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

• Published in: Biometrical Journal
• Main Authors: Möttonen, Jyrki, Oja, Hannu, Krause, Ulf, Rantakallio, Paula
• Format: Article in Journal/Newspaper
• Language: English
• Published: Wiley 1995
• Subjects: Northern Finland
• 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

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.