More Parsimonious Linar‐By‐Linear Associatin Model in the Analysis of Cross‐Classifications Having Ordered Categories | Zendy

Tomizaawa Sadao | Zendy

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More Parsimonious Linar‐By‐Linear Associatin Model in the Analysis of Cross‐Classifications Having Ordered Categories

Author(s) -

Tomizaawa Sadao

Publication year - 1992

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.4710340202

Subject(s) - mathematics , linear model , statistics , generalized linear model , column (typography) , scale (ratio) , function (biology) , log linear model , econometrics , geography , geometry , connection (principal bundle) , evolutionary biology , biology , cartography

For the analysis of cross‐classifications having ordered categories, this paper proposes a model which is more parsimonious than the linear‐by‐linear association (LL) model (that is, which can be described in terms of fewer parameters than the LL model). In a special case, this model is more parsimonious than the uniform association (U) model. Under this model, the expected frequency on a log scale is a linear function of row and column variables for fixed column and row variables, respectively. For the well‐known operation and dumping severity data, the parsimonious U model proposed here fits well, and new interpretations are added.

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