See homoscedasticity on Wiktionary
{ "antonyms": [ { "sense": "antonym(s) of “statistics”", "word": "heteroscedasticity" } ], "etymology_templates": [ { "args": { "1": "en", "2": "homo-", "3": "scedasticity" }, "expansion": "homo- + scedasticity", "name": "af" } ], "etymology_text": "From homo- + scedasticity.", "forms": [ { "form": "homoscedasticities", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "-", "2": "+" }, "expansion": "homoscedasticity (usually uncountable, plural homoscedasticities)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms prefixed with homo-", "parents": [], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Japanese terms with redundant script codes", "parents": [ "Terms with redundant script codes", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Catalan translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Greek translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Japanese translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Statistics", "orig": "en:Statistics", "parents": [ "Formal sciences", "Mathematics", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "1989, AW Storey, “The freshwater mussel, Westralunio carteri Iredale, as a biological monitor of organochlorine pesticides”, in Australian Journal of Marine and Freshwater Research, volume 40, number 6, page 587:", "text": "Before analysis, homoscedasticities of sample variances were assessed by Cochran's C and Bartlett's Box tests.", "type": "quote" }, { "ref": "2010, Min Gyo Koo, Island Disputes and Maritime Regime Building in East Asia, footnote, page 46:", "text": "Unlike OLS^([Ordinary Least Squares]) regression, logistic regression does not assume linearity of relationship between dependent and independent variables; does not require normally distributed variables; does not assume homoscedasticity; and in general has less stringent requirements.", "type": "quote" }, { "ref": "2010, Francesca Greselin, Salvatore Ingrassia, “Weakly Homoscedastic Constraints for Mixtures of t-Distributions”, in Andreas Fink, Berthold Lausen, Wilfried Seidel, Alfred Ultsch, editors, Advances in Data Analysis, Data Handling and Business Intelligence, Springer, page 225:", "text": "Preliminarily, the weak homoscedasticity of the two classes has been tested:[…].", "type": "quote" }, { "ref": "2013, Chandan Mukherjee, Howard White, Marc Wuyts, Econometrics and Data Analysis for Developing Countries, page 264:", "text": "Thus, Glejser's test also rejects the hypothesis of homoscedasticity.", "type": "quote" } ], "glosses": [ "A property of a set of random variables such that each variable has the same finite variance." ], "id": "en-homoscedasticity-en-noun-TP1u8ESI", "links": [ [ "statistics", "statistics" ], [ "set", "set" ], [ "random", "random" ], [ "variable", "variable" ], [ "finite", "finite" ], [ "variance", "variance" ] ], "raw_glosses": [ "(statistics) A property of a set of random variables such that each variable has the same finite variance." ], "related": [ { "word": "homoscedastic" } ], "synonyms": [ { "word": "homoskedasticity" } ], "tags": [ "uncountable", "usually" ], "topics": [ "mathematics", "sciences", "statistics" ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "homoscedasticitat" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "tóng fāngchà xìng", "sense": "property of a set of random variables", "word": "同方差性" }, { "code": "fi", "lang": "Finnish", "sense": "property of a set of random variables", "word": "homoskedastisuus" }, { "code": "fr", "lang": "French", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "homoscédasticité" }, { "code": "de", "lang": "German", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "Homoskedastizität" }, { "code": "el", "lang": "Greek", "roman": "omoskedastikótita", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "ομοσκεδαστικότητα" }, { "code": "it", "lang": "Italian", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "omoschedasticità" }, { "code": "ja", "lang": "Japanese", "roman": "tōbunsansei", "sense": "property of a set of random variables", "word": "等分散性" }, { "code": "es", "lang": "Spanish", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "homocedasticidad" } ], "wikipedia": [ "homoscedasticity" ] } ], "sounds": [ { "ipa": "/həʊməʊskɪdæsˈtɪsɪti/", "tags": [ "UK" ] }, { "ipa": "/hoʊmoʊsɪdæsˈtɪsɪti/", "tags": [ "US" ] } ], "word": "homoscedasticity" }
{ "antonyms": [ { "sense": "antonym(s) of “statistics”", "word": "heteroscedasticity" } ], "etymology_templates": [ { "args": { "1": "en", "2": "homo-", "3": "scedasticity" }, "expansion": "homo- + scedasticity", "name": "af" } ], "etymology_text": "From homo- + scedasticity.", "forms": [ { "form": "homoscedasticities", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "-", "2": "+" }, "expansion": "homoscedasticity (usually uncountable, plural homoscedasticities)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "homoscedastic" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with homo-", "English terms with quotations", "English uncountable nouns", "Entries with translation boxes", "Japanese terms with redundant script codes", "Pages with 1 entry", "Pages with entries", "Terms with Catalan translations", "Terms with Finnish translations", "Terms with French translations", "Terms with German translations", "Terms with Greek translations", "Terms with Italian translations", "Terms with Japanese translations", "Terms with Mandarin translations", "Terms with Spanish translations", "en:Statistics" ], "examples": [ { "ref": "1989, AW Storey, “The freshwater mussel, Westralunio carteri Iredale, as a biological monitor of organochlorine pesticides”, in Australian Journal of Marine and Freshwater Research, volume 40, number 6, page 587:", "text": "Before analysis, homoscedasticities of sample variances were assessed by Cochran's C and Bartlett's Box tests.", "type": "quote" }, { "ref": "2010, Min Gyo Koo, Island Disputes and Maritime Regime Building in East Asia, footnote, page 46:", "text": "Unlike OLS^([Ordinary Least Squares]) regression, logistic regression does not assume linearity of relationship between dependent and independent variables; does not require normally distributed variables; does not assume homoscedasticity; and in general has less stringent requirements.", "type": "quote" }, { "ref": "2010, Francesca Greselin, Salvatore Ingrassia, “Weakly Homoscedastic Constraints for Mixtures of t-Distributions”, in Andreas Fink, Berthold Lausen, Wilfried Seidel, Alfred Ultsch, editors, Advances in Data Analysis, Data Handling and Business Intelligence, Springer, page 225:", "text": "Preliminarily, the weak homoscedasticity of the two classes has been tested:[…].", "type": "quote" }, { "ref": "2013, Chandan Mukherjee, Howard White, Marc Wuyts, Econometrics and Data Analysis for Developing Countries, page 264:", "text": "Thus, Glejser's test also rejects the hypothesis of homoscedasticity.", "type": "quote" } ], "glosses": [ "A property of a set of random variables such that each variable has the same finite variance." ], "links": [ [ "statistics", "statistics" ], [ "set", "set" ], [ "random", "random" ], [ "variable", "variable" ], [ "finite", "finite" ], [ "variance", "variance" ] ], "raw_glosses": [ "(statistics) A property of a set of random variables such that each variable has the same finite variance." ], "tags": [ "uncountable", "usually" ], "topics": [ "mathematics", "sciences", "statistics" ], "wikipedia": [ "homoscedasticity" ] } ], "sounds": [ { "ipa": "/həʊməʊskɪdæsˈtɪsɪti/", "tags": [ "UK" ] }, { "ipa": "/hoʊmoʊsɪdæsˈtɪsɪti/", "tags": [ "US" ] } ], "synonyms": [ { "word": "homoskedasticity" } ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "homoscedasticitat" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "tóng fāngchà xìng", "sense": "property of a set of random variables", "word": "同方差性" }, { "code": "fi", "lang": "Finnish", "sense": "property of a set of random variables", "word": "homoskedastisuus" }, { "code": "fr", "lang": "French", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "homoscédasticité" }, { "code": "de", "lang": "German", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "Homoskedastizität" }, { "code": "el", "lang": "Greek", "roman": "omoskedastikótita", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "ομοσκεδαστικότητα" }, { "code": "it", "lang": "Italian", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "omoschedasticità" }, { "code": "ja", "lang": "Japanese", "roman": "tōbunsansei", "sense": "property of a set of random variables", "word": "等分散性" }, { "code": "es", "lang": "Spanish", "sense": "property of a set of random variables", "tags": [ "feminine" ], "word": "homocedasticidad" } ], "word": "homoscedasticity" }
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