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Full-Text Articles in Numerical Analysis and Computation
The Interquartile Range: Theory And Estimation., Dewey Lonzo Whaley
The Interquartile Range: Theory And Estimation., Dewey Lonzo Whaley
Electronic Theses and Dissertations
The interquartile range (IQR) is used to describe the spread of a distribution. In an introductory statistics course, the IQR might be introduced as simply the “range within which the middle half of the data points lie.” In other words, it is the distance between the two quartiles, IQR = Q3 - Q1. We will compute the population IQR, the expected value, and the variance of the sample IQR for various continuous distributions. In addition, a bootstrap confidence interval for the population IQR will be evaluated.
Survival Model And Estimation For Lung Cancer Patients., Xingchen Yuan
Survival Model And Estimation For Lung Cancer Patients., Xingchen Yuan
Electronic Theses and Dissertations
Lung cancer is the most frequent fatal cancer in the United States. Following the notion in actuarial math analysis, we assume an exponential form for the baseline hazard function and combine Cox proportional hazard regression for the survival study of a group of lung cancer patients. The covariates in the hazard function are estimated by maximum likelihood estimation following the proportional hazards regression analysis. Although the proportional hazards model does not give an explicit baseline hazard function, the baseline hazard function can be estimated by fitting the data with a non-linear least square technique. The survival model is then examined …