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| Principal Investigator | |
| Principal Investigator's Name: | MARYAM Habadi |
| Institution: | King Abdulaziz University |
| Department: | Statistics |
| Country: | |
| Proposed Analysis: | Alzheimer’s is an incurable disease and it is the most common cause of dementia among older people. The cause of the disease is not yet very well understood and thus, it has been suggested that the abnormal level of beta-amyloid and phosphorylated tau (Pτ) proteins as one of the possible causes of Alzheimer’s. In the present study, we first performed parametric statistical analysis to the beta-amyloid and the Pτ proteins levels of Alzheimer’s patients to understand their probabilistic behavior independently. This study involves the identification of the probability distribution function that characterizes the behavior of the subject variables of interest. Having identified such a probability function, we can obtain useful information concerning the two subject entities, such as the expected numerical value and confidence level of the beta-amyloid and P-tau proteins. The second main aim of this study is to explore their probabilistic behavior as correlated variables by establishing their bivariate probability distribution function. A copula method is proposed to model the joint probability density function of both proteins with the given marginals and correlation coefficient. Usually, researchers working on Alzheimer’s data characterize the probability distribution function (pdf) of beta-amyloid and P-tau protein levels as the popular Gaussian pdf. The required symmetry of the data is not true in the subject area and the results will be misleading. The best distributions that fit the levels of beta-amyloid and P-tau proteins are the three parameters log-logistic probability distribution and the three-parameter Weibull probability distribution, respectively. |
| Additional Investigators |
