--- loncom/interface/statistics/lonproblemanalysis.pm 2003/10/09 22:10:02 1.28 +++ loncom/interface/statistics/lonproblemanalysis.pm 2005/02/22 22:51:16 1.114 @@ -1,6 +1,6 @@ # The LearningOnline Network with CAPA # -# $Id: lonproblemanalysis.pm,v 1.28 2003/10/09 22:10:02 matthew Exp $ +# $Id: lonproblemanalysis.pm,v 1.114 2005/02/22 22:51:16 matthew Exp $ # # Copyright Michigan State University Board of Trustees # @@ -24,7 +24,6 @@ # # http://www.lon-capa.org/ # - package Apache::lonproblemanalysis; use strict; @@ -34,246 +33,1789 @@ 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)=@_; - $r->print('

'.&mt('Option Response Problem Analysis').'

'); + # + 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(); + # $r->print(&CreateInterface()); # my @Students = @Apache::lonstatistics::Students; # - if (exists($ENV{'form.problemchoice'})) { - $r->print('
'); - &Apache::lonstatistics::Gather_Full_Student_Data($r); - # - my ($symb,$part,$resid) = &get_problem_symb( - &Apache::lonnet::unescape($ENV{'form.problemchoice'}) - ); - # -# my ($firsttime,$lasttime) = -# &Apache::loncoursedata::get_timestamp_data($symb,$resid); - # - my $resource = &get_resource_from_symb($symb); - if (defined($resource)) { - my %Data = &get_problem_data($resource->{'src'}); - my $ORdata = $Data{$part.'.'.$resid}; - ## - ## Render the problem - my $base; - ($base,undef) = ($resource->{'src'} =~ m|(.*/)[^/]*$|); - $base = "http://".$ENV{'SERVER_NAME'}.$base; - my $rendered_problem = - &Apache::lonnet::ssi_body($resource->{'src'}); - $rendered_problem =~ s/
/<\/nop>/g; - $r->print('
'. - ''. - $rendered_problem. - '
'); - ## - ## Analyze the problem - my $PerformanceData = - &Apache::loncoursedata::get_optionresponse_data - (\@Students,$symb,$resid); - if (defined($PerformanceData) && - ref($PerformanceData) eq 'ARRAY') { - if ($ENV{'form.AnalyzeBy'} eq 'Tries') { - my $analysis_html = &DoTriesAnalysis($PerformanceData, - $ORdata); - $r->print($analysis_html); -# } elsif ($ENV{'form.AnalyzeBy'} eq 'Time') { -# my $analysis_html = &DoTimeAnalysis($PerformanceData, -# $ORdata); -# $r->print($analysis_html); - } else { - $r->print('

'. - &mt('The analysis you have selected is '. - 'not supported at this time'). - '

'); - } + 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('

'. - &mt('There is no student data for this problem.'). - '

'); + $r->print(''); + $r->print(' 'x5); } + } + foreach my $html (@CacheButtonHTML) { + $r->print($html.(' 'x5)); + } + # + $r->print('
'); + $r->rflush(); + # + # Determine which problem we are to analyze + my $current_problem = &Apache::lonstathelpers::get_target_from_id + ($ENV{'form.problemchoice'}); + # + my ($prev,$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('

'.$resource->{'title'}.'

'); + $r->print('

'.$resource->{'src'}.'

'); + if ($ENV{'form.show_prob'} eq 'true') { + $r->print(&Apache::lonstathelpers::render_resource($resource)); + } + $r->rflush(); + my %Data = &Apache::lonstathelpers::get_problem_data + ($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('

Analysis of '.$current_problem->{'resptype'}.' is not supported

'); + } } $r->print('
'); } else { + $r->print(''); + $r->print(' 'x5); $r->print('

'.&mt('Please select a problem to analyze').'

'); + $r->print(&Apache::lonstathelpers::ProblemSelector + ($problem_types)); } - # Okay, they asked for data, so make sure we get the latest data. - $r->print(&OptionResponseProblemSelector()); } +######################################################### +######################################################### +## +## Numerical Response Routines +## +######################################################### +######################################################### +sub numerical_response_analysis { + my ($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::SelectedSections, + $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('

'. + &mt('There is no submission data for this resource'). + '

'); + return; + } + my $analysis_html = ''; + 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,$starttime)). + '
'. + &mt('End time: [_1]', + &Apache::lonhtmlcommon::date_setter + ('Statistics','enddate_'.$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.= + ''; + } else { + $analysis_html.= + ''. + ''. + ''.''. + ''. + ''; + } + if ($post_message ne '') { + $analysis_html .= + ''; + } + } + $analysis_html.='
'. + &mt($no_data_message,$plot_num,@extra_data). + '
'. + &mt($header_message,$plot_num,@extra_data). + '
'. + &mt($stats_message, + $stats->{'submission_count'}, + $stats->{'correct_count'}, + $stats->{'incorrect_count'}, + $stats->{'students'}, + @extra_data). + '
'. + &numerical_plot_percent($r,$responses,$stats).''. + &numerical_plot_differences($r,$responses,$stats).'
'.$post_message.'
'; + $r->print($analysis_html); + # + return; +} -sub DoTriesAnalysis { - my ($PerformanceData,$ORdata) = @_; - my $mintries = 1; - my $maxtries = 10; - my %ResponseData = &analyze_option_data_by_tries($PerformanceData, - $mintries,$maxtries); - my @Foils = sort(keys(%ResponseData)); - my %Row_Label; - foreach my $foilid (@Foils) { - my $value = $ORdata->{'Foiltext'}->{$foilid}; -# &Apache::lonnet::logthis('row label '.$foilid.' = '.$value); - $Row_Label{$foilid} = $ORdata->{'Foiltext'}->{$foilid}; +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 @Rows; - $Rows[0] = [' ']; - for (my $i=$mintries;$i<=$maxtries;$i++) { - push (@{$Rows[0]}, - ''.&mt('Attempt').' '.$i.''); - } - $Rows[1] = [''.&mt('Foil').'']; - for (my $i=$mintries;$i<=$maxtries;$i++) { - push (@{$Rows[1]},(''.&mt('Correct').'', - ''.&mt('Incorrect').'', - ''.&mt('Percent Correct').'', - )); - } - my @PlotData; - my @CumulativePlotData; - my $index = 1; - foreach my $foilid (@Foils) { - my @Data = (''.$index.' '.$Row_Label{$foilid}.''); - for (my $i=$mintries;$i<=$maxtries;$i++) { - push(@Data, - (''.$ResponseData{$foilid}->[$i]->{'correct'}.'', - ''.$ResponseData{$foilid}->[$i]->{'incorrect'}. - '', - ''. - sprintf("%4.2f", - $ResponseData{$foilid}->[$i]->{'percent_corr'}). - '')); + 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 $scaled_value = 100*($submission-$ans)/abs($ans); + 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 $low_percent = 100 * abs($abs_low / $subm{'correct'}); + my $high_percent = 100 * abs($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]++; + } + } + } + $stats{'students'}=scalar(keys(%students)); + return (\%submission_data,\%stats); +} + +sub numerical_submission_is_correct { + my ($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 $table = + ''. + ''. + ''. + ''. + ''. + ''.$/; + for (my $i=0;$i[$i]; + if ($i == 0) { $lownum = '-∞'; } + my $highnum = $bins->[$i+1]; + if ($i == scalar(@{$bins})-2) { $highnum = '∞'; } + $table .= + ''. + ''. + ''. + ''. + ''. + ''. + ''. + ''. + ''.$/; + } + $table.= '
'.&mt('Bar').''.&mt('Range').''.&mt('Incorrect').''.&mt('Correct').''.&mt('Count').'
'.$labels->[$i].''.$lownum.' - '.$highnum.''.$incorrect->[$i].''.$correct->[$i].''.$count->[$i].'
'; + 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::SelectedSections, + $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'). + '

'; + $r->print($analysis_html); + return; + } + # + $analysis_html.=''; + 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]
[_2] submissions from [_5] students, [_3] correct, [_4] incorrect'; + $extra_data[0] = &Apache::lonlocal::locallocaltime($starttime); + $extra_data[1] = &Apache::lonlocal::locallocaltime($endtime); # - # Gather the per-attempt data - push (@{$PlotData[$i]->{'good'}}, - $ResponseData{$foilid}->[$i]->{'percent_corr'}); - push (@{$PlotData[$i]->{'bad'}}, - 100-$ResponseData{$foilid}->[$i]->{'percent_corr'}); - } - for (my $i=0;$i<=$maxtries;$i++) { - push (@{$CumulativePlotData[$i]->{'good'}}, - $CumulativePlotData[-1]->{'good'}+ - $ResponseData{$foilid}->[$i]->{'correct'}); - push (@{$CumulativePlotData[$i]->{'bad'}}, - $CumulativePlotData[-1]->{'bad'}+ - $ResponseData{$foilid}->[$i]->{'incorrect'}); + $post_graph_text = + &mt('Start time: [_1]', + &Apache::lonhtmlcommon::date_setter + ('Statistics','startdate_'.$plot_num,$starttime)). + '
'. + &mt('End time: [_1]', + &Apache::lonhtmlcommon::date_setter + ('Statistics','enddate_'.$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 = $foil_choice_data->{'_correct'}; + if (! defined($correct) || $correct eq '') { + $correct = 0; + } + my $incorrect = + $analysis_html.= ''.$/; + $analysis_html.= + ''. + ''. + ''; + if ($stacked_plot ne '') { + $analysis_html .= + ''. + ''; + } else { + $analysis_html .= (''x2); + } + $analysis_html.=''.$/; + if (defined($post_graph_text)) { + $analysis_html.= ''.$/; + } + } elsif ($no_data_text ne '') { + $analysis_html.=''.$/; + } + } # end of loop for plots + $analysis_html.='
'. + ''. + &mt($pre_graph_text, + $plot_num,$foil_choice_data->{'_count'}, + $correct, + $foil_choice_data->{'_count'}-$correct, + $foil_choice_data->{'_students'}, + @extra_data). + '
'.$concept_plot.''.$choice_plot.''.$stacked_plot.''.&build_foil_key($foils,$count_by_foil).'
'. + $post_graph_text.'
'. + &mt($no_data_text, + $plot_num,$foil_choice_data->{'_count'}, + $correct, + $foil_choice_data->{'_count'}-$correct, + @extra_data); + if (defined($post_graph_text)) { + $analysis_html.='
'.$post_graph_text; + } + $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; } - push(@Rows,\@Data); - } continue { - $index++; } - my @Data = (''); - for (my $i=$mintries;$i<=$maxtries;$i++) { - my $minstu = $ResponseData{$Foils[0]}->[$i]->{'total'}; - my $maxstu = $ResponseData{$Foils[0]}->[$i]->{'total'}; - foreach my $foilid (@Foils) { - if ($minstu > $ResponseData{$foilid}->[$i]->{'total'}) { - $minstu = $ResponseData{$foilid}->[$i]->{'total'}; - } - if ($maxstu < $ResponseData{$foilid}->[$i]->{'total'}) { - $maxstu = $ResponseData{$foilid}->[$i]->{'total'}; - } - } - $maxstu = 0 if (! $maxstu); - $minstu = 0 if (! $minstu); - my $graphlink; - if ($maxstu == $minstu) { - $graphlink = &Apache::loncommon::DrawGraph - ('Attempt '.$i.', '.$maxstu.' students', - 'Foil Number', - 'Percent Correct', - 100, - $PlotData[$i]->{'good'}, - $PlotData[$i]->{'bad'}); - } else { - $graphlink = &Apache::loncomon::DrawGraph - ('Attempt '.$i.', '.$minstu.'-'.$maxstu. - ' students', - 'Foil Number', - 'Percent Correct', - 100, - $PlotData[$i]->{'good'}, - $PlotData[$i]->{'bad'}); + 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}->{$choice}; + } + } } - push(@Data,''.$graphlink.''); } - push (@Rows,\@Data); - my $table = ''."\n"; - for (my $i=0; $i <=$#Rows;$i++) { - $table .= ''.join('',@{$Rows[$i]})."\n"; + # + # 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'}}; } - $table .= '
'; - return ($table); + 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 $plot; } -sub analyze_option_data_by_tries { - my ($PerformanceData,$mintries,$maxtries) = @_; +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::SelectedSections, + $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.'). + '

'); + } 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('

'. + &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.= ''; + } else { + $analysis_html.= ''; + } + 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]; + 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}); + $analysis_html.= + ''.$/. + ''. + ''. + ''. + ''. + ''.$/; + } + $analysis_html .= "
'. + &mt('None of the selected students attempted the problem more than [_1] times.',$try-1). + '
'. + &mt('None of the selected students have attempted the problem').'
'. + ''. + &mt('Attempt [_1], [_2] submissions, [_3] correct, [_4] incorrect', + $try,$data_count,$correct,$data_count-$correct). + ''.'
'.$concept_graph.''.$correct_graph.''.$incorrect_graph.''.$optionkey.''. + '
\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($row)); - my ($grading,$submission,$time,$tries) = @$row; - my @Foilgrades = split('&',$grading); - my @Foilsubs = split('&',$submission); - for (my $numtries = 1; $numtries <= $maxtries; $numtries++) { - if ($tries == $numtries) { - foreach my $foilgrade (@Foilgrades) { - my ($foilid,$correct) = split('=',$foilgrade); - if ($correct) { - $Trydata{$foilid}->[$numtries]->{'correct'}++; - } else { - $Trydata{$foilid}->[$numtries]->{'incorrect'}++; - } + 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 = '

'. + &mt('Not enough data for concept analysis. '. + 'Performing Foil Analysis'). + '

'.$table; + } + # + my $num_plots = $ENV{'form.NumPlots'}; + my $num_data = scalar(@$performance_data)-1; + # + my $current_index; + $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]); + } + } + $table .= ''.$/; + 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); + ## + $table .= ''.$/; + 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); + $table .= ''. + ''. + ''. + ''. + ''.$/; + $table .= ''.$/; + $table.= ''.$/; + } + $table .= '
'. + &mt('Data from [_1] to [_2]', + &Apache::lonlocal::locallocaltime($starttime), + &Apache::lonlocal::locallocaltime($endtime)). + '
'. + &mt('[_1] submissions from [_2] students, [_3] correct, [_4] incorrect', + $data_count,$student_count,$correct,$data_count-$correct). + '
'.$concept_correct_plot.''.$foil_correct_plot.''.$foil_incorrect_plot.''.$foilkey.'
'. + &mt('Start time: [_1]',$startdateform).'
'. + &mt('End time: [_1]',$enddateform).'
 
'; + # + 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); + } } - foreach my $foilid (keys(%Trydata)) { - foreach my $tryhash (@{$Trydata{$foilid}}) { - next if ((! exists($tryhash->{'correct'}) && - ! exists($tryhash->{'incorrect'})) || - ($tryhash->{'correct'} < 1 && - $tryhash->{'incorrect'} < 1)); - $tryhash->{'total'} = $tryhash->{'correct'} + - $tryhash->{'incorrect'}; - $tryhash->{'percent_corr'} = 100 * - ($tryhash->{'correct'} / - ($tryhash->{'correct'} + $tryhash->{'incorrect'}) - ); + # + # 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); } } - return %Trydata; + # + # 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 get_problem_symb { - my $problemstring = shift(); - my ($symb,$partid,$resid) = ($problemstring=~ /^(.*):([^:]*):([^:]*)$/); - return ($symb,$partid,$resid); +sub build_foil_index { + my ($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 .= ''. + ''. + ''. + ''. + ''. + ''. + ''. + "\n"; + } else { + $table .= ''. + ''. + ''. + ''. + ''. + "\n"; + } + my $conceptindex = 1; + my $foilindex = 1; + foreach my $concept (@Concepts) { + my @FoilsInConcept = @{$concept->{'foils'}}; + my $firstfoil = shift(@FoilsInConcept); + if (@Concepts > 1) { + $table .= ''. + ''. + ''. + ''. + ''. + ''. + ''. + "\n"; + } else { + $table .= ''. + ''. + ''. + ''. + ''. + "\n"; + } + foreach my $foilid (@FoilsInConcept) { + if (@Concepts > 1) { + $table .= ''. + ''. + ''. + ''. + ''. + ''. + ''. + "\n"; + } else { + $table .= ''. + ''. + ''. + ''. + ''. + "\n"; + } + } continue { + $foilindex++; + } + } continue { + $conceptindex++; + } + $table .= "
'.&mt('Concept Number').''.&mt('Concept').''.&mt('Foil Number').''.&mt('Foil Name').''.&mt('Foil Text').''.&mt('Correct Value').'
'.&mt('Foil Number').''.&mt('Foil Name').''.&mt('Foil Text').''.&mt('Correct Value').'
'.$conceptindex.''.&HTML::Entities::encode($concept->{'name'},'<>&"').''.$foilindex++.''.&HTML::Entities::encode($Foildata{$firstfoil}->{'name'},'<>&"').''.$Foildata{$firstfoil}->{'text'}.''.&HTML::Entities::encode($Foildata{$firstfoil}->{'value'},'<>&"').'
'.$foilindex++.''.&HTML::Entities::encode($Foildata{$firstfoil}->{'name'},'<>&"').''.$Foildata{$firstfoil}->{'text'}.''.&HTML::Entities::encode($Foildata{$firstfoil}->{'value'},'<>&"').'
'.$foilindex.''.&HTML::Entities::encode($Foildata{$foilid}->{'name'},'<>&"').''.$Foildata{$foilid}->{'text'}.''.&HTML::Entities::encode($Foildata{$foilid}->{'value'},'<>&"').'
'.$foilindex.''.&HTML::Entities::encode($Foildata{$foilid}->{'name'},'<>&"').''.$Foildata{$foilid}->{'text'}.''.&HTML::Entities::encode($Foildata{$foilid}->{'value'},'<>&"').'
\n"; + # + # Build option index with color stuff + return ($table,\@Foils,\@Concepts); } +sub build_option_index { + my ($ORdata)= @_; + my $table = "\n"; + my $optionindex = 0; + my @Rows; + foreach my $option (&mt('correct option chosen'),@{$ORdata->{'_Options'}}) { + my $color = $plotcolors->[$optionindex++]; + push (@Rows, + ''. + ''. + ''. + "\n"); + } + shift(@Rows); # Throw away 'correct option chosen' color + $table .= join('',reverse(@Rows)); + $table .= "
'. + ''.('*'x3).''.''.&HTML::Entities::encode($option,'<>&"').'
\n"; +} + +sub build_foil_key { + my ($foils,$extra_data)= @_; + if (! defined($extra_data)) { $extra_data = {}; } + my $table = "\n"; + my $foil_index = 0; + my @rows; + foreach my $foil (&mt('correct foil chosen'),@{$foils}) { + my $color = $plotcolors->[$foil_index++]; + push (@rows, + ''. + ''. + ''. + "\n"); + } + shift(@rows); # Throw away 'correct foil chosen' color + $table .= join('',reverse(@rows)); + $table .= "
'. + ''.('*'x4).''.&HTML::Entities::encode($foil,'<>&"'). + (' 'x2).$extra_data->{$foil}.'
\n"; +} + +######################################################### +######################################################### +## +## Generic Interface Routines +## +######################################################### +######################################################### sub CreateInterface { ## ## Environment variable initialization - if (! exists$ENV{'form.AnalyzeBy'}) { - $ENV{'form.AnalyzeBy'} = 'Tries'; + if (! exists$ENV{'form.AnalyzeOver'}) { + $ENV{'form.AnalyzeOver'} = 'tries'; } ## ## Build the menu my $Str = ''; + $Str .= &Apache::lonhtmlcommon::breadcrumbs + (undef,'Detailed Problem Analysis'); $Str .= ''."\n"; $Str .= ''; $Str .= ''; $Str .= ''; - $Str .= ''; - $Str .= ''; +# $Str .= ''; + $Str .= ''; $Str .= ''."\n"; - # + ## + ## $Str .= ''; @@ -282,7 +1824,7 @@ sub CreateInterface { $Str .= &Apache::lonhtmlcommon::StatusOptions(undef,undef,5); $Str .= ''; # - $Str .= ''; - # + ## + ## $Str .= ''; - # + ## + ## $Str .= ''."\n"; $Str .= '
'.&mt('Sections').''.&mt('Enrollment Status').''.&mt('Sequences and Folders').''.&mt('Analyze By').''.&mt('Sequences and Folders').' 
'."\n"; $Str .= &Apache::lonstatistics::SectionSelect('Section','multiple',5); $Str .= ''; +# $Str .= ''; my $only_seq_with_assessments = sub { my $s=shift; if ($s->{'num_assess'} < 1) { @@ -291,158 +1833,140 @@ sub CreateInterface { return 1; } }; - $Str .= &Apache::lonstatistics::MapSelect('Maps','multiple,all',5, + &Apache::lonstatistics::MapSelect('Maps','multiple,all',5, $only_seq_with_assessments); - $Str .= ''; - $Str .=''; - $Str .='
'; + ## + my $analyze_selector = ''; + $Str .= '
'.$/; + ## + my $numplots_selector = '
'; + $Str .= ''; + ## + $Str .= ''; $Str .= '
'."\n"; - $Str .= ''; - $Str .= ' 'x5; - $Str .= ''; - $Str .= ' 'x5; - return ($Str); -} - -sub OptionResponseProblemSelector { - my $Str; - $Str = "\n\n"; - foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) { - next if ($seq->{'num_assess'}<1); - my $seq_str = ''; - foreach my $res (@{$seq->{'contents'}}) { -# &Apache::lonnet::logthis('checking '.$res->{'title'}); - next if ($res->{'type'} ne 'assessment'); - foreach my $part (@{$res->{'parts'}}) { - my $partdata = $res->{'partdata'}->{$part}; - if (! exists($partdata->{'option'}) || - $partdata->{'option'} == 0) { - next; - } - for (my $i=0;$i{'ResponseTypes'}});$i++){ - my $respid = $partdata->{'ResponseIds'}->[$i]; - my $resptype = $partdata->{'ResponseTypes'}->[$i]; - if ($resptype eq 'option') { - my $value = &Apache::lonnet::escape($res->{'symb'}.':'.$part.':'.$respid); - my $checked = ''; - if ($ENV{'form.problemchoice'} eq $value) { - $checked = 'checked '; - } - $seq_str .= '\n"; - } - } - } - } - if ($seq_str ne '') { - $Str .= ''. - "\n".$seq_str; - } - } - $Str .= "
'. - ''. - ''. - ''.$res->{'title'}.' '; - if ($partdata->{'option'} > 1) { - $seq_str .= &mt('response').' '.$respid; - } - $seq_str .= "
 '.$seq->{'title'}.'
\n"; return $Str; } -sub get_resource_from_symb { - my ($symb) = @_; - foreach my $seq (&Apache::lonstatistics::Sequences_with_Assess()) { - foreach my $res (@{$seq->{'contents'}}) { - if ($res->{'symb'} eq $symb) { - return $res; - } - } +######################################################### +######################################################### +## +## Misc Option Response functions +## +######################################################### +######################################################### +sub get_time_from_row { + my ($row) = @_; + if (ref($row)) { + return $row->[&Apache::loncoursedata::RD_timestamp()]; + } + return undef; +} + +sub get_tries_from_row { + my ($row) = @_; + if (ref($row)) { + return $row->[&Apache::loncoursedata::RD_tries()]; } return undef; } -sub get_problem_data { - my ($url) = @_; -# my $Answ=&Apache::lonnet::ssi($URI,('grade_target' => 'analyze', -# 'grade_username' => $sname, -# 'grade_domain' => $sdom, -# 'grade_courseid' => $cid, -# 'grade_symb' => $symb)); - my $Answ=&Apache::lonnet::ssi($url,('grade_target' => 'analyze')); - (my $garbage,$Answ)=split(/_HASH_REF__/,$Answ,2); - my %Answer; - %Answer=&Apache::lonnet::str2hash($Answ); -# &Apache::lonnet::logthis('keys of %Answer = '.join(', ',(keys(%Answer)))); -# &Apache::lonnet::logthis('$Answer{parts} = '. -# join(', ',@{$Answer{'parts'}})); - my %Partdata; - foreach my $part (@{$Answer{'parts'}}) { - while (my($key,$value) = each(%Answer)) { - next if ($key !~ /^$part/); - $key =~ s/^$part\.//; - if (ref($value) eq 'ARRAY') { - if ($key eq 'options') { - $Partdata{$part}->{'Options'}=$value; - } elsif ($key eq 'concepts') { - $Partdata{$part}->{'Concepts'}=$value; - } elsif ($key =~ /^concept\.(.*)$/) { - my $concept = $1; - foreach my $foil (@$value) { - $Partdata{$part}->{$foil}->{'Concept'}=$concept; - } - } - # &Apache::lonnet::logthis($part.' '.$key.' (array) = '. - # join(', ',@$value)); - } else { - $value =~ s/^\s*//g; - $value =~ s/\s*$//g; - if ($key=~ /^foil\.text\.(.*)$/) { - my $foil = $1; - $Partdata{$part}->{'Foiltext'}->{$foil}=$value; - } elsif ($key =~ /^foil\.value\.(.*)$/) { - my $foil = $1; - $Partdata{$part}->{'FoilValues'}->{$foil}=$value; - } -# &Apache::lonnet::logthis($part.' '.$key.' = '.$value); - } +sub hashify_attempt { + my ($row) = @_; + my %attempt; + $attempt{'student'} = $row->[&Apache::loncoursedata::RD_sname()]; + $attempt{'tries'} = $row->[&Apache::loncoursedata::RD_tries()]; + $attempt{'submission'} = &Apache::lonnet::unescape($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]); + $foilid = &Apache::lonnet::unescape($foilid); + my (undef,$submission) = split('=',$Foilsubs[$j]); + if ($correct) { + $RowData{$foilid}->{'_correct'}++; + } else { + $submission = &Apache::lonnet::unescape($submission); + $RowData{$foilid}->{$submission}++; } + $RowData{$foilid}->{'_total'}++; } + return %RowData; +} -# my $parts=''; -# foreach my $elm (@{$Answer{"parts"}}) { -# $parts.="$elm,"; -# } -# chop($parts); -# my $conc=''; -# foreach my $elm (@{$Answer{"$parts.concepts"}}) { -# $conc.="$elm@"; -# } -# chop($conc); -# -# @Concepts=split(/\@/,$conc); -# foreach my $concept (@{$Answer{"$parts.concepts"}}) { -# foreach my $foil (@{$Answer{"$parts.concept.$concept"}}) { -# $foil_to_concept{$foil} = $concept; -# #$ConceptData{$foil} = $Answer{"$parts.foil.value.$foil"}; -# } -# } -# return $symb; - return %Partdata; +sub submission_is_correct { + my ($award) = @_; + if ($award =~ /(APPROX_ANS|EXACT_ANS)/) { + return 1; + } else { + return 0; + } } 1;