# The LearningOnline Network with CAPA
#
# $Id: lonproblemanalysis.pm,v 1.122 2005/11/07 22:09:00 albertel Exp $
#
# Copyright Michigan State University Board of Trustees
#
# This file is part of the LearningOnline Network with CAPA (LON-CAPA).
#
# LON-CAPA is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# LON-CAPA is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with LON-CAPA; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
# /home/httpd/html/adm/gpl.txt
#
# http://www.lon-capa.org/
#
package Apache::lonproblemanalysis;
use strict;
use Apache::lonnet;
use Apache::loncommon();
use Apache::lonhtmlcommon();
use Apache::loncoursedata();
use Apache::lonstatistics;
use Apache::lonlocal;
use Apache::lonstathelpers();
use Apache::lonstudentsubmissions();
use HTML::Entities();
use Time::Local();
use capa;
my $plotcolors = ['#33ff00',
'#0033cc', '#990000', '#aaaa66', '#663399', '#ff9933',
'#66ccff', '#ff9999', '#cccc33', '#660000', '#33cc66',
];
my @SubmitButtons = ({ name => 'PrevProblemAnalysis',
text => 'Previous Problem' },
{ name => 'ProblemAnalysis',
text => 'Analyze Problem Again' },
{ name => 'NextProblemAnalysis',
text => 'Next Problem' },
{ name => 'break'},
{ name => 'SelectAnother',
text => 'Choose a different Problem' });
sub BuildProblemAnalysisPage {
my ($r,$c)=@_;
#
my %Saveable_Parameters = ('Status' => 'scalar',
'Section' => 'array',
'NumPlots' => 'scalar',
'AnalyzeOver' => 'scalar',
);
&Apache::loncommon::store_course_settings('problem_analysis',
\%Saveable_Parameters);
&Apache::loncommon::restore_course_settings('problem_analysis',
\%Saveable_Parameters);
#
&Apache::lonstatistics::PrepareClasslist();
#
$r->print(&CreateInterface());
#
my @Students = @Apache::lonstatistics::Students;
#
if (@Students < 1 && exists($env{'form.firstrun'})) {
$r->print('
There are no students in the sections selected
');
}
#
my @CacheButtonHTML =
&Apache::lonstathelpers::manage_caches($r,'Statistics','stats_status');
$r->rflush();
#
my $problem_types = '(option|radiobutton|numerical)';
if (exists($env{'form.problemchoice'}) &&
! exists($env{'form.SelectAnother'})) {
foreach my $button (@SubmitButtons) {
if ($button->{'name'} eq 'break') {
$r->print(" \n");
} else {
$r->print('{'text'}).'" />');
$r->print(' 'x5);
}
}
foreach my $html (@CacheButtonHTML) {
$r->print($html.(' 'x5));
}
#
$r->print(&Apache::lonstathelpers::submission_report_form
('problem_analysis'));
#
$r->print('');
$r->rflush();
#
# Determine which problem we are to analyze
my $current_problem = &Apache::lonstathelpers::get_target_from_id
($env{'form.problemchoice'});
#
my ($navmap,$prev,$curr,$next) =
&Apache::lonstathelpers::get_prev_curr_next($current_problem,
$problem_types,
'response',
);
if (exists($env{'form.PrevProblemAnalysis'}) && defined($prev)) {
$current_problem = $prev;
} elsif (exists($env{'form.NextProblemAnalysis'}) && defined($next)) {
$current_problem = $next;
} else {
$current_problem = $curr;
}
#
# Store the current problem choice and send it out in the form
$env{'form.problemchoice'} =
&Apache::lonstathelpers::make_target_id($current_problem);
$r->print('');
#
if (! defined($current_problem->{'resource'})) {
$r->print('resource is undefined');
} else {
my $resource = $current_problem->{'resource'};
$r->print('
';
}
if ($post_message ne '') {
$analysis_html .=
'
'.$post_message.'
';
}
}
$analysis_html.='
';
$r->print($analysis_html);
#
return;
}
sub numerical_plot_percent {
my ($r,$responses,$stats) = @_;
#
my $total = $stats->{'submission_count'};
return '' if ($total == 0);
my $max_bins = 50;
my $lowest_percent = $stats->{'min_percent'};
my $highest_percent = $stats->{'max_percent'};
my $percent_spread = $highest_percent - $lowest_percent;
foreach (qw/20 30 40 50 100 200/) {
if ($percent_spread < $_) {
$highest_percent =$_/2;
last;
}
}
my $bin_size = 1;
foreach (qw/0.01 0.05 0.1 0.5 1 2 5 10 20 25 50 100/) {
if ($lowest_percent/2 < $_){
$bin_size = $_;
last;
}
}
my @bins;
for (my $bin = -$highest_percent;$bin<0;$bin+=$bin_size) {
push (@bins,$bin);
}
for (my $bin = 0; $bin<$highest_percent;$bin+=$bin_size) {
push (@bins,$bin);
}
push(@bins,$highest_percent);
#
my @correct;
my @incorrect;
my @count;
while (my ($ans,$submissions) = each(%$responses)) {
while (my ($submission,$counts) = each(%$submissions)) {
my ($correct_count,$incorrect_count) = @$counts;
my $scaled_value =
($ans) ? 100*($submission-$ans)/abs($ans)
: 0;
if ($scaled_value < $bins[0]) {
$bins[0]=$scaled_value -1;
}
my $bin;
for ($bin=0;$bin<$#bins;$bin++) {
last if ($bins[$bin]>$scaled_value);
}
$correct[$bin-1]+=$correct_count;
$incorrect[$bin-1]+=$incorrect_count;
$count[$bin-1]+=$correct_count+$incorrect_count;
}
}
#
my @plot_correct = @correct;
my @plot_incorrect = @incorrect;
my $max;
for (my $i=0;$i<$#bins;$i++) {
$plot_correct[$i] *= 100/$total;
$plot_incorrect[$i] *= 100/$total;
if (! defined($max) ||
$max < $plot_correct[$i]+$plot_incorrect[$i] ) {
$max = $plot_correct[$i]+$plot_incorrect[$i];
}
}
foreach (qw/1 5 10 15 20 25 30 40 50 75 100/) {
if ($max <$_) { $max = $_; last; }
}
#
my $title = &mt('Percent Difference');
my @labels = (1..scalar(@bins)-1);
my $graph = &Apache::loncommon::DrawBarGraph
($title,'Percent Difference from Correct','Percent of Answers',
$max,['#33FF00','#FF3300'],\@labels,\@plot_correct,\@plot_incorrect,
{xskip=>1});
#
my $table = $graph.$/.
&numerical_bin_table(\@bins,\@labels,\@incorrect,\@correct,\@count).$/;
return $table;
}
sub numerical_plot_differences {
my ($r,$responses,$stats) = @_;
#
my $total = $stats->{'submission_count'};
return '' if ($total == 0);
my $max_bins = 21;
my $min_bin_size = $stats->{'min_abs'};
my $low_bin = $stats->{'lowest_ans'}-$stats->{'max_bin_size'};
my $high_bin = $stats->{'highest_ans'}+$stats->{'max_bin_size'};
if ($high_bin > 0 && $low_bin > -$high_bin) {
$low_bin = -$high_bin;
} elsif ($low_bin < 0 && $high_bin < -$low_bin) {
$high_bin = -$low_bin;
}
if (($high_bin -$low_bin)/$min_bin_size * 2 > $max_bins) {
$min_bin_size = abs($high_bin - $low_bin) / $max_bins * 2;
}
my @bins;
for (my $num = $low_bin;$num <= $high_bin;$num+=($min_bin_size/2)) {
push(@bins,$num);
}
#
my @correct;
my @incorrect;
my @count;
while (my ($ans,$submissions) = each(%$responses)) {
while (my ($submission,$counts) = each(%$submissions)) {
my ($correct_count,$incorrect_count) = @$counts;
my $scaled_value = $submission-$ans;
if ($scaled_value < $bins[0]) {
$bins[0]=$scaled_value-1;
}
my $bin=0;
for ($bin=0;$bin<$#bins;$bin++) {
last if ($bins[$bin]>$scaled_value);
}
$correct[$bin-1]+=$correct_count;
$incorrect[$bin-1]+=$incorrect_count;
$count[$bin-1]+=$correct_count+$incorrect_count;
}
}
my @plot_correct = @correct;
my @plot_incorrect = @incorrect;
my $max;
for (my $i=0;$i<=$#bins;$i++) {
$plot_correct[$i] *= 100/$total;
$plot_incorrect[$i] *= 100/$total;
if (! defined($max) ||
$max < $plot_correct[$i]+$plot_incorrect[$i] ) {
$max = $plot_correct[$i]+$plot_incorrect[$i];
}
}
foreach (qw/1 5 10 15 20 25 30 40 50 75 100/) {
if ($max <$_) { $max = $_; last; }
}
#
my $title = &mt('Difference between submission and correct');
my @labels = (1..scalar(@bins)-1);
my $graph = &Apache::loncommon::DrawBarGraph
($title,'Difference from Correct','Percent of Answers',
$max,['#33FF00','#FF3300'],\@labels,\@plot_correct,\@plot_incorrect,
{xskip=>1});
#
my $table = $graph.$/.
&numerical_bin_table(\@bins,\@labels,\@incorrect,\@correct,\@count).$/;
return $table;
}
sub numerical_classify_responses {
my ($full_row_data,$correct,$function) = @_;
my %submission_data;
my %students;
my %stats;
my $max=0;
foreach my $row (@$full_row_data) {
my %subm = &hashify_attempt($row);
if (ref($correct) eq 'HASH') {
my $s_correct = $correct->{$subm{'student'}};
$subm{'correct'} = $s_correct->{'answer'};
foreach my $item ('unit','ans_low','ans_high') {
$subm{$item} = $s_correct->{$item};
}
} else { # This probably never happens....
$subm{'correct'} = $correct->{'answer'};
$subm{'unit'} = $correct->{'unit'};
}
#
my $abs_low =abs($subm{'correct'}-$subm{'ans_low'});
my $abs_high=abs($subm{'correct'}-$subm{'ans_high'});
if (! defined($stats{'min_abs'}) ||
$stats{'min_abs'} > $abs_low) {
$stats{'min_abs'} = $abs_low;
}
if ($stats{'min_abs'} > $abs_high) {
$stats{'min_abs'} = $abs_high;
}
if (! defined($stats{'max_abs'}) ||
$stats{'max_abs'} < $abs_low) {
$stats{'max_abs'} = $abs_low;
}
if ($stats{'max_abs'} < $abs_high) {
$stats{'max_abs'} = $abs_high;
}
my $low_percent;
my $high_percent;
if (defined($subm{'correct'}) && $subm{'correct'} != 0) {
$low_percent = 100 * abs($abs_low / $subm{'correct'});
$high_percent = 100 * abs($abs_high / $subm{'correct'});
}
if (! defined($stats{'min_percent'}) ||
$stats{'min_percent'} > $low_percent) {
$stats{'min_percent'} = $low_percent;
}
if ($stats{'min_percent'} > $high_percent) {
$stats{'min_percent'} = $high_percent;
}
if (! defined($stats{'max_percent'}) ||
$stats{'max_percent'} < $low_percent) {
$stats{'max_percent'} = $low_percent;
}
if ($stats{'max_percent'} < $high_percent) {
$stats{'max_percent'} = $high_percent;
}
if (! defined($stats{'lowest_ans'}) ||
$stats{'lowest_ans'} > $subm{'correct'}) {
$stats{'lowest_ans'} = $subm{'correct'};
}
if (! defined($stats{'highest_ans'}) ||
$stats{'highest_ans'} < $subm{'correct'}) {
$stats{'highest_ans'} = $subm{'correct'};
}
#
$subm{'submission'} =~ s/=\d+\s*$//;
if (&$function(\%subm)) {
my $scaled = '1';
my ($sname,$sdom) = split(':',$subm{'student'});
my ($myunit,$mysub) = ($subm{'unit'},$subm{'submission'});
my $result =
&capa::caparesponse_get_real_response($myunit,
$mysub,
\$scaled);
# &Apache::lonnet::logthis('scaled = '.$scaled.' result ='.$result);
next if (! defined($scaled));
# next if ($result ne '6');
my $submission = $scaled;
$students{$subm{'student'}}++;
$stats{'submission_count'}++;
if (&numerical_submission_is_correct($subm{'award'})) {
$stats{'correct_count'}++;
$submission_data{$subm{'correct'}}->{$submission}->[0]++;
} elsif (&numerical_submission_is_incorrect($subm{'award'})) {
$stats{'incorrect_count'}++;
$submission_data{$subm{'correct'}}->{$submission}->[1]++;
}
}
}
$stats{'correct_count'} |= 0;
$stats{'incorrect_count'} |= 0;
$stats{'students'}=scalar(keys(%students));
return (\%submission_data,\%stats);
}
sub numerical_submission_is_correct {
my ($award) = @_;
if ($award =~ /^(APPROX_ANS|EXACT_ANS)$/) {
return 1;
} else {
return 0;
}
}
sub numerical_submission_is_incorrect {
my ($award) = @_;
if ($award =~ /^(INCORRECT)$/) {
return 1;
} else {
return 0;
}
}
sub numerical_bin_table {
my ($bins,$labels,$incorrect,$correct,$count)=@_;
my $table =
'
'.&mt('Bar').'
'.
'
'.&mt('Range').'
'.
'
'.&mt('Incorrect').'
'.
'
'.&mt('Correct').'
'.
'
'.&mt('Count').'
'.
'
'.$/;
for (my $i=0;$i[$i];
if ($i == 0) { $lownum = '-∞'; }
my $highnum = $bins->[$i+1];
if ($i == scalar(@{$bins})-2) { $highnum = '∞'; }
$table .=
'
'.
'
'.$labels->[$i].'
'.
'
'.$lownum.'
'.
'
-
'.
'
'.$highnum.'
'.
'
'.$incorrect->[$i].'
'.
'
'.$correct->[$i].'
'.
'
'.$count->[$i].'
'.
'
'.$/;
}
$table.= '
';
return $table;
}
sub numerical_determine_answers {
my ($r,$resource,$partid,$respid,$students)=@_;
my $c = $r->connection();
#
my %prog_state=&Apache::lonhtmlcommon::Create_PrgWin
($r,'Student Answer Compilation Status',
'Student Answer Compilation Progress', scalar(@$students),
'inline',undef,'Statistics','stats_status');
#
# Read in the cache (if it exists) before we start timing things.
&Apache::lonstathelpers::ensure_proper_cache($resource->{'symb'});
#
my $correct;
my %answers;
foreach my $student (@$students) {
last if ($c->aborted());
my $sname = $student->{'username'};
my $sdom = $student->{'domain'};
# analyze problem
my $analysis =
&Apache::lonstathelpers::analyze_problem_as_student($resource,
$sname,
$sdom);
# make the key
my $key = $partid.'.'.$respid;
foreach my $item ('answer','unit','ans_high','ans_low') {
$correct->{$sname.':'.$sdom}->{$item} =
$analysis->{$key.'.'.$item}->[0];
}
$answers{$analysis->{$key.'.answer'}->[0]}++;
&Apache::lonhtmlcommon::Increment_PrgWin($r,\%prog_state,
&mt('last student'));
}
&Apache::lonstathelpers::write_analysis_cache();
&Apache::lonhtmlcommon::Close_PrgWin($r,\%prog_state);
return ($correct,\%answers);
}
#
# Inputs: $r, $width, $height, $data
# $n = number of students
# $data = hashref of $answer => $frequency pairs
sub numerical_one_dimensional_plot {
my ($r,$width,$height,$data)=@_;
#
# Compute data -> image scaling factors
my $max_y = 0;
my $min_x = undef;
my $max_x = undef;
my $n = 0;
while (my ($answer,$count) = each(%$data)) {
$n+=$count;
$max_y = $count if ($max_y < $count);
if (! defined($min_x) || $answer < $min_x) {
$min_x = $answer;
}
if (! defined($max_x) || $answer > $max_x) {
$max_x = $answer;
}
}
#
my $min_max_difference = $max_x - $min_x;
if (! defined($min_max_difference) || $min_max_difference == 0) {
$min_max_difference = 1;
}
my $h_scale = ($width-10)/$min_max_difference;
#
my $ticscale = 5;
if ($max_y * $ticscale > $height/2) {
$ticscale = int($height/2/$max_y);
$ticscale = 1 if ($ticscale < 1);
}
#
# Create the plot
my $plot =
qq{};
while (my ($answer,$count) = each(%$data)) {
my $xloc = 5+$h_scale*($answer - $min_x);
my $top = $height/2-$count*$ticscale;
my $bottom = $height/2+$count*$ticscale;
$plot .= &line($xloc,$top,$xloc,$bottom,'888888',1);
}
#
# Put the scale on last to ensure it is on top of the data.
if ($min_x < 0 && $max_x > 0) {
my $circle_x = 5+$h_scale*abs($min_x); # '0' in data coordinates
my $r = 4;
$plot .= &line(5,$height/2,$circle_x-$r,$height/2,'000000',1);
$plot .= &circle($circle_x,$height/2,$r+1,'000000');
$plot .= &line($circle_x+$r,$height/2,$width-5,$height/2,'000000',1);
} else {
$plot .= &line(5,$height/2,$width-5,$height/2,'000000',1);
}
$plot .= '';
my $plotresult = &Apache::lonxml::xmlparse($r,'web',$plot);
my $result = '
'.
'
'.
''.&mt('Distribution of correct answers').''.
' '.&mt('[_1] students, [_2] distinct correct answers',
$n,scalar(keys(%$data))).
' '.&mt('Maximum number of coinciding values: [_1]',$max_y).
'
'.
'
'.
'
'.$min_x.'
'.
'
'.$plotresult.'
'.
'
'.$max_x.'
'.
'
'.
'
';
return $result;
}
##
## Helper subroutines for .
## These should probably go somewhere more suitable soon.
sub line {
my ($x1,$y1,$x2,$y2,$color,$thickness) = @_;
return qq{};
}
sub text {
my ($x,$y,$color,$text,$font,$direction) = @_;
if (! defined($font) || $font !~ /^(tiny|small|medium|large|giant)$/) {
$font = 'medium';
}
if (! defined($direction) || $direction ne 'vertical') {
$direction = '';
}
return qq{$text};
}
sub rectangle {
my ($x1,$y1,$x2,$y2,$color,$thickness,$filled) = @_;
return qq{};
}
sub arc {
my ($x,$y,$width,$height,$start,$end,$color,$thickness,$filled)=@_;
return qq{};
}
sub circle {
my ($x,$y,$radius,$color,$thickness,$filled)=@_;
return &arc($x,$y,$radius,$radius,0,360,$color,$thickness,$filled);
}
#########################################################
#########################################################
##
## Radio Response Routines
##
#########################################################
#########################################################
sub radio_response_analysis {
my ($r,$problem,$problem_analysis,$students) = @_;
#
if ($env{'form.AnalyzeOver'} !~ /^(tries|time)$/) {
$r->print('Bad request');
}
#
my ($resource,$partid,$respid) = ($problem->{'resource'},
$problem->{'part'},
$problem->{'respid'});
#
my $analysis_html;
my $foildata = $problem_analysis->{'_Foils'};
my ($table,$foils,$concepts) = &build_foil_index($problem_analysis);
if (! defined($concepts)) {
$concepts = [];
}
#
my %true_foils;
my $num_true = 0;
if (! $problem_analysis->{'answercomputed'}) {
foreach my $foil (@$foils) {
if ($foildata->{$foil}->{'value'} eq 'true') {
$true_foils{$foil}++;
}
}
$num_true = scalar(keys(%true_foils));
}
#
$analysis_html .= $table;
# Gather student data
my $response_data = &Apache::loncoursedata::get_response_data
([&Apache::lonstatistics::get_selected_sections()],
$Apache::lonstatistics::enrollment_status,
$resource->symb,$respid);
my $correct; # either a hash reference or a scalar
if ($problem_analysis->{'answercomputed'} || scalar(@$concepts) > 1) {
# This takes a while for large classes...
&Apache::lonstathelpers::GetStudentAnswers($r,$problem,$students,
'Statistics',
'stats_status');
foreach my $student (@$students) {
my ($idx,@remainder) = split('&',$student->{'answer'});
my ($answer) = ($remainder[$idx]=~/^(.*)=([^=]*)$/);
$correct->{$student->{'username'}.':'.$student->{'domain'}}=
&Apache::lonnet::unescape($answer);
}
} else {
foreach my $foil (keys(%$foildata)) {
if ($foildata->{$foil}->{'value'} eq 'true') {
$correct = $foildata->{$foil}->{'name'};
}
}
}
#
if (! defined($response_data) || ref($response_data) ne 'ARRAY' ) {
$analysis_html = '
'.
&mt('There is no submission data for this resource').
'
'.$/;
}
} # end of loop for plots
$analysis_html.='
';
$r->print($analysis_html);
}
sub ensure_start_end_times {
my ($start,$end,$first,$last,$plot_num) = @_;
if (! defined($start) || ! defined($end)) {
my $sec_in_day = 86400;
my ($sday,$smon,$syear) =
(localtime($last - $sec_in_day*($plot_num-1)))[3..5];
$start = &Time::Local::timelocal(0,0,0,$sday,$smon,$syear);
$end = $start + $sec_in_day;
if ($plot_num == $env{'form.NumPlots'}) {
$start = $first;
}
}
return ($start,$end);
}
sub RR_concept_plot {
my ($concepts,$foil_data,$title) = @_;
#
my %correct_by_concept;
my %incorrect_by_concept;
my %true;
foreach my $concept (@$concepts) {
foreach my $foil (@{$concept->{'foils'}}) {
next if (! exists($foil_data->{$foil}));
foreach my $choice (keys(%{$foil_data->{$foil}})) {
if ($choice eq $foil) {
$correct_by_concept{$concept->{'name'}} +=
$foil_data->{$foil}->{$choice};
} else {
$incorrect_by_concept{$concept->{'name'}} +=
$foil_data->{$foil}->{$choice};
}
}
}
}
#
# need arrays for incorrect and correct because we want to use different
# colors for them
my @correct;
#
my $total =0;
for (my $i=0;$i[$i];
$correct[$i] = $correct_by_concept{$concept->{'name'}};
$total += $correct_by_concept{$concept->{'name'}}+
$incorrect_by_concept{$concept->{'name'}};
}
if ($total == 0) { return ''; };
for (my $i=0;$i<=$#correct;$i++) {
$correct[$i] = sprintf('%0f',$correct[$i]/$total*100);
}
my $xlabel = 'concept';
my $plot= &Apache::loncommon::DrawBarGraph($title,
$xlabel,
'Percent Choosing',
100,
['#33ff00','#ff3300'],
undef,
\@correct);
return $plot;
}
sub RR_create_percent_selected_plot {
my ($concepts,$foils,$foil_data,$title) = @_;
#
if ($foil_data->{'_count'} == 0) { return ''; };
my %correct_selections;
my %incorrect_selections;
foreach my $foil (@$foils) {
# foil_data has format $foil_data->{true_foil}->{selected foil}=count
next if (! exists($foil_data->{$foil}));
while (my ($f,$count)= each(%{$foil_data->{$foil}})) {
if ($f eq $foil) {
$correct_selections{$foil} += $count;
} else {
$incorrect_selections{$f} += $count;
}
}
}
#
# need arrays for incorrect and correct because we want to use different
# colors for them
my @correct;
my @incorrect;
#
my $total = $foil_data->{'_count'};
for (my $i=0;$i[$i];
$correct[$i] = $correct_selections{$foil};
$incorrect[$i] = $incorrect_selections{$foil};
}
for (my $i=0;$i<=$#correct;$i++) {
$correct[$i] = sprintf('%2f',$correct[$i]/$total*100);
}
for (my $i=0;$i<=$#incorrect;$i++) {
$incorrect[$i] = sprintf('%2f',$incorrect[$i]/$total*100);
}
#
# Put a blank in the data sets between concepts, if there are concepts
my @labels;
if (defined($concepts) && scalar(@$concepts) > 1) {
my @new_correct;
my @new_incorrect;
my $foil_count = 0;
foreach my $concept (@$concepts) {
foreach (@{$concept->{'foils'}}) {
push(@new_correct, $correct[$foil_count]);
push(@new_incorrect,$incorrect[$foil_count]);
push(@labels,++$foil_count);
}
push(@new_correct,'');
push(@new_incorrect,'');
push(@labels,'');
}
@correct = @new_correct;
@incorrect = @new_incorrect;
} else {
@labels = (1 .. scalar(@correct));
}
#
my $xlabel = 'foil chosen';
my $plot= &Apache::loncommon::DrawBarGraph($title,
$xlabel,
'Percent Choosing',
100,
['#33ff00','#ff3300'],
\@labels,
\@correct,
\@incorrect);
return $plot;
}
sub RR_create_stacked_selection_plot {
my ($foils,$foil_data,$title,$true_foils)=@_;
#
my @dataset; # array of array refs - multicolor rows $datasets[row]->[col]
my @labels;
my $count;
my %column; # maps foil name to column in @datasets
for (my $i=0;$i[$i];
if (defined($true_foils) && scalar(keys(%$true_foils)) > 0 ) {
next if (! $true_foils->{$foil} );
push(@labels,$i+1);
} else {
next if (! exists($foil_data->{$foil}));
push(@labels,$i+1);
}
next if (! exists($foil_data->{$foils->[$i]}));
$column{$foil}= $count++;
for (my $j=0;$j{$foil}->{$foils->[$j]};
}
$dataset[$j]->[$column{$foil}]=$value;
}
}
#
return '' if (! scalar(keys(%column)));
#
my $grand_total = 0;
my %count_per_foil;
while (my ($foil,$bar) = each (%column)) {
my $bar_total = 0;
for (my $j=0;$j[$bar];
}
next if ($bar_total == 0);
for (my $j=0;$j[$bar] =
sprintf('%2f',$dataset[$j]->[$bar]/$bar_total * 100);
}
$count_per_foil{$foil}=' ( '.$bar_total.' )';
$grand_total += $bar_total;
}
if ($grand_total == 0) {
return ('',undef);
}
my @empty_row = ();
foreach (@{$dataset[0]}) {
push(@empty_row,0);
}
#
my $graph = &Apache::loncommon::DrawBarGraph
($title,'Correct Foil','foils chosen Incorrectly',
100,$plotcolors,\@labels,\@empty_row,@dataset);
return ($graph,\%count_per_foil);
}
#########################################################
#########################################################
##
## Misc routines
##
#########################################################
#########################################################
# if $correct is a hash ref, it is assumed to be indexed by student names.
# the values are assumed to be hash refs with a key of 'answer'.
sub classify_response_data {
my ($full_row_data,$correct,$function) = @_;
my %submission_data;
my %students;
my $max=0;
foreach my $row (@$full_row_data) {
my %subm = &hashify_attempt($row);
if (ref($correct) eq 'HASH') {
$subm{'correct'} = $correct->{$subm{'student'}};
} else {
$subm{'correct'} = $correct;
}
$subm{'submission'} =~ s/=\d+\s*$//;
if (&$function(\%subm)) {
$students{$subm{'student'}}++;
$submission_data{'_count'}++;
if (&submission_is_correct($subm{'award'})) {
$submission_data{'_correct'}++;
}
if($max<++$submission_data{$subm{'correct'}}->{$subm{'submission'}}) {
$max=$submission_data{$subm{'correct'}}->{$subm{'submission'}};
}
}
}
$submission_data{'_max'} = $max;
$submission_data{'_students'}=scalar(keys(%students));
return \%submission_data;
}
#########################################################
#########################################################
##
## Option Response Routines
##
#########################################################
#########################################################
sub OptionResponseAnalysis {
my ($r,$problem,$problem_data,$Students) = @_;
my ($resource,$respid) = ($problem->{'resource'},
$problem->{'respid'});
# Note: part data is not needed.
my $PerformanceData = &Apache::loncoursedata::get_response_data
([&Apache::lonstatistics::get_selected_sections()],
$Apache::lonstatistics::enrollment_status,
$resource->symb,$respid);
if (! defined($PerformanceData) ||
ref($PerformanceData) ne 'ARRAY' ) {
$r->print('
'.
&mt('There is no student data for this problem.').
'
'.
&mt('The analysis you have selected is '.
'not supported at this time').
'
');
}
}
}
#########################################################
#
# Option Response: tries Analysis
#
#########################################################
sub OR_tries_analysis {
my ($r,$PerformanceData,$ORdata) = @_;
my $mintries = 1;
my $maxtries = $env{'form.NumPlots'};
my ($table,$Foils,$Concepts) = &build_foil_index($ORdata);
if (! defined($Concepts)) {
$Concepts = [];
}
my %response_data = &OR_analyze_by_tries($r,$PerformanceData,
$mintries,$maxtries);
my $analysis = '';
#
# Compute the data necessary to make the plots
my @foil_plot;
my @concept_data;
for (my $j=0;$j<=scalar(@$Concepts);$j++) {
my $concept = $Concepts->[$j];
foreach my $foilid (@{$concept->{'foils'}}) {
for (my $try=$mintries;$try<=$maxtries;$try++) {
# concept analysis data
$concept_data[$j]->[$try]->{'_correct'} +=
$response_data{$foilid}->[$try]->{'_correct'};
$concept_data[$j]->[$try]->{'_total'} +=
$response_data{$foilid}->[$try]->{'_total'};
#
# foil analysis data
if ($response_data{$foilid}->[$try]->{'_total'} == 0) {
push(@{$foil_plot[$try]->{'_correct'}},0);
} else {
push(@{$foil_plot[$try]->{'_correct'}},
100*$response_data{$foilid}->[$try]->{'_correct'}/
$response_data{$foilid}->[$try]->{'_total'});
}
foreach my $option (@{$ORdata->{'_Options'}}) {
push(@{$foil_plot[$try]->{'_total'}},
$response_data{$foilid}->[$try]->{'_total'});
if ($response_data{$foilid}->[$try]->{'_total'} == 0) {
push (@{$foil_plot[$try]->{$option}},0);
} else {
if ($response_data{$foilid}->[$try]->{'_total'} ==
$response_data{$foilid}->[$try]->{'_correct'}) {
push(@{$foil_plot[$try]->{$option}},0);
} else {
push (@{$foil_plot[$try]->{$option}},
100 *
$response_data{$foilid}->[$try]->{$option} /
($response_data{$foilid}->[$try]->{'_total'}
-
$response_data{$foilid}->[$try]->{'_correct'}
));
}
}
} # End of foreach my $option
}
} # End of foreach my $foilid
} # End of concept loops
#
# Build a table for the plots
my $analysis_html = "
\n";
my $optionkey = &build_option_index($ORdata);
my $num_concepts = 1;
if (defined($Concepts)) { $num_concepts = scalar(@$Concepts); }
#
for (my $try=$mintries;$try<=$maxtries;$try++) {
if (! defined($response_data{'_total'}->[$try]) ||
$response_data{'_total'}->[$try] == 0) {
if ($try > 1) {
$analysis_html.= '
'.
&mt('None of the selected students attempted the problem more than [_1] times.',$try-1).
'
';
} else {
$analysis_html.= '
'.
&mt('None of the selected students have attempted the problem').'
';
}
last;
}
my $concept_graph='';
if ($num_concepts > 1) {
#
# Create concept plot
my @concept_plot_data;
for (my $j=0;$j<=$#concept_data;$j++) {
my $total = $concept_data[$j]->[$try]->{'_total'};
if ($total == 0) {
$concept_plot_data[$j] = 0;
} else {
$concept_plot_data[$j] = 100 *
sprintf('%0.3f',
$concept_data[$j]->[$try]->{'_correct'} /
$total);
}
}
#
$concept_graph = &Apache::loncommon::DrawBarGraph
('Correct Concepts','Concept Number','Percent Correct',
100,$plotcolors,undef,\@concept_plot_data,{xskip=>1});
}
#
# Create Foil Plots
my $data_count = $response_data{'_total'}->[$try];
my $correct = $response_data{'_correct'}->[$try];
$correct |= 0;
my @Datasets;
foreach my $option ('_correct',@{$ORdata->{'_Options'}}) {
next if (! exists($foil_plot[$try]->{$option}));
push(@Datasets,$foil_plot[$try]->{$option});
}
#
# Put a blank in the data set between concepts
for (my $set =0;$set<=$#Datasets;$set++) {
my @Data = @{$Datasets[$set]};
my $idx = 0;
foreach my $concept (@{$Concepts}) {
foreach my $foilid (@{$concept->{'foils'}}) {
$Datasets[$set]->[$idx++]=shift(@Data);
}
if ($concept->{'name'} ne $Concepts->[-1]->{'name'}) {
$Datasets[$set]->[$idx++] = 0;
}
}
}
#
# Set up the labels needed for the bar graph
my @Labels;
my $idx = 1;
foreach my $concept (@{$Concepts}) {
foreach my $foilid (@{$concept->{'foils'}}) {
push(@Labels,$idx++);
}
push(@Labels,'');
}
#
my $correct_graph = &Apache::loncommon::DrawBarGraph
('Correct Statements','Statement','% Answered Correct',
100,$plotcolors,\@Labels,$Datasets[0],{xskip=>1});
#
#
next if (! defined($Datasets[0]));
for (my $i=0; $i< scalar(@{$Datasets[0]});$i++) {
$Datasets[0]->[$i]=0;
}
my $count = $response_data{'_total'}->[$try] -
$response_data{'_correct'}->[$try];
my $incorrect_graph = &Apache::loncommon::DrawBarGraph
('Incorrect Statements','Statement','% Chosen Incorrectly',
100,$plotcolors,\@Labels,@Datasets,{xskip=>1});
$analysis_html.=
'
';
#
return $table;
}
sub OR_Foil_Time_Analysis {
my ($processed_time_data,$correct,$data_count,$student_count,
$ORdata,$Foils,$Concepts) = @_;
if ($data_count <= 0) {
return ('
'.&mt('There is no data to plot').'
','');
}
my $analysis_html;
my @plotdata;
my @labels;
foreach my $concept (@{$Concepts}) {
foreach my $foil (@{$concept->{'foils'}}) {
push(@labels,scalar(@labels)+1);
my $total = $processed_time_data->{$foil}->{'_total'};
if ($total == 0) {
push(@{$plotdata[0]},0);
} else {
push(@{$plotdata[0]},
100 * $processed_time_data->{$foil}->{'_correct'} / $total);
}
my $total_incorrect = $total - $processed_time_data->{$foil}->{'_correct'};
for (my $i=0;$i{'_Options'}});$i++) {
my $option = $ORdata->{'_Options'}->[$i];
if ($total_incorrect == 0) {
push(@{$plotdata[$i+1]},0);
} else {
push(@{$plotdata[$i+1]},
100 * $processed_time_data->{$foil}->{$option} / $total_incorrect);
}
}
}
# Put in a blank one
push(@labels,'');
push(@{$plotdata[0]},0);
for (my $i=0;$i{'_Options'}});$i++) {
push(@{$plotdata[$i+1]},0);
}
}
#
# Create the plot
my $correct_plot = &Apache::loncommon::DrawBarGraph('Correct Statements',
'Statement Number',
'Percent Correct',
100,
$plotcolors,
undef,
$plotdata[0],
{xskip=>1});
for (my $j=0; $j< scalar(@{$plotdata[0]});$j++) {
$plotdata[0]->[$j]=0;
}
my $incorrect_plot =
&Apache::loncommon::DrawBarGraph('Incorrect Statements',
'Statement Number',
'Incorrect Option Choice',
100,
$plotcolors,
undef,
@plotdata,{xskip=>1});
return ($correct_plot,$incorrect_plot);
}
sub OR_Concept_Time_Analysis {
my ($processed_time_data,$correct,$data_count,$student_count,
$ORdata,$Concepts) = @_;
return '' if ($data_count == 0);
#
# Put the data in plottable form
my @plotdata;
foreach my $concept (@$Concepts) {
my ($total,$correct);
foreach my $foil (@{$concept->{'foils'}}) {
$total += $processed_time_data->{$foil}->{'_total'};
$correct += $processed_time_data->{$foil}->{'_correct'};
}
if ($total == 0) {
push(@plotdata,0);
} else {
push(@plotdata,100 * $correct / $total);
}
}
#
# Create the plot
return &Apache::loncommon::DrawBarGraph('Correct Concepts',
'Concept Number',
'Percent Correct',
100,
$plotcolors,
undef,
\@plotdata,{xskip=>1});
}
sub OR_time_process_data {
my ($performance_data,$begin_index,$end_index)=@_;
my %processed_time_data;
my %distinct_students;
my ($correct,$data_count);
if (($begin_index == $end_index) &&
($end_index != scalar(@$performance_data)-1)) {
return undef;
}
# Be sure we include the last one if we are asked for it.
# That we have to correct here (and not when $end_index is
# given a value) should probably be considered a bug.
if ($end_index == scalar(@$performance_data)-1) {
$end_index++;
}
my $count;
for (my $i=$begin_index;$i<$end_index;$i++) {
my $attempt = $performance_data->[$i];
$count++;
next if (! defined($attempt));
my %attempt = &Process_OR_Row($attempt);
$data_count++;
$correct += $attempt{'_correct'};
$distinct_students{$attempt->[&Apache::loncoursedata::RD_student_id()]}++;
while (my ($foilid,$href) = each(%attempt)) {
if (! ref($href)) {
$processed_time_data{$foilid} += $href;
next;
}
while (my ($option,$value) = each(%$href)) {
$processed_time_data{$foilid}->{$option}+=$value;
}
}
}
return (\%processed_time_data,$correct,$data_count,
scalar(keys(%distinct_students)));
}
sub build_foil_index {
my ($ORdata) = @_;
return if (! exists($ORdata->{'_Foils'}));
my %Foildata = %{$ORdata->{'_Foils'}};
my @Foils = sort(keys(%Foildata));
my %Concepts;
foreach my $foilid (@Foils) {
push(@{$Concepts{$Foildata{$foilid}->{'_Concept'}}},
$foilid);
}
undef(@Foils);
# Having gathered the concept information in a hash, we now translate it
# into an array because we need to be consistent about order.
# Also put the foils in order, too.
my $sortfunction = sub {
my %Numbers = (one => 1,
two => 2,
three => 3,
four => 4,
five => 5,
six => 6,
seven => 7,
eight => 8,
nine => 9,
ten => 10,);
my $a1 = lc($a);
my $b1 = lc($b);
if (exists($Numbers{$a1})) {
$a1 = $Numbers{$a1};
}
if (exists($Numbers{$b1})) {
$b1 = $Numbers{$b1};
}
if (($a1 =~/^\d+$/) && ($b1 =~/^\d+$/)) {
return $a1 <=> $b1;
} else {
return $a1 cmp $b1;
}
};
my @Concepts;
foreach my $concept (sort $sortfunction (keys(%Concepts))) {
if (! defined($Concepts{$concept})) {
$Concepts{$concept}=[];
# next;
}
push(@Concepts,{ name => $concept,
foils => [@{$Concepts{$concept}}]});
push(@Foils,(@{$Concepts{$concept}}));
}
#
# Build up the table of row labels.
my $table = '
'."\n";
if (@Concepts > 1) {
$table .= '
'.
'
'.&mt('Concept Number').'
'.
'
'.&mt('Concept').'
'.
'
'.&mt('Foil Number').'
'.
'
'.&mt('Foil Name').'
'.
'
'.&mt('Foil Text').'
'.
'
'.&mt('Correct Value').'
'.
"
\n";
} else {
$table .= '
'.
'
'.&mt('Foil Number').'
'.
'
'.&mt('Foil Name').'
'.
'
'.&mt('Foil Text').'
'.
'
'.&mt('Correct Value').'
'.
"
\n";
}
my $conceptindex = 1;
my $foilindex = 1;
foreach my $concept (@Concepts) {
my @FoilsInConcept = @{$concept->{'foils'}};
my $firstfoil = shift(@FoilsInConcept);
if (@Concepts > 1) {
$table .= '