Quasi-geostrophic equations: Difference between revisions
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'''Bennett, Alpert & Goldstein’s ''S''''' is a statistical measure of [[inter-rater agreement]]. It was created by Bennett ''et al.'' in 1954.<ref name=Bennett1954>Bennett EM, Alpert R, & Goldstein AC (1954) Communications through limited response questioning. ''Public Opinion Quarterly'' 18, 303–308</ref> | |||
==Rationale for use== | |||
Bennett ''et al.'' suggested adjusting inter-rater reliability to accommodate the [[percentage]] of rater agreement that might be expected by chance was a better measure than simple agreement between raters.<ref>http://www.sciencedirect.com/science/article/pii/S157231271100089X</ref>They proposed an index which adjusted the proportion of rater agreement based on the number of categories employed. | |||
==Mathematical formulation== | |||
The formula for ''S'' is | |||
: <math> S = \frac{ Q P_a - 1 } { Q - 1 } </math> | |||
where ''Q'' is the number of categories and ''P''<sub>a</sub> is the proportion of agreement between raters. | |||
The [[variance]] of ''S'' is | |||
: <math> \operatorname{Var}(S) = \left( \frac { Q } { Q - 1 } \right)^2 \frac { P_a ( P_a - 1 ) } { n - 1 } </math> | |||
==Notes== | |||
This statistic is also known as Guilford’s ''G''.<ref name=Holley1964>Holley JW, & Guilford JP (1964) A note on the G index of agreement. ''Educ Psych Measurement'' 24, 749–753</ref> Guilford was the first person to use the approach extensively in the determination of inter-rater reliability.{{Citation needed|date=March 2012}} | |||
==References== | |||
{{reflist}} | |||
{{statistics}} | |||
{{DEFAULTSORT:Bennett, Alpert, and Goldstein's S}} | |||
[[Category:Categorical data]] | |||
[[Category:Inter-rater reliability]] | |||
Revision as of 05:31, 23 March 2013
Bennett, Alpert & Goldstein’s S is a statistical measure of inter-rater agreement. It was created by Bennett et al. in 1954.[1]
Rationale for use
Bennett et al. suggested adjusting inter-rater reliability to accommodate the percentage of rater agreement that might be expected by chance was a better measure than simple agreement between raters.[2]They proposed an index which adjusted the proportion of rater agreement based on the number of categories employed.
Mathematical formulation
The formula for S is
where Q is the number of categories and Pa is the proportion of agreement between raters.
The variance of S is
Notes
This statistic is also known as Guilford’s G.[3] Guilford was the first person to use the approach extensively in the determination of inter-rater reliability.Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park.
References
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- ↑ Bennett EM, Alpert R, & Goldstein AC (1954) Communications through limited response questioning. Public Opinion Quarterly 18, 303–308
- ↑ http://www.sciencedirect.com/science/article/pii/S157231271100089X
- ↑ Holley JW, & Guilford JP (1964) A note on the G index of agreement. Educ Psych Measurement 24, 749–753