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The logistic and integrated normal binary response curves are known to agree closely except in the tails. For experiments based on three dose levels the power of a signifacance test is found for the null hypothesis that the response curve is ligistic against the alternative that it is normal, and vice versa. From this an appropriate spacing of dose levels for discrimination is found. Approximately 1000 observations are necessary for even modest sensitivity.

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一阶序列相关系数的零假设分布AI 解读

The null sampling distribution of the first serial correlation coefficient for random samples from populations of various shepes has been investigated by experimental sampling. The sampling distribution is very stable under changes of population shape and the asymptotic normal form of the sampling distribution is a rsesonable approximation even in samples as small as 10–20. One effect of a long tail in the population is to decrease the sampling variance.

平稳点过程强度函数的估计AI 解读

Summary The intensity function of a stationary point process gives as a function of x the conditional probability, given an event at time t, of an event in the interval (t + x, t + x + Δx). A very nearly unbiased estimate of the grouped intensity function is constructed. its sampling properties are investigated when the data are generated by a Poisson process.

序贯抽样后应用同质性检验的说明AI 解读

SUMMARY It is pointed out that tests based on permutation theory can often be validly used to test the homogeneity of results obtained in a sequential trial.

Summary In estimating the regression coefficient of y on x, we can sometimes increase precision by using supplementary observations, u. We need to have prior information about the form of the relations among y, x, and u. An implication for experimental design is noted.

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二元序列的回归分析AI 解读

Summary A sequence of 0’s and 1’s is observed and it is suspected that the chance that a particular trial is a 1 depends on the value of one or more independent variables. Tests and estimates for such situations are considered, dealing first with problems in which the independent variable is preassigned and then with independent variables that are functions of the sequence. There is a considerable amount of earlier work, which is reviewed.

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与事件序列有关的若干统计方法AI 解读

Summary The paper deals with a number of problems of statistical analysis connected with events occurring haphazardly in space or time. The topics discussed include: tests of randomness, components of variance, the correlation between events of different types, and a modification of the snap-round method used in operational research.

随机间隔需要照管的机器的生产率AI 解读

Summary In many industrial processes an operative attends a number of machines which stop from time to time. Each time a machine stops the operative has to do a certain amount of work before it can be restarted. If at any time two or more machines are stopped simultaneously, there will be a loss of production due to the period the machines have to wait for attention. In this paper we derive methods of estimating this loss of production when the operative has no duties away…

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