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Spline and General Regression of Polytomous Data
Author(s) -
Onukogu I. B.
Publication year - 1985
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.4710270710
Subject(s) - polytomous rasch model , mathematics , statistics , regression , regression analysis , linear regression , spline (mechanical) , spurious relationship , cross sectional regression , econometrics , multinomial logistic regression , polynomial regression , item response theory , psychometrics , engineering , structural engineering
The paper shows a formulation for a general linear regression as well as a spline regression of multinomial responses on a quantitative input variables. Application of least squares and asymptotic theory yields the F ‐test for significance of coefficients and a t ‐test for structural discontinuity.
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