A Restricted Test of Circadian Rhythm
针对死亡或事件是否在一天中随机发生的问题，提出一种利用昼夜节律知识（如事件集中在特定时段）的受限检验方法，并与忽略峰值时段的常用随机性检验比较功效，还讨论了区间删失数据处理和贝叶斯方法。
Abstract In medical applications there is interest in whether deaths or other events occur randomly throughout the day, as opposed to in a definite circadian pattern. At times, knowledge of the circadian phenomenon will suggest that a single cluster of events should occur during a specific period during the day, such as mid-morning. We propose a test that incorporates such knowledge. The test can be viewed as the likelihood ratio test for a restricted alternative for data from the von Mises (i.e., circular normal) distribution. The test's power is compared to a commonly used test of randomness that ignores when a peak is likely to occur. Methods for dealing with interval censored data are discussed, and an example is given. A Bayesian alternative is also explored.