{"id":644,"date":"2019-07-12T12:28:05","date_gmt":"2019-07-12T11:28:05","guid":{"rendered":"http:\/\/35.193.178.118\/?page_id=644"},"modified":"2019-07-29T16:10:43","modified_gmt":"2019-07-29T15:10:43","slug":"measurement-function-pt3","status":"publish","type":"page","link":"https:\/\/research.reading.ac.uk\/fiduceo\/archive\/tutorials\/measurement-function-pt1\/measurement-function-pt3\/","title":{"rendered":"Measurement function"},"content":{"rendered":"\r\n<h2 class=\"wp-block-heading\">Introducing the uncertainty analysis tree<\/h2>\r\n\r\n\r\n\r\n<p>As we\u2019ve seen, in most cases the measurand ( <span class=\"katex-eq\" data-katex-display=\"false\"> Y <\/span> ) is not measured directly, but is instead obtained from a number of input quantities <span class=\"katex-eq\" data-katex-display=\"false\">X_n <\/span> via a mathematical relationship that we call the measurement function.<\/p>\r\n\r\n\r\n\r\n<p>Importantly, whereas some of these input quantities are directly determined by measurement, parameterisation or data analysis, others are determined through their own measurement function of other input quantities. In other words, there can be a hierarchical aspect to uncertainty analysis.<\/p>\r\n\r\n\r\n\r\n<p>To help organise a measurement-function centred analysis of uncertainty, it can be useful to prepare a graphical representation in the form of an uncertainty analysis tree, an example of which is shown below. On the next page, we\u2019ll examine this diagram in more detail.<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-645\" src=\"https:\/\/research.reading.ac.uk\/fiduceo\/wp-content\/uploads\/sites\/129\/2019\/07\/tutorial-1-pt3-fig1-1-1024x388.png\" alt=\"\" width=\"876\" height=\"332\" \/><\/figure>\r\n","protected":false},"excerpt":{"rendered":"<p>Introducing the uncertainty analysis tree As we\u2019ve seen, in most cases the measurand ( ) is not measured directly, but is instead obtained from a number of input quantities via&#8230;<a class=\"read-more\" href=\"&#104;&#116;&#116;&#112;&#115;&#58;&#47;&#47;&#114;&#101;&#115;&#101;&#97;&#114;&#99;&#104;&#46;&#114;&#101;&#97;&#100;&#105;&#110;&#103;&#46;&#97;&#99;&#46;&#117;&#107;&#47;&#102;&#105;&#100;&#117;&#99;&#101;&#111;&#47;&#97;&#114;&#99;&#104;&#105;&#118;&#101;&#47;&#116;&#117;&#116;&#111;&#114;&#105;&#97;&#108;&#115;&#47;&#109;&#101;&#97;&#115;&#117;&#114;&#101;&#109;&#101;&#110;&#116;&#45;&#102;&#117;&#110;&#99;&#116;&#105;&#111;&#110;&#45;&#112;&#116;&#49;&#47;&#109;&#101;&#97;&#115;&#117;&#114;&#101;&#109;&#101;&#110;&#116;&#45;&#102;&#117;&#110;&#99;&#116;&#105;&#111;&#110;&#45;&#112;&#116;&#51;&#47;\">Read More ><\/a><\/p>\n","protected":false},"author":219,"featured_media":0,"parent":628,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"__cvm_playback_settings":[],"__cvm_video_id":"","footnotes":""},"coauthors":[6],"class_list":["post-644","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Measurement function - Fiduceo<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/research.reading.ac.uk\/fiduceo\/archive\/tutorials\/measurement-function-pt1\/measurement-function-pt3\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Measurement function - Fiduceo\" \/>\n<meta property=\"og:description\" content=\"Introducing the uncertainty analysis tree As we\u2019ve seen, in most cases the measurand ( ) is not measured directly, but is instead obtained from a number of input quantities via...Read More &gt;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/research.reading.ac.uk\/fiduceo\/archive\/tutorials\/measurement-function-pt1\/measurement-function-pt3\/\" \/>\n<meta property=\"og:site_name\" content=\"Fiduceo\" \/>\n<meta property=\"article:modified_time\" content=\"2019-07-29T15:10:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/research.reading.ac.uk\/fiduceo\/wp-content\/uploads\/sites\/129\/2019\/07\/tutorial-1-pt3-fig1-1-1024x388.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/research.reading.ac.uk\/fiduceo\/archive\/tutorials\/measurement-function-pt1\/measurement-function-pt3\/\",\"url\":\"https:\/\/research.reading.ac.uk\/fiduceo\/archive\/tutorials\/measurement-function-pt1\/measurement-function-pt3\/\",\"name\":\"Measurement function - 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