By Ying Lu, Jiqian Fang, Lu Tian, Hua Jin
This ebook provides new and robust complex statistical equipment which have been utilized in smooth medication, drug improvement, and epidemiology. a few of these tools have been first and foremost constructed for tackling scientific difficulties. All 29 chapters are self-contained. each one bankruptcy represents the recent improvement and destiny learn issues for a scientific or statistical department. For the good thing about readers with various statistical historical past, each one bankruptcy follows an analogous kind: the reason of clinical demanding situations, statistical rules and methods, statistical equipment and methods, mathematical feedback and historical past and reference. All chapters are written through specialists of the respective subject matters.
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Extra info for Advanced Medical Statistics
30. Dorfman, D. D. and Alf, E. (1969). Maximum likelihood estimation of parameters of signal detection theory and determination of confidence intervals: Rating data. Journal of Mathematical Psychology 6: 487–496. 31. England, W. L. (1988). An exponential model used for optimal threshold selection on ROC curves. Medical Decision Making 8: 120–131. 32. Grey, D. R. and Morgan, B. J. T. (1972). Some aspects of ROC curve-fitting: Normal and logistic models. Journal of Mathematical Psychology 9: 128–129.
The proposed approach does not require an iterative algorithm to compute the ML estimates, nor the normality assumption of the latent decision variable. The proposed approach can also apply to the setting whether some observed discrete covariates of a patient might influence the decision to verify the patient. However, this approach can only apply to the area under the ROC curve, not the ROC curve itself. 2. Estimation of a single ROC curve without covariates Let T be the ordinal-scale test results, and the definitions of random variables D and V are the same as those in Sec.
26. Kilgore, E. S. (1920). Relation of quantitative methods to the advance of medical science. J. Am. Med. Assoc. 88, July 10. 27. Pearl, R. (1921). Modern methods in handling hospital statistics. The Johns Hopkins Hospital Bulletin 32: 185. 28. Box, J. E. (1979). R. A. Fisher : The Life of a Scientist, John Wiley and Sons, New York. 29. Fisher, R. A. (1958). , Hafner, New York. 30. Fisher, R. A. (1960). , Hafner, New York. 31. Hill, A. B. (1991). Principles of Medical Statistics. , London. 32.
Advanced Medical Statistics by Ying Lu, Jiqian Fang, Lu Tian, Hua Jin