# The LearningOnline Network with CAPA
#
# $Id: lonproblemanalysis.pm,v 1.133 2008/12/11 14:55:27 bisitz 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;
use lib '/home/httpd/lib/perl/';
use LONCAPA;
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',
'Groups' => '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'})) {
$r->print('<div class="LC_warning">'
.&mt('There are no students in the sections/groups selected.')
.'</div>'
);
}
#
my @CacheButtonHTML =
&Apache::lonstathelpers::manage_caches($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("<br />\n");
} else {
$r->print('<input type="submit" name="'.$button->{'name'}.'" '.
'value="'.&mt($button->{'text'}).'" />');
$r->print(' 'x5);
}
}
foreach my $html (@CacheButtonHTML) {
$r->print($html.(' 'x5));
}
#
# This is commented out pending actual implementation of
# CSV and Excel output.
#$r->print(&Apache::lonstathelpers::submission_report_form
# ('problem_analysis'));
#
$r->print('<hr />');
$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('<input type="hidden" name="problemchoice" value="'.
$env{'form.problemchoice'}.'" />');
#
if (! defined($current_problem->{'resource'})) {
$r->print('resource is undefined');
} else {
my $resource = $current_problem->{'resource'};
$r->print('<h1>'.$resource->compTitle.'</h1>');
$r->print('<h3>'.$resource->src.'</h3>');
$r->print('<h4>'.&Apache::lonstatistics::section_and_enrollment_description().'</h4>');
if ($env{'form.show_prob'} eq 'true') {
$r->print('<hr />'
.&Apache::lonstathelpers::render_resource($resource)
.'<hr />'
);
}
$r->rflush();
if (@Students) {
my %Data = &Apache::lonstathelpers::get_problem_data
($resource->src);
my $problem_data = $Data{$current_problem->{'part'}.
'.'.
$current_problem->{'respid'}};
if ($current_problem->{'resptype'} eq 'option') {
&OptionResponseAnalysis($r,$current_problem,
$problem_data,
\@Students);
} elsif ($current_problem->{'resptype'} eq 'radiobutton') {
&radio_response_analysis($r,$current_problem,
$problem_data,
\@Students);
} elsif ($current_problem->{'resptype'} eq 'numerical') {
&numerical_response_analysis($r,$current_problem,
$problem_data,\@Students);
} else {
$r->print('<div class="LC_warning">'
.&mt('Analysis of [_1] is not supported.'
,$current_problem->{'resptype'})
.'</div>'
);
}
}
}
$r->print('<hr />');
} else {
my $submit_button = '<input type="submit" '.
'name="ProblemAnalysis" value="'.
&mt('Analyze Problem').'" />';
$r->print($submit_button);
$r->print(' 'x5);
$r->print('<h3>'.&mt('Please select a problem to analyze').'</h3>');
$r->print(&Apache::lonstathelpers::problem_selector($problem_types,
$submit_button));
}
}
#########################################################
#########################################################
##
## Numerical Response Routines
##
#########################################################
#########################################################
sub numerical_response_analysis {
my ($r,$problem,$problem_analysis,$students) = @_;
my $c = $r->connection();
#
if ($env{'form.AnalyzeOver'} !~ /^(tries|time)$/) {
$r->print('Bad request');
}
#
my ($resource,$partid,$respid) = ($problem->{'resource'},
$problem->{'part'},
$problem->{'respid'});
# Gather student data
my $response_data = &Apache::loncoursedata::get_response_data
([&Apache::lonstatistics::get_selected_sections()],
[&Apache::lonstatistics::get_selected_groups()],
$Apache::lonstatistics::enrollment_status,
$resource->symb,$respid);
#
$problem_analysis->{'answercomputed'} = 1;
if ($problem_analysis->{'answercomputed'}) {
my $answers =
&Apache::lonstathelpers::GetStudentAnswers($r,$problem,$students,
'Statistics',
'stats_status');
$r->print(&numerical_one_dimensional_plot($r,600,150,$answers));
}
#
if (ref($response_data) ne 'ARRAY') {
$r->print('<div class="LC_warning">'
.&mt('There is no submission data for this resource.')
.'</div>'
);
return;
}
my $analysis_html = '<table>';
for (my $plot_num = 1;$plot_num<=$env{'form.NumPlots'};$plot_num++) {
my $restriction_function;
my $header_message;
my $stats_message;
my $post_message; # passed through &mt sooner rather than later
my $no_data_message;
my @extra_data;
if ($env{'form.AnalyzeOver'} eq 'tries') {
$restriction_function = sub {($_[0]->{'tries'} == $plot_num?1:0)};
$header_message = 'Attempt [_1]';
$stats_message =
'[_1] submissions, [_2] correct, [_3] incorrect';
$post_message = '';
$no_data_message = 'No data exists for attempt [_1].';
} else {
my $starttime = &Apache::lonhtmlcommon::get_date_from_form
('startdate_'.$plot_num);
my $endtime = &Apache::lonhtmlcommon::get_date_from_form
('enddate_'.$plot_num);
($starttime,$endtime) = &ensure_start_end_times
($starttime,$endtime,
&get_time_from_row($response_data->[0]),
&get_time_from_row($response_data->[-1]),
$plot_num);
$header_message = 'Data from [_2] to [_3]';
$extra_data[0] = &Apache::lonlocal::locallocaltime($starttime);
$extra_data[1] = &Apache::lonlocal::locallocaltime($endtime);
#
$stats_message =
'[_1] submissions from [_4] students, [_2] correct, [_3] incorrect';
#
$post_message =
&mt('Start time: [_1]',
&Apache::lonhtmlcommon::date_setter
('Statistics','startdate_'.$plot_num,$starttime)).
'<br />'.
&mt('End time: [_1]',
&Apache::lonhtmlcommon::date_setter
('Statistics','enddate_'.$plot_num,$endtime));
$restriction_function =
sub {
my $t = $_[0]->{'timestamp'};
if ($t >= $starttime && $t < $endtime) {
return 1;
} else {
return 0;
}
};
$no_data_message = 'No data for [_2] to [_3]';
}
#
my ($correct,$answers) =
&numerical_determine_answers($r,$resource,$partid,
$respid,$students);
if ($c->aborted()) { return; };
#
my ($responses,$stats) =
&numerical_classify_responses($response_data,$correct,
$restriction_function);
if ($stats->{'submission_count'} == 0) {
$analysis_html.=
'<tr><td colspan="2"><div class="LC_warning">'.
&mt($no_data_message,$plot_num,@extra_data).
'</div></td></tr>';
} else {
$analysis_html.=
'<tr><td colspan="2" align="center"><font size="+1"><b>'.
&mt($header_message,$plot_num,@extra_data).
'</b></font></td></tr>'.
'<tr><td colspan="2" align="center">'.
&mt($stats_message,
$stats->{'submission_count'},
$stats->{'correct_count'},
$stats->{'incorrect_count'},
$stats->{'students'},
@extra_data).
'</td></tr>'.
'<tr>'.'<td valign="top" align="center">'.
&numerical_plot_percent($r,$responses,$stats).'</td>'.
'<td align="center" valign="top">'.
&numerical_plot_differences($r,$responses,$stats).'</td>'.
'</tr>';
}
if ($post_message ne '') {
$analysis_html .=
'<tr><td colspan="2">'.$post_message.'</td></tr>';
}
}
$analysis_html.='</table>';
$r->print($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;
}
}
$percent_spread = $highest_percent - $lowest_percent;
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 = $_;
if ( ($percent_spread/$bin_size) < $max_bins ) {
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) {
$high_bin+=1;
$low_bin-=1;
}
if (!$min_bin_size ||
($high_bin -$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 $table =
'<table><tr><th>'.&mt('Bar').'</th>'.
'<th colspan="3">'.&mt('Range').'</th>'.
'<th>'.&mt('Incorrect').'</th>'.
'<th>'.&mt('Correct').'</th>'.
'<th>'.&mt('Count').'</th>'.
'</tr>'.$/;
for (my $i=0;$i<scalar(@{$bins}-1);$i++) {
my $lownum = $bins->[$i];
if ($i == 0) { $lownum = '-∞'; }
my $highnum = $bins->[$i+1];
if ($i == scalar(@{$bins})-2) { $highnum = '∞'; }
$table .=
'<tr>'.
'<td>'.$labels->[$i].'</td>'.
'<td align="right">'.$lownum.'</td>'.
'<td> - </td>'.
'<td align="right">'.$highnum.'</td>'.
'<td align="right">'.$incorrect->[$i].'</td>'.
'<td align="right">'.$correct->[$i].'</td>'.
'<td align="right">'.$count->[$i].'</td>'.
'</tr>'.$/;
}
$table.= '</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;
# pick one of the possible answers
my $which = 'INTERNAL';
if (!exists($analysis->{$key}{$which})) {
$which = (sort(keys(%{ $analysis->{$key} })))[0];
}
foreach my $item ('answer','unit','ans_high','ans_low') {
if (ref($analysis->{$key.'.'.$item}) eq 'ARRAY') {
$correct->{$sname.':'.$sdom}->{$item} =
$analysis->{$key.'.'.$item}[0];
} else {
$correct->{$sname.':'.$sdom}->{$item} =
$analysis->{$key.'.'.$item}{$which}[0][0];
}
}
$answers{$correct->{$sname.':'.$sdom}{'answer'}}++;
&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 $plot =
qq{<drawimage width="$width" height="$height" bgcolor="transparent" >};
while (my ($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 .= '</drawimage>';
my $plotresult = &Apache::lonxml::xmlparse($r,'web',$plot);
my $result = '<table>'.
'<tr><td colspan="3" align="center">'.
'<font size="+2">'.&mt('Distribution of correct answers').'</font>'.
'<br />'.&mt('[_1] students, [_2] distinct correct answers',
$n,scalar(keys(%$data))).
'<br />'.&mt('Maximum number of coinciding values: [_1]',$max_y).
'</td></tr>'.
'<tr>'.
'<td valign="center">'.$min_x.'</td>'.
'<td>'.$plotresult.'</td>'.
'<td valign="center">'.$max_x.'</td>'.
'</tr>'.
'</table>';
return $result;
}
##
## Helper subroutines for <drawimage>.
## These should probably go somewhere more suitable soon.
sub line {
my ($x1,$y1,$x2,$y2,$color,$thickness) = @_;
return qq{<line x1="$x1" y1="$y1" x2="$x2" y2="$y2" color="$color" thickness="$thickness" />};
}
sub text {
my ($x,$y,$color,$text,$font,$direction) = @_;
if (! defined($font) || $font !~ /^(tiny|small|medium|large|giant)$/) {
$font = 'medium';
}
if (! defined($direction) || $direction ne 'vertical') {
$direction = '';
}
return qq{<text x="$x" y="$y" color="$color" font="$font" direction="$direction" >$text</text>};
}
sub rectangle {
my ($x1,$y1,$x2,$y2,$color,$thickness,$filled) = @_;
return qq{<rectangle x1="$x1" y1="$y1" x2="$x2" y2="$y2" color="$color" thickness="$thickness" filled="$filled" />};
}
sub arc {
my ($x,$y,$width,$height,$start,$end,$color,$thickness,$filled)=@_;
return qq{<arc x="$x" y="$y" width="$width" height="$height" start="$start" end="$end" color="$color" thickness="$thickness" filled="$filled" />};
}
sub circle {
my ($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::get_selected_groups()],
$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'}.':'.$student->{'domain'}}=
&unescape($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 = '<div class="LC_warning">'
.&mt('There is no submission data for this resource.')
.'</div>';
$r->print($analysis_html);
return;
}
#
$analysis_html.='<table>';
for (my $plot_num = 1;$plot_num<=$env{'form.NumPlots'};$plot_num++) {
# classify data ->correct foil -> selected foil
my ($restriction_function,
$correct_foil_title,$incorrect_foil_title,
$pre_graph_text,$post_graph_text,
$no_data_text,@extra_data);
if ($env{'form.AnalyzeOver'} eq 'tries') {
$restriction_function = sub {($_[0]->{'tries'} == $plot_num?1:0)};
$correct_foil_title = 'Attempt '.$plot_num;
$incorrect_foil_title = 'Attempt '.$plot_num;
$pre_graph_text =
'Attempt [_1], [_2] submissions, [_3] correct, [_4] incorrect';
$post_graph_text = '';
$no_data_text = 'No data exists for attempt [_1]';
} elsif ($env{'form.AnalyzeOver'} eq 'time') {
my $starttime = &Apache::lonhtmlcommon::get_date_from_form
('startdate_'.$plot_num);
my $endtime = &Apache::lonhtmlcommon::get_date_from_form
('enddate_'.$plot_num);
($starttime,$endtime) = &ensure_start_end_times
($starttime,$endtime,
&get_time_from_row($response_data->[0]),
&get_time_from_row($response_data->[-1]),
$plot_num);
$pre_graph_text =
'Data from [_6] to [_7]'
.'<br />'
.'[_2] submissions from [_5] students, [_3] correct, [_4] incorrect';
$extra_data[0] = &Apache::lonlocal::locallocaltime($starttime);
$extra_data[1] = &Apache::lonlocal::locallocaltime($endtime);
#
$post_graph_text =
&mt('Start time: [_1]',
&Apache::lonhtmlcommon::date_setter
('Statistics','startdate_'.$plot_num,$starttime)).
'<br />'.
&mt('End time: [_1]',
&Apache::lonhtmlcommon::date_setter
('Statistics','enddate_'.$plot_num,$endtime));
$restriction_function =
sub {
my $t = $_[0]->{'timestamp'};
if ($t >= $starttime && $t < $endtime) {
return 1;
} else {
return 0;
}
};
$no_data_text = 'No data for [_5] to [_6]';
}
my $foil_choice_data =
&classify_response_data($response_data,$correct,
$restriction_function);
# &Apache::lonstathelpers::log_hash_ref($foil_choice_data);
my $answers;
if (ref($correct)) {
my %tmp;
foreach my $foil (values(%$correct)) {
$tmp{$foil}++;
}
$answers = [keys(%tmp)];
} else {
$answers = [$correct];
}
# Concept Plot
my $concept_plot = '';
if (scalar(@$concepts) > 1) {
$concept_plot = &RR_concept_plot($concepts,$foil_choice_data,
'Correct Concepts');
}
# % Choosing plot
my $choice_plot = &RR_create_percent_selected_plot
($concepts,$foils,$foil_choice_data,$correct_foil_title);
# for each correct foil, how did they mark it? (stacked bar graph)
my ($stacked_plot,$count_by_foil);
if ($problem_analysis->{'answercomputed'} || $num_true > 1) {
($stacked_plot,$count_by_foil) =
&RR_create_stacked_selection_plot($foils,$foil_choice_data,
$incorrect_foil_title,
\%true_foils);
}
#
if ($concept_plot ne '' ||
$choice_plot ne '' ||
$stacked_plot ne '') {
my $correct = $foil_choice_data->{'_correct'};
$correct |= 0;
my $incorrect = $foil_choice_data->{'_count'}-$correct;
$analysis_html.= '<tr><td colspan="4" align="center">'.
'<font size="+1">'.
&mt($pre_graph_text,
$plot_num,$foil_choice_data->{'_count'},
$correct,
$incorrect,
$foil_choice_data->{'_students'},
@extra_data).
'</td></tr>'.$/;
$analysis_html.=
'<tr>'.
'<td>'.$concept_plot.'</td>'.
'<td>'.$choice_plot.'</td>';
if ($stacked_plot ne '') {
$analysis_html .=
'<td>'.$stacked_plot.'</td>'.
'<td>'.&build_foil_key($foils,$count_by_foil).'</td>';
} else {
$analysis_html .= ('<td></td>'x2);
}
$analysis_html.='</tr>'.$/;
if (defined($post_graph_text)) {
$analysis_html.= '<tr><td colspan="4" align="center">'.
$post_graph_text.'</td></tr>'.$/;
}
} elsif ($no_data_text ne '') {
$analysis_html.='<tr><td colspan="4" align="center">'.
'<div class="LC_warning">'.
&mt($no_data_text,
$plot_num,$foil_choice_data->{'_count'},
$correct,
$foil_choice_data->{'_count'}-$correct,
@extra_data).
'</div>';
if (defined($post_graph_text)) {
$analysis_html.='<br />'.$post_graph_text;
}
$analysis_html.='</td></tr>'.$/;
}
} # end of loop for plots
$analysis_html.='</table>';
$r->print($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<scalar(@$concepts);$i++) {
my $concept = $concepts->[$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<scalar(@$foils);$i++) {
my $foil = $foils->[$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<scalar(@$foils);$i++) {
my $foil = $foils->[$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<scalar(@$foils);$j++) {
my $value = 0;
if ($i != $j ) {
$value += $foil_data->{$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<scalar(@dataset);$j++) {
$bar_total += $dataset[$j]->[$bar];
}
next if ($bar_total == 0);
for (my $j=0;$j<scalar(@dataset);$j++) {
$dataset[$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::get_selected_groups()],
$Apache::lonstatistics::enrollment_status,
$resource->symb,$respid);
if (! defined($PerformanceData) ||
ref($PerformanceData) ne 'ARRAY' ) {
$r->print('<div class="LC_warning">'
.&mt('There is no student data for this problem.')
.'</div>'
);
} else {
$r->rflush();
if ($env{'form.AnalyzeOver'} eq 'tries') {
my $analysis_html = &OR_tries_analysis($r,
$PerformanceData,
$problem_data);
$r->print($analysis_html);
$r->rflush();
} elsif ($env{'form.AnalyzeOver'} eq 'time') {
my $analysis_html = &OR_time_analysis($PerformanceData,
$problem_data);
$r->print($analysis_html);
$r->rflush();
} else {
$r->print('div class="LC_warning"'
.&mt('The analysis you have selected is not supported at this time.')
.'</div>'
);
}
}
}
#########################################################
#
# Option Response: tries Analysis
#
#########################################################
sub OR_tries_analysis {
my ($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 = "<br /><table>\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) {
$analysis_html.= '<tr><td colspan="4">'
.'<div class="LC_info">'
.&mt('None of the selected students attempted the problem more than [_1] times.'
,$try-1)
.'</div>'
.'</td></tr>';
} else {
$analysis_html.= '<tr><td colspan="4">'
.'<div class="LC_info">'
.&mt('None of the selected students have attempted the problem.')
.'</div>'
.'</td></tr>';
}
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.=
'<tr><td colspan="4" align="center">'.
'<font size="+1">'.
&mt('Attempt [_1], [_2] submissions, [_3] correct, [_4] incorrect',
$try,$data_count,$correct,$data_count-$correct).
'</font>'.'</td></tr>'.$/.
'<tr>'.
'<td>'.$concept_graph.'</td>'.
'<td>'.$correct_graph.'</td>'.
'<td>'.$incorrect_graph.'</td>'.
'<td>'.$optionkey.'<td>'.
'</tr>'.$/;
}
$analysis_html .= "</table>\n";
$table .= $analysis_html;
return $table;
}
sub OR_analyze_by_tries {
my ($r,$PerformanceData,$mintries,$maxtries) = @_;
my %Trydata;
$mintries = 1 if (! defined($mintries) || $mintries < 1);
$maxtries = $mintries if (! defined($maxtries) || $maxtries < $mintries);
my @students;
foreach my $row (@$PerformanceData) {
next if (! defined($row));
my $tries = &get_tries_from_row($row);
my %Row = &Process_OR_Row($row);
next if (! %Row);
my $student_id = $row->[&Apache::loncoursedata::RD_student_id()];
$students[$tries]->{$student_id}++;
while (my ($foilid,$href) = each(%Row)) {
if (! ref($href)) {
$Trydata{$foilid}->[$tries] += $href;
next;
}
while (my ($option,$value) = each(%$href)) {
$Trydata{$foilid}->[$tries]->{$option}+=$value;
}
}
}
for (my $try=$mintries;$try<=$maxtries;$try++) {
$Trydata{'_studentcount'}->[$try] = scalar(keys(%{$students[$try]}));
}
return %Trydata;
}
#########################################################
#
# Option Response: Time Analysis
#
#########################################################
sub OR_time_analysis {
my ($performance_data,$ORdata) = @_;
my ($table,$Foils,$Concepts) = &build_foil_index($ORdata);
my $foilkey = &build_option_index($ORdata);
my $num_concepts = 1;
if (defined($Concepts)) { $num_concepts = scalar(@$Concepts); }
#
if ($num_concepts < 2) {
$table = '<h3>'.
&mt('Not enough data for concept analysis. '.
'Performing Foil Analysis').
'</h3>'.$table;
}
#
my $num_plots = $env{'form.NumPlots'};
my $num_data = scalar(@$performance_data)-1;
#
my $current_index;
$table .= "<table>\n";
for (my $i=0;$i<$num_plots;$i++) {
##
my $starttime = &Apache::lonhtmlcommon::get_date_from_form
('startdate_'.$i);
my $endtime = &Apache::lonhtmlcommon::get_date_from_form
('enddate_'.$i);
if (! defined($starttime) || ! defined($endtime)) {
my $sec_in_day = 86400;
my $last_sub_time = &get_time_from_row($performance_data->[-1]);
my ($sday,$smon,$syear) =
(localtime($last_sub_time - $sec_in_day*$i))[3..5];
$starttime = &Time::Local::timelocal(0,0,0,$sday,$smon,$syear);
$endtime = $starttime + $sec_in_day;
if ($i == ($num_plots -1 )) {
$starttime = &get_time_from_row($performance_data->[0]);
}
}
$table .= '<tr><td colspan="4" align="center"><font size="+1">'.
&mt('Data from [_1] to [_2]',
&Apache::lonlocal::locallocaltime($starttime),
&Apache::lonlocal::locallocaltime($endtime)).
'</font></td></tr>'.$/;
my $startdateform = &Apache::lonhtmlcommon::date_setter
('Statistics','startdate_'.$i,$starttime);
my $enddateform = &Apache::lonhtmlcommon::date_setter
('Statistics','enddate_'.$i,$endtime);
#
my $begin_index;
my $end_index;
my $j;
while (++$j < scalar(@$performance_data)) {
last if (&get_time_from_row($performance_data->[$j])
> $starttime);
}
$begin_index = $j;
while ($j < scalar(@$performance_data)) {
if (&get_time_from_row($performance_data->[$j]) > $endtime) {
last;
} else {
$j++;
}
}
$end_index = $j;
##
my ($processed_time_data,$correct,$data_count,$student_count) =
&OR_time_process_data($performance_data,$begin_index,$end_index);
$correct |= 0;
##
$table .= '<tr><td colspan="4" align="center"><font size="+1">'.
&mt('[_1] submissions from [_2] students, [_3] correct, [_4] incorrect',
$data_count,$student_count,$correct,$data_count-$correct).
'</font></td></tr>'.$/;
my $concept_correct_plot = '';
if ($num_concepts > 1) {
$concept_correct_plot =
&OR_Concept_Time_Analysis($processed_time_data,
$correct,$data_count,$student_count,
$ORdata,$Concepts);
}
my ($foil_correct_plot,$foil_incorrect_plot) =
&OR_Foil_Time_Analysis($processed_time_data,
$correct,$data_count,$student_count,
$ORdata,$Foils,$Concepts);
$table .= '<tr>'.
'<td>'.$concept_correct_plot.'</td>'.
'<td>'.$foil_correct_plot.'</td>'.
'<td>'.$foil_incorrect_plot.'</td>'.
'<td align="left" valign="top">'.$foilkey.'</td></tr>'.$/;
$table .= '<tr><td colspan="4" align="center">'.
&mt('Start time: [_1]',$startdateform).'<br />'.
&mt('End time: [_1]',$enddateform).'</td></tr>'.$/;
$table.= '<tr><td colspan="4"> </td></tr>'.$/;
}
$table .= '</table>';
#
return $table;
}
sub OR_Foil_Time_Analysis {
my ($processed_time_data,$correct,$data_count,$student_count,
$ORdata,$Foils,$Concepts) = @_;
if ($data_count <= 0) {
return ('<div class="LC_warning">'
.&mt('There is no data to plot.')
.'</div>'
,''
);
}
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<scalar(@{$ORdata->{'_Options'}});$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<scalar(@{$ORdata->{'_Options'}});$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 = &Apache::loncommon::start_data_table();
if (@Concepts > 1) {
$table .= &Apache::loncommon::start_data_table_header_row().
'<th>'.&mt('Concept Number').'</th>'.
'<th>'.&mt('Concept').'</th>'.
'<th>'.&mt('Foil Number').'</th>'.
'<th>'.&mt('Foil Name').'</th>'.
'<th>'.&mt('Foil Text').'</th>'.
'<th>'.&mt('Correct Value').'</th>'.
&Apache::loncommon::end_data_table_header_row();
} else {
$table .= &Apache::loncommon::start_data_table_header_row().
'<th>'.&mt('Foil Number').'</th>'.
'<th>'.&mt('Foil Name').'</th>'.
'<th>'.&mt('Foil Text').'</th>'.
'<th>'.&mt('Correct Value').'</th>'.
&Apache::loncommon::end_data_table_header_row();
}
my $conceptindex = 1;
my $foilindex = 1;
foreach my $concept (@Concepts) {
my @FoilsInConcept = @{$concept->{'foils'}};
my $firstfoil = shift(@FoilsInConcept);
if (@Concepts > 1) {
$table .= &Apache::loncommon::start_data_table_row().
'<td>'.$conceptindex.'</td>'.
'<td>'.&HTML::Entities::encode($concept->{'name'},'<>&"').'</td>'.
'<td>'.$foilindex++.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$firstfoil}->{'name'},'<>&"').'</td>'.
'<td>'.$Foildata{$firstfoil}->{'text'}.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$firstfoil}->{'value'},'<>&"').'</td>'.
&Apache::loncommon::end_data_table_row();
} else {
$table .= &Apache::loncommon::start_data_table_row().
'<td>'.$foilindex++.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$firstfoil}->{'name'},'<>&"').'</td>'.
'<td>'.$Foildata{$firstfoil}->{'text'}.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$firstfoil}->{'value'},'<>&"').'</td>'.
&Apache::loncommon::end_data_table_row();
}
foreach my $foilid (@FoilsInConcept) {
if (@Concepts > 1) {
$table .= &Apache::loncommon::start_data_table_row().
'<td></td>'.
'<td></td>'.
'<td>'.$foilindex.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$foilid}->{'name'},'<>&"').'</td>'.
'<td>'.$Foildata{$foilid}->{'text'}.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$foilid}->{'value'},'<>&"').'</td>'.
&Apache::loncommon::end_data_table_row();
} else {
$table .= &Apache::loncommon::start_data_table_row().
'<td>'.$foilindex.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$foilid}->{'name'},'<>&"').'</td>'.
'<td>'.$Foildata{$foilid}->{'text'}.'</td>'.
'<td>'.&HTML::Entities::encode($Foildata{$foilid}->{'value'},'<>&"').'</td>'.
&Apache::loncommon::end_data_table_row();
}
} continue {
$foilindex++;
}
} continue {
$conceptindex++;
}
$table .= &Apache::loncommon::end_data_table();
#
# Build option index with color stuff
return ($table,\@Foils,\@Concepts);
}
sub build_option_index {
my ($ORdata)= @_;
my $table = "<table>\n";
my $optionindex = 0;
my @Rows;
foreach my $option (&mt('correct option chosen'),@{$ORdata->{'_Options'}}) {
my $color = $plotcolors->[$optionindex++];
push (@Rows,
'<tr>'.
'<td bgcolor="'.$color.'">'.
'<font color="'.$color.'">'.('*'x3).'</font>'.'</td>'.
'<td>'.&HTML::Entities::encode($option,'<>&"').'</td>'.
"</tr>\n");
}
shift(@Rows); # Throw away 'correct option chosen' color
$table .= join('',reverse(@Rows));
$table .= "</table>\n";
}
sub build_foil_key {
my ($foils,$extra_data)= @_;
if (! defined($extra_data)) { $extra_data = {}; }
my $table = "<table>\n";
my $foil_index = 0;
my @rows;
foreach my $foil (&mt('correct foil chosen'),@{$foils}) {
my $color = $plotcolors->[$foil_index++];
push (@rows,
'<tr>'.
'<td bgcolor="'.$color.'" class="key">'.
'<font color="'.$color.'">'.('*'x4).'</font></td>'.
'<td>'.&HTML::Entities::encode($foil,'<>&"').
(' 'x2).$extra_data->{$foil}.'</td>'.
"</tr>\n");
}
shift(@rows); # Throw away 'correct foil chosen' color
$table .= join('',reverse(@rows));
$table .= "</table>\n";
}
#########################################################
#########################################################
##
## Generic Interface Routines
##
#########################################################
#########################################################
sub CreateInterface {
##
## Environment variable initialization
if (! exists($env{'form.AnalyzeOver'})) {
$env{'form.AnalyzeOver'} = 'tries';
}
##
## Build the menu
my $Str = '';
$Str .= &Apache::lonhtmlcommon::breadcrumbs('Detailed Problem Analysis');
$Str .= '<p>';
$Str .= &Apache::loncommon::start_data_table();
$Str .= &Apache::loncommon::start_data_table_header_row();
$Str .= '<th>'.&mt('Sections').'</th>';
$Str .= '<th>'.&mt('Groups').'</th>';
$Str .= '<th>'.&mt('Access Status').'</th>';
$Str .= '<th>'.&mt('Options').'</th>';
$Str .= &Apache::loncommon::end_data_table_header_row();
##
##
$Str .= &Apache::loncommon::start_data_table_row();
$Str .= '<td align="center">'."\n";
$Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5);
$Str .= '</td>';
#
$Str .= '<td align="center">'."\n";
$Str .= &Apache::lonstatistics::GroupSelect('Group','multiple',5);
$Str .= '</td>';
#
$Str .= '<td align="center">';
$Str .= &Apache::lonhtmlcommon::StatusOptions(undef,undef,5);
$Str .= '</td>';
#
##
##
$Str .= '<td align="right" valign="top">';
##
my $showprob_checkbox =
'<input type="checkbox" name="show_prob" value="true" ';
if ($env{'form.show_prob'} eq 'true') {
$showprob_checkbox .= 'checked="checked" ';
}
$showprob_checkbox.= ' />';
$Str.= '<span class="LC_nobreak"><label>'.
&mt('Show problem [_1]',$showprob_checkbox).
'</label></span><br />';
##
my $analyze_selector = '<select name="AnalyzeOver" >';
$analyze_selector .= '<option value="tries" ';
if (! exists($env{'form.AnalyzeOver'}) ||
$env{'form.AnalyzeOver'} eq 'tries'){
# Default to tries
$analyze_selector .= ' selected="selected" ';
}
$analyze_selector .= '>'.&mt('Tries').'</option>';
$analyze_selector .= '<option value="time" ';
$analyze_selector .= ' selected ' if ($env{'form.AnalyzeOver'} eq 'time');
$analyze_selector .= '>'.&mt('Time').'</option>';
$analyze_selector .= '</select>';
$Str .= '<span class="LC_nobreak"><label>'.
&mt('Analyze Over [_1] [_2]',
$analyze_selector,
&Apache::loncommon::help_open_topic('Analysis_Analyze_Over')).
'</label></span><br />'.$/;
##
my $numplots_selector = '<select name="NumPlots">';
if (! exists($env{'form.NumPlots'})
|| $env{'form.NumPlots'} < 1
|| $env{'form.NumPlots'} > 20) {
$env{'form.NumPlots'} = 5;
}
foreach my $i (1,2,3,4,5,6,7,8,10,15,20) {
$numplots_selector .= '<option value="'.$i.'" ';
if ($env{'form.NumPlots'} == $i) { $numplots_selector.=' selected="selected" '; }
$numplots_selector .= '>'.$i.'</option>';
}
$numplots_selector .= '</select></span><br />';
$Str .= '<span class="LC_nobreak"><label>'.&mt('Number of Plots [_1]',$numplots_selector).
'</label></span>';
##
$Str .= '</td>';
##
##
$Str .= &Apache::loncommon::end_data_table_row();
$Str .= &Apache::loncommon::end_data_table();
$Str .= '<p class="LC_nobreak"><label>'
.&mt('Status: [_1]',
'<input type="text" name="stats_status"'
.' size="60" value="" readonly="readonly" />')
.'</label></p>';
$Str .= '</p>';
return $Str;
}
#########################################################
#########################################################
##
## Misc Option Response functions
##
#########################################################
#########################################################
sub get_time_from_row {
my ($row) = @_;
if (ref($row)) {
return $row->[&Apache::loncoursedata::RD_timestamp()];
}
return undef;
}
sub get_tries_from_row {
my ($row) = @_;
if (ref($row)) {
return $row->[&Apache::loncoursedata::RD_tries()];
}
return undef;
}
sub hashify_attempt {
my ($row) = @_;
my %attempt;
$attempt{'student'} = $row->[&Apache::loncoursedata::RD_sname()];
$attempt{'tries'} = $row->[&Apache::loncoursedata::RD_tries()];
$attempt{'submission'} = &unescape($row->[&Apache::loncoursedata::RD_submission()]);
$attempt{'award'} = $row->[&Apache::loncoursedata::RD_awarddetail()];
$attempt{'timestamp'} = $row->[&Apache::loncoursedata::RD_timestamp()];
return %attempt;
}
sub Process_OR_Row {
my ($row) = @_;
my %RowData;
# my $student_id = $row->[&Apache::loncoursedata::RD_student_id()];
my $award = $row->[&Apache::loncoursedata::RD_awarddetail()];
my $grading = $row->[&Apache::loncoursedata::RD_response_eval()];
my $submission = $row->[&Apache::loncoursedata::RD_submission()];
my $time = $row->[&Apache::loncoursedata::RD_timestamp()];
# my $tries = $row->[&Apache::loncoursedata::RD_tries()];
return undef if ($award eq 'MISSING_ANSWER');
if (&submission_is_correct($award)) {
$RowData{'_correct'} = 1;
}
$RowData{'_total'} = 1;
my @Foilgrades = split('&',$grading);
my @Foilsubs = split('&',$submission);
for (my $j=0;$j<=$#Foilgrades;$j++) {
my ($foilid,$correct) = split('=',$Foilgrades[$j]);
$foilid = &unescape($foilid);
my (undef,$submission) = split('=',$Foilsubs[$j]);
if ($correct) {
$RowData{$foilid}->{'_correct'}++;
} else {
$submission = &unescape($submission);
$RowData{$foilid}->{$submission}++;
}
$RowData{$foilid}->{'_total'}++;
}
return %RowData;
}
sub submission_is_correct {
my ($award) = @_;
if ($award =~ /(APPROX_ANS|EXACT_ANS)/) {
return 1;
} else {
return 0;
}
}
1;
__END__
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