--- loncom/interface/statistics/lonproblemstatistics.pm 2002/08/15 14:15:20 1.30 +++ loncom/interface/statistics/lonproblemstatistics.pm 2004/05/14 20:30:17 1.85 @@ -1,7 +1,6 @@ # The LearningOnline Network with CAPA -# (Publication Handler # -# $Id: lonproblemstatistics.pm,v 1.30 2002/08/15 14:15:20 stredwic Exp $ +# $Id: lonproblemstatistics.pm,v 1.85 2004/05/14 20:30:17 matthew Exp $ # # Copyright Michigan State University Board of Trustees # @@ -26,799 +25,1689 @@ # 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 -# 5/12,5/14,5/15,5/19,5/26,7/16,7/25,7/29,8/5 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::loncommon(); use Apache::lonhtmlcommon; use Apache::loncoursedata; -use GDBM_File; - -my $jr; - -sub InitializeProblemStatistics { - my ($cacheDB, $students, $courseID, $c, $r)=@_; - my %cache; - - $jr = $r; - - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database1.'); - return ('ERROR', undef); - } - - # Remove students who don't have the proper section. - my @sectionsSelected = split(':',$cache{'sectionsSelected'}); - for(my $studentIndex=((scalar @$students)-1); $studentIndex>=0; - $studentIndex--) { - my $value = $cache{$students->[$studentIndex].':section'}; - my $found = 0; - foreach (@sectionsSelected) { - if($_ eq 'none') { - if($value eq '' || !defined($value) || $value eq ' ') { - $found = 1; - last; - } - } else { - if($value eq $_) { - $found = 1; - last; - } +use Apache::lonstatistics; +use LONCAPA::lonmetadata(); +use Apache::lonlocal; +use Spreadsheet::WriteExcel; +use Apache::lonstathelpers(); +use Time::HiRes; + +my @StatsArray; +my %SeqStat; # keys are symbs, values are hash refs + +## +## 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 => 'num_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 => 'no', + }, +## 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', +# }, +); + +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'}},$field->{'name'}); } } - if($found == 0) { - splice(@$students, $studentIndex, 1); + } + # + # Make sure the data we are plotting is there + my %NeededFields; + if (exists($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'}}++; } } - - my $isNotCached = 0; - my $lastStatus = (defined($cache{'StatisticsLastStatus'})) ? - $cache{'StatisticsLastStatus'} : 'Nothing'; - my $whichStudents = join(':::',sort(@$students)); - if(!defined($cache{'StatisticsCached'}) || - $lastStatus ne $cache{'Status'} || - $whichStudents ne $cache{'StatisticsWhichStudents'}) { - $isNotCached = 1; + # + # This should not happen, but in case it does... + if (ref($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'}}++; + } + } } - - untie(%cache); - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_WRCREAT(),0640)) { - $r->print('Unable to tie database.2'); - return ('ERROR', undef); + # + # Always show all the sequence statistics (for now) + foreach my $field (@SeqFields) { + $field->{'selected'} = 'yes'; } - if($isNotCached && defined($cache{'StatisticsCached'})) { - my @statkeys = split(':::', $cache{'StatisticsKeys'}); - delete $cache{'StatisticsKeys'}; - delete $cache{'StatisticsCached'}; - foreach(@statkeys) { - delete $cache{$_}; + return; +} + +sub field_selection_input { + my $Str = '\n"; +} - untie(%cache); - if($isNotCached) { - &Apache::loncoursedata::DownloadStudentCourseDataSeparate($students, - 'true', - $cacheDB, - 'true', - 'true', - $courseID, - $r, $c); - } - if($c->aborted()) { return ('ERROR', undef); } +############################################### +############################################### - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.3'); - return ('ERROR', undef); - } - my $problemData; - if($isNotCached) { - ($problemData) = &ExtractStudentData(\%cache, $students); - &CalculateStatistics($problemData, \%cache, $courseID); - } - untie(%cache); +=pod + +=item &CreateInterface() + +Create the main intereface for the statistics page. Allows the user to +select sections, maps, and output. + +=cut + +############################################### +############################################### +sub CreateInterface { + # + &parse_field_selection(); + # + my $Str = ''; + $Str .= &Apache::lonhtmlcommon::breadcrumbs + (undef,'Overall Problem Statistics','Statistics_Overall_Key'); + $Str .= ''."\n"; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''; + $Str .= ''."\n"; + # + $Str .= ''."\n"; + $Str .= '
'.&mt('Sections').''.&mt('Enrollment Status').''.&mt('Sequences and Folders').''.&mt('Statistics').''. + &Apache::lonstathelpers::limit_by_time_form().'
'."\n"; + $Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5); + $Str .= ''; + $Str .= &Apache::lonhtmlcommon::StatusOptions(undef,undef,5); + $Str .= ''; + # + my $only_seq_with_assessments = sub { + my $s=shift; + if ($s->{'num_assess'} < 1) { + return 0; + } else { + return 1; + } + }; + $Str .= &Apache::lonstatistics::MapSelect('Maps','multiple,all',5, + $only_seq_with_assessments); + $Str .= ''.&field_selection_input(); + $Str .= '
'."\n"; + $Str .= ''; + $Str .= ' 'x5; + $Str .= 'Plot '.&plot_dropdown().(' 'x10); + $Str .= ''; + $Str .= ' 'x5; + $Str .= ''; + $Str .= ' 'x5; + $Str .= ''; + $Str .= ' 'x5; + return $Str; +} - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_WRCREAT(),0640)) { - $r->print('Unable to tie database.4'); - return ('ERROR', undef); +############################################### +############################################### + +=pod + +=item &BuildProblemStatisticsPage() + +Main interface to problem statistics. + +=cut + +############################################### +############################################### +sub BuildProblemStatisticsPage { + my ($r,$c)=@_; + # + my %Saveable_Parameters = ('Status' => 'scalar', + 'statsoutputmode' => 'scalar', + 'Section' => '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(); + $r->print($interface); + $r->print(''); + # + if (! exists($ENV{'form.statsfirstcall'})) { + $r->print(''); + $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.'). + '

'); + return; + } elsif ($ENV{'form.statsfirstcall'} eq 'yes' || + exists($ENV{'form.UpdateCache'}) || + exists($ENV{'form.ClearCache'}) ) { + $r->print(''); + &Apache::lonstatistics::Gather_Student_Data($r); + } else { + $r->print(''); } - if($isNotCached) { - foreach(keys(%$problemData)) { - $cache{$_} = $problemData->{$_}; + $r->rflush(); + # + # This probably does not need to be done each time we are called, but + # it does not slow things down noticably. + &Apache::loncoursedata::populate_weight_table(); + # + if (exists($ENV{'form.Excel'})) { + &Excel_output($r); + } else { + my $count = 0; + foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) { + $count += $seq->{'num_assess_parts'}; + } + if ($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); } - $cache{'StatisticsKeys'} = join(':::', keys(%$problemData)); - $cache{'StatisticsCached'} = 'true'; - $cache{'StatisticsLastStatus'} = $cache{'Status'}; - $cache{'StatisticsWhichStudents'} = $whichStudents; } - untie(%cache); + return; +} - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.5'); - return ('ERROR', undef); +sub output_sequence_statistics { + my ($r) = @_; + my $c=$r->connection(); + $r->print('

'.&mt('Sequence Statistics').'

'); + $r->print('
'."\n". + ''."\n". + ''); + $r->print(&sequence_html_header()); + foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) { + last if ($c->aborted); + next if ($seq->{'num_assess'} < 1); + &compute_sequence_statistics($seq); + $r->print(&sequence_html_output($seq)); } + $r->print('
'); + $r->print('
'); + $r->rflush(); + return; +} + - my $orderedProblems = &SortProblems(\%cache, - $cache{'ProblemStatisticsSort'}, - $cache{'SortProblems'}, - $cache{'ProblemStatisticsAscend'}); - untie(%cache); +########################################################## +########################################################## +## +## HTML output routines +## +########################################################## +########################################################## +sub output_html_by_sequence { + my ($r) = @_; + my $c = $r->connection(); + $r->print(&html_preamble()); + # + foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) { + last if ($c->aborted); + next if ($seq->{'num_assess'} < 1); + $r->print("

".$seq->{'title'}."

". + '
'."\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; +} - return ('OK', $orderedProblems); +sub output_html_stats { + my ($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"); + } + $r->print("
\n
\n"); + return; } -sub BuildProblemStatisticsPage { - my ($cacheDB, $students, $courseID, $c, $r)=@_; +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; +} - my @Header = ("Homework Sets Order","#Stdnts","Tries","Mod", - "Mean","#YES","#yes","%Wrng","DoDiff", - "S.D.","Skew.","D.F.1st","D.F.2nd"); - my $color=&setbgcolor(0); - my %cache; - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.6'); - return; +############################################### +############################################### +## +## Misc HTML output routines +## +############################################### +############################################### +sub statistics_html_table_data { + my ($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'})) { + $row .= sprintf($field->{'format'},$data->{$field->{'name'}}); + } else { + $row .= $data->{$field->{'name'}}; + } + if (exists($field->{'special'}) && $field->{'special'} eq 'link') { + $row.= ''; + } + $row .= ''; } - my $Ptr = ''; - $Ptr .= ''; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= ''."\n"; - $Ptr .= &ProblemStatisticsButtons($cache{'DisplayFormat'}, - $cache{'DisplayLegend'}, - $cache{'SortProblems'}); - $Ptr .= '
Select Map'; - $Ptr .= &Apache::lonhtmlcommon::MapOptions(\%cache, 'ProblemStatistics', - 'Statistics'); - $Ptr .= '
Sorting Type:'."\n"; - $Ptr .= &Apache::lonhtmlcommon::AscendOrderOptions( - $cache{'ProblemStatisticsAscend'}, - 'ProblemStatistics', - 'Statistics'); - $Ptr .= '
Select Sections'; - $Ptr .= ''."\n"; - my @sections = split(':',$cache{'sectionList'}); - my @sectionsSelected = split(':',$cache{'sectionsSelected'}); - $Ptr .= &Apache::lonhtmlcommon::MultipleSectionSelect(\@sections, - \@sectionsSelected, - 'Statistics'); - $Ptr .= '
'; - if($cache{'DisplayLegend'} eq 'Show Legend') { - $Ptr .= &ProblemStatisticsLegend(); + return $row; +} + +sub statistics_table_header { + my ($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 .= ''; } - $r->print($Ptr); - $r->rflush(); - untie(%cache); + return $header_row; +} - my ($result, $orderedProblems) = - &InitializeProblemStatistics($cacheDB, $students, $courseID, $c, $r); - if($result ne 'OK') { - return; +sub sequence_html_header { + my $Str .= ''; + foreach my $field (@SeqFields) { +# next if ($field->{'selected'} ne 'yes'); + $Str .= '{'title'}.''; } + $Str .= ''; + return $Str; +} - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - $r->print('Unable to tie database.6'); - return; + +sub sequence_html_output { + my ($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 .= ''; } - &BuildStatisticsTable(\%cache, $cache{'DisplayFormat'}, - $cache{'SortProblems'}, $orderedProblems, - \@Header, $r, $color); - untie(%cache); + $row .= ''."\n"; + return $row; +} +#################################################### +#################################################### +## +## Plotting Routines +## +#################################################### +#################################################### +sub make_plot { + my ($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,$plot); + } return; } -sub BuildGraphicChart { - my ($graph,$cacheDB,$courseDescription,$students,$courseID,$r,$c)=@_; - my %cache; - my $max = 0; - - my ($result, undef) = - &InitializeProblemStatistics($cacheDB, $students, $courseID, $c, $r); - if($result ne 'OK') { +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}; + } + } + 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; +} - unless(tie(%cache,'GDBM_File',$cacheDB,&GDBM_READER(),0640)) { - return 'Unable to tie database.7'; +sub degrees_plot { + my ($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; + } } - - my @problems = split(':::', $cache{'problemList'}); - my @values = (); - foreach (@problems) { - my $data = 0; - if($graph eq 'DoDiffGraph') { - $data = sprintf("%.2f", $cache{$_.':degreeOfDifficulty'}), + if ($ymax > 0) { + if (abs($ymax) < 0.05) { + $ymax = 0; } else { - $data = sprintf("%.1f", $cache{$_.':percentWrong'}), + $ymax = 1; } - if($max < $data) { - $max = $data; + } + # + 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); } - push(@values, $data); } - untie(%cache); - - my $sendValues = join(',', @values); - my $sendCount = scalar(@values); + # + 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; +} - my $title = ''; - if($graph eq 'DoDiffGraph') { - $title = 'Degree-of-Difficulty'; +sub tries_data_plot { + my ($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 { - $title = 'Wrong-Percentage'; + if ($xmax % 5 != 0) { + $xmax = 5 * (int($xmax/5)+1); + } } - my @GData = ($courseDescription, 'Problems', $title, $max, $sendCount, - $sendValues); - - $r->print(''."\n"); - $r->print(''); - $r->print('
'."\n"); - + $ymax = int($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; } -#---- Problem Statistics Web Page --------------------------------------- - -sub CreateProblemStatisticsTableHeading { - my ($headings,$r)=@_; - - my $Str=''; - $Str .= ''."\n"; - $Str .= 'P#'."\n"; - foreach(@$headings) { - $Str .= ''; - $Str .= ''.$_.' '."\n"; +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,$displayFormat,$sortProblems,$orderedProblems,$headings, - $r,$color)=@_; - - my $count = 1; - my $currentSequence = -1; - foreach(@$orderedProblems) { - my ($sequence,$problem,$part)=split(':', $_); - if($cache->{'StatisticsMaps'} ne 'All Maps' && - $cache->{'StatisticsMaps'} ne $cache->{$sequence.':title'}) { - next; +############################################### +############################################### +## +## 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()); + ## + ## Create the excel workbook + my $filename = '/prtspool/'. + $ENV{'user.name'}.'_'.$ENV{'user.domain'}.'_'. + time.'_'.rand(1000000000).'.xls'; + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + # + # Create sheet + my $excel_workbook = Spreadsheet::WriteExcel->new('/home/httpd'.$filename); + # + # Check for errors + if (! defined($excel_workbook)) { + $r->log_error("Error creating excel spreadsheet $filename: $!"); + $r->print(&mt("Problems creating new Excel file. ". + "This error has been logged. ". + "Please alert your LON-CAPA administrator.")); + return 0; + } + # + # The excel spreadsheet stores temporary data in files, then put them + # together. If needed we should be able to disable this (memory only). + # The temporary directory must be specified before calling 'addworksheet'. + # File::Temp is used to determine the temporary directory. + $excel_workbook->set_tempdir($Apache::lonnet::tmpdir); + # + # 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)); + # + my $format = &Apache::loncommon::define_excel_formats($excel_workbook); + ## + ## 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::lonstathelpers::sections_description + (@Apache::lonstatistics::SelectedSections), + $format->{'h3'}); + $cols_output += scalar(@Apache::lonstatistics::SelectedSections); + # + # 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 $seq (&Apache::lonstatistics::Sequences_with_Assess()) { + next if ($seq->{'num_assess'} < 1); + 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'}},$fieldformat); } - - if($currentSequence == -1 || - ($sortProblems eq 'Sort Within Sequence' && - $currentSequence != $sequence)) { - if($displayFormat ne 'Display CSV Format') { - if($currentSequence ne -1) { - $r->print(''); - $r->print('
'); - } - if($sortProblems eq 'Sort Within Sequence') { - $r->print(''.$cache->{$sequence.':title'}.''); - } - $r->print('
'."\n"); - $r->print(''."\n"); - $r->print(&CreateProblemStatisticsTableHeading($headings, $r)); - } else { - if($sortProblems eq 'Sort Within Sequence') { - $r->print('"'.$cache->{$sequence.':title'}.'"'); - } - $r->print('
'); + $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'}}; } - $currentSequence = $sequence; + $excel_sheet->write($rows_output,$cols_output++, + $data->{$field->{'name'}},$fieldformat); } - - my $ref = ''.$cache->{$problem.':title'}.''; - my $title = $cache->{$problem.':title'}; - if($part != 0) { - $title .= ' Part '.$part; - } - my $source = $cache->{$problem.':source'}; - my $tableData = join('&', $ref, $title, $source, - $cache->{$_.':studentCount'}, - $cache->{$_.':totalTries'}, - $cache->{$_.':maxTries'}, - $cache->{$_.':mean'}, - $cache->{$_.':correct'}, - $cache->{$_.':correctByOverride'}, - $cache->{$_.':percentWrong'}, - $cache->{$_.':degreeOfDifficulty'}, - $cache->{$_.':standardDeviation'}, - $cache->{$_.':skewness'}, - $cache->{$_.':discriminationFactor1'}, - $cache->{$_.':discriminationFactor2'}); - - &TableRow($displayFormat,$tableData,$count,$r,$color); - - $count++; - } - if($displayFormat ne 'Display CSV Format') { - $r->print('
'."\n"); - $r->print('
'); - } else { - $r->print('
'); + $rows_output++; + $cols_output=0; } - + # + $excel_workbook->close(); + # + # Tell the user where to get their excel file + $r->print('
'. + ''. + &mt('Your Excel Spreadsheet').''."\n"); + $r->rflush(); return; } -sub TableRow { - my ($displayFormat,$Str,$RealIdx,$r,$color)=@_; - my($ref,$title,$source,$StdNo,$TotalTries,$MxTries,$Avg,$YES,$Override, - $Wrng,$DoD,$SD,$Sk,$_D1,$_D2)=split(/\&/,$Str); - my $Ptr; - if($displayFormat eq 'Display CSV Format') { - $Ptr='"'.$RealIdx.'",'."\n". - '"'.$title.'",'."\n". - '"'.$source.'",'."\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". - "
\n"; - - $r->print("\n".$Ptr); - } else { - $Ptr=''."\n". - ''.$RealIdx.''."\n". - ''.$ref.''."\n". - ' '.$StdNo.''."\n". - ''.$TotalTries.''."\n". - ''.$MxTries.''."\n". - ''.$Avg.''."\n". - ' '.$YES.''."\n". - ' '.$Override.''."\n". - ' '.$Wrng.''."\n". - ' '.$DoD.''."\n". - ' '.$SD.''."\n". - ' '.$Sk.''."\n". - ' '.$_D1.''."\n". - ' '.$_D2.''."\n"; - $r->print($Ptr.''."\n"); +## +## &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; } -# 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"; - $color{"purple"}="#FFDDFF"; - } - - return \%color; -} - -sub ProblemStatisticsButtons { - my ($displayFormat, $displayLegend, $sortProblems)=@_; - - my $Ptr = ''; - $Ptr .= '{'contents'}}) { + next if ($res->{'type'} ne 'assessment'); + foreach my $part (@{$res->{'parts'}}) { + # + # This is where all the work happens + my $data = &get_statistics($seq,$res,$part,scalar(@StatsArray)+1); + push (@Data,$data); + push (@StatsArray,$data); + } } - $Ptr .= ''; - $Ptr .= ' 0) { + # Assume we have already computed the statistics + return; } - $Ptr .= ''; - $Ptr .= 'connection; + foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) { + last if ($c->aborted); + next if ($seq->{'num_assess'} < 1); + &compute_sequence_statistics($seq); + &compute_statistics_on_sequence($seq); } - $Ptr .= ''; - - return $Ptr; } -sub ProblemStatisticsLegend { - my $Ptr = ''; - $Ptr = ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= ''; - $Ptr .= '
'; - $Ptr .= '#StdntsTotal number of students attempted the problem.'; - $Ptr .= '
'; - $Ptr .= 'TriesTotal number of tries for solving the problem.'; - $Ptr .= '
'; - $Ptr .= 'ModLargest number of tries for solving the problem by a student.'; - $Ptr .= '
'; - $Ptr .= 'MeanAverage number of tries. [ Tries / #Stdnts ]'; - $Ptr .= '
'; - $Ptr .= '#YESNumber of students solved the problem correctly.'; - $Ptr .= '
'; - $Ptr .= '#yesNumber of students solved the problem by override.'; - $Ptr .= '
'; - $Ptr .= '%WrongPercentage of students who tried to solve the problem '; - $Ptr .= 'but is 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 $Ptr; -} - -sub ExtractStudentData { - my ($cache, $students)=@_; - - my @problemList=(); - my %problemData; - foreach my $sequence (split(':', $cache->{'orderedSequences'})) { - foreach my $problemID (split(':', $cache->{$sequence.':problems'})) { - foreach my $part (split(/\:/,$cache->{$sequence.':'. - $problemID. - ':parts'})) { - my $id = $sequence.':'.$problemID.':'.$part; - push(@problemList, $id); - my $totalTries = 0; - my $totalAwarded = 0; - my $correct = 0; - my $correctByOverride = 0; - my $studentCount = 0; - my $maxTries = 0; - my $totalFirst = 0; - my @studentTries=(); - foreach(@$students) { - my $code = $cache->{"$_:$problemID:$part:code"}; - - if(defined($cache->{$_.':error'}) || $code eq ' ' || - $cache->{"$_:$problemID:NoVersion"} eq 'true') { - next; - } - - $studentCount++; - my $tries = $cache->{"$_:$problemID:$part:tries"}; - if($maxTries < $tries) { - $maxTries = $tries; +sub sort_data { + my ($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; } - $totalTries += $tries; - push(@studentTries, $tries); - - my $awarded = $cache->{"$_:$problemID:$part:awarded"}; - $totalAwarded += $awarded; - - if($code eq '*') { - $correct++; - if($tries == 1) { - $totalFirst++; - } - } elsif($code eq '+') { - $correctByOverride++; + } + if ($a->{$sortby} eq 'nan') { + if ($b->{$sortby} ne 'nan') { + $retvalue = 1; } } - - my $studentTriesJoined = join(':::', @studentTries); - $problemData{$id.':sequenceTitle'} = - $cache->{$sequence.':title'}; - $problemData{$id.':studentCount'} = $studentCount; - $problemData{$id.':totalTries'} = $totalTries; - $problemData{$id.':studentTries'} = $studentTriesJoined; - $problemData{$id.':totalAwarded'} = $totalAwarded; - $problemData{$id.':correct'} = $correct; - $problemData{$id.':correctByOverride'} = $correctByOverride; - $problemData{$id.':wrong'} = $studentCount - - ($correct + $correctByOverride); - $problemData{$id.':maxTries'} = $maxTries; - $problemData{$id.':totalFirst'} = $totalFirst; - } + if ($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; +} - 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); - - $problemData{'problemList'} = join(':::', @problemList); - - return \%problemData; -} - -sub SortDivideByTries { - my ($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,$sortProblems,$ascend)=@_; - - my @problems = split(':::', $problemData->{'problemList'}); - if($sortBy eq "Homework Sets Order") { - return \@problems; - } - - my $data; - - if ($sortBy eq "#Stdnts") { $data = ':studentCount'; } - elsif($sortBy eq "Tries") { $data = ':totalTries'; } - elsif($sortBy eq "Mod") { $data = ':maxTries'; } - elsif($sortBy eq "Mean") { $data = ':mean'; } - elsif($sortBy eq "#YES") { $data = ':correct'; } - elsif($sortBy eq "#yes") { $data = ':correctByOverride'; } - elsif($sortBy eq "%Wrng") { $data = ':percentWrong'; } - elsif($sortBy eq "DoDiff") { $data = ':degreeOfDifficulty'; } - elsif($sortBy eq "S.D.") { $data = ':standardDeviation'; } - elsif($sortBy eq "Skew.") { $data = ':skewness'; } - elsif($sortBy eq "D.F.1st") { $data = ':discriminationFactor1'; } - elsif($sortBy eq "D.F.2nd") { $data = ':discriminationFactor2'; } - else { return \@problems; } - - my %temp; - my @sequenceList=(); - foreach(@problems) { - my ($sequence) = split(':', $_); - - my @array=(); - my $tempArray; - if(defined($temp{$sequence})) { - $tempArray = $temp{$sequence}; - } else { - push(@sequenceList, $sequence); - $tempArray = \@array; - $temp{$sequence} = $tempArray; - } - - push(@$tempArray, $_); - } - - my @orderedProblems; - if($sortProblems eq "Sort Within Sequence") { - foreach(keys(%temp)) { - my $tempArray = $temp{$_}; - my @tempOrder = - sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} } - @$tempArray; - $temp{$_} = \@tempOrder; - } - foreach(@sequenceList) { - my $tempArray = $temp{$_}; - @orderedProblems = (@orderedProblems, @$tempArray); - } +######################################################## +######################################################## + +=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 + +Inputs: $sequence, $resource, $part, $problem_num + +Returns: Hash reference with statistics data from +loncoursedata::get_problem_statistics. + +=cut + +######################################################## +######################################################## +sub get_statistics { + my ($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::SelectedSections, + $Apache::lonstatistics::enrollment_status, + $symb,$part,$courseid,$starttime,$endtime); + $data->{'symb'} = $symb; + $data->{'part'} = $part; + $data->{'problem_num'} = $problem_num; + $data->{'container'} = $sequence->{'title'}; + $data->{'title'} = $resource->{'title'}; + $data->{'title.link'} = $resource->{'src'}.'?symb='. + &Apache::lonnet::escape($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::SelectedSections; + 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) = $urlres=~/^(\w+)\/(\w+)/; + &Apache::lonnet::put('nohist_resevaldata',\%storestats,$dom,$user); + } + # + # 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); + return $data; +} + +############################################### +############################################### + +=pod + +=item &compute_discrimination_factor() + +Inputs: $Resource, $Sequence + +Returns: integer between -1 and 1 + +=cut + +############################################### +############################################### +sub compute_discrimination_factor { + my ($resource,$part,$sequence) = @_; + my @Resources; + foreach my $res (@{$sequence->{'contents'}}) { + next if ($res->{'symb'} eq $resource->{'symb'}); + push (@Resources,$res->{'symb'}); + } + # + # rank + my ($starttime,$endtime) = &Apache::lonstathelpers::get_time_limits(); + my $ranking = + &Apache::loncoursedata::rank_students_by_scores_on_resources + (\@Resources, + \@Apache::lonstatistics::SelectedSections, + $Apache::lonstatistics::enrollment_status,undef, + $starttime,$endtime); + # + # 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}[($num_students-$number_to_grab)..($num_students-1)]; + my ($bottom_sum,$bottom_max) = + &Apache::loncoursedata::get_sum_of_scores($resource,$part,\@BottomSet, + undef,$starttime,$endtime); + my ($top_sum,$top_max) = + &Apache::loncoursedata::get_sum_of_scores($resource,$part,\@TopSet, + undef,$starttime,$endtime); + my $deg_of_disc; + if ($top_max == 0 || $bottom_max==0) { + $deg_of_disc = 'nan'; } else { - @orderedProblems = - sort { $problemData->{$a.$data} <=> $problemData->{$b.$data} } - @problems; + $deg_of_disc = ($top_sum/$top_max) - ($bottom_sum/$bottom_max); } + #&Apache::lonnet::logthis(' '.$top_sum.'/'.$top_max. + # ' - '.$bottom_sum.'/'.$bottom_max); + return $deg_of_disc; +} - if($ascend eq 'Descending') { - @orderedProblems = reverse(@orderedProblems); +############################################### +############################################### +## +## Compute KR-21 +## +## To compute KR-21, you need the following information: +## +## K=the number of items in your test +## M=the mean score on the test +## s=the standard deviation of the scores on your test +## +## then: +## +## KR-21 rk= [K/(K-1)] * [1- (M*(K-M))/(K*s^2))] +## +############################################### +############################################### +sub compute_sequence_statistics { + my ($seq) = @_; + my $symb = $seq->{'symb'}; + my @Resources; + foreach my $res (@{$seq->{'contents'}}) { + next if ($res->{'type'} ne 'assessment'); + push (@Resources,$res->{'symb'}); + } + 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::SelectedSections, + $Apache::lonstatistics::enrollment_status, + \@Resources,$starttime,$endtime,undef); + $SeqStat{$symb}->{'title'} = $seq->{'title'}; + $SeqStat{$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::SelectedSections, + $Apache::lonstatistics::enrollment_status, + \@Resources,$starttime,$endtime,undef); + my $K = $seq->{'num_assess_parts'}; + my $kr_21; + if ($K > 1 && $cSTD > 0) { + $kr_21 = ($K/($K-1)) * (1 - $cMean*($K-$cMean)/($K*$cSTD**2)); + } else { + $kr_21 = 'nan'; } - - return \@orderedProblems; + $SeqStat{$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'}=$kr_21; + return; } -sub CalculateStatistics { - my ($data, $cache, $courseID)=@_; - my @problems = split(':::', $data->{'problemList'}); - foreach(@problems) { - # Mean - my $mean = ($data->{$_.':studentCount'}) ? - ($data->{$_.':totalTries'} / $data->{$_.':studentCount'}) : 0; - $data->{$_.':mean'} = sprintf("%.2f", $mean); - # %Wrong - my $pw = ($data->{$_.':studentCount'}) ? - (($data->{$_.':wrong'} / $data->{$_.':studentCount'}) * 100.0) : - 100.0; - $data->{$_.':percentWrong'} = sprintf("%.1f", $pw); +=pod - # Degree of Difficulty - my $dod = ($data->{$_.':totalTries'}) ? - (1 - (($data->{$_.':correct'} + $data->{$_.':correctByOverride'}) / - $data->{$_.':totalTries'})) : 0; +=item ProblemStatisticsLegend - $data->{$_.':degreeOfDifficulty'} = sprintf("%.2f", $dod); +=over 4 - # Factor in mean - my @studentTries = split(':::', $data->{$_.':studentTries'}); - foreach(my $index=0; $index < scalar(@studentTries); $index++) { - $studentTries[$index] -= $mean; - } - my $sumSquared = 0; - my $sumCubed = 0; - foreach(@studentTries) { - my $squared = ($_ * $_); - my $cubed = ($squared * $_); - $sumSquared += $squared; - $sumCubed += $cubed; - } +=item #Stdnts +Total number of students attempted the problem. - # Standard deviation - my $standardDeviation; - if($data->{$_.':studentCount'} - 1 > 0) { - $standardDeviation = (sqrt($sumSquared)) / - ($data->{$_.':studentCount'} - 1); - } else { - $standardDeviation = 0.0; - } - $data->{$_.':standardDeviation'} = sprintf("%.1f", $standardDeviation); +=item Tries +Total number of tries for solving the problem. - # Skewness - my $skew; - if($standardDeviation > 0.0999 && $data->{$_.':studentCount'} > 0) { - $skew = (((sqrt($sumSquared)) / $data->{$_.':studentCount'}) / - ($standardDeviation * - $standardDeviation * - $standardDeviation)); - } else { - $skew = 0.0; - } +=item Max Tries +Largest number of tries for solving the problem by a student. - $data->{$_.':skewness'} = sprintf("%.1f", $skew); +=item Mean +Average number of tries. [ Tries / #Stdnts ] - # Discrimination Factor 1 - my ($sequence, $problem, $part) = split(':', $_); +=item #YES +Number of students solved the problem correctly. - my @upper1 = split(':::', $data->{'studentsUpperListCriterion1'}); - my @lower1 = split(':::', $data->{'studentsLowerListCriterion1'}); +=item #yes +Number of students solved the problem by override. - my $upper1Sum=0; - foreach my $name (@upper1) { - $upper1Sum += $cache->{"$name:$problem:$part:awarded"}; - } - $upper1Sum = (scalar(@upper1)) ? ($upper1Sum/(scalar(@upper1))) : 0; +=item %Wrong +Percentage of students who tried to solve the problem +but is still incorrect. [ 100*((#Stdnts-(#YES+#yes))/#Stdnts) ] - my $lower1Sum=0; - foreach my $name (@lower1) { - $lower1Sum += $cache->{"$name:$problem:$part:awarded"}; - } - $lower1Sum = (scalar(@lower1)) ? ($lower1Sum/(scalar(@lower1))) : 0; +=item DoDiff +Degree of Difficulty of the problem. +[ 1 - ((#YES+#yes) / Tries) ] - my $df1 = $upper1Sum - $lower1Sum; - $data->{$_.':discriminationFactor1'} = sprintf("%.2f", $df1); +=item S.D. +Standard Deviation of the tries. +[ sqrt(sum((Xi - Mean)^2)) / (#Stdnts-1) +where Xi denotes every student\'s tries ] - # Discrimination Factor 2 - my @upper2 = split(':::', $data->{'studentsUpperListCriterion2'}); - my @lower2 = split(':::', $data->{'studentsLowerListCriterion2'}); +=item Skew. +Skewness of the students tries. +[(sqrt( sum((Xi - Mean)^3) / #Stdnts)) / (S.D.^3)] - my $upper2Sum=0; - foreach my $name (@upper2) { - $upper2Sum += $cache->{"$name:$problem:$part:awarded"}; - } - $upper2Sum = (scalar(@upper2)) ? ($upper2Sum/(scalar(@upper2))) : 0; +=item Dis.F. +Discrimination Factor: A Standard for evaluating the +problem according to a Criterion
- my $lower2Sum=0; - foreach my $name (@lower2) { - $lower2Sum += $cache->{"$name:$problem:$part:awarded"}; - } - $lower2Sum = (scalar(@lower2)) ? ($lower2Sum/(scalar(@lower2))) : 0; +=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 - my $df2 = $upper2Sum - $lower2Sum; - $data->{$_.':discriminationFactor2'} = sprintf("%.2f", $df2); +=item Disc. +Number of Students had at least one discussion. - my %storestats; - my $Average = ($data->{$_.':studentCount'}) ? - $data->{$_.':totalTries'}/$data->{$_.':studentCount'} : 0; - $storestats{$courseID.'___'.$cache->{$sequence.':source'}. - '___timestamp'}=time; - $storestats{$courseID.'___'.$cache->{$sequence.':source'}. - '___stdno'}=$data->{$_.':studentCount'}; - $storestats{$courseID.'___'.$cache->{$sequence.':source'}. - '___avetries'}=$Average; - $storestats{$courseID.'___'.$cache->{$sequence.':source'}. - '___difficulty'}=$data->{$_.':degreeOfDifficulty'}; - $cache->{$sequence.':source'} =~ /^(\w+)\/(\w+)/; - if($data->{$_.':studentCount'}) { - &Apache::lonnet::put('resevaldata',\%storestats,$1,$2); - } - } +=back - return; -} +=cut -#---- END Problem Statistics Web Page ---------------------------------------- +############################################################ +############################################################ 1; __END__