Measures of Ordinal Association: A New Look at an Old Problem
Evidence shows that the gamma coefficient (Goodman & Kruskal, 1954) as a measure of association between two classifications either overestimated or underestimated the degree of association in the 2 × 2 case in most situations, underestimated the degree in the m × 2 ( m > 2) case, and was subj...
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| Veröffentlicht in: | Methodology 2009, Vol.5 (4), p.112-122 |
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| container_title | Methodology |
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| creator | Cheng, Chao-Ming Lin, Wen-Ying |
| description | Evidence shows that the
gamma
coefficient (Goodman &
Kruskal, 1954) as a measure of association between two classifications either
overestimated or underestimated the degree of association in the 2 ×
2 case in most situations, underestimated the degree in the
m
× 2 (
m
> 2) case, and was subject to
restricted-range and fineness/coarseness effects. This study is to
treat the degree of association as the extent to which the percentage of
observations falling into a class on one classification can be increased by an
increase from one class to another on the other classification. A statistic
computing the relative magnitude of the percentage increase to its maximal
increase, designated as
C
p
, is ideal for measuring the degree without being contaminated by other
factors. Moreover, the value of
C
p
is accurate and stable across different portions of classification data
and free from restricted-range and fineness/coarseness effects. |
| doi_str_mv | 10.1027/1614-2241.5.4.112 |
| format | Article |
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gamma
coefficient (Goodman &
Kruskal, 1954) as a measure of association between two classifications either
overestimated or underestimated the degree of association in the 2 ×
2 case in most situations, underestimated the degree in the
m
× 2 (
m
> 2) case, and was subject to
restricted-range and fineness/coarseness effects. This study is to
treat the degree of association as the extent to which the percentage of
observations falling into a class on one classification can be increased by an
increase from one class to another on the other classification. A statistic
computing the relative magnitude of the percentage increase to its maximal
increase, designated as
C
p
, is ideal for measuring the degree without being contaminated by other
factors. Moreover, the value of
C
p
is accurate and stable across different portions of classification data
and free from restricted-range and fineness/coarseness effects.</description><identifier>ISSN: 1614-1881</identifier><identifier>EISSN: 1614-2241</identifier><identifier>DOI: 10.1027/1614-2241.5.4.112</identifier><language>eng</language><publisher>Göttingen: Hogrefe & Huber Publishers</publisher><subject>Biological and medical sciences ; Fundamental and applied biological sciences. Psychology ; Psychology. Psychoanalysis. Psychiatry ; Psychology. Psychophysiology ; Psychometrics. Statistics. Methodology ; Statistical Measurement ; Statistics ; Statistics. Mathematics</subject><ispartof>Methodology, 2009, Vol.5 (4), p.112-122</ispartof><rights>2009 Hogrefe & Huber Publishers</rights><rights>2015 INIST-CNRS</rights><rights>2009, Hogrefe & Huber Publishers</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-a317t-e4935b9c363eb804c3ad4a0d9d3f4ffb358d572a72fe0393db483da9c4a21dd93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4023,27922,27923,27924</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23707676$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Cheng, Chao-Ming</creatorcontrib><creatorcontrib>Lin, Wen-Ying</creatorcontrib><title>Measures of Ordinal Association: A New Look at an Old Problem</title><title>Methodology</title><description>Evidence shows that the
gamma
coefficient (Goodman &
Kruskal, 1954) as a measure of association between two classifications either
overestimated or underestimated the degree of association in the 2 ×
2 case in most situations, underestimated the degree in the
m
× 2 (
m
> 2) case, and was subject to
restricted-range and fineness/coarseness effects. This study is to
treat the degree of association as the extent to which the percentage of
observations falling into a class on one classification can be increased by an
increase from one class to another on the other classification. A statistic
computing the relative magnitude of the percentage increase to its maximal
increase, designated as
C
p
, is ideal for measuring the degree without being contaminated by other
factors. Moreover, the value of
C
p
is accurate and stable across different portions of classification data
and free from restricted-range and fineness/coarseness effects.</description><subject>Biological and medical sciences</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Psychology. Psychoanalysis. Psychiatry</subject><subject>Psychology. Psychophysiology</subject><subject>Psychometrics. Statistics. Methodology</subject><subject>Statistical Measurement</subject><subject>Statistics</subject><subject>Statistics. Mathematics</subject><issn>1614-1881</issn><issn>1614-2241</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNptkM1Lw0AQxRdRsH78AZ4sihchcWd3k02OpfgFlV70vEz2A1LSJO6kh_73prQUBU8zPH7zmPcYuwGeAhf6CXJQiRAK0ixVKYA4YZOjdnrYoSjgnF0QrThXo6In7PbDI22ip2kXpsvo6hab6YyoszUOdddesbOADfnrw7xkXy_Pn_O3ZLF8fZ_PFglK0EPiVSmzqrQyl74quLISnULuSieDCqGSWeEyLVCL4LkspatUIR2WVqEA50p5ye72vn3svjeeBrPqNnF8hsz4eQa8yGCEYA_Z2BFFH0wf6zXGrQFudjWYXUyzi2wyo8xYw3jzcDBGstiEiK2t6XgopOY61_nIPe457NH0tLUYh9o2nuwmRt8OZu3dL9P7_-E_1A-dtXZ6</recordid><startdate>2009</startdate><enddate>2009</enddate><creator>Cheng, Chao-Ming</creator><creator>Lin, Wen-Ying</creator><general>Hogrefe & Huber Publishers</general><general>Hogrefe</general><general>Hogrefe Publishing</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7RZ</scope><scope>PSYQQ</scope></search><sort><creationdate>2009</creationdate><title>Measures of Ordinal Association</title><author>Cheng, Chao-Ming ; Lin, Wen-Ying</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a317t-e4935b9c363eb804c3ad4a0d9d3f4ffb358d572a72fe0393db483da9c4a21dd93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Biological and medical sciences</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Psychology. Psychoanalysis. Psychiatry</topic><topic>Psychology. Psychophysiology</topic><topic>Psychometrics. Statistics. Methodology</topic><topic>Statistical Measurement</topic><topic>Statistics</topic><topic>Statistics. Mathematics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cheng, Chao-Ming</creatorcontrib><creatorcontrib>Lin, Wen-Ying</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>APA PsycArticles®</collection><collection>ProQuest One Psychology</collection><jtitle>Methodology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cheng, Chao-Ming</au><au>Lin, Wen-Ying</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Measures of Ordinal Association: A New Look at an Old Problem</atitle><jtitle>Methodology</jtitle><date>2009</date><risdate>2009</risdate><volume>5</volume><issue>4</issue><spage>112</spage><epage>122</epage><pages>112-122</pages><issn>1614-1881</issn><eissn>1614-2241</eissn><abstract>Evidence shows that the
gamma
coefficient (Goodman &
Kruskal, 1954) as a measure of association between two classifications either
overestimated or underestimated the degree of association in the 2 ×
2 case in most situations, underestimated the degree in the
m
× 2 (
m
> 2) case, and was subject to
restricted-range and fineness/coarseness effects. This study is to
treat the degree of association as the extent to which the percentage of
observations falling into a class on one classification can be increased by an
increase from one class to another on the other classification. A statistic
computing the relative magnitude of the percentage increase to its maximal
increase, designated as
C
p
, is ideal for measuring the degree without being contaminated by other
factors. Moreover, the value of
C
p
is accurate and stable across different portions of classification data
and free from restricted-range and fineness/coarseness effects.</abstract><cop>Göttingen</cop><pub>Hogrefe & Huber Publishers</pub><doi>10.1027/1614-2241.5.4.112</doi><tpages>11</tpages></addata></record> |
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| subjects | Biological and medical sciences Fundamental and applied biological sciences. Psychology Psychology. Psychoanalysis. Psychiatry Psychology. Psychophysiology Psychometrics. Statistics. Methodology Statistical Measurement Statistics Statistics. Mathematics |
| title | Measures of Ordinal Association: A New Look at an Old Problem |
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