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Detection of Unusual Increases in MRI Lesion Counts in Individual Multiple Sclerosis Patients

识别个体多发性硬化患者 MRI 病灶计数的异常增加

Data Safety and Monitoring Boards (DSMBs) for multiple sclerosis clinical trials consider an increase of contrast-enhancing lesions on repeated magnetic resonance imaging an indicator for potential adverse events. However, there are no published studies that clearly identify what should be considered an “unexpected increase” of lesion activity for a patient. To address this problem, we consider as an index the likelihood of observing lesion counts as large as those observed…

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A Comparison of n Estimators for the Binomial Distribution

二项分布试验次数的估计方法比较

Estimating the number, n, of trials, given a sequence of independent success counts obtained by replicating the n-trial experiment is less studied and a considerably harder problem than estimating p for the binomial distribution. Both the method of moments and the maximum likelihood estimators of n are considered. When p is unknown and small, while n is large, both estimators become highly unstable. Stabilized versions of these estimators are proposed, and their performance…

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Sequential Testing of the Equality of Two Survival Distributions Using the Modified Savage Statistic

基于修正 Savage 统计量的两生存分布相等性序贯检验

Sequential procedures based on the modified Savage statistic are proposed for testing the equality of two survival distributions when observations are singly censored. Asymptotic properties, including expected sample sizes and power against contiguous exponential scale shift alternatives, are examined. Comparison is made with procedures based on a modified Mantel-Haenszel statistic (Muenz, Green & Byar, 1977).

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Sequential testing of the equality of two survival distributions using the modified Savage statistic

用修正 Savage 统计量序贯检验两个生存分布相等

Sequential procedures based on the modified Savage statistic are proposed for testing the equality of two survival distributions when observations are singly censored. Asymptotic properties, including expected sample sizes and power against contiguous exponential scale shift alternatives, are examined. Comparison is made with procedures based on a modified Mantel-Haenszel statistic (Muenz, Green & Byar, 1977).

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