? +## selected yes (yes|no) Is the column selected by default? +## +## format no sprintf format string +## +## excel_format no excel format type +## (see &Apache::loncommon::define_excel_formats +my @Fields = ( + { name => 'problem_num', + title => 'P#', + align => 'right', + color => '#FFFFE6', + selectable => 'no', + defaultselected => 'yes', + }, + { name => 'container', + title => 'Sequence or Folder', + align => 'left', + color => '#FFFFE6', + sortable => 'yes', + selectable => 'no', + defaultselected => 'yes', + }, + { name => 'title', + title => 'Title', + align => 'left', + color => '#FFFFE6', + special => 'link', + sortable => 'yes', + selectable => 'no', + defaultselected => 'yes', + }, + { name => 'part', + title => 'Part', + align => 'left', + color => '#FFFFE6', + selectable => 'no', + defaultselected => 'yes', + }, + { name => 'num_students', + title => '#Stdnts', + align => 'right', + color => '#EEFFCC', + format => '%d', + sortable => 'yes', + graphable => 'yes', + long_title => 'Number of Students Attempting Problem', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'tries', + title => 'Tries', + align => 'right', + color => '#EEFFCC', + format => '%d', + sortable => 'yes', + graphable => 'yes', + long_title => 'Total Number of Tries', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'max_tries', + title => 'Max Tries', + align => 'right', + color => '#DDFFFF', + format => '%d', + sortable => 'yes', + graphable => 'yes', + long_title => 'Maximum Number of Tries', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'min_tries', + title => 'Min Tries', + align => 'right', + color => '#DDFFFF', + format => '%d', + sortable => 'yes', + graphable => 'yes', + long_title => 'Minumum Number of Tries', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'mean_tries', + title => 'Mean Tries', + align => 'right', + color => '#DDFFFF', + format => '%5.2f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Average Number of Tries', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'std_tries', + title => 'S.D. tries', + align => 'right', + color => '#DDFFFF', + format => '%5.2f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Standard Deviation of Number of Tries', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'skew_tries', + title => 'Skew Tries', + align => 'right', + color => '#DDFFFF', + format => '%5.2f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Skew of Number of Tries', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'num_solved', + title => '#YES', + align => 'right', + color => '#FFDDDD', + format => '%4.1f',# format => '%d', + sortable => 'yes', + graphable => 'yes', + long_title => 'Number of Students able to Solve', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'num_override', + title => '#yes', + align => 'right', + color => '#FFDDDD', + format => '%4.1f',# format => '%d', + sortable => 'yes', + graphable => 'yes', + long_title => 'Number of Students given Override', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'tries_per_correct', + title => 'tries/correct', + align => 'right', + color => '#FFDDDD', + format => '%4.1f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Tries per Correct Answer', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'num_wrong', + title => '#Wrng', + align => 'right', + color => '#FFDDDD', + format => '%4.1f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Number of students whose final answer is wrong', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'per_wrong', + title => '%Wrng', + align => 'right', + color => '#FFDDDD', + format => '%4.1f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Percent of students whose final answer is wrong', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'deg_of_diff', + title => 'DoDiff', + align => 'right', + color => '#FFFFE6', + format => '%5.2f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Degree of Difficulty'. + '[ 1 - ((#YES+#yes) / Tries) ]', + selectable => 'yes', + defaultselected => 'yes', + }, + { name => 'deg_of_disc', + title => 'DoDisc', + align => 'right', + color => '#FFFFE6', + format => '%4.2f', + sortable => 'yes', + graphable => 'yes', + long_title => 'Degree of Discrimination', + selectable => 'yes', + defaultselected => 'yes', + }, +## duedate included for research purposes. Commented out most of the time. +# { name => 'duedate', +# title => 'Due Date', +# align => 'left', +# color => '#FFFFFF', +# sortable => 'yes', +# graphable => 'no', +# long_title => 'Due date of resource for instructor', +# selectable => 'no', +# defaultselected => 'yes', +# }, +## opendate included for research purposes. Commented out most of the time. +# { name => 'opendate', +# title => 'Open Date', +# align => 'left', +# color => '#FFFFFF', +# sortable => 'yes', +# graphable => 'no', +# long_title => 'date resource became answerable', +# selectable => 'no', +# defaultselected => 'yes', +# }, +## symb included for research purposes. Commented out most of the time. +# { name => 'symb', +# title => 'Symb', +# align => 'left', +# color => '#FFFFFF', +# sortable => 'yes', +# graphable => 'no', +# long_title => 'Unique LON-CAPA identifier for problem', +# selectable => 'no', +# defaultselected => 'yes', +# }, +## resptypes included for research purposes. Commented out most of the time. +# { name => 'resptypes', +# title => 'Response Types', +# align => 'left', +# color => '#FFFFFF', +# sortable => 'no', +# graphable => 'no', +# long_title => 'Response Types used in this problem', +# selectable => 'no', +# defaultselected => 'yes', +# }, +## maxtries included for research purposes. Commented out most of the time. +# { name => 'maxtries', +# title => 'Maxtries', +# align => 'left', +# color => '#FFFFFF', +# sortable => 'no', +# graphable => 'no', +# long_title => 'Maximum number of tries', +# selectable => 'no', +# defaultselected => 'yes', +# }, +## hinttries included for research purposes. Commented out most of the time. +# { name => 'hinttries', +# title => 'hinttries', +# align => 'left', +# color => '#FFFFFF', +# sortable => 'no', +# graphable => 'no', +# long_title => 'Number of tries before a hint appears', +# selectable => 'no', +# defaultselected => 'yes', +# }, +# +## problem weight for instructor + { name => 'weight', + title => 'weight', + align => 'right', + color => '#FFFFFF', + sortable => 'no', + graphable => 'no', + long_title => 'Problem weight (for instructor)', + selectable => 'yes', + defaultselected => 'yes', + }, +); + +my @SeqFields = ( + { name => 'title', + title => 'Sequence', + align => 'left', + color => '#FFFFE6', + special => 'no', + sortable => 'no', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'items', + title => '#Items', + align => 'right', + color => '#FFFFE6', + format => '%4d', + sortable => 'no', + graphable => 'no', + long_title => 'Number of Items in Sequence', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'scoremean', + title => 'Score Mean', + align => 'right', + color => '#FFFFE6', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Mean Sequence Score', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'scorestd', + title => 'Score STD', + align => 'right', + color => '#FFFFE6', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Standard Deviation of Sequence Scores', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'scoremax', + title => 'Score Max', + align => 'right', + color => '#FFFFE6', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Maximum Sequence Score', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'scoremin', + title => 'Score Min', + align => 'right', + color => '#FFFFE6', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Minumum Sequence Score', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'scorecount', + title => 'Score N', + align => 'right', + color => '#FFFFE6', + format => '%4d', + sortable => 'no', + graphable => 'no', + long_title => 'Number of Students in score computations', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'countmean', + title => 'Count Mean', + align => 'right', + color => '#FFFFFF', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Mean Sequence Score', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'countstd', + title => 'Count STD', + align => 'right', + color => '#FFFFFF', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Standard Deviation of Sequence Scores', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'countmax', + title => 'Count Max', + align => 'right', + color => '#FFFFFF', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Maximum Number of Correct Problems', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'countmin', + title => 'Count Min', + align => 'right', + color => '#FFFFFF', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'Minumum Number of Correct Problems', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'count', + title => 'Count N', + align => 'right', + color => '#FFFFFF', + format => '%4d', + sortable => 'no', + graphable => 'no', + long_title => 'Number of Students in score computations', + selectable => 'yes', + defaultselected => 'no', + }, + { name => 'KR-21', + title => 'KR-21', + align => 'right', + color => '#FFAAAA', + format => '%4.2f', + sortable => 'no', + graphable => 'no', + long_title => 'KR-21 reliability statistic', + selectable => 'yes', + defaultselected => 'no', + }, +); + +my %SelectedFields; + +sub parse_field_selection { + # + # Pull out the defaults + if (! defined($env{'form.fieldselections'})) { + $env{'form.fieldselections'} = []; + foreach my $field (@Fields) { + next if ($field->{'selectable'} ne 'yes'); + if ($field->{'defaultselected'} eq 'yes') { + push(@{$env{'form.fieldselections'}},$field->{'name'}); + } + } } - #&Apache::lonstatistics::Close_PrgWin($r); - - my ($upper, $lower) = &Discriminant(\%discriminant); - my %Header = (0,"Homework Sets Order",1,"#Stdnts",2,"Tries",3,"Mod", - 4,"Mean",5,"#YES",6,"#yes",7,"%Wrng",8,"DoDiff", - 9,"S.D.",10,"Skew.",11,"D.F.1st",12,"D.F.2nd", 13, "Disc."); - my $color=&setbgcolor(0); - my %GraphDat= &BuildStatisticsTable(\%cache, \%discriminant, \@list, - \%Header, $students, $r, $color); - untie(%cache); + # + # Make sure the data we are plotting is there + my %NeededFields; + if (exists($env{'form.plot'}) && $env{'form.plot'} ne '' && + $env{'form.plot'} ne 'none') { + if ($env{'form.plot'} eq 'degrees') { + $NeededFields{'deg_of_diff'}++; + $NeededFields{'deg_of_disc'}++; + } elsif ($env{'form.plot'} eq 'tries statistics') { + $NeededFields{'mean_tries'}++; + $NeededFields{'std_tries'}++; + $NeededFields{'problem_num'}++; + } else { + $NeededFields{$env{'form.plot'}}++; + } + } + # + # This should not happen, but in case it does... + if (ref($env{'form.fieldselections'}) ne 'ARRAY') { + $env{'form.fieldselections'} = [$env{'form.fieldselections'}]; + } + # + # Set the field data and the selected fields (for easier checking) + undef(%SelectedFields); + foreach my $field (@Fields) { + if ($field->{'selectable'} ne 'yes') { + $field->{'selected'} = 'yes'; + } else { + $field->{'selected'} = 'no'; + } + if (exists($NeededFields{$field->{'name'}})) { + $field->{'selected'} = 'yes'; + $SelectedFields{$field->{'name'}}++; + } + foreach my $selection (@{$env{'form.fieldselections'}}) { + if ($selection eq $field->{'name'} || $selection eq 'all') { + $field->{'selected'} = 'yes'; + $SelectedFields{$field->{'name'}}++; + } + } + } + # + # Always show all the sequence statistics (for now) + foreach my $field (@SeqFields) { + $field->{'selected'} = 'yes'; + } + return; } +sub field_selection_input { + my $Str = '\n"; +} + +############################################### +############################################### + +=pod -#---- Problem Statistics Web Page --------------------------------------- +=item &CreateInterface() +Create the main intereface for the statistics page. Allows the user to +select sections, maps, and output. + +=cut -sub NumericSort { - $a <=> $b; +############################################### +############################################### +sub CreateInterface { + my ($r) = @_; + # + &parse_field_selection(); + # + my $Str = ''; + $Str .= &Apache::lonhtmlcommon::breadcrumbs('Overall Problem Statistics', + 'Statistics_Overall_Key'); + $Str .= ''."\n"; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''."\n"; + # + $Str .= ''."\n"; + $Str .= '
'.&mt('Sections').''.&mt('Groups').''.&mt('Access Status').''.&mt('Sequences and Folders').''.&mt('Statistics').''. + &Apache::lonstathelpers::limit_by_time_form().'
'."\n"; + $Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5); + $Str .= ''; + $Str .= &Apache::lonstatistics::GroupSelect('Group','multiple',5); + $Str .= ''; + $Str .= &Apache::lonhtmlcommon::StatusOptions(undef,undef,5); + $Str .= ''; + # + $Str .= &Apache::lonstatistics::map_select('Maps','multiple,all',5); + $Str .= ''.&field_selection_input(); + $Str .= '
'."\n"; + # + $Str .= '

'.&mt('Status: [_1]', + '' + ). + '

'; + # + $Str .= ''; + $Str .= ' 'x5; + $Str .= 'Plot '.&plot_dropdown().(' 'x10); + # + return $Str; } +############################################### +############################################### -sub CreateProblemStatisticsTableHeading { - my ($displayFormat,$sequenceSource,$sequenceTitle,$headings,$r)=@_; - if($displayFormat eq 'Display CSV Format') { - $r->print('
"'.$sequenceTitle.'","'); - $r->print($sequenceSource.'"'); - return; - } +=pod + +=item &BuildProblemStatisticsPage() + +Main interface to problem statistics. + +=cut - $r->print('
'.$sequenceTitle.''); +############################################### +############################################### +my $navmap; +my @sequences; + +sub clean_up { + undef($navmap); + undef(@sequences); +} - my $Result = "\n".''."\n"; - for(my $nIndex=0; $nIndex < (scalar (keys %$headings)); $nIndex++) { - $Result .= ''."\n"; +sub BuildProblemStatisticsPage { + my ($r,$c)=@_; + undef($navmap); + undef(@sequences); + # + my %Saveable_Parameters = ('Status' => 'scalar', + 'statsoutputmode' => 'scalar', + 'Section' => 'array', + 'Groups' => 'array', + 'StudentData' => 'array', + 'Maps' => 'array', + 'fieldselections'=> 'array'); + &Apache::loncommon::store_course_settings('statistics', + \%Saveable_Parameters); + &Apache::loncommon::restore_course_settings('statistics', + \%Saveable_Parameters); + # + &Apache::lonstatistics::PrepareClasslist(); + # + # Clear the package variables + undef(@StatsArray); + undef(%SeqStat); + # + # Finally let the user know we are here + my $interface = &CreateInterface($r); + $r->print($interface); + $r->print(''); + # + my @CacheButtonHTML = + &Apache::lonstathelpers::manage_caches($r,'Statistics','stats_status'); + my $Str; + foreach my $html (@CacheButtonHTML) { + $Str.=$html.(' 'x5); + } + # + $r->print($Str); + if (! exists($env{'form.firstrun'})) { + $r->print('

'. + &mt('Press "Generate Statistics" when you are ready.'). + '

'. + &mt('It may take some time to update the student data '. + 'for the first analysis. Future analysis this session '. + ' will not have this delay.'). + '

'); + &clean_up(); + return; } - $Result .= "\n".''."\n"; - $r->print($Result); $r->rflush(); + # + # This probably does not need to be done each time we are called, but + # it does not slow things down noticably. + &Apache::loncoursedata::populate_weight_table(); + # + ($navmap,@sequences) = + &Apache::lonstatistics::selected_sequences_with_assessments(); + if (! ref($navmap)) { + $r->print('

'.&mt('A course-wide error occured.').'

'. + '

'.$navmap.'

'); + &clean_up(); + return; + } + if (exists($env{'form.Excel'})) { + $r->print('

'. + &Apache::lonstatistics::section_and_enrollment_description(). + '

'); + &Excel_output($r); + } else { + $r->print(''.' 'x5); + $r->rflush(); + $r->print('

'. + &Apache::lonstatistics::section_and_enrollment_description(). + '

'); + my $count = 0; + foreach my $seq (@sequences) { + my @resources = + &Apache::lonstathelpers::get_resources($navmap,$seq); + $count += scalar(@resources); + } + if ($count > 10) { + $r->print('

'. + &mt('Compiling statistics for [_1] problems',$count). + '

'); + if ($count > 30) { + $r->print('

'.&mt('This will take some time.').'

'); + } + $r->rflush(); + } + # + my $sortby = $env{'form.sortby'}; + $sortby = 'container' if (! defined($sortby) || $sortby =~ /^\s*$/); + my $plot = $env{'form.plot'}; + if ($plot eq '' || $plot eq 'none') { + undef($plot); + } + if ($sortby eq 'container' && ! defined($plot)) { + &output_sequence_statistics($r); + &output_html_by_sequence($r); + } else { + if (defined($plot)) { + &make_plot($r,$plot); + } + &output_html_stats($r); + &output_sequence_statistics($r); + } + } + &clean_up(); + return; } -sub CloseTable { - my ($cache,$r)=@_; - if($cache->{'DisplayFormat'} eq 'Display CSV Format') { - return; - } - $r->print("\n".'
P#'.''.'
'."\n"); +sub output_sequence_statistics { + my ($r) = @_; + my $c=$r->connection(); + $r->print('

'.&mt('Sequence Statistics'). + &Apache::loncommon::help_open_topic('Statistics_Sequence'). + '

'); + $r->print('
'."\n". + ''."\n". + ''); + $r->print(&sequence_html_header()); + foreach my $seq (@sequences) { + last if ($c->aborted); + &compute_sequence_statistics($seq); + $r->print(&sequence_html_output($seq)); + } + $r->print('
'); + $r->print('
'); $r->rflush(); + return; } - -# ------ Dump the Student's DB file and handling the data for statistics table -sub ExtractStudentData { - my ($cache,$name,$list,$Discuss,$r,$discriminant)=@_; - my $totalTries = 0; - my $totalAwarded = 0; - my $spent=0; - my $spent_yes=0; - my $TotDiscuss=0; - my $TotalOpend = 0; - my $ProbSolved = 0; - my $ProbTot = 0; - my $TotFirst = 0; - my $TimeTot = 0; - my $Discussed=0; - my $tempSequenceOrder=100; - -#$Apache::lonxml::debug=1; -#&Apache::lonhomework::showhash(%$cache); -#$Apache::lonxml::debug=0; - - foreach my $sequence (split(':', $cache->{'orderedSequences'})) { - my $tempProblemOrder=100; - $tempSequenceOrder++; -# if($cache->{'ProblemStatisticsMap'} ne 'All Maps' && -# $cache->{'ProblemStatisticsMap'} ne $cache->{$sequence.':title'}) { -# $r->print("
sequences=$cache->{'orderedSequences'}"); -# $r->print("
".$cache->{$sequence.':title'}); -# next; -# } - - my $Dis = ''; - foreach my $problemID (split(':', $cache->{$sequence.':problems'})) { -# $r->print("
problems=$cache->{$sequence.':problems'}"); - my $problem = $cache->{$problemID.':problem'}; -# $r->print("
$problemID === $problem"); - my $LatestVersion = $cache->{$name.':version:'.$problem}; - # Output dashes for all the parts of this problem if there - # is no version information about the current problem. - #if(!$LatestVersion) { - # foreach my $part (split(/\:/,$cache->{$sequence.':'. - # $problemID. - # ':parts'})) { - # $codes .= "-,"; - # $attempts .= "0,"; - # } - # next; - #} - - my %partData=undef; - # Initialize part data, display skips correctly - # Skip refers to when a student made no submissions on that - # part/problem. - foreach my $part (split(/\:/,$cache->{$sequence.':'. - $problemID. - ':parts'})) { - $tempProblemOrder++; -# $r->print("
parts=$cache->{$sequence.':'.$problemID.':parts'}"); - $partData{$part.':order'}=$tempProblemOrder; - $partData{$part.':tries'}=0; - $partData{$part.':code'}='-'; - } +########################################################## +########################################################## +## +## HTML output routines +## +########################################################## +########################################################## +sub output_html_by_sequence { + my ($r) = @_; + my $c = $r->connection(); + $r->print(&html_preamble()); + # + foreach my $seq (@sequences) { + last if ($c->aborted); + $r->print("

".$seq->compTitle."

". + '
'."\n". + ''."\n". + ''. + &statistics_table_header('no container')."\n"); + my @Data = &compute_statistics_on_sequence($seq); + foreach my $data (@Data) { + $r->print(''.&statistics_html_table_data($data, + 'no container'). + "\n"); + } + $r->print('
'."\n".'
'."\n"); + $r->rflush(); + } + return; +} - # Looping through all the versions of each part, starting with the - # oldest version. Basically, it gets the most recent - # set of grade data for each part. - for(my $Version=1; $Version<=$LatestVersion; $Version++) { - foreach my $part (split(/\:/,$cache->{$sequence.':'. - $problemID. - ':parts'})) { - - if(!defined($cache->{$name.":$Version:$problem". - ":resource.$part.solved"})) { - # No grade for this submission, so skip - next; - } +sub output_html_stats { + my ($r)=@_; + &compute_all_statistics($r); + $r->print(&html_preamble()); + &sort_data($env{'form.sortby'}); + # + my $count=0; + foreach my $data (@StatsArray) { + if ($count++ % 50 == 0) { + $r->print("\n\n"); + $r->print('
'."\n". + ''."\n". + ''. + ''. + &statistics_table_header(). + "\n"); + } + $r->print(''.&statistics_html_table_data($data)."\n"); + } + $r->print("
\n
\n"); + return; +} - my $tries=0; - my $time=0; - my $awarded=0; - $Discussed=0; - my $code='-'; - - $awarded = $cache->{$name. - "$Version:$problem:resource.". - "$part.awarded"}; - $partData{$part.':awarded'} = ($awarded) ? $awarded : 0; - $totalAwarded += $awarded; - - $tries = $cache->{$name.":$Version:$problem". - ":resource.$part.tries"}; - $partData{$part.':tries'} = ($tries) ? $tries : 0; - $partData{$part.':wrong'} = $partData{$part.':tries'}; - $totalTries += $tries; - - my $val = $cache->{$name.":$Version:$problem". - ":resource.$part.solved"}; - if ($val eq 'correct_by_student') {$code = 'C';} - elsif ($val eq 'correct_by_override') {$code = 'O';} - elsif ($val eq 'incorrect_attempted') {$code = 'I';} - elsif ($val eq 'incorrect_by_override'){$code = 'I';} - elsif ($val eq 'excused') {$code = 'x';} - $partData{$part.':code'}=$code; - if($partData{$part.':wrong'} ne 0 && - ($code eq 'C' || $code eq 'O')) { - $partData{$part.':wrong'}--; - } - } - } +sub html_preamble { + my $Str=''; + $Str .= "

". + $env{'course.'.$env{'request.course.id'}.'.description'}. + "

\n"; + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + if (defined($starttime) || defined($endtime)) { + # Inform the user what the time limits on the data are. + $Str .= '

'.&mt('Statistics on submissions from [_1] to [_2]', + &Apache::lonlocal::locallocaltime($starttime), + &Apache::lonlocal::locallocaltime($endtime) + ).'

'; + } + $Str .= "

".&mt('Compiled on [_1]', + &Apache::lonlocal::locallocaltime(time))."

"; + return $Str; +} -#$Apache::lonxml::debug=1; -#&Apache::lonhomework::showhash(%partData); -#$Apache::lonxml::debug=0; - - # Loop through all the parts for the current problem in the - # correct order and prepare the output - foreach (split(/\:/,$cache->{$sequence.':'.$problemID. - ':parts'})) { - #$r->print("
".$cache->{$sequence.':title'}); - - my $Yes = 0; - if($partData{$_.':code'} eq 'C' || - $partData{$_.':code'} eq 'O') { - $Yes=1; - } - my $pOrder=$partData{$_.':order'}; - my $ptr = $tempSequenceOrder.':'.$pOrder.':'.$problemID; - if($_ > 1) { - $ptr .= "*(part $_)"; - $Dis .= '&'; - } +############################################### +############################################### +## +## Misc HTML output routines +## +############################################### +############################################### +sub statistics_html_table_data { + my ($data,$options) = @_; + my $row = ''; + foreach my $field (@Fields) { + next if ($options =~ /no $field->{'name'}/); + next if ($field->{'selected'} ne 'yes'); + $row .= '{'align'})) { + $row .= ' align="'.$field->{'align'}.'"'; + } + $row .= '>'; + if (exists($field->{'special'}) && $field->{'special'} eq 'link') { + $row .= ''; + } + if (exists($field->{'format'}) && $data->{$field->{'name'}} !~ /[A-Z]/i) { + $row .= sprintf($field->{'format'},$data->{$field->{'name'}}); + } else { + $row .= $data->{$field->{'name'}}; + } + if (exists($field->{'special'}) && $field->{'special'} eq 'link') { + $row.= ''; + } + $row .= ''; + } + return $row; +} - my ($pr_no,$dod)=split('&',$ptr); -# my $DoDiff=$DoDiff->{$dod}; -# $r->print('
'.$name.'---'.$ptr.'==='.$DoDiff); - - my $Fac = ($partData{$_.':tries'}) ? - ($partData{$_.':awarded'}/$partData{$_.':tries'}) : 0; - my $DisF; - if($Fac > 0 && $Fac < 1) { - $DisF = sprintf( "%.4f", $Fac ); - } else { - $DisF = $Fac; - } +sub statistics_table_header { + my ($options) = @_; + my $header_row; + foreach my $field (@Fields) { + next if ($options =~ /no $field->{'name'}/); + next if ($field->{'selected'} ne 'yes'); + $header_row .= ''; + if (exists($field->{'sortable'}) && $field->{'sortable'} eq 'yes') { + $header_row .= '{'name'}."'". + ';document.Statistics.submit();">'; + } + $header_row .= &mt($field->{'title'}); + if ($options =~ /sortable/) { + $header_row.= ''; + } + if ($options !~ /no plots/ && + exists($field->{'graphable'}) && + $field->{'graphable'} eq 'yes') { + $header_row.=' ('; + $header_row .= ''; + $header_row .= &mt('plot').')'; + } + $header_row .= ''; + } + return $header_row; +} - if ($Discuss->{"$name:$problem"}) { - $TotDiscuss++; - $Discussed=1; - } - my $time = $cache->{"$name:$LatestVersion:$problem:timestamp"}; - $Dis .= $tempSequenceOrder.'@'.$pOrder.'='.$DisF.'+'.$Yes; - $ptr .= '&'.$partData{$_.':tries'}. - '&'.$partData{$_.':wrong'}. - '&'.$partData{$_.':code'}; - push (@$list, $ptr."&$Discussed"); -# $r->print('
'.$_.$name.'---'.$ptr); - -#### if ($DoDiff>0.85) { +sub sequence_html_header { + my $Str .= ''; + foreach my $field (@SeqFields) { +# next if ($field->{'selected'} ne 'yes'); + $Str .= '{'title'}.''; + } + $Str .= ''; + return $Str; +} - $TimeTot += $time; - if ($Yes==1 && $partData{$_.':tries'}==1) { - $TotFirst++; - } -# my $Acts= $Activity->{$name.':'.$problem}; -# if ($Acts) { -# my $Pt=&ProcAct( $Acts, $time ); - #my ($spe,$beg) = split(/\+/,$Pt); -# my $spe= $Pt; -# if ($Yes==1) {$spent_yes += $spe;} -# $spent += $spe; - #$Beg += $beg; -# $r->print('
'.$name.'---'.$problem.'---'.$spe); -# } - $TotalOpend++; - $ProbTot++; +sub sequence_html_output { + my ($seq) = @_; + my $data = $SeqStat{$seq->symb}; + my $row = ''; + foreach my $field (@SeqFields) { + next if ($field->{'selected'} ne 'yes'); + $row .= '{'align'})) { + $row .= ' align="'.$field->{'align'}.'"'; + } + $row .= '>'; + if (exists($field->{'format'})) { + $row .= sprintf($field->{'format'},$data->{$field->{'name'}}); + } else { + $row .= $data->{$field->{'name'}}; + } + $row .= ''; + } + $row .= ''."\n"; + return $row; +} - $tempProblemOrder++; - } +#################################################### +#################################################### +## +## Plotting Routines +## +#################################################### +#################################################### +sub make_plot { + my ($r,$plot) = @_; + &compute_all_statistics($r); + &sort_data($env{'form.sortby'}); + if ($plot eq 'degrees') { + °rees_plot($r); + } elsif ($plot eq 'tries statistics') { + &tries_data_plot($r); + } else { + &make_single_stat_plot($r,$plot); + } + return; +} + +sub make_single_stat_plot { + my ($r,$datafield) = @_; + # + my $title; my $yaxis; + foreach my $field (@Fields) { + next if ($field->{'name'} ne $datafield); + $title = $field->{'long_title'}; + $yaxis = $field->{'title'}; + last; + } + if ($title eq '' || $yaxis eq '') { + # datafield is something we do not know enough about to plot + $r->print('

'. + &mt('Unable to plot the requested statistic.'). + '

'); + return; + } + # + # Build up the data sets to plot + my @Labels; + my @Data; + my $max = 1; + foreach my $data (@StatsArray) { + push(@Labels,$data->{'problem_num'}); + push(@Data,$data->{$datafield}); + if ($data->{$datafield}>$max) { + $max = $data->{$datafield}; } - my $pstr; - if($totalTries) { - my $DisFac = ($totalAwarded/$totalTries); - my $DisFactor = sprintf( "%.4f", $DisFac ); - my $TS = sprintf( "%.2f", $spent ); - my $TS_yes = sprintf( "%.2f", $spent_yes ); - # $DiscFac{$DisFactor}=$Dis; - $pstr=$DisFactor.':'.$name.':'.$ProbTot.':'.$TotalOpend.':'. - $totalTries.':'.$ProbSolved.':'.$TotFirst.':'. - $TS_yes.':'.$TS.':'.$TotDiscuss; - (%$discriminant)->{$pstr}=$Dis; - } } + foreach (1,2,3,4,5,10,15,20,25,40,50,75,100,150,200,250,300,500,600,750, + 1000,1500,2000,2500,3000,3500,4000,5000,7500,10000,15000,20000) { + if ($max <= $_) { + $max = $_; + last; + } + } + if ($max > 20000) { + $max = 10000*(int($max/10000)+1); + } + # + $r->print("

".&Apache::loncommon::DrawBarGraph($title, + 'Problem Number', + $yaxis, + $max, + undef, # colors + \@Labels, + \@Data)."

\n"); + return; } +sub degrees_plot { + my ($r)=@_; + my $count = scalar(@StatsArray); + my $width = 50 + 10*$count; + $width = 300 if ($width < 300); + my $height = 300; + my $plot = ''; + my $ymax = 0; + my $ymin = 0; + my @Disc; my @Diff; my @Labels; + foreach my $data (@StatsArray) { + push(@Labels,$data->{'problem_num'}); + my $disc = $data->{'deg_of_disc'}; + my $diff = $data->{'deg_of_diff'}; + push(@Disc,$disc); + push(@Diff,$diff); + # + $ymin = $disc if ($ymin > $disc); + $ymin = $diff if ($ymin > $diff); + $ymax = $disc if ($ymax < $disc); + $ymax = $diff if ($ymax < $diff); + } + # + # Make sure we show relevant information. + if ($ymin < 0) { + if (abs($ymin) < 0.05) { + $ymin = 0; + } else { + $ymin = -1; + } + } + if ($ymax > 0) { + if (abs($ymax) < 0.05) { + $ymax = 0; + } else { + $ymax = 1; + } + } + # + my $xmax = $Labels[-1]; + if ($xmax > 50) { + if ($xmax % 10 != 0) { + $xmax = 10 * (int($xmax/10)+1); + } + } else { + if ($xmax % 5 != 0) { + $xmax = 5 * (int($xmax/5)+1); + } + } + # + my $discdata .= ''.join(',',@Labels).''.$/. + ''.join(',',@Disc).''.$/; + # + my $diffdata .= ''.join(',',@Labels).''.$/. + ''.join(',',@Diff).''.$/; + # + my $title = 'Degree of Discrimination\nand Degree of Difficulty'; + if ($xmax > 50) { + $title = 'Degree of Discrimination and Degree of Difficulty'; + } + # + $plot=<<"END"; + + + $title + + Problem Number + + $discdata + + + $diffdata + + +END + my $plotresult = + '

'.&Apache::lonxml::xmlparse($r,'web',$plot).'

'.$/; + $r->print($plotresult); + return; +} -=pod -sub MySort { - if ( $Pos > 0 ) { - if ($ENV{'form.order'} eq 'Descending') {$b <=> $a;} - else { $a <=> $b; } - } - else { - if ($ENV{'form.order'} eq 'Descending') {$b cmp $a;} - else { $a cmp $b; } +sub tries_data_plot { + my ($r)=@_; + my $count = scalar(@StatsArray); + my $width = 50 + 10*$count; + $width = 300 if ($width < 300); + my $height = 300; + my $plot = ''; + my @STD; my @Mean; my @Max; my @Min; + my @Labels; + my $ymax = 5; + foreach my $data (@StatsArray) { + my $max = $data->{'mean_tries'} + $data->{'std_tries'}; + $ymax = $max if ($ymax < $max); + $ymax = $max if ($ymax < $max); + push(@Labels,$data->{'problem_num'}); + push(@STD,$data->{'std_tries'}); + push(@Mean,$data->{'mean_tries'}); + } + # + # Make sure we show relevant information. + my $xmax = $Labels[-1]; + if ($xmax > 50) { + if ($xmax % 10 != 0) { + $xmax = 10 * (int($xmax/10)+1); + } + } else { + if ($xmax % 5 != 0) { + $xmax = 5 * (int($xmax/5)+1); + } } + $ymax = int($ymax)+1+2; + # + my $std_data .= ''.join(',',@Labels).''.$/. + ''.join(',',@Mean).''.$/; + # + my $std_error_data .= ''.join(',',@Labels).''.$/. + ''.join(',',@Mean).''.$/. + ''.join(',',@STD).''.$/; + # + my $title = 'Mean and S.D. of Tries'; + if ($xmax > 25) { + $title = 'Mean and Standard Deviation of Tries'; + } + # + $plot=<<"END"; + + $title + + Problem Number + Number of Tries + + $std_error_data + + + $std_data + + +END + my $plotresult = + '

'.&Apache::lonxml::xmlparse($r,'web',$plot).'

'.$/; + $r->print($plotresult); + return; } -=cut +sub plot_dropdown { + my $current = ''; + # + if (defined($env{'form.plot'})) { + $current = $env{'form.plot'}; + } + # + my @Additional_Plots = ( + { graphable=>'yes', + name => 'degrees', + title => 'Difficulty Indexes' }, + { graphable=>'yes', + name => 'tries statistics', + title => 'Tries Statistics' }); + # + my $Str= "\n".''."\n"; + return $Str; +} -sub BuildStatisticsTable { - my ($cache,$discriminantFactor,$list,$headings,$students,$r,$color)=@_; +############################################### +############################################### +## +## Excel output routines +## +############################################### +############################################### +sub Excel_output { + my ($r) = @_; + $r->print('

'.&mt('Preparing Excel Spreadsheet').'

'); + ## + ## Compute the statistics + &compute_all_statistics($r); + my $c = $r->connection; + return if ($c->aborted()); + # + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + ## + ## Create the excel workbook + my ($excel_workbook,$filename,$format) = + &Apache::loncommon::create_workbook($r); + return if (! defined($excel_workbook)); + # + # Add a worksheet + my $sheetname = $env{'course.'.$env{'request.course.id'}.'.description'}; + if (length($sheetname) > 31) { + $sheetname = substr($sheetname,0,31); + } + my $excel_sheet = $excel_workbook->addworksheet( + &Apache::loncommon::clean_excel_name($sheetname)); + ## + ## Begin creating excel sheet + ## + my ($rows_output,$cols_output) = (0,0); + # + # Put the course description in the header + $excel_sheet->write($rows_output,$cols_output++, + $env{'course.'.$env{'request.course.id'}.'.description'}, + $format->{'h1'}); + $cols_output += 3; + # + # Put a description of the sections listed + my $sectionstring = ''; + $excel_sheet->write($rows_output,$cols_output++, + &Apache::lonstatistics::section_and_enrollment_description('plaintext'), + $format->{'h3'}); + $cols_output += scalar(&Apache::lonstatistics::get_selected_sections()); + $cols_output += scalar(&Apache::lonstatistics::get_selected_groups()); + # + # Time restrictions + my $time_string; + if (defined($starttime)) { + # call localtime but not lonlocal:locallocaltime because excel probably + # cannot handle localized text. Probably. + $time_string .= 'Data collected from '.localtime($time_string); + if (defined($endtime)) { + $time_string .= ' to '.localtime($endtime); + } + $time_string .= '.'; + } elsif (defined($endtime)) { + # See note above about lonlocal:locallocaltime + $time_string .= 'Data collected before '.localtime($endtime).'.'; + } + if (defined($time_string)) { + $excel_sheet->write($rows_output,$cols_output++,$time_string); + $cols_output+= 5; + } + # + # Put the date in there too + $excel_sheet->write($rows_output,$cols_output++, + 'Compiled on '.localtime(time)); + # + $rows_output++; + $cols_output=0; + ## + ## Sequence Statistics + ## + &write_headers($excel_sheet,$format,\$rows_output,\$cols_output, + \@SeqFields); + foreach my $seq (@sequences) { + my $data = $SeqStat{$seq->symb}; + $cols_output=0; + foreach my $field (@SeqFields) { + next if ($field->{'selected'} ne 'yes'); + my $fieldformat = undef; + if (exists($field->{'excel_format'})) { + $fieldformat = $format->{$field->{'excel_format'}}; + } + $excel_sheet->write($rows_output,$cols_output++, + $data->{$field->{'name'}},$fieldformat); + } + $rows_output++; + $cols_output=0; + } + ## + ## Resource Statistics + ## + $rows_output++; + $cols_output=0; + &write_headers($excel_sheet,$format,\$rows_output,\$cols_output, + \@Fields); + # + foreach my $data (@StatsArray) { + $cols_output=0; + foreach my $field (@Fields) { + next if ($field->{'selected'} ne 'yes'); + next if ($field->{'name'} eq 'problem_num'); + my $fieldformat = undef; + if (exists($field->{'excel_format'})) { + $fieldformat = $format->{$field->{'excel_format'}}; + } + $excel_sheet->write($rows_output,$cols_output++, + $data->{$field->{'name'}},$fieldformat); + } + $rows_output++; + $cols_output=0; + } + # + $excel_workbook->close(); + # + # Tell the user where to get their excel file + $r->print('
'. + ''. + &mt('Your Excel Spreadsheet').''."\n"); + $r->rflush(); + return; +} - my $NoElements = scalar @$list; - my @List=sort(@$list); +## +## &write_headers +## +sub write_headers { + my ($excel_sheet,$format,$rows_output,$cols_output,$Fields) = @_; + ## + ## First the long titles + foreach my $field (@{$Fields}) { + next if ($field->{'name'} eq 'problem_num'); + next if ($field->{'selected'} ne 'yes'); + if (exists($field->{'long_title'})) { + $excel_sheet->write($$rows_output,${$cols_output}, + $field->{'long_title'}, + $format->{'bold'}); + } else { + $excel_sheet->write($$rows_output,${$cols_output},''); + } + ${$cols_output}+= 1; + } + ${$cols_output} =0; + ${$rows_output}+=1; + ## + ## Then the short titles + foreach my $field (@{$Fields}) { + next if ($field->{'selected'} ne 'yes'); + next if ($field->{'name'} eq 'problem_num'); + # Use english for excel as I am not sure how well excel handles + # other character sets.... + $excel_sheet->write($$rows_output,$$cols_output, + $field->{'title'}, + $format->{'bold'}); + $$cols_output+=1; + } + ${$cols_output} =0; + ${$rows_output}+=1; + return; +} -#6666666 -# my $file="/home/httpd/perl/tmp/183d.txt"; -# open(OUT, ">$file"); -#6666666 -## &Apache::lonstatistics::Create_PrgWin($r); -##777777 -## my (%Activity) = &LoadActivityLog(); -## $r->print(''); -## my ($doDiffFile) = &LoadDoDiffFile(); - -##777777 -## $Str .= &Classify($discriminantFactor, $students); - - my $p_count = 0; - my $dummy; - my $p_val; - my $ResId; - my %GraphDat; - my $cIdx=0; - - foreach my $sequence (split(':', $cache->{'orderedSequences'})) { - - &CreateProblemStatisticsTableHeading(1,$cache->{$sequence.':source'}, - $cache->{$sequence.':title'}, - $headings,$r); - - my ($tar,$Tries,$Wrongs,$Code,$Disc)=split(/\&/, - $List[$cIdx]); - - my ($SqOrd,$PrOrd,$Prob)=split(/\:/,$tar); - $sequence+=100; - while ($SqOrd==$sequence && $cIdx<$NoElements) { - my %storestats=(); - my $pOrd=$PrOrd; - my $Temp = $Prob; - my $MxTries = 0; - my $TotalTries = 0; - my $YES = 0; - my $Incorrect = 0; - my $Override = 0; - my $StdNo = 0; - my $DiscNo=0; - my @StdLst; - while ($pOrd==$PrOrd && $cIdx<$NoElements) - { - $cIdx++; - $StdNo++; - $StdLst[ $StdNo ] = $Tries; - $TotalTries += $Tries; - if ( $MxTries < $Tries ) { $MxTries = $Tries; } - if ( $Code eq 'C' ){ $YES++; } - elsif( $Code eq 'I' ) { $Incorrect++; } - elsif( $Code eq 'O' ) { $Override++; } - elsif( $Code eq '-' ) { $StdNo--; } - ($tar,$Tries,$Wrongs,$Code,$Disc)=split(/\&/, - $List[$cIdx]); - ($SqOrd,$PrOrd,$Prob)=split(/\:/,$tar); - } - - $p_count++; - my $Dummy; - ($ResId,$Dummy)=split(/\*/,$Temp); - -###################### - $Temp = ''.$cache->{$ResId.':title'}.$Dummy.''; - - my $res = &Apache::lonnet::declutter($cache->{'src_'.$ResId}); - my $urlres=$res; - - $ResId=~/(\d+)\.(\d+)/; - my $Map = &Apache::lonnet::declutter( $cache->{'map_id_'.$1} ); - $urlres=$Map; -####################### - -# $res = ''.$res.''; - #$Map = ''.$res.''; - -#------------------------ Compute the Average of Tries about one problem - my $Average = ($StdNo) ? $TotalTries/$StdNo : 0; - - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___timestamp'}=time; - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___stdno'}=$StdNo; - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___avetries'}=$Average; - -#-------------------------------- Compute percentage of Wrong tries - my $Wrong = ( $StdNo ) ? 100 * ( $Incorrect / $StdNo ) : 0; - -#-------------------------------- Compute Standard Deviation - my $StdDev = 0; - if ( $StdNo > 1 ) { - for ( my $n = 0; $n < $StdNo; $n++ ) { - my $Dif = $StdLst[ $n ]-$Average; - $StdDev += $Dif*$Dif; - } - $StdDev /= ( $StdNo - 1 ); - $StdDev = sqrt( $StdDev ); - } - -#-------------------------------- Compute Degree of Difficulty - my $DoDiff = 0; - if( $TotalTries > 0 ) { - $DoDiff = 1 - ( ( $YES + $Override ) / $TotalTries ); -# $DoDiff = ($TotalTries)/($YES + $Override+ 0.1); - } - - $storestats{$ENV{'request.course.id'}.'___'.$urlres.'___difficulty'}=$DoDiff; - -#-------------------------------- Compute the Skewness - my $Skewness = 0; - my $Sum = 0; - if ( $StdNo > 0 && $StdDev > 0 ) { - for ( my $n = 0; $n < $StdNo; $n++ ) { - my $Dif = $StdLst[ $n ]-$Average; - $Skewness += $Dif*$Dif*$Dif; - } - $Skewness /= $StdNo; - $Skewness /= $StdDev*$StdDev*$StdDev; - } - -#--------------------- Compute the Discrimination Factors - my ($Up1,$Up2)=split(/\:/,':');#jason$DisUp->{$lpr[$i]}); - my ($Lw1,$Lw2)=split(/\:/,':');#jason$DisLow->{$lpr[$i]}); - my $Dis1 = $Up1 - $Lw1; - my $Dis2 = $Up2 - $Lw2; - my $_D1 = sprintf("%.2f", $Dis1); - my $_D2 = sprintf("%.2f", $Dis2); - -#----------------- Some restition in presenting the float numbers - my $Avg = sprintf( "%.2f", $Average ); - my $Wrng = sprintf( "%.1f", $Wrong ); - my $SD = sprintf( "%.1f", $StdDev ); - my $DoD = sprintf( "%.2f", $DoDiff ); - my $Sk = sprintf( "%.1f", $Skewness ); - my $join = $Prob.'&'.$Temp.'&'.$StdNo.'&'. - $TotalTries.'&'.$MxTries.'&'.$Avg.'&'. - $YES.'&'.$Override.'&'.$Wrng.'&'.$DoD.'&'. - $SD.'&'.$Sk.'&'.$_D1.'&'.$_D2.'&'. - $DiscNo.'&'.$Prob; -##8888 $CachData{($p_count-1)}=$join; - -#6666666 -# $r->print('
'.$out.'&'.$DoD); -# print (OUT $out.'@'.$DoD.'&'); -#6666666 - - $urlres=~/^(\w+)\/(\w+)/; - if ($StdNo) { - &Apache::lonnet::put('resevaldata',\%storestats,$1,$2); - } -#-------------------------------- Row of statistical table - &TableRow($cache,$join,$cIdx,($p_count-1),$r,$color,\%GraphDat); - } - &CloseTable($cache,$r); - } -### &Close_PrgWin(); -#666666 -# close( OUT ); -#666666 +################################################## +################################################## +## +## Statistics Gathering and Manipulation Routines +## +################################################## +################################################## +sub compute_statistics_on_sequence { + my ($seq) = @_; + my @Data; + foreach my $res (&Apache::lonstathelpers::get_resources($navmap,$seq)) { + foreach my $part (@{$res->parts}) { + next if ($res->is_survey($part)); + # + # This is where all the work happens + my $data = &get_statistics($seq,$res,$part,scalar(@StatsArray)+1); + push (@Data,$data); + push (@StatsArray,$data); + } + } + return @Data; } -=pod -sub Cache_Statistics { - my ($cache,$color)=@_; - my @list = (); - my $Useful; - my $UnUseful; -# $r->print(''."\n"); - my %myHeader = reverse( %Header ); - $Pos = $myHeader{$ENV{'form.sort'}}; - if ($Pos > 0) {$Pos++;} - my $p_count = 0; - foreach my $key( keys %CachData) { - my @Temp=split(/\&/,$CachData{$key}); - if ( $Pos == 0 ) { - ($UnUseful,$Useful)=split(/\>/,$Temp[$Pos]); - } - else { - $Useful = $Temp[$Pos]; - } - $list[$p_count]=$Useful.'@'.$CachData{$key}; - $p_count++; - } - - @list = sort MySort (@list); - - my $nIndex=0; - - if ( $Pos == 0 ) { - foreach (sort keys %mapsort) { - my ($Hid,$pr)=split(/\:/,$mapsort{$_}); - &CreateProblemStatisticsTableHeading($cache,1,$Hid); - my @lpr=split(/\&/,$pr); - for (my $i=1; $i<=$#lpr; $i++) { - my($Pre, $Post) = split(/\@/,$list[$nIndex]); - #$r->print('
'.$Pre.'---'.$Post); - &TableRow($cache,$Post,$i,$nIndex,$color,\%GraphDat); - $nIndex++; - } - &CloseTable($cache); - } - } - else { - &CreateProblemStatisticsTableHeading($cache,0); - for ( my $nIndex = 0; $nIndex < $p_count; $nIndex++ ) { - my($Pre, $Post) = split(/\@/,$list[$nIndex]); - &TableRow($cache,$Post,$nIndex,$nIndex,$color,\%GraphDat); - } - &CloseTable($cache); - } -} -=cut - -sub TableRow { - my ($cache,$Str,$Idx,$RealIdx,$r,$color,$GraphDat)=@_; - my($PrOrd,$Temp,$StdNo,$TotalTries,$MxTries,$Avg,$YES,$Override, - $Wrng,$DoD,$SD,$Sk,$_D1,$_D2,$DiscNo,$Prob)=split(/\&/,$Str); -# $r->print('
'.$Str); - if ($ENV{'form.showcsv'}) { - my ($ResId,$Dummy)=split(/\*/,$Prob); - my $Ptr = "\n".'
'. - "\n".'"'.($RealIdx+1).'",'. - "\n".'"'.$cache->{'title_'.$ResId}.$Dummy.'",'. - "\n".'"'.$cache->{'src_'.$ResId}.'",'. - "\n".'"'.$StdNo.'",'. - "\n".'"'.$TotalTries.'",'. - "\n".'"'.$MxTries.'",'. - "\n".'"'.$Avg.'",'. - "\n".'"'.$YES.'",'. - "\n".'"'.$Override.'",'. - "\n".'"'.$Wrng.'",'. - "\n".'"'.$DoD.'",'. - "\n".'"'.$SD.'",'. - "\n".'"'.$Sk.'",'. - "\n".'"'.$_D1.'",'. - "\n".'"'.$_D2.'"'. - "\n".'"'.$DiscNo.'"'; - - $r->print("\n".$Ptr); - } - else{ - my $Ptr = "\n".''. - "\n".''.($RealIdx+1).''. - # "\n".''.$PrOrd.$Temp.''. - "\n".''.$Temp.''. - "\n".' '.$StdNo.''. - "\n".''.$TotalTries.''. - "\n".''.$MxTries.''. - "\n".''.$Avg.''. - "\n".' '.$YES.''. - "\n".' '.$Override.''. - "\n".' '.$Wrng.''. - "\n".' '.$DoD.''. - "\n".' '.$SD.''. - "\n".' '.$Sk.''. - "\n".' '.$_D1.''. - "\n".' '.$_D2.''. - "\n".' '.$DiscNo.''; - $r->print("\n".$Ptr.'' ); - } -# $GraphDat->{$RealIdx}=$DoD.':'.$Wrng; -} - - -# For loading the colored table for display or un-colored for print -sub setbgcolor { - my $PrintTable=shift; - my %color; - if ($PrintTable){ - $color{"gb"}="#FFFFFF"; - $color{"red"}="#FFFFFF"; - $color{"yellow"}="#FFFFFF"; - $color{"green"}="#FFFFFF"; - $color{"purple"}="#FFFFFF"; - } else { - $color{"gb"}="#DDFFFF"; - $color{"red"}="#FFDDDD"; - $color{"yellow"}="#EEFFCC"; - $color{"green"}="#DDFFDD"; - $color{"purple"}="#FFDDFF"; +sub compute_all_statistics { + my ($r) = @_; + if (@StatsArray > 0) { + # Assume we have already computed the statistics + return; + } + my $c = $r->connection; + foreach my $seq (@sequences) { + last if ($c->aborted); + &compute_sequence_statistics($seq); + &compute_statistics_on_sequence($seq); } +} - return \%color; +sub sort_data { + my ($sortkey) = @_; + return if (! @StatsArray); + # + # Sort the data + my $sortby = undef; + foreach my $field (@Fields) { + if ($sortkey eq $field->{'name'}) { + $sortby = $field->{'name'}; + } + } + if (! defined($sortby) || $sortby eq '' || $sortby eq 'problem_num') { + $sortby = 'container'; + } + if ($sortby ne 'container') { + # $sortby is already defined, so we can charge ahead + if ($sortby =~ /^(title|part)$/i) { + # Alpha comparison + @StatsArray = sort { + lc($a->{$sortby}) cmp lc($b->{$sortby}) || + lc($a->{'title'}) cmp lc($b->{'title'}) || + lc($a->{'part'}) cmp lc($b->{'part'}); + } @StatsArray; + } else { + # Numerical comparison + @StatsArray = sort { + my $retvalue = 0; + if ($b->{$sortby} eq 'nan') { + if ($a->{$sortby} ne 'nan') { + $retvalue = -1; + } else { + $retvalue = 0; + } + } + if ($a->{$sortby} eq 'nan') { + if ($b->{$sortby} ne 'nan') { + $retvalue = 1; + } + } + if ($retvalue eq '0') { + $retvalue = $b->{$sortby} <=> $a->{$sortby} || + lc($a->{'title'}) <=> lc($b->{'title'}) || + lc($a->{'part'}) <=> lc($b->{'part'}); + } + $retvalue; + } @StatsArray; + } + } + # + # Renumber the data set + my $count; + foreach my $data (@StatsArray) { + $data->{'problem_num'} = ++$count; + } + return; } +######################################################## +######################################################## -sub StatusOptions { - my ($cache)=@_; +=pod + +=item &get_statistics() + +Wrapper routine from the call to loncoursedata::get_problem_statistics. +Calls lonstathelpers::get_time_limits() to limit the data set by time +and &compute_discrimination_factor - my $Status = $cache->{'Status'}; - my $OpSel1 = ''; - my $OpSel2 = ''; - my $OpSel3 = ''; +Inputs: $sequence, $resource, $part, $problem_num - if($Status eq 'Any') { $OpSel3 = ' selected'; } - elsif($Status eq 'Expired' ) { $OpSel2 = ' selected'; } - else { $OpSel1 = ' selected'; } +Returns: Hash reference with statistics data from +loncoursedata::get_problem_statistics. - my $Ptr = ''; - $Ptr .= 'Student Status:'."\n"; - $Ptr .= ''."\n"; +=cut - return $Ptr; +######################################################## +######################################################## +sub get_statistics { + my ($sequence,$resource,$part,$problem_num) = @_; + # + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + my $symb = $resource->symb; + my $courseid = $env{'request.course.id'}; + # + my $data = &Apache::loncoursedata::get_problem_statistics + ([&Apache::lonstatistics::get_selected_sections()], + [&Apache::lonstatistics::get_selected_groups()], + $Apache::lonstatistics::enrollment_status, + $symb,$part,$courseid,$starttime,$endtime); + $data->{'symb'} = $symb; + $data->{'part'} = $part; + $data->{'problem_num'} = $problem_num; + $data->{'container'} = $sequence->compTitle; + $data->{'title'} = $resource->compTitle; + $data->{'title.link'} = $resource->src.'?symb='. + &escape($resource->symb); + # + if ($SelectedFields{'deg_of_disc'}) { + $data->{'deg_of_disc'} = + &compute_discrimination_factor($resource,$part,$sequence); + } + # + # Store in metadata if computations were done for all students + if ($data->{'num_students'} > 1) { + my @Sections = &Apache::lonstatistics::get_selected_sections(); + my $sections = '"'.join(' ',@Sections).'"'; + $sections =~ s/&+/_/g; # Ensure no special characters + $data->{'sections'}=$sections; + $data->{'course'} = $env{'request.course.id'}; + my $urlres=(&Apache::lonnet::decode_symb($resource->symb))[2]; + $data->{'urlres'}=$urlres; + my %storestats = + &LONCAPA::lonmetadata::dynamic_metadata_storage($data); + my ($dom,$user) = ($urlres=~m{^($LONCAPA::domain_re)/($LONCAPA::username_re)}); + &Apache::lonnet::put('nohist_resevaldata',\%storestats,$dom,$user); + } + # + $data->{'tries_per_correct'} = $data->{'tries'} / + ($data->{'num_solved'}+0.1); + # + # Get the due date for research purposes (commented out most of the time) +# $data->{'duedate'} = +# &Apache::lonnet::EXT('resource.'.$part.'.duedate',$symb); +# $data->{'opendate'} = +# &Apache::lonnet::EXT('resource.'.$part.'.opendate',$symb); +# $data->{'maxtries'} = +# &Apache::lonnet::EXT('resource.'.$part.'.maxtries',$symb); +# $data->{'hinttries'} = +# &Apache::lonnet::EXT('resource.'.$part.'.hinttries',$symb); + $data->{'weight'} = + &Apache::lonnet::EXT('resource.'.$part.'.weight',$symb); +# $data->{'resptypes'} = join(',',@{$resource->{'partdata'}->{$part}->{'ResponseTypes'}}); + return $data; } -sub AscendOrderOptions { - my ($order)=@_; +############################################### +############################################### + +=pod - my $OpSel1 = ''; - my $OpSel2 = ''; +=item &compute_discrimination_factor() - if($order eq 'Ascending') { - $OpSel1 = ' selected'; +Inputs: $Resource, $Sequence + +Returns: integer between -1 and 1 + +=cut + +############################################### +############################################### +sub compute_discrimination_factor { + my ($resource,$part,$seq) = @_; + my $symb = $resource->symb; + my @Resources; + foreach my $res (&Apache::lonstathelpers::get_resources($navmap,$seq)){ + next if ($res->symb eq $symb); + push (@Resources,$res->symb); + } + # + # rank + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + my $ranking = + &Apache::loncoursedata::rank_students_by_scores_on_resources + (\@Resources, + [&Apache::lonstatistics::get_selected_sections()], + [&Apache::lonstatistics::get_selected_groups()], + $Apache::lonstatistics::enrollment_status,undef, + $starttime,$endtime, $symb); + # + # compute their percent scores on the problems in the sequence, + my $number_to_grab = int(scalar(@{$ranking})/4); + my $num_students = scalar(@{$ranking}); + my @BottomSet = map { $_->[&Apache::loncoursedata::RNK_student()]; + } @{$ranking}[0..$number_to_grab]; + my @TopSet = + map { + $_->[&Apache::loncoursedata::RNK_student()]; + } @{$ranking}[-$number_to_grab..0]; + if (! @BottomSet || (@BottomSet == 1 && $BottomSet[0] eq '') || + ! @TopSet || (@TopSet == 1 && $TopSet[0] eq '')) { + return 'nan'; + } + my ($bottom_sum,$bottom_max) = + &Apache::loncoursedata::get_sum_of_scores($symb,$part,\@BottomSet, + undef,$starttime,$endtime); + my ($top_sum,$top_max) = + &Apache::loncoursedata::get_sum_of_scores($symb,$part,\@TopSet, + undef,$starttime,$endtime); + my $deg_of_disc; + if ($top_max == 0 || $bottom_max==0) { + $deg_of_disc = 'nan'; } else { - $OpSel2 = ' selected'; + $deg_of_disc = ($top_sum/$top_max) - ($bottom_sum/$bottom_max); } + #&Apache::lonnet::logthis(' '.$top_sum.'/'.$top_max. + # ' - '.$bottom_sum.'/'.$bottom_max); + return $deg_of_disc; +} - my $Ptr = ''; - $Ptr .= 'Sorting Type:'."\n"; - $Ptr .= ''."\n"; - - return $Ptr; -} - -sub ProblemStatisticsButtons { - my ($displayFormat)=@_; - - my $Ptr = ''; - $Ptr .= 'symb; + my @Resources; + my $part_count; + foreach my $res (&Apache::lonstathelpers::get_resources($navmap,$seq)) { + push (@Resources,$res->symb); + $part_count += scalar(@{$res->parts}); + } + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + # + # First compute statistics based on student scores + my ($smin,$smax,$sMean,$sSTD,$scount,$sMAX) = + &Apache::loncoursedata::score_stats + ([&Apache::lonstatistics::get_selected_sections()], + [&Apache::lonstatistics::get_selected_groups()], + $Apache::lonstatistics::enrollment_status, + \@Resources,$starttime,$endtime,undef); + $SeqStat{$symb}->{'title'} = $seq->compTitle; + $SeqStat{$symb}->{'scoremax'} = $smax; + $SeqStat{$symb}->{'scoremin'} = $smin; + $SeqStat{$symb}->{'scoremean'} = $sMean; + $SeqStat{$symb}->{'scorestd'} = $sSTD; + $SeqStat{$symb}->{'scorecount'} = $scount; + $SeqStat{$symb}->{'max_possible'} = $sMAX; + # + # Compute statistics based on the number of correct problems + # 'correct' is taken to mean + my ($cmin,$cmax,$cMean,$cSTD,$ccount)= + &Apache::loncoursedata::count_stats + ([&Apache::lonstatistics::get_selected_sections()], + [&Apache::lonstatistics::get_selected_groups()], + $Apache::lonstatistics::enrollment_status, + \@Resources,$starttime,$endtime,undef); + my $K = $part_count; + my $kr_21; + if ($K > 1 && $cSTD > 0) { + $kr_21 = ($K/($K-1)) * (1 - $cMean*($K-$cMean)/($K*$cSTD**2)); } else { - $Ptr .= 'value="Display Table Format" />'."\n"; + $kr_21 = 'nan'; } - $Ptr .= ''; - - return $Ptr; + $SeqStat{$symb}->{'countmax'} = $cmax; + $SeqStat{$symb}->{'countmin'} = $cmin; + $SeqStat{$symb}->{'countstd'} = $cSTD; + $SeqStat{$symb}->{'countmean'} = $cMean; + $SeqStat{$symb}->{'count'} = $ccount; + $SeqStat{$symb}->{'items'} = $K; + $SeqStat{$symb}->{'KR-21'}=$kr_21; + return; } -sub ProblemStatisticsLegend { - my $Ptr = ''; - $Ptr = ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= '
'; - $Ptr .= '#StdntsTotal Number of Students opened the problem.'; - $Ptr .= '
'; - $Ptr .= 'TriesTotal Number of Tries for solving the problem.'; - $Ptr .= '
'; - $Ptr .= 'ModMaximunm Number of Tries for solving the problem.'; - $Ptr .= '
'; - $Ptr .= 'MeanAverage Number of the tries. [ Tries / #Stdnts ]'; - $Ptr .= '
'; - $Ptr .= '#YESNumber of students solved the problem correctly.'; - $Ptr .= '
'; - $Ptr .= '#yesNumber of students solved the problem by override.'; - $Ptr .= '
'; - $Ptr .= '%WrngPercentage of students tried to solve the problem '; - $Ptr .= 'but still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ]'; - $Ptr .= '
'; - $Ptr .= 'DoDiffDegree of Difficulty of the problem. '; - $Ptr .= '[ 1 - ((#YES+#yes) / Tries) ]'; - $Ptr .= '
'; - $Ptr .= 'S.D.Standard Deviation of the tries. '; - $Ptr .= '[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) '; - $Ptr .= 'where Xi denotes every student\'s tries ]'; - $Ptr .= '
'; - $Ptr .= 'Skew.Skewness of the students tries.'; - $Ptr .= '[(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)]'; - $Ptr .= '
'; - $Ptr .= 'Dis.F.Discrimination Factor: A Standard for evaluating the '; - $Ptr .= 'problem according to a Criterion
'; - $Ptr .= '[Applied Criterion in %27 Upper Students - '; - $Ptr .= 'Applied the same Criterion in %27 Lower Students]
'; - $Ptr .= '1st Criterion for Sorting the Students: '; - $Ptr .= 'Sum of Partial Credit Awarded / Total Number of Tries
'; - $Ptr .= '2nd Criterion for Sorting the Students: '; - $Ptr .= 'Total number of Correct Answers / Total Number of Tries'; - $Ptr .= '
Disc.Number of Students had at least one discussion.'; - $Ptr .= '
'; - - return $Ptr; -} - -#------- Processing upperlist and lowerlist according to each problem -sub ProcessDiscriminant { - my ($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<$Count) { - ($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).':'.$nStudent; - $Proc{$Temp}=($Sum1/$nStudent).':'.($Sum2/$nStudent); -# $r->print("$nIndex) $Temp --> ($nStudent) $Proc{$Temp}
"); - $Sum1=0; - $Sum2=0; - $nStudent=0; - } - - return %Proc; -} - -#------- Creating Discimination factor -sub Discriminant { - my ($discriminantFactor)=@_; - my @discriminantKeys=keys(%$discriminantFactor); - 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 $str=$discriminantFactor->{$key}; - foreach(split(/\:/,$str)){ - if($_) { - if($low<$UpCnt) { push(@LowList,$_); } - else { push(@UpList,$_); } - } - } - } - } - my %DisUp = &ProcessDiscriminant(\@UpList); - my %DisLow = &ProcessDiscriminant(\@LowList); - return (\%DisUp, \%DisLow); -} - +=pod -#---- END Problem Statistics Web Page ---------------------------------------- +=item ProblemStatisticsLegend -#---- Problem Statistics Graph Web Page -------------------------------------- +=over 4 -# ------------------------------------------- Prepare data for Graphical chart +=item #Stdnts +Total number of students attempted the problem. -sub BuildDiffGraph { - my ($r)=@_; +=item Tries +Total number of tries for solving the problem. - my $graphData = &GetGraphData('DiffGraph', $r); - return ''; -} +=item Max Tries +Largest number of tries for solving the problem by a student. -sub BuildWrongGraph { - my ($r)=@_; +=item Mean +Average number of tries. [ Tries / #Stdnts ] - my $graphData = &GetGraphData('WrongGraph', $r); - return ''; -} +=item #YES +Number of students solved the problem correctly. +=item #yes +Number of students solved the problem by override. -sub GetGraphData { - my ($ylab,$r,%GraphDat)=@_; - my $Col; - my $data=''; - my $count = 0; - my $Max = 0; - my $cid=$ENV{'request.course.id'}; - my $GraphDB = "/home/httpd/perl/tmp/$ENV{'user.name'}". - "_$ENV{'user.domain'}_$cid\_graph.db"; - foreach (keys %GraphDat) {delete $GraphDat{$_};} - if (-e "$GraphDB") { - if (tie(%GraphDat,'GDBM_File',"$GraphDB",&GDBM_READER,0640)) { - if ( $ylab eq 'DoDiff Graph' ) { - $ylab = 'Degree-of-Difficulty'; - $Col = 0; - } - else { - $ylab = 'Wrong-Percentage'; - $Col = 1; - } - foreach (sort NumericSort keys %GraphDat) { - my @Temp=split(/\:/,$GraphDat{$_}); - my $inf = $Temp[$Col]; - if ( $Max < $inf ) {$Max = $inf;} - $data .= $inf.','; - $count++; - } - if ( $Max > 1 ) { - $Max += (10 - $Max % 10); - $Max = int($Max); - } - else { $Max = 1; } - untie(%GraphDat); - my $Course = $ENV{'course.'.$cid.'.description'}; - $Course =~ s/\ /"_"/eg; - my $GData=$Course.'&'.'Problems'.'&'.$ylab.'&'. - $Max.'&'.$count.'&'.$data; - } - else { - $r->print("Unable to tie hash to db file"); - } - } -} +=item %Wrong +Percentage of students who tried to solve the problem +but is still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ] + +=item DoDiff +Degree of Difficulty of the problem. +[ 1 - ((#YES+#yes) / Tries) ] + +=item S.D. +Standard Deviation of the tries. +[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) +where Xi denotes every student\'s tries ] + +=item Skew. +Skewness of the students tries. +[(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)] + +=item Dis.F. +Discrimination Factor: A Standard for evaluating the +problem according to a Criterion
+ +=item [Criterion to group students into %27 Upper Students - +and %27 Lower Students] +1st Criterion for Sorting the Students: +Sum of Partial Credit Awarded / Total Number of Tries +2nd Criterion for Sorting the Students: +Total number of Correct Answers / Total Number of Tries + +=item Disc. +Number of Students had at least one discussion. + +=back + +=cut +############################################################ +############################################################ 1; __END__