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See Release Notes
Long Term Support Release

  • Bug fixes for general core bugs in 4.1.x will end 13 November 2023 (12 months).
  • Bug fixes for security issues in 4.1.x will end 10 November 2025 (36 months).
  • PHP version: minimum PHP 7.4.0 Note: minimum PHP version has increased since Moodle 4.0. PHP 8.0.x is supported too.

Differences Between: [Versions 401 and 403]

   1  <?php
   2  // This file is part of Moodle - http://moodle.org/
   3  //
   4  // Moodle is free software: you can redistribute it and/or modify
   5  // it under the terms of the GNU General Public License as published by
   6  // the Free Software Foundation, either version 3 of the License, or
   7  // (at your option) any later version.
   8  //
   9  // Moodle is distributed in the hope that it will be useful,
  10  // but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  12  // GNU General Public License for more details.
  13  //
  14  // You should have received a copy of the GNU General Public License
  15  // along with Moodle.  If not, see <http://www.gnu.org/licenses/>.
  16  
  17  namespace qbank_statistics;
  18  
  19  use core_question\statistics\questions\all_calculated_for_qubaid_condition;
  20  use core_component;
  21  
  22  /**
  23   * Helper for statistics
  24   *
  25   * @package    qbank_statistics
  26   * @copyright  2021 Catalyst IT Australia Pty Ltd
  27   * @author     Nathan Nguyen <nathannguyen@catalyst-au.net>
  28   * @license    http://www.gnu.org/copyleft/gpl.html GNU GPL v3 or later
  29   */
  30  class helper {
  31  
  32      /**
  33       * @var float Threshold to determine 'Needs checking?'
  34       */
  35      private const NEED_FOR_REVISION_LOWER_THRESHOLD = 30;
  36  
  37      /**
  38       * @var float Threshold to determine 'Needs checking?'
  39       */
  40      private const NEED_FOR_REVISION_UPPER_THRESHOLD = 50;
  41  
  42      /**
  43       * For a list of questions find all the places, defined by (component, contextid) where there are attempts.
  44       *
  45       * @param int[] $questionids array of question ids that we are interested in.
  46       * @return \stdClass[] list of objects with fields ->component and ->contextid.
  47       */
  48      private static function get_all_places_where_questions_were_attempted(array $questionids): array {
  49          global $DB;
  50  
  51          [$questionidcondition, $params] = $DB->get_in_or_equal($questionids);
  52          // The MIN(qu.id) is just to ensure that the rows have a unique key.
  53          $places = $DB->get_records_sql("
  54                  SELECT MIN(qu.id) AS somethingunique, qu.component, qu.contextid, " .
  55                         \context_helper::get_preload_record_columns_sql('ctx') . "
  56                    FROM {question_usages} qu
  57                    JOIN {question_attempts} qa ON qa.questionusageid = qu.id
  58                    JOIN {context} ctx ON ctx.id = qu.contextid
  59                   WHERE qa.questionid $questionidcondition
  60                GROUP BY qu.component, qu.contextid, " .
  61                         implode(', ', array_keys(\context_helper::get_preload_record_columns('ctx'))) . "
  62                ORDER BY qu.contextid ASC
  63                  ", $params);
  64  
  65          // Strip out the unwanted ids.
  66          $places = array_values($places);
  67          foreach ($places as $place) {
  68              unset($place->somethingunique);
  69              \context_helper::preload_from_record($place);
  70          }
  71  
  72          return $places;
  73      }
  74  
  75      /**
  76       * Load the question statistics for all the attempts belonging to a particular component in a particular context.
  77       *
  78       * @param string $component frankenstyle component name, e.g. 'mod_quiz'.
  79       * @param \context $context the context to load the statistics for.
  80       * @return all_calculated_for_qubaid_condition|null question statistics.
  81       */
  82      private static function load_statistics_for_place(string $component, \context $context): ?all_calculated_for_qubaid_condition {
  83          // This check is basically if (component_exists).
  84          if (empty(core_component::get_component_directory($component))) {
  85              return null;
  86          }
  87  
  88          if (!component_callback_exists($component, 'calculate_question_stats')) {
  89              return null;
  90          }
  91  
  92          return component_callback($component, 'calculate_question_stats', [$context]);
  93      }
  94  
  95      /**
  96       * Extract the value for one question and one type of statistic from a set of statistics.
  97       *
  98       * @param all_calculated_for_qubaid_condition $statistics the batch of statistics.
  99       * @param int $questionid a question id.
 100       * @param string $item ane of the field names in all_calculated_for_qubaid_condition, e.g. 'facility'.
 101       * @return float|null the required value.
 102       */
 103      private static function extract_item_value(all_calculated_for_qubaid_condition $statistics,
 104              int $questionid, string $item): ?float {
 105  
 106          // Look in main questions.
 107          foreach ($statistics->questionstats as $stats) {
 108              if ($stats->questionid == $questionid && isset($stats->$item)) {
 109                  return $stats->$item;
 110              }
 111          }
 112  
 113          // If not found, look in sub questions.
 114          foreach ($statistics->subquestionstats as $stats) {
 115              if ($stats->questionid == $questionid && isset($stats->$item)) {
 116                  return $stats->$item;
 117              }
 118          }
 119  
 120          return null;
 121      }
 122  
 123      /**
 124       * Calculate average for a stats item on a list of questions.
 125       *
 126       * @param int[] $questionids list of ids of the questions we are interested in.
 127       * @param string $item ane of the field names in all_calculated_for_qubaid_condition, e.g. 'facility'.
 128       * @return array array keys are question ids and the corresponding values are the average values.
 129       *      Only questions for which there are data are included.
 130       */
 131      private static function calculate_average_question_stats_item(array $questionids, string $item): array {
 132          $places = self::get_all_places_where_questions_were_attempted($questionids);
 133  
 134          $counts = [];
 135          $sums = [];
 136  
 137          foreach ($places as $place) {
 138              $statistics = self::load_statistics_for_place($place->component,
 139                      \context::instance_by_id($place->contextid));
 140              if ($statistics === null) {
 141                  continue;
 142              }
 143  
 144              foreach ($questionids as $questionid) {
 145                  $value = self::extract_item_value($statistics, $questionid, $item);
 146                  if ($value === null) {
 147                      continue;
 148                  }
 149  
 150                  $counts[$questionid] = ($counts[$questionid] ?? 0) + 1;
 151                  $sums[$questionid] = ($sums[$questionid] ?? 0) + $value;
 152              }
 153          }
 154  
 155          // Return null if there is no quizzes.
 156          $averages = [];
 157          foreach ($sums as $questionid => $sum) {
 158              $averages[$questionid] = $sum / $counts[$questionid];
 159          }
 160          return $averages;
 161      }
 162  
 163      /**
 164       * Calculate average facility index
 165       *
 166       * @param int $questionid
 167       * @return float|null
 168       */
 169      public static function calculate_average_question_facility(int $questionid): ?float {
 170          $averages = self::calculate_average_question_stats_item([$questionid], 'facility');
 171          return $averages[$questionid] ?? null;
 172      }
 173  
 174      /**
 175       * Calculate average discriminative efficiency
 176       *
 177       * @param int $questionid question id
 178       * @return float|null
 179       */
 180      public static function calculate_average_question_discriminative_efficiency(int $questionid): ?float {
 181          $averages = self::calculate_average_question_stats_item([$questionid], 'discriminativeefficiency');
 182          return $averages[$questionid] ?? null;
 183      }
 184  
 185      /**
 186       * Calculate average discriminative efficiency
 187       *
 188       * @param int $questionid question id
 189       * @return float|null
 190       */
 191      public static function calculate_average_question_discrimination_index(int $questionid): ?float {
 192          $averages = self::calculate_average_question_stats_item([$questionid], 'discriminationindex');
 193          return $averages[$questionid] ?? null;
 194      }
 195  
 196      /**
 197       * Format a number to a localised percentage with specified decimal points.
 198       *
 199       * @param float|null $number The number being formatted
 200       * @param bool $fraction An indicator for whether the number is a fraction or is already multiplied by 100
 201       * @param int $decimals Sets the number of decimal points
 202       * @return string
 203       * @throws \coding_exception
 204       */
 205      public static function format_percentage(?float $number, bool $fraction = true, int $decimals = 2): string {
 206          if (is_null($number)) {
 207              return get_string('na', 'qbank_statistics');
 208          }
 209          $coefficient = $fraction ? 100 : 1;
 210          return get_string('percents', 'moodle', format_float($number * $coefficient, $decimals));
 211      }
 212  
 213      /**
 214       * Format discrimination index (Needs checking?).
 215       *
 216       * @param float|null $value stats value
 217       * @return array
 218       */
 219      public static function format_discrimination_index(?float $value): array {
 220          if (is_null($value)) {
 221              $content = get_string('emptyvalue', 'qbank_statistics');
 222              $classes = '';
 223          } else if ($value < self::NEED_FOR_REVISION_LOWER_THRESHOLD) {
 224              $content = get_string('verylikely', 'qbank_statistics');
 225              $classes = 'alert-danger';
 226          } else if ($value < self::NEED_FOR_REVISION_UPPER_THRESHOLD) {
 227              $content = get_string('likely', 'qbank_statistics');
 228              $classes = 'alert-warning';
 229          } else {
 230              $content = get_string('unlikely', 'qbank_statistics');
 231              $classes = 'alert-success';
 232          }
 233          return [$content, $classes];
 234      }
 235  }