NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => statsres [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/nobleprog-website/includes/functions/course-functions.php [line] => 37 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => statsres [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [3] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 160 [function] => hrquery_outline_load_all_v2 [args] => Array ( [0] => statsres ) ) [4] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 13 [function] => course_get_outline [args] => Array ( [0] => statsres ) ) [5] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [6] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [7] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [8] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => tidyverse [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => tidyverse [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => tidyverse [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => tidyverse [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => eviewsrisksim [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => eviewsrisksim [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => eviewsrisksim [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => eviewsrisksim [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => hranalytics [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => hranalytics [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => hranalytics [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => hranalytics [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => spssanal [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => spssanal [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => spssanal [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => spssanal [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => talentaq [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => talentaq [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => talentaq [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => talentaq [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => advr [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => advr [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => advr [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => advr [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => 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=> Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => algopyr [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => algopyr [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => 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/apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] 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/apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) NP URI: www.nobleprog.com.gt/en/cc/statsres Undefined property: stdClass::$excluded_sites /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php:108 Array ( [0] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => bigdatar [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => bigdatar [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => 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/apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => 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=> Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 108 [function] => myErrorHandler [args] => Array ( [0] => 2 [1] => Undefined property: stdClass::$excluded_sites [2] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [3] => 108 ) ) [1] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/common/outline.logic.php [line] => 195 [function] => hrquery_outline_load_all [args] => Array ( [0] => clustersasr [1] => hitragt [2] => Array ( [0] => en [1] => es ) ) ) [2] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 43 [function] => hrquery_outline_load_for_fe [args] => Array ( [0] => clustersasr [1] => hitragt [2] => Array ( [0] => en [1] => es ) [3] => Array ( [0] => category_overview [1] => overview ) ) ) [3] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 54 [function] => hrquery_get_outline_by_cc_langs [args] => Array ( [0] => clustersasr [1] => Array ( [0] => en [1] => es ) ) ) [4] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 63 [function] => _hrquery_get_outline_by_course_code [args] => Array ( [0] => clustersasr [1] => Array ( [0] => en [1] => es ) ) ) [5] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array 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/apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/denorm.logic.php [line] => 74 [function] => hrquery_get_outline_by_course_code [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) [1] => Array ( [0] => en [1] => es ) ) ) [6] => Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => 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Array ( [file] => /apps/hitra7/drupal7/sites/all/modules/_custom/common/hrquery/frontend/outlines.logic.php [line] => 209 [function] => hrquery_get_outlines_by_course_codes [args] => Array ( [0] => Array ( [0] => tidyverse [1] => eviewsrisksim [2] => hranalytics [3] => spssanal [4] => talentaq [5] => advr [6] => algopyr [7] => anomalypyr [8] => bigdatar [9] => bspkrintro [10] => clustersasr [11] => danagr [12] => dataar [13] => dataminr [14] => dlfinancewithr ) ) ) [7] => Array ( [file] => /apps/nobleprog-website/modules/course/course.php [line] => 25 [function] => hrquery_outline_get_related [args] => Array ( [0] => hitragt [1] => statsres ) ) [8] => Array ( [file] => /apps/nobleprog-website/core/routes.php [line] => 19 [function] => course_menu_callback [args] => Array ( [0] => /en/cc/statsres ) ) [9] => Array ( [file] => /apps/nobleprog-website/__index.php [line] => 103 [args] => Array ( [0] => /apps/nobleprog-website/core/routes.php ) [function] => require_once ) [10] => Array ( [file] => /apps/nobleprog-website/_index.php [line] => 26 [args] => Array ( [0] => /apps/nobleprog-website/__index.php ) [function] => include_once ) [11] => Array ( [file] => /apps/hitra7/index.php [line] => 58 [args] => Array ( [0] => /apps/nobleprog-website/_index.php ) [function] => include_once ) ) Statistics for Researchers Training Course

Course Outline

Scientific Method, Probability & Statistics

  • Very short history of statistics
  • Why can be "confident" about the conclusions
  • Probability and decision making

Preparation for research (deciding "what" and "how")

  • The big picture: research is a part of a process with inputs and outputs
  • Gathering data
  • Questioners and measurement
  • What to measure
  • Observational Studies
  • Design of Experiments
  • Analysis of Data and Graphical Methods
  • Research Skills and Techniques
  • Research Management

Describing Bivariate Data

  • Introduction to Bivariate Data
  • Values of the Pearson Correlation
  • Guessing Correlations Simulation
  • Properties of Pearson's r
  • Computing Pearson's r
  • Restriction of Range Demo
  • Variance Sum Law II
  • Exercises

Probability

  • Introduction
  • Basic Concepts
  • Conditional Probability Demo
  • Gamblers Fallacy Simulation
  • Birthday Demonstration
  • Binomial Distribution
  • Binomial Demonstration
  • Base Rates
  • Bayes' Theorem Demonstration
  • Monty Hall Problem Demonstration
  • Exercises

Normal Distributions

  • Introduction
  • History
  • Areas of Normal Distributions
  • Varieties of Normal Distribution Demo
  • Standard Normal
  • Normal Approximation to the Binomial
  • Normal Approximation Demo
  • Exercises

Sampling Distributions

  • Introduction
  • Basic Demo
  • Sample Size Demo
  • Central Limit Theorem Demo
  • Sampling Distribution of the Mean
  • Sampling Distribution of Difference Between Means
  • Sampling Distribution of Pearson's r
  • Sampling Distribution of a Proportion
  • Exercises

Estimation

  • Introduction
  • Degrees of Freedom
  • Characteristics of Estimators
  • Bias and Variability Simulation
  • Confidence Intervals
  • Exercises

Logic of Hypothesis Testing

  • Introduction
  • Significance Testing
  • Type I and Type II Errors
  • One- and Two-Tailed Tests
  • Interpreting Significant Results
  • Interpreting Non-Significant Results
  • Steps in Hypothesis Testing
  • Significance Testing and Confidence Intervals
  • Misconceptions
  • Exercises

Testing Means

  • Single Mean
  • t Distribution Demo
  • Difference between Two Means (Independent Groups)
  • Robustness Simulation
  • All Pairwise Comparisons Among Means
  • Specific Comparisons
  • Difference between Two Means (Correlated Pairs)
  • Correlated t Simulation
  • Specific Comparisons (Correlated Observations)
  • Pairwise Comparisons (Correlated Observations)
  • Exercises

Power

  • Introduction
  • Example Calculations
  • Factors Affecting Power
  • Exercises

Prediction

  • Introduction to Simple Linear Regression
  • Linear Fit Demo
  • Partitioning Sums of Squares
  • Standard Error of the Estimate
  • Prediction Line Demo
  • Inferential Statistics for b and r
  • Exercises

ANOVA

  • Introduction
  • ANOVA Designs
  • One-Factor ANOVA (Between-Subjects)
  • One-Way Demo
  • Multi-Factor ANOVA (Between-Subjects)
  • Unequal Sample Sizes
  • Tests Supplementing ANOVA
  • Within-Subjects ANOVA
  • Power of Within-Subjects Designs Demo
  • Exercises

Chi Square

  • Chi Square Distribution
  • One-Way Tables
  • Testing Distributions Demo
  • Contingency Tables
  • 2 x 2 Table Simulation
  • Exercises

Case Studies

Analysis of selected case studies

Requirements

Solid understanding of descriptive statistics (mean, average, standard deviation, variance) and basic understanding of probability is required.

You may want to participate in preparation course: Statistics Level 1

 35 Hours

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