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The Power of Two Difference-Sign Tests

两种差分符号检验的功效

SITUATIONS arise in which we are unable to make the assumptions necessary for the application of standard theory based on the normal distribution. Most of the distribution-free tests which have been proposed for such situations are based on statistics which are very easy to compute, and this ease of computation goes some way to compensate for any information, available in the sample, which may be ignored. Quite apart from such situations, it is interesting to investigate the…

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Some Nonparametric Tests for Student's Hypothesis in Experimental Designs

实验设计中检验 Student 假设的若干非参数方法

In experimental designs the quantities investigated are often grouped into blocks as a method of obtaining a higher precision for the experiment. This grouping may result in high correlation among observations within the same block. If the positions of the treatments within a block are assigned at random, the amount of correlation is difficult to determine and may vary greatly between treatments and from block to block. Also for many experiments the variances of the…

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Some Considerations in the Use of the Residual Method of Estimating Net Migration

使用残差法估计净迁移的若干考量

Census net migration data and estimates of net migration obtained by the residual method, representing the difference between total population change and natural change during a period, are compared, and some general problems in the use of the residual method are discussed. Several residual methods—the vital statistics method and the forward, reverse, and average survival rate methods—are described, compared, and evaluated. On the basis of a symbolic model representing the…

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Estimation in the Truncated Normal Distribution

截断正态分布中的估计

Charts are presented which can be used to simplify estimation of μ and σ in the case of sampling from a singly truncated normal distribution when (a) the point of truncation and the number of observations in the truncated portion are known, (b) the number of observations in the truncated portion is not known. A somewhat different iteration procedure for case (a) than given by other writers is suggested and an example is given.

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Some Nonparametric Tests for Student's Hypothesis in Experimental Designs

实验设计中检验 Student 假设的若干非参数方法

In experimental designs the quantities investigated are often grouped into blocks as a method of obtaining a higher precision for the experiment. This grouping may result in high correlation among observations within the same block. If the positions of the treatments within a block are assigned at random, the amount of correlation is difficult to determine and may vary greatly between treatments and from block to block. Also for many experiments the variances of the…

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Estimation in the Truncated Normal Distribution

Charts are presented which can be used to simplify estimation of μ and σ in the case of sampling from a singly truncated normal distribution when (a) the point of truncation and the number of observations in the truncated portion are known, (b) the number of observations in the truncated portion is not known. A somewhat different iteration procedure for case (a) than given by other writers is suggested and an example is given.

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Operating Characteristics for Tests of the Stability of a Normal Population

正态总体稳定性检验的操作特性

This paper presents values of the operating characteristic (OC) function for a common type of stability test and for two possible substitutes for this test. The situation considered is that of small samples from normal populations. The purpose of a test is for deciding whether a sample is from a specified population.

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Operating Characteristics for Tests of the Stability of a Normal Population

正态总体稳定性检验的操作特征

This paper presents values of the operating characteristic (OC) function for a common type of stability test and for two possible substitutes for this test. The situation considered is that of small samples from normal populations. The purpose of a test is for deciding whether a sample is from a specified population.

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Estimation for Sub-Sampling Designs Employing the County as a Primary Sampling Unit

以县为初级抽样单位的子抽样设计估计

This paper summarizes a study of the application of various two-stage sampling designs and estimation procedures for preparation of state estimates of agricultural items in North Carolina. Among the principal objectives of the investigation were (i) the comparison of selection of the primary sampling units with equal probability and with probability proportional to size and (ii) assessment of the magnitude of the within primary sampling unit error component contribution to…

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Estimation for Sub-Sampling Designs Employing the County as a Primary Sampling Unit

以县为初级抽样单位的子抽样设计与估计

This paper summarizes a study of the application of various two-stage sampling designs and estimation procedures for preparation of state estimates of agricultural items in North Carolina. Among the principal objectives of the investigation were (i) the comparison of selection of the primary sampling units with equal probability and with probability proportional to size and (ii) assessment of the magnitude of the within primary sampling unit error component contribution to…

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Statistics in Production and Inspection

生产与检验中的统计学

D URING the past ten years there has been a phenomenal growth in the use of Shewhart control charts in improving the quality of industrial products. Likewise, manufacturers have greatly increased their use of standard sampling plans in the inspection of purchased materials. In view of the wide areas of application still untouched, these trends seem likely to continue. An appraisal of the future for statistics in production and inspection focuses attention on three worthy…

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