/**
* Saves the mean/median of a question on a paper.
* @param int $paperID - The ID of the paper we are dealing with.
* @param array $q_medians - Array containing the statistics to be saved.
*/
public function save_median_question_marks($paperID, $q_medians)
{
$this->db->autocommit(false);
$result = $this->db->prepare("REPLACE INTO cache_median_question_marks (paperID, questionID, median, mean) VALUES (?, ?, ?, ?)");
foreach ($q_medians as $q_id => $median_array) {
$median = MathsUtils::median($median_array);
$mean = MathsUtils::mean($median_array);
$result->bind_param('iidd', $paperID, $q_id, $median, $mean);
$result->execute();
}
$result->close();
$this->db->commit();
$this->db->autocommit(true);
}
function SaveCalculation(&$question)
{
// TODO : NO template
// format the text for the question
foreach ($question->variables as $var => $vairable) {
${$var} = MathsUtils::gen_random_no(checkVariables($vairable->min), checkVariables($vairable->max), $vairable->inc, $vairable->dec);
}
eval("\$answer = " . $question->formula . ";");
$q_text = $question->leadin;
$q_text = str_ireplace("\$A", $A, $q_text);
$q_text = str_ireplace("\$B", $B, $q_text);
$q_text = str_ireplace("\$C", $C, $q_text);
$q_text = str_ireplace("\$D", $D, $q_text);
$q_text = str_ireplace("\$E", $E, $q_text);
$q_text = str_ireplace("\$F", $F, $q_text);
$q_text = str_ireplace("\$G", $G, $q_text);
$q_text = str_ireplace("\$H", $H, $q_text);
//echo $q_text."<BR>";
$question->leadin = $q_text;
$headertext = $this->MakeQuestionHeader($question);
$title = StripForTitle($question->leadin);
$ob = new OB();
$ob->ClearAndSave();
include "qti20/tmpl/calculation.php";
$this->output .= $ob->GetContent();
$ob->Restore();
}
/**
* Render the question in the format required when taking the paper
* @param array $extra [description]
*/
public function generate_variables()
{
if (!isset($this->useranswer['vars']) or !is_array($this->useranswer['vars'])) {
// Create an empty array to hold the generated variables
$this->useranswer['vars'] = array();
}
// Check to see if variables have been previously generated if not put them in an array to be generated
foreach ($this->settings['vars'] as $key => $value) {
if ((!isset($this->useranswer['vars'][$key]) or $this->useranswer['vars'][$key] === 'ERROR') and !$this->is_linked_ans($value['min'])) {
$min = $this->variable_substitution($value['min'], $this->alluseranswers);
if ($value['max'] == '') {
//value for max not set force it to min to generate a fixed value.
$value['max'] = $value['min'];
}
$max = $this->variable_substitution($value['max'], $this->alluseranswers);
// Temporary fix ROGO-1468 until we introduce proper localisation we need to be able to handle ',' decimal places.
$inc = $this->variable_substitution(str_replace(',', '.', $value['inc']), $this->alluseranswers);
$dec = (int) $value['dec'];
$this->useranswer['vars'][$key] = MathsUtils::gen_random_no($min, $max, $inc, $dec);
}
// Pull in the last userans every time
if ($this->is_linked_ans($value['min'])) {
$this->useranswer['vars'][$key] = $this->variable_substitution($value['min'], $this->alluseranswers);
}
}
// Update the session
$_SESSION['qid'][$this->id]['vars'] = $this->useranswer['vars'];
}
/**
* Save 'calculation' question type to QTI XML
* @param ST_Question_Calculation $question Reference to the question object
* @author Adam Clarke, Rob Ingram
*/
function SaveCalculation(&$question)
{
if ($question->q_type == 'enhancedcalc') {
$this->SaveEnhancedCalc($question);
return;
}
$question->formula = trim($question->formula);
if (substr($question->formula, 0, 1) == "=") {
$question->formula = substr($question->formula, 1);
}
$question->origleadin = $question->leadin;
$q_text = $question->leadin;
// format the text for the question
// replace all variables in leadin with randomly generated values
foreach ($question->variables as $var => $vairable) {
${$var} = MathsUtils::gen_random_no(checkVariables($vairable->min), checkVariables($vairable->max), $vairable->inc, $vairable->dec);
$q_text = str_ireplace("\${$var}", ${$var}, $q_text);
}
eval("\$answer = " . $question->formula . ";");
//echo $q_text."<BR>";
$question->leadin = $q_text;
list($headertext, $title) = $this->MakeQuestionHeader($question);
$type = "Calculation";
$ob = new OB();
$ob->ClearAndSave();
include "qti12/tmpl/calculation.php";
$this->output .= $ob->GetContent();
$ob->Restore();
}
$total_mark = $user_data['total'];
$recordID = $user_data['userID'];
$checked = '';
if ($prev_remark) {
if (isset($remark_array[$recordID])) {
$checked = ' checked';
}
} else {
if (round($total_mark / $paper_total * 100) < $pass_mark) {
$checked = ' checked';
}
}
if (round($total_mark / $paper_total * 100) < $pass_mark) {
echo "<tr style=\"color:#C00000\"><td class=\"pad\"><input type=\"checkbox\" class=\"check\" name=\"student{$student_no}\" value=\"{$recordID}\"{$checked} /></td><td>{$username}</td><td>{$student_id}</td><td style=\"text-align:right\">{$total_mark}</td><td class=\"pad\">" . MathsUtils::formatNumber($total_mark / $paper_total * 100, $percent_decimals) . "%</td><td> </td></tr>\n";
} else {
echo "<tr><td class=\"pad\"><input type=\"checkbox\" class=\"check\" name=\"student{$student_no}\" value=\"{$recordID}\"{$checked} /></td><td>{$username}</td><td>{$student_id}</td><td style=\"text-align:right\">{$total_mark}</td><td class=\"pad\">" . MathsUtils::formatNumber($total_mark / $paper_total * 100, $percent_decimals) . "%</td><td> </td></tr>\n";
}
}
?>
</table>
<?php
if ($student_no == 0) {
$msg = sprintf($string['noattempts'], textbox_marking_utils::nicedate($startdate), textbox_marking_utils::nicedate($enddate));
echo $notice->info_strip($msg, 100);
} else {
?>
<br />
<input type="hidden" name="student_no" value="<?php
echo $student_no;
?>
}
$size_msg = $cohort_size < $user_no ? $cohort_size . $string['of'] . $user_no : $user_no;
$csv .= $string['cohortsize'] . ",{$size_msg},,,,,,,,,,\n";
$csv .= $string['failureno'] . "," . $stats['failures'] . ",(" . round($percent_failures) . "% of cohort),,,,,,,,,\n";
$csv .= $string['passno'] . "," . $stats['passes'] . ",(" . round($percent_passes) . $string['percentofcohort'] . "),,,,,,,,,\n";
if (isset($ss_hon)) {
$csv .= $string['distinctionno'] . "," . $stats['honours'] . ",(" . round($percent_honours) . "% of cohort),,,,,,,,,\n";
}
$csv .= $string['totalmarks'] . "," . $report->get_total_marks() . ",,,,,,,,,,\n";
$csv .= $string['passmark'] . ",{$pass_mark}%,,,,,,,,,,\n";
if ($marking == '1') {
$csv .= $string['randommark'] . "," . number_format($report->get_total_random_mark(), 2, '.', ',') . ",,,,,,,,,,\n";
} elseif (substr($marking, 0, 1) == '2') {
$csv .= $string['ss'] . "," . round($report->get_ss_pass(), 2) . ",,,,,,,,,,\n";
$csv .= $string['ssdistinction'] . "," . round($report->get_ss_hon(), 2) . ",,,,,,,,,,\n";
}
$csv .= $string['meanmark'] . "," . round($stats['mean_mark'], 1) . "," . MathsUtils::formatNumber($stats['mean_percent'], 1) . "%,,,,,,,,,\n";
$csv .= $string['medianmark'] . "," . round($stats['median_mark'], 1) . "," . MathsUtils::formatNumber($stats['median_percent'], 1) . "%,,,,,,,,,\n";
$csv .= $string['stdevmark'] . "," . number_format($stats['stddev_mark'], 2, '.', ',') . "," . MathsUtils::formatNumber($stats['stddev_percent'], 2) . "%,,,,,,,,,\n";
$csv .= $string['maxmark'] . "," . $stats['max_mark'] . "," . number_format($stats['max_percent']) . "%,,,,,,,,,\n";
$csv .= $string['maxmark'] . "," . $stats['min_mark'] . "," . number_format($stats['min_percent']) . "%,,,,,,,,,\n";
$csv .= $string['range'] . "," . $stats['range'] . "," . $stats['range_percent'] . "%,,,,,,,,,\n";
$avg_time = $stats['completed_no'] > 0 ? $report->formatsec(round($stats['total_time'] / $stats['completed_no'], 0)) : 'n/a';
$csv .= $string['averagetime'] . "," . $avg_time . ",,,,,,,,,,\n";
$csv .= $string['excludedquestions'] . "," . $report->get_display_excluded() . ",,,,,,,,,,\n";
$csv .= $string['skippedquestions'] . "," . $report->get_display_experimental() . ",,,,,,,,,,\n";
} else {
$csv .= strip_tags(sprintf($string['noattempts'], $report->nicedate($startdate), $report->nicedate($enddate)));
}
echo mb_convert_encoding($csv, "UTF-16LE", "UTF-8");
$mysqli->close();
echo '<Row>';
echo '<Cell ss:StyleID="s23"><Data ss:Type="String">' . $string['maxmark'] . '</Data></Cell>';
echo '<Cell><Data ss:Type="Number">' . $stats['max_mark'] . '</Data></Cell>';
echo '</Row>';
echo '<Row>';
echo '<Cell ss:StyleID="s23"><Data ss:Type="String">' . $string['minmark'] . '</Data></Cell>';
echo '<Cell><Data ss:Type="Number">' . $stats['min_mark'] . '</Data></Cell>';
echo '</Row>';
echo '<Row>';
echo '<Cell ss:StyleID="s23"><Data ss:Type="String">' . $string['range'] . '</Data></Cell>';
echo '<Cell><Data ss:Type="Number">' . $stats['range'] . '</Data></Cell>';
echo '</Row>';
for ($i = 1; $i < 10; $i++) {
echo '<Row>';
echo '<Cell ss:StyleID="s23"><Data ss:Type="String">Decile ' . $i . '</Data></Cell>';
echo '<Cell ss:StyleID="s69"><Data ss:Type="Number">' . MathsUtils::formatNumber($stats["decile{$i}"] / 100, $percent_decimals) . '</Data></Cell>';
echo '</Row>';
}
echo '<Row>';
echo '<Cell ss:StyleID="s23"><Data ss:Type="String">' . $string['averagetime'] . '</Data></Cell>';
if ($stats['completed_no'] == 0) {
echo '<Cell><Data ss:Type="String">' . $report->formatsec(0) . '</Data></Cell>';
} else {
echo '<Cell><Data ss:Type="String">' . $report->formatsec(round($stats['total_time'] / $stats['completed_no'], 0)) . '</Data></Cell>';
}
echo '</Row>';
echo '<Row>';
echo '<Cell ss:StyleID="s23"><Data ss:Type="String">' . $string['excludedquestions'] . '</Data></Cell>';
echo '<Cell><Data ss:Type="String">' . $report->get_display_excluded() . '</Data></Cell>';
echo '</Row>';
echo '<Row>';
echo "<td></td>";
// Deciles
$suffix = array('', 'st', 'nd', 'rd', 'th', 'th', 'th', 'th', 'th', 'th');
echo "<td colspan=\"2\" style=\"width:33%; vertical-align:top\"><table border=\"0\" style=\"font-size:110%\">\n";
for ($i = 1; $i < 10; $i++) {
echo "<tr><td style=\"width:40px\">" . $i;
echo $language == 'en' ? $suffix[$i] : '.';
echo "</td><td>" . MathsUtils::formatNumber($stats["decile{$i}"], 1) . "%</td></tr>\n";
}
echo "</table></td>\n";
echo "<td></td>";
// Quartiles
echo "<td colspan=\"2\" style=\"width:33%; vertical-align:top\"><table border=\"0\" style=\"font-size:110%\">\n";
echo "<tr><td style=\"width:40px\">Q1</td><td>" . MathsUtils::formatNumber($stats['q1'], 1) . "%</td></tr>\n";
echo "<tr><td style=\"width:40px\">Q2</td><td>" . MathsUtils::formatNumber($stats['q2'], 1) . "%</td></tr>\n";
echo "<tr><td style=\"width:40px\">Q3</td><td>" . MathsUtils::formatNumber($stats['q3'], 1) . "%</td></tr>\n";
echo "</table></td>\n";
echo "</tr></table>\n<br />";
// Email Class -----------------------------------------------------------------------------------------
if ($paper_type < 2 and isset($_POST['emailclass']) and $_POST['emailclass'] == 'yes') {
// Save the latest template to disk.
$file = fopen("../email_templates/" . $userObject->get_user_ID() . ".txt", "w");
fwrite($file, $userObject->get_email() . "\n");
fwrite($file, $_POST['ccaddress'] . "\n");
fwrite($file, $_POST['bccaddress'] . "\n");
fwrite($file, $_POST['subject'] . "\n");
fwrite($file, $_POST['emailtemplate'] . "\n");
fclose($file);
for ($i = 0; $i < $user_no; $i++) {
switch ($i) {
case 25:
/**
* Creates an array of basic statistics on the cohort performance.
*/
public function generate_stats()
{
$configObject = Config::get_instance();
$percent_decimals = $configObject->get('percent_decimals');
// Generate summary statistics.
$this->set_user_no();
$mark_total = 0;
$percent_total = 0;
$this->stats['sum_of_marks'] = 0;
$this->stats['out_of_range'] = 0;
$this->stats['completed_no'] = 0;
$this->stats['failures'] = 0;
$this->stats['passes'] = 0;
$this->stats['honours'] = 0;
$this->stats['total_time'] = 0;
$this->stats['max_mark'] = 0;
$this->stats['min_mark'] = 9999;
$this->stats['max_percent'] = 0;
$this->stats['min_percent'] = 100;
$median_mark_array = array();
$median_percent_array = array();
$marks_data = array();
for ($i = 0; $i < $this->user_no; $i++) {
if (isset($this->user_results[$i]['percent']) and $this->user_results[$i]['questions'] >= $this->question_no and $this->user_results[$i]['visible']) {
$this->stats['completed_no']++;
$median_mark_array[] = round($this->user_results[$i]['mark'], $percent_decimals);
$median_percent_array[] = round($this->user_results[$i]['percent'], $percent_decimals);
$mark_total += round($this->user_results[$i]['mark'], $percent_decimals);
$percent_total += round($this->user_results[$i]['percent'], $percent_decimals);
// Round to the precision being displayed on screen.
}
if (isset($this->user_results[$i]['mark']) and $this->user_results[$i]['visible']) {
$tmp_mark = round($this->user_results[$i]['mark'], $percent_decimals);
$tmp_percent = round($this->user_results[$i]['percent'], $percent_decimals);
$marks_data[] = $tmp_percent;
if ($tmp_percent < $this->pass_mark) {
$this->stats['failures']++;
}
if ($tmp_percent < $this->stats['min_percent']) {
$this->stats['min_percent'] = $tmp_percent;
}
if ($tmp_percent > $this->stats['max_percent']) {
$this->stats['max_percent'] = $tmp_percent;
}
if ($tmp_percent >= $this->pass_mark and $tmp_percent < $this->distinction_mark) {
$this->stats['passes']++;
}
if ($tmp_percent >= $this->distinction_mark) {
$this->stats['honours']++;
}
if ($tmp_mark < $this->stats['min_mark']) {
$this->stats['min_mark'] = $tmp_mark;
}
if ($tmp_mark > $this->stats['max_mark']) {
$this->stats['max_mark'] = $tmp_mark;
}
$this->stats['sum_of_marks'] += $tmp_mark;
}
if ($this->user_results[$i]['visible']) {
$this->stats['total_time'] += $this->user_results[$i]['duration'];
} else {
$this->stats['out_of_range']++;
}
}
if ($this->stats['min_mark'] == 9999) {
$this->stats['min_mark'] = 0;
}
// Reset back to zero if still on default.
$this->stats['range'] = $this->stats['max_mark'] - $this->stats['min_mark'];
$this->stats['range_percent'] = $this->stats['max_percent'] - $this->stats['min_percent'];
// Calculate StdDev.
$xmean_total = 0;
$xmean_percent_total = 0;
for ($i = 0; $i < $this->user_no; $i++) {
if (isset($this->user_results[$i]['questions']) and $this->user_results[$i]['questions'] >= $this->question_no and $this->user_results[$i]['visible'] and $this->stats['completed_no'] > 0) {
$tmp_percent = round($this->user_results[$i]['percent'], $percent_decimals);
$xmean_total += ($this->user_results[$i]['mark'] - $mark_total / $this->stats['completed_no']) * ($this->user_results[$i]['mark'] - $mark_total / $this->stats['completed_no']);
$xmean_percent_total += ($tmp_percent - $percent_total / $this->stats['completed_no']) * ($tmp_percent - $percent_total / $this->stats['completed_no']);
}
}
if ($this->stats['completed_no'] > 1) {
$this->stats['stddev_mark'] = sqrt($xmean_total / ($this->stats['completed_no'] - 1));
$this->stats['stddev_percent'] = sqrt($xmean_percent_total / ($this->stats['completed_no'] - 1));
} else {
$this->stats['stddev_mark'] = 0;
$this->stats['stddev_percent'] = 0;
}
if ($this->stats['completed_no'] > 0) {
$this->stats['mean_mark'] = $mark_total / $this->stats['completed_no'];
$this->stats['mean_percent'] = $percent_total / $this->stats['completed_no'];
$this->stats['median_mark'] = MathsUtils::median($median_mark_array);
$this->stats['median_percent'] = MathsUtils::median($median_percent_array);
} else {
$this->stats['mean_mark'] = 0;
$this->stats['mean_percent'] = 0;
$this->stats['median_mark'] = 0;
$this->stats['median_percent'] = 0;
}
$this->stats['q1'] = MathsUtils::percentile($marks_data, 0.75);
$this->stats['q2'] = MathsUtils::percentile($marks_data, 0.5);
$this->stats['q3'] = MathsUtils::percentile($marks_data, 0.25);
for ($i = 1; $i < 10; $i++) {
$this->stats["decile{$i}"] = MathsUtils::percentile($marks_data, $i / 10);
}
}
