THE GENERALIZATION OF PROBIT ANALYSIS TO THE CASE OF MULTIPLE RESPONSES

THE GENERALIZATION OF PROBIT ANALYSIS TO THE CASE OF MULTIPLE RESPONSES
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DOI:
10.1093/biomet/44.1-2.131
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发表时间:
1957-01-01
期刊:
影响因子:
2.7
通讯作者:
SILVEY, SD
SILVEY, SD
中科院分区:
数学2区
文献类型:
--
作者:
AITCHISON, J;SILVEY, SD

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本文讨论的广义概率单位分析是由昆虫学中的一个问题引起的。我们将提出一个解决这个特殊问题的方法,然后考虑一个更一般的情况,这种解决方法可能是合适的。具体问题如下。Petrobius Leach(Thysanura,Machilidae)是一种原始的无翅昆虫,与国内的银鱼有亲缘关系,在其一生中经历了不同的阶段,在技术上称为“龄期”。一个生物学问题是估计此类昆虫在每个虫龄(阶段)所花费的平均时间。由于难以在实验室中保持这些昆虫的存活(因此难以在其一生中对其进行有效的连续观察),因此在田间的不同日期对其进行了采样,并根据龄期对观察到的昆虫进行了分类。表1列出了实际需要分析的数据。昆虫于4月30日开始孵化,时间将从该日期开始测量。问题是从这些数据中估计每个阶段所花费的平均时间。
The generalized probit analysis which we will discuss in this paper arose from a problem in entomology. We will suggest a solution to this particular problem and then consider a more general situation where this method of solution might be appropriate. The particular problem is as follows. In the course of its lifetime the Petrobius Leach (Thysanura, Machilidae), which is a primitive wingless insect allied to the domestic silverfish, passes through various stages, technically referred to as' instars'. A problem of biological interest is to estimate the mean time spent by such insects in each instar (stage). Since there are difficulties involved in keeping these insects alive in the laboratory (and consequently in keeping them under effectively continuous observation during their lifetime), they were sampled at various dates in the field, and those observed were classified according to instar. The actual set of data to be analysed is given in Table 1.* The insects started hatching on 30 April and times will be measured from this date. The problem is to estimate from these data the mean time spent in each stage.