Multivariate Logistic Regression Models in the Progression of Vision Threatening Disease

Abstract

Diabetic Mellitus is a disease of inadequate control of level of glucose in blood. It is also happened by disorder of carbohydrate metabolism by impaired ability to produce insulin in blood. In this article, I have to discuss about how to find risk factors and how much its influence in the progression of Diabetic Retinopathy (DR), to identify the presence of DR and its progression by formulating some mathematical equations with suitable variables and to find several stages of DR and its progression. The continuous variables were expressed as mean and standard deviation and categorial variables as frequency and proportions. In this, we have discussed about various kind of statistical prediction models. Found the influencing factors in the progression of DR by using multiple logistic regression analysis, predicted the probability of a DM patient in the progression of DR and found the probability of DR among diabetes up to a given period of time and using by Markov Chain Analysis found the TPM and the absorbing state in a DM patient and to identify as having complete vision loss. I have concluded that the statistical models were explained and found the influenced factors and risk ratio to develop DR among DM patients has been computed, and transition of DR which predict the chance to develop DR in a DM patient and found the probability to develop DR over a period of time has also explained via procedure. Keywords: diabetic mellitus, diabetic retinopathy, statistical models, risk ratio