I probably last saw this in the last century but I’ll put it in anyway!<\/p>\n\n\n\n
Essentially another standardisation method but transforms raw scores so their mean is 50 and one standard deviation is 10. So the equation is:<\/p>\n\n\n\n
$$x^{‘}=50 + \\frac{10(x – mean_{x})}{SD_{x}}$$<\/p>\n\n\n\n
To give a silly example, if the raw data are 1, 2, 3, 4 and 5 then they have mean of 3 and SD of 1.581139. The t-score transformation converts these data to 55, 60, 65, 70 and 75 which have mean 50 and SD 10.<\/p>\n\n\n\n
As ever with these transformations\/standardisations, that’s using the mean and SD from the data, usually the transformation would use some referential mean and SD. <\/p>\n\n\n\n
Apparently this scoring\/transformation is used quite a lot in Japanese education.<\/p>\n\n\n\n
Mean (arithmetic mean\/average)<\/a> Not in the OMbook!<\/p>\n\n\n\n None currently.<\/p>\n\n\n\n First created 2.iv.24, tweaks 3.iv.24.<\/p>\n","protected":false},"excerpt":{"rendered":" I probably last saw this in the last century but I’ll put it in anyway! Details Essentially another standardisation method but transforms raw scores so their mean is 50 and one standard deviation is 10. So the equation is: $$x^{‘}=50 + \\frac{10(x – mean_{x})}{SD_{x}}$$ To give a silly example, if the raw data are 1, … Continue reading t-scores<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"doc_category":[18],"glossaries":[],"doc_tag":[],"knowledge_base":[],"class_list":["post-4097","docs","type-docs","status-publish","hentry","doc_category-om-book"],"year_month":"2026-04","word_count":143,"total_views":"1066","reactions":{"happy":"0","normal":"0","sad":"0"},"author_info":{"name":"chris","author_nicename":"chris","author_url":"https:\/\/www.psyctc.org\/psyctc\/author\/chris\/"},"doc_category_info":[{"term_name":"All OM book glossary entries","term_url":"https:\/\/www.psyctc.org\/psyctc\/glossary\/non-knowledgebase\/om-book\/"}],"doc_tag_info":[],"knowledge_base_info":[],"knowledge_base_slug":[],"_links":{"self":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4097","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/comments?post=4097"}],"version-history":[{"count":2,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4097\/revisions"}],"predecessor-version":[{"id":4109,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4097\/revisions\/4109"}],"wp:attachment":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/media?parent=4097"}],"wp:term":[{"taxonomy":"doc_category","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_category?post=4097"},{"taxonomy":"glossaries","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/glossaries?post=4097"},{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_tag?post=4097"},{"taxonomy":"knowledge_base","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/knowledge_base?post=4097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Standard deviation (SD)<\/a>
Standardisation\/normalisation<\/a>
Transforming\/transformation<\/a>
z-scores\/z-transforming<\/a><\/p>\n\n\n\nChapters<\/h4>\n\n\n\n
Online resources<\/h4>\n\n\n\n
Dates<\/h4>\n\n\n\n