MDL-14208 'Improvement of Item Analysis Report : Cache results of calculations, "recompute now" functionality' - using new tables to cache stats results.

This commit is contained in:
jamiesensei
2008-07-24 13:25:07 +00:00
parent 23277af8f1
commit 71a2b878fa
6 changed files with 269 additions and 126 deletions
+11 -10
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@@ -11,9 +11,9 @@ $string['quizinformation'] = 'Quiz information';
$string['quizoverallstatistics'] = 'Quiz overall statistics';
$string['quizname'] = 'Quiz name';
$string['coursename'] = 'Course name';
$string['nooffirstattempts'] = 'Number of first attempts';
$string['noofallattempts'] = 'Total number of attempts';
$string['statsfor'] = 'Statistics (for $a)';
$string['firstattemptscount'] = 'Number of first attempts';
$string['allattemptscount'] = 'Total number of attempts';
$string['statsfor'] = 'Quiz Statistics (for $a)';
$string['attempts'] = 'Attempts';
$string['firstattempts'] = 'first attempts';
$string['allattempts'] = 'all attempts';
@@ -25,13 +25,14 @@ $string['errormedian'] = 'Error fetching median';
$string['errorpowers'] = 'Error fetching data to calculate variance for quiz grades';
$string['errorpowerquestions'] = 'Error fetching data to calculate variance for question grades';
$string['errorstatisticsquestions'] = 'Error fetching data to calculate statistics for question grades';
$string['median'] = 'Median grade';
$string['standarddeviation'] = 'Standard deviation';
$string['skewness'] = 'Score distribution skewness';
$string['kurtosis'] = 'Score distribution kurtosis';
$string['cic'] = 'Coefficient of internal consistency';
$string['errorratio'] = 'Error ratio';
$string['standarderror'] = 'Standard error';
$string['median'] = 'Median grade (for $a)';
$string['standarddeviation'] = 'Standard deviation (for $a)';
$string['standarddeviationq'] = 'Standard deviation';
$string['skewness'] = 'Score distribution skewness (for $a)';
$string['kurtosis'] = 'Score distribution kurtosis (for $a)';
$string['cic'] = 'Coefficient of internal consistency (for $a)';
$string['errorratio'] = 'Error ratio (for $a)';
$string['standarderror'] = 'Standard error (for $a)';
$string['questionnumber'] = 'Q#';
$string['quizstructureanalysis'] = 'Quiz structure analysis';
$string['questiontype'] = 'Q type';
+48
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@@ -0,0 +1,48 @@
<?xml version="1.0" encoding="UTF-8" ?>
<XMLDB PATH="mod/quiz/report/statistics/db" VERSION="20080724" COMMENT="XMLDB file for Moodle mod/quiz/report/statistics"
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
xsi:noNamespaceSchemaLocation="../../../../../lib/xmldb/xmldb.xsd"
>
<TABLES>
<TABLE NAME="quiz_statistics" COMMENT="table to cache results from analysis done in statistics report for quizzes." NEXT="quiz_question_statistics">
<FIELDS>
<FIELD NAME="id" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="true" ENUM="false" NEXT="quizid"/>
<FIELD NAME="quizid" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="id" NEXT="groupid"/>
<FIELD NAME="groupid" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="quizid" NEXT="allattempts"/>
<FIELD NAME="allattempts" TYPE="int" LENGTH="4" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" COMMENT="bool used to indicate whether these stats are for all attempts or just for the first." PREVIOUS="groupid" NEXT="timemodified"/>
<FIELD NAME="timemodified" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="allattempts" NEXT="firstattemptscount"/>
<FIELD NAME="firstattemptscount" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="timemodified" NEXT="allattemptscount"/>
<FIELD NAME="allattemptscount" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="firstattemptscount" NEXT="firstattemptsavg"/>
<FIELD NAME="firstattemptsavg" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="allattemptscount" NEXT="allattemptsavg"/>
<FIELD NAME="allattemptsavg" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="firstattemptsavg" NEXT="median"/>
<FIELD NAME="median" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="allattemptsavg" NEXT="standarddeviation"/>
<FIELD NAME="standarddeviation" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="median" NEXT="skewness"/>
<FIELD NAME="skewness" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="false" SEQUENCE="false" ENUM="false" DECIMALS="10" PREVIOUS="standarddeviation" NEXT="kurtosis"/>
<FIELD NAME="kurtosis" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="false" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="skewness" NEXT="cic"/>
<FIELD NAME="cic" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="false" SEQUENCE="false" ENUM="false" DECIMALS="10" PREVIOUS="kurtosis" NEXT="errorratio"/>
<FIELD NAME="errorratio" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="10" PREVIOUS="cic" NEXT="standarderror"/>
<FIELD NAME="standarderror" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="10" PREVIOUS="errorratio"/>
</FIELDS>
<KEYS>
<KEY NAME="primary" TYPE="primary" FIELDS="id"/>
</KEYS>
</TABLE>
<TABLE NAME="quiz_question_statistics" COMMENT="Default comment for the table, please edit me" PREVIOUS="quiz_statistics">
<FIELDS>
<FIELD NAME="id" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="true" ENUM="false" NEXT="quizstatisticsid"/>
<FIELD NAME="quizstatisticsid" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="id" NEXT="questionid"/>
<FIELD NAME="questionid" TYPE="int" LENGTH="10" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="quizstatisticsid" NEXT="subquestion"/>
<FIELD NAME="subquestion" TYPE="int" LENGTH="4" NOTNULL="true" UNSIGNED="true" SEQUENCE="false" ENUM="false" PREVIOUS="questionid" NEXT="effectiveweight"/>
<FIELD NAME="effectiveweight" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="subquestion" NEXT="discriminationindex"/>
<FIELD NAME="discriminationindex" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="false" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="effectiveweight" NEXT="discriminativeefficiency"/>
<FIELD NAME="discriminativeefficiency" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="false" SEQUENCE="false" ENUM="false" DECIMALS="5" PREVIOUS="discriminationindex" NEXT="sd"/>
<FIELD NAME="sd" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="10" PREVIOUS="discriminativeefficiency" NEXT="facility"/>
<FIELD NAME="facility" TYPE="number" LENGTH="15" NOTNULL="false" UNSIGNED="true" SEQUENCE="false" ENUM="false" DECIMALS="10" PREVIOUS="sd" NEXT="subquestions"/>
<FIELD NAME="subquestions" TYPE="text" LENGTH="medium" NOTNULL="false" SEQUENCE="false" ENUM="false" PREVIOUS="facility"/>
</FIELDS>
<KEYS>
<KEY NAME="primary" TYPE="primary" FIELDS="id"/>
</KEYS>
</TABLE>
</TABLES>
</XMLDB>
+27 -8
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@@ -13,6 +13,7 @@ class qstats{
function qstats($questions, $s, $sumgradesavg){
$this->s = $s;
$this->sumgradesavg = $sumgradesavg;
foreach (array_keys($questions) as $qid){
$questions[$qid]->_stats = $this->stats_init_object();
}
@@ -27,13 +28,16 @@ class qstats{
$statsinit->othergradevariancesum = 0;
$statsinit->covariancesum = 0;
$statsinit->covariancemaxsum = 0;
$statsinit->subquestion = false;
$statsinit->subquestions = '';
$statsinit->covariancewithoverallgradesum = 0;
$statsinit->gradearray = array();
$statsinit->othergradesarray = array();
return $statsinit;
}
function get_records($fromqa, $whereqa, $usingattempts, $qaparams){
function get_records($quizid, $currentgroup, $groupstudents, $allattempts){
global $DB;
list($fromqa, $whereqa, $qaparams) = quiz_report_attempts_sql($quizid, $currentgroup, $groupstudents, $allattempts);
$sql = 'SELECT qs.id, ' .
'qs.question, ' .
'qa.sumgrades, ' .
@@ -45,7 +49,6 @@ class qstats{
$fromqa.' '.
'WHERE ' .$whereqa.
'AND qns.attemptid = qa.uniqueid '.
$usingattempts.
'AND qns.newgraded = qs.id';
$this->states = $DB->get_records_sql($sql, $qaparams);
if ($this->states === false){
@@ -103,12 +106,12 @@ class qstats{
$stats->discriminationindex = 100*$stats->covariance
/ sqrt($stats->gradevariance * $stats->othergradevariance);
} else {
$stats->discriminationindex = '';
$stats->discriminationindex = null;
}
if ($stats->covariancemax){
$stats->discriminativeefficiency = 100*$stats->covariance / $stats->covariancemax;
} else {
$stats->discriminativeefficiency = '';
$stats->discriminativeefficiency = null;
}
}
@@ -121,6 +124,7 @@ class qstats{
if (!isset($subquestionstats[$itemid])){
$subquestionstats[$itemid] = $this->stats_init_object();
$subquestionstats[$itemid]->usedin = array();
$subquestionstats[$itemid]->subquestion = true;
$subquestionstats[$itemid]->differentweights = false;
$subquestionstats[$itemid]->maxgrade = $this->questions[$state->question]->maxgrade;
} else if ($subquestionstats[$itemid]->maxgrade != $this->questions[$state->question]->maxgrade){
@@ -142,17 +146,32 @@ class qstats{
$this->subquestions = question_load_questions(array_keys($subquestionstats));
foreach (array_keys($this->subquestions) as $qid){
$this->subquestions[$qid]->_stats = $subquestionstats[$qid];
$this->subquestions[$qid]->_stats->questionid = $qid;
$this->subquestions[$qid]->maxgrade = $this->subquestions[$qid]->_stats->maxgrade;
$this->subquestions[$qid]->subquestion = true;
$this->_initial_question_walker($this->subquestions[$qid]->_stats, $this->subquestions[$qid]->_stats->maxgrade);
if ($subquestionstats[$qid]->differentweights){
notify(get_string('erroritemappearsmorethanoncewithdifferentweight', 'quiz_statistics', $this->subquestions[$qid]->name));
}
}
foreach (array_keys($this->questions) as $qid){
reset($this->questions);
do{
list($qid, $question) = each($this->questions);
$nextquestion = current($this->questions);
$this->questions[$qid]->_stats->questionid = $qid;
$this->_initial_question_walker($this->questions[$qid]->_stats, $this->questions[$qid]->maxgrade);
$this->questions[$qid]->subquestion = false;
}
if ($question->qtype == 'random'){
$randomselectorstring = $question->category.'/'.$question->questiontext;
if ($nextquestion){
$nextrandomselectorstring = $nextquestion->category.'/'.$nextquestion->questiontext;
if ($nextquestion->qtype == 'random' && $randomselectorstring == $nextrandomselectorstring){
continue;//next loop iteration
}
}
if (isset($this->randomselectors[$randomselectorstring])){
$question->_stats->subquestions = join($this->randomselectors[$randomselectorstring], ',');
}
}
} while ($nextquestion);
//go through the records one more time
foreach ($this->states as $state){
$this->_secondary_states_walker($state, $this->questions[$state->question]->_stats);
+176 -105
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@@ -6,8 +6,9 @@
* @author Martin Dougiamas, Jamie Pratt, Tim Hunt and others.
* @license http://www.gnu.org/copyleft/gpl.html GNU Public License
* @package quiz
*//** */
**/
define('QUIZ_REPORT_TIME_TO_CACHE_STATS', MINSECS * 15);
require_once($CFG->dirroot.'/mod/quiz/report/statistics/statistics_form.php');
require_once($CFG->dirroot.'/mod/quiz/report/statistics/statistics_table.php');
@@ -27,7 +28,14 @@ class quiz_statistics_report extends quiz_default_report {
$pageoptions['id'] = $cm->id;
$pageoptions['q'] = $quiz->id;
$pageoptions['mode'] = 'statistics';
$questions = quiz_report_load_questions($quiz);
// Load the question type specific information
if (!get_question_options($questions)) {
print_error('cannotloadquestion', 'question');
}
$reporturl = new moodle_url($CFG->wwwroot.'/mod/quiz/report.php', $pageoptions);
$mform = new mod_quiz_report_statistics($reporturl);
@@ -52,13 +60,10 @@ class quiz_statistics_report extends quiz_default_report {
if (!$groupstudents){
$nostudentsingroup = true;
}
} else {
$groupstudents = array();
}
$questions = quiz_report_load_questions($quiz);
// Load the question type specific information
if (!get_question_options($questions)) {
print_error('cannotloadquestion', 'question');
}
$table = new quiz_report_statistics_table();
$table->is_downloading($download, get_string('reportstatistics','quiz_statistics'),
@@ -77,7 +82,11 @@ class quiz_statistics_report extends quiz_default_report {
}
}
if (!$table->is_downloading()) {
// Print display options
$mform->set_data(array('useallattempts' => $useallattempts));
$mform->display();
}
// Print information on the number of existing attempts
if (!$table->is_downloading()) { //do not print notices when downloading
print_heading(get_string('quizinformation', 'quiz_statistics'));
@@ -100,31 +109,125 @@ class quiz_statistics_report extends quiz_default_report {
if ($quiz->timeopen && $quiz->timeclose){
$quizinformationtable->data[] = array(get_string('duration', 'quiz_statistics'), format_time($quiz->timeclose - $quiz->timeopen));
}
print_table($quizinformationtable);
}
if (!$table->is_downloading()) {
// Print display options
$mform->set_data(array('useallattempts' => $useallattempts));
$mform->display();
}
$fromqa = '{quiz_attempts} qa ';
$whereqa = 'quiz = :quizid AND preview=0 AND timefinish !=0 ';
$qaparams = array('quizid'=>$quiz->id);
if (!empty($currentgroup) && $groupstudents) {
list($grpsql, $grpparams) = $DB->get_in_or_equal(array_keys($groupstudents), SQL_PARAMS_NAMED, 'u0000');
$whereqa .= ' AND qa.userid '.$grpsql.' ';
$qaparams += $grpparams;
}
$sql = 'SELECT (CASE WHEN attempt=1 THEN 1 ELSE 0 END) AS isfirst, COUNT(1) AS countrecs, SUM(sumgrades) AS total ' .
'FROM '.$fromqa.
'WHERE ' .$whereqa.
'GROUP BY (attempt=1)';
$timemodified = time() - QUIZ_REPORT_TIME_TO_CACHE_STATS;
$params = array('quizid'=>$quiz->id, 'groupid'=>$currentgroup, 'allattempts'=>$useallattempts, 'timemodified'=>$timemodified);
if (!$quizstats = $DB->get_record_select('quiz_statistics', 'quizid = :quizid AND groupid = :groupid AND allattempts = :allattempts AND timemodified > :timemodified', $params)){
list($s, $usingattemptsstring, $quizstats, $qstats) = $this->quiz_stats($nostudentsingroup, $quiz->id, $currentgroup, $groupstudents, $questions, $useallattempts);
$toinsert = (object)((array)$quizstats + $params);
$toinsert->timemodified = time();
$quizstatisticsid = $DB->insert_record('quiz_statistics', $toinsert);
foreach ($qstats->questions as $question){
$question->_stats->quizstatisticsid = $quizstatisticsid;
$DB->insert_record('quiz_question_statistics', $question->_stats, false, true);
}
foreach ($qstats->subquestions as $subquestion){
$subquestion->_stats->quizstatisticsid = $quizstatisticsid;
$DB->insert_record('quiz_question_statistics', $subquestion->_stats, false, true);
}
if (isset($qstats)){
$questions = $qstats->questions;
$subquestions = $qstats->subquestions;
} else {
$questions = array();
$subquestions = array();
}
} else {
if ($useallattempts){
$usingattemptsstring = get_string('allattempts', 'quiz_statistics');
$s = $quizstats->allattemptscount;
} else {
$usingattemptsstring = get_string('firstattempts', 'quiz_statistics');
$s = $quizstats->firstattemptscount;
}
$questionstats = $DB->get_records('quiz_question_statistics', array('quizstatisticsid'=>$quizstats->id), 'subquestion ASC');
$questionstats = quiz_report_index_by_keys($questionstats, array('subquestion', 'questionid'));
if (1 < count($questionstats)){
list($mainquestionstats, $subquestionstats) = $questionstats;
$subqstofetch = array_keys($subquestionstats);
$subquestions = question_load_questions($subqstofetch);
foreach (array_keys($subquestions) as $subqid){
$subquestions[$subqid]->_stats = $subquestionstats[$subqid];
}
} else {
$mainquestionstats = $questionstats[0];
$subquestions = array();
}
foreach (array_keys($questions) as $qid){
$questions[$qid]->_stats = $mainquestionstats[$qid];
}
}
if (!$table->is_downloading()){
if ($s==0){
print_heading(get_string('noattempts','quiz'));
}
$format = array('firstattemptscount' => '',
'allattemptscount' => '',
'firstattemptsavg' => 'sumgrades_as_percentage',
'allattemptsavg' => 'sumgrades_as_percentage',
'median' => 'sumgrades_as_percentage',
'standarddeviation' => 'sumgrades_as_percentage',
'skewness' => '',
'kurtosis' => '',
'cic' => 'number_format',
'errorratio' => 'number_format',
'standarderror' => 'sumgrades_as_percentage');
foreach ($quizstats as $property => $value){
if (!isset($format[$property])){
continue;
}
switch ($format[$property]){
case 'sumgrades_as_percentage' :
$formattedvalue = quiz_report_scale_sumgrades_as_percentage($value, $quiz);
break;
case 'number_format' :
$formattedvalue = number_format($value, $quiz->decimalpoints).' %';
break;
default :
$formattedvalue = $value;
}
$quizinformationtable->data[] = array(get_string($property, 'quiz_statistics', $usingattemptsstring), $formattedvalue);
}
print_table($quizinformationtable);
}
if (!$table->is_downloading()){
print_heading(get_string('quizstructureanalysis', 'quiz_statistics'));
}
if ($s){
$table->setup($quiz, $cm->id, $reporturl, $s);
foreach ($questions as $question){
$table->add_data_keyed($table->format_row($question));
if (!empty($question->_stats->subquestions)){
$subitemstodisplay = explode(',', $question->_stats->subquestions);
foreach ($subitemstodisplay as $subitemid){
$subquestions[$subitemid]->maxgrade = $question->maxgrade;
$table->add_data_keyed($table->format_row($subquestions[$subitemid]));
}
}
}
$table->finish_output();
}
return true;
}
function quiz_stats($nostudentsingroup, $quizid, $currentgroup, $groupstudents, $questions, $useallattempts){
global $CFG, $DB;
if (!$nostudentsingroup){
//Calculating_MEAN_of_grades_for_all_attempts_by_students
//http://docs.moodle.org/en/Development:Quiz_item_analysis_calculations_in_practise#Calculating_MEAN_of_grades_for_all_attempts_by_students
list($fromqa, $whereqa, $qaparams) = quiz_report_attempts_sql($quizid, $currentgroup, $groupstudents);
$sql = 'SELECT (CASE WHEN attempt=1 THEN 1 ELSE 0 END) AS isfirst, COUNT(1) AS countrecs, SUM(sumgrades) AS total ' .
'FROM '.$fromqa.
'WHERE ' .$whereqa.
'GROUP BY (attempt=1)';
if (!$attempttotals = $DB->get_records_sql($sql, $qaparams)){
print_heading(get_string('noattempts','quiz'));
$s = 0;
} else {
$firstattempt = $attempttotals[1];
@@ -142,61 +245,52 @@ class quiz_statistics_report extends quiz_default_report {
$usingattempts->attempts = get_string('firstattempts', 'quiz_statistics');
$usingattempts->sql = 'AND qa.attempt=1 ';
}
$usingattempts->heading = get_string('statsfor', 'quiz_statistics', $usingattempts->attempts);
$usingattemptsstring = $usingattempts->attempts;
$s = $usingattempts->countrecs;
$sumgradesavg = $usingattempts->total / $usingattempts->countrecs;
}
} else {
$s = 0;
}
if ($s && !$table->is_downloading()) {
print_heading(get_string('quizoverallstatistics', 'quiz_statistics'));
$quizoverallstatistics = new object();
$quizoverallstatistics->align = array('center', 'center');
$quizoverallstatistics->width = '60%';
$quizoverallstatistics->class = 'generaltable titlesleft';
$quizoverallstatistics->data = array();
$quizoverallstatistics->data[] = array(get_string('nooffirstattempts', 'quiz_statistics'), $firstattempt->countrecs);
$quizoverallstatistics->data[] = array(get_string('noofallattempts', 'quiz_statistics'), $allattempts->countrecs);
$quizoverallstatistics->data[] = array(get_string('firstattemptsavg', 'quiz_statistics'), quiz_report_scale_sumgrades_as_percentage($firstattempt->total / $firstattempt->countrecs, $quiz));
$quizoverallstatistics->data[] = array(get_string('allattemptsavg', 'quiz_statistics'), quiz_report_scale_sumgrades_as_percentage($allattempts->total / $allattempts->countrecs, $quiz));
print_table($quizoverallstatistics);
$quizstats = new object();
if ($s == 0){
$quizstats->firstattemptscount = 0;
$quizstats->allattemptscount = 0;
} else {
$quizstats->firstattemptscount = $firstattempt->countrecs;
$quizstats->allattemptscount = $allattempts->countrecs;
$quizstats->firstattemptsavg = $firstattempt->total / $firstattempt->countrecs;
$quizstats->allattemptsavg = $allattempts->total / $allattempts->countrecs;
}
$quizattsstatistics = new object();
$quizattsstatistics->align = array('center', 'center');
$quizattsstatistics->width = '60%';
$quizattsstatistics->class = 'generaltable titlesleft';
$quizattsstatistics->data = array();
//recalculate sql again this time possibly including test for first attempt.
list($fromqa, $whereqa, $qaparams) = quiz_report_attempts_sql($quizid, $currentgroup, $groupstudents, $useallattempts);
//get the median
if ($s && !$table->is_downloading()) {
if ($s) {
print_heading($usingattempts->heading);
if (($s%2)==0){
//even number of attempts
$limitoffset = ($s/2) - 1;
$limit = 2;
} else {
$limitoffset = (floor($s/2)) - 1;
$limitoffset = (floor($s/2)) + 1;
$limit = 1;
}
$sql = 'SELECT id, sumgrades ' .
'FROM ' .$fromqa.
'WHERE ' .$whereqa.
$usingattempts->sql.
'ORDER BY sumgrades';
if (!$mediangrades = $DB->get_records_sql_menu($sql, $qaparams, $limitoffset, $limit)){
print_error('errormedian', 'quiz_statistics');
}
if (count($mediangrades)==1){
$median = array_shift($mediangrades);
$quizstats->median = array_shift($mediangrades);
} else {
$median = array_shift($mediangrades);
$median += array_shift($mediangrades);
$median = $median /2;
$quizstats->median = $median /2;
}
if ($s>1){
$quizattsstatistics->data[] = array(get_string('median', 'quiz_statistics'), quiz_report_scale_sumgrades_as_percentage($median, $quiz));
//fetch sum of squared, cubed and power 4d
//differences between grades and mean grade
$mean = $usingattempts->total / $s;
@@ -205,8 +299,7 @@ class quiz_statistics_report extends quiz_default_report {
"SUM(POWER((qa.sumgrades - :mean2),3)) AS power3, ".
"SUM(POWER((qa.sumgrades - :mean3),4)) AS power4 ".
'FROM ' .$fromqa.
'WHERE ' .$whereqa.
$usingattempts->sql;
'WHERE ' .$whereqa;
$params = array('mean1' => $mean, 'mean2' => $mean, 'mean3' => $mean)+$qaparams;
if (!$powers = $DB->get_record_sql($sql, $params)){
print_error('errorpowers', 'quiz_statistics');
@@ -215,8 +308,8 @@ class quiz_statistics_report extends quiz_default_report {
//Standard_Deviation
//see http://docs.moodle.org/en/Development:Quiz_item_analysis_calculations_in_practise#Standard_Deviation
$sd = sqrt($powers->power2 / ($s -1));
$quizattsstatistics->data[] = array(get_string('standarddeviation', 'quiz_statistics'), quiz_report_scale_sumgrades_as_percentage($sd, $quiz));
$quizstats->standarddeviation = sqrt($powers->power2 / ($s -1));
//Skewness_and_Kurtosis
@@ -229,73 +322,51 @@ class quiz_statistics_report extends quiz_default_report {
$k2= $s*$m2/($s-1);
$k3= $s*$s*$m3/(($s-1)*($s-2));
$skewness = $k3 / (pow($k2, 2/3));
$quizattsstatistics->data[] = array(get_string('skewness', 'quiz_statistics'), $skewness);
$quizstats->skewness = $k3 / (pow($k2, 2/3));
}
if ($s>3){
$k4= (($s*$s*$s)/(($s-1)*($s-2)*($s-3)))*((($s+1)*$m4)-(3*($s-1)*$m2*$m2));
$kurtosis = $k4 / ($k2*$k2);
$quizattsstatistics->data[] = array(get_string('kurtosis', 'quiz_statistics'), $kurtosis);
$quizstats->kurtosis = $k4 / ($k2*$k2);
}
}
}
if ($s){
require_once("$CFG->dirroot/mod/quiz/report/statistics/qstats.php");
$qstats = new qstats($questions, $s, $sumgradesavg);
$qstats->get_records($fromqa, $whereqa, $usingattempts->sql, $qaparams);
$qstats->get_records($quizid, $currentgroup, $groupstudents, $useallattempts);
set_time_limit(0);
$qstats->process_states();
} else {
$qstats = false;
}
if (!$table->is_downloading()){
if ($s>1){
$p = count($questions);//no of positions
if ($p > 1){
$cic = (100 * $p / ($p -1)) * (1 - ($qstats->sum_of_grade_variance())/$k2);
$quizattsstatistics->data[] = array(get_string('cic', 'quiz_statistics'), number_format($cic, $quiz->decimalpoints).' %');
$errorratio = 100 * sqrt(1-($cic/100));
$quizattsstatistics->data[] = array(get_string('errorratio', 'quiz_statistics'), number_format($errorratio, $quiz->decimalpoints).' %');
$standarderror = ($errorratio * $sd / 100);
$quizattsstatistics->data[] = array(get_string('standarderror', 'quiz_statistics'),
quiz_report_scale_sumgrades_as_percentage($standarderror, $quiz));
}
}
if ($quizattsstatistics->data){
print_table($quizattsstatistics);
if ($s>1){
$p = count($qstats->questions);//no of positions
if ($p > 1){
$quizstats->cic = (100 * $p / ($p -1)) * (1 - ($qstats->sum_of_grade_variance())/$k2);
$quizstats->errorratio = 100 * sqrt(1-($quizstats->cic/100));
$quizstats->standarderror = ($quizstats->errorratio * $quizstats->standarddeviation / 100);
}
}
if (!$table->is_downloading()){
print_heading(get_string('quizstructureanalysis', 'quiz_statistics'));
}
$table->setup($quiz, $cm->id, $reporturl, $s);
if (isset($qstats)){
while ($question = array_shift($qstats->questions)){
$table->add_data_keyed($table->format_row($question));
if ($question->qtype == 'random'){
$randomselectorstring = $question->category.'/'.$question->questiontext;
if ($qstats->questions){
$nextquestion = current($qstats->questions);
$nextrandomselectorstring = $nextquestion->category.'/'.$nextquestion->questiontext;
if ($nextquestion->qtype == 'random' && $randomselectorstring == $nextrandomselectorstring){
continue;//next loop iteration
}
}
if (isset($qstats->randomselectors[$randomselectorstring])){
foreach ($qstats->randomselectors[$randomselectorstring] as $itemid){
$table->add_data_keyed($table->format_row($qstats->subquestions[$itemid]));
}
}
}
}
}
$table->finish_output();
return true;
return array($s, $usingattemptsstring, $quizstats, $qstats);
}
}
function quiz_report_attempts_sql($quizid, $currentgroup, $groupstudents, $allattempts = true){
$fromqa = '{quiz_attempts} qa ';
$whereqa = 'quiz = :quizid AND preview=0 AND timefinish !=0 ';
$qaparams = array('quizid'=>$quizid);
if (!empty($currentgroup) && $groupstudents) {
list($grpsql, $grpparams) = $DB->get_in_or_equal(array_keys($groupstudents), SQL_PARAMS_NAMED, 'u0000');
$whereqa .= 'AND qa.userid '.$grpsql.' ';
$qaparams += $grpparams;
}
if (!$allattempts){
$whereqa .= 'AND qa.attempt=1 ';
}
return array($fromqa, $whereqa, $qaparams);
}
?>
@@ -43,7 +43,7 @@ class quiz_report_statistics_table extends flexible_table {
$headers[]= get_string('facility', 'quiz_statistics');
$columns[]= 'sd';
$headers[]= get_string('standarddeviation', 'quiz_statistics');
$headers[]= get_string('standarddeviationq', 'quiz_statistics');
}
$columns[]= 'random_guess_score';
$headers[]= get_string('random_guess_score', 'quiz_statistics');
@@ -108,7 +108,7 @@ class quiz_report_statistics_table extends flexible_table {
}
function col_number($question){
if (!$question->subquestion){
if (!$question->_stats->subquestion){
return $question->number;
} else {
return '';
@@ -124,7 +124,7 @@ class quiz_report_statistics_table extends flexible_table {
return quiz_report_scale_sumgrades_as_percentage($question->maxgrade, $this->quiz);
}
function col_effective_weight($question){
if (!$question->subquestion){
if (!$question->_stats->subquestion){
return number_format($question->_stats->effectiveweight, 2).' %';
} else {
return '';
+4
View File
@@ -0,0 +1,4 @@
<?php
$plugin->version = 2008072400; // The (date) version of this module
?>