Application of Random Coefficient Regression Model to Myopia Data: A Case Study

Abstract A one‐year birth cohort from Northern Finland has been followed up since 1966. As a part of this study, we are in this paper concerned with analysing the progression of myopia (nearsightness) up to the age of 20 years. The random coefficient regression model was chosen for the analysis beca...

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Bibliographic Details
Published in:Biometrical Journal
Main Authors: Möttonen, Jyrki, Oja, Hannu, Krause, Ulf, Rantakallio, Paula
Format: Article in Journal/Newspaper
Language:English
Published: Wiley 1995
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Online Access:http://dx.doi.org/10.1002/bimj.4710370603
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fbimj.4710370603
https://onlinelibrary.wiley.com/doi/pdf/10.1002/bimj.4710370603
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Summary:Abstract A one‐year birth cohort from Northern Finland has been followed up since 1966. As a part of this study, we are in this paper concerned with analysing the progression of myopia (nearsightness) up to the age of 20 years. The random coefficient regression model was chosen for the analysis because of the large individual variation in the development of myopia. Maximum likelihood estimates for the parameters in the model were obtained via the expectation maximization (EM) algorithm. It is shown how the estimated model can be used to predict future observations for an individual using the previously recorded refractive error measurements as well as other relevant data on the patient in question.