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Assessing the Nature of Periodontal Disease Progression —An Application of Covariance Structure Estimation
Author(s) -
Sterne J. A. C.,
Kingman A.,
LÖE H.
Publication year - 1992
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2348088
Subject(s) - covariance , periodontal disease , estimation , mathematics , statistics , econometrics , medicine , dentistry , economics , management
SUMMARY Differing theories of the nature of periodontal disease progression have been proposed, but there is no convincing statistical evidence with which to choose between them. Three models for disease progression are developed, and their covariance structures are derived and shown to be hierarchical. The estimation of the covariance structures of the three models is illustrated with both simulated data and data from a long‐term study of periodontal disease progression. The study provides insight into both the nature of periodontal disease progression and the use of the estimation of covariance structural models to distinguish between models for which a likelihood is not completely specified.