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The Quantification of Qualitative Data in Discriminant Analysis

判别分析中定性数据的量化

This paper discusses the extension of discriminatory analysis to the case where the primary data are qualitative. The general principle in the use of the discriminant function in the case of two classes is to determine a set of adjustable coefficients so chosen as to maximize the ratio of the difference between sample means to the standard deviation within the two classes. When only a single chosen component is to be maximized relative to a set of other components, the…

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On the Use of the County as the Primary Sampling Unit for State Estimates

以县作为州级估计初级抽样单位的适用性

Our purpose is to consider the efficiency of the county as the primary sampling unit for making state estimates of some socio-economic and agricultural characteristics of the farm population in North Carolina. The main emphasis is on the general purpose type of survey for the State as a whole—one in which both socio-economic and agricultural characteristics are to be estimated; the study is not directed at obtaining ‘best’ estimates for specialized items. Calculations herein…

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Bias Due to Non-Availability in Sampling Surveys

抽样调查中受访者无法联系所致的偏差

A technique is presented for the treatment of errors introduced into sampling surveys due to the non-availability of respondents. The expected cost and variance of the sample survey are expressed as functions of sample size and of the number of call-backs made on the non-availables. A method is then presented which optimizes precision for a given cost by playing sampling error against the bias resulting from non-availables. * Research under the sponsorship of the Office of…

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On the Use of the County as the Primary Sampling Unit for State Estimates

以县为初级抽样单位进行州级估计的效率

Our purpose is to consider the efficiency of the county as the primary sampling unit for making state estimates of some socio-economic and agricultural characteristics of the farm population in North Carolina. The main emphasis is on the general purpose type of survey for the State as a whole—one in which both socio-economic and agricultural characteristics are to be estimated; the study is not directed at obtaining ‘best’ estimates for specialized items. Calculations herein…

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On the Best Choice of Sample Sizes for a t-Test when the Ratio of Variances is Known

已知方差比时 t 检验样本量的最佳选择

The situation considered is that of testing the difference of the means of two normal populations on the basis of a sample from each population, where the ratio of the population variances is known. The choice of sample sizes has been restricted to certain pairs which are equally preferable from the viewpoint of practical considerations (cost, difficulty of obtaining sample values, etc.). This note presents an easily applied method of determining which of these pairs of…

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Note on Some Errors in “The Evidence of Periodicity in Short Time Series”

关于《短时间序列中的周期性证据》若干错误的说明

Several fundamental errors are in Truman Kelley's “The Evidence of Periodicity in Time Series.” These involve a confusion of numbers of observations and degrees of freedom, the interpretation of probabilities obtained in tests of hypotheses and the appropriateness of periodigram analysis for detecting the existence of periodicity in time series.

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On the Best Choice of Sample Sizes for a t-Test when the Ratio of Variances is Known

方差比已知时 t 检验样本量的最佳选择

The situation considered is that of testing the difference of the means of two normal populations on the basis of a sample from each population, where the ratio of the population variances is known. The choice of sample sizes has been restricted to certain pairs which are equally preferable from the viewpoint of practical considerations (cost, difficulty of obtaining sample values, etc.). This note presents an easily applied method of determining which of these pairs of…

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By-Product Data and Forecasting in Unemployment Insurance

失业保险业务附带数据与预测

The unemployment insurance program has been operating in this country since the beginning of 1938. There have been many growing pains during these first eleven years. The operating problems involved in setting up this vast program have left little time thus far for careful consideration of the statistical data that are automatically produced in the course of its operations. These data, now and in the future, can be a fruitful source of information on changes in economic…

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Control of a General Census by Means of an Area Sampling Method

利用区域抽样方法核查全面普查

The area sampling method was applied to industrial and commercial enterprises in urban areas of France to determine the adequacy of the general census in enumerating them. The investigation showed an under-reporting by the census of enterprises of all sizes.

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A Sampling Study of the Merits of Auto-Regressive and Reduced form Transformations in Regression Analysis

回归分析中自回归变换与简约式变换的抽样研究

This paper is concerned with some aspects of regression analysis when the error terms are autocorrelated and there exists more than one relationship between the variables. In particular, we investigate the merits of autoregressive transformations and the reduced form transformation in dealing with these complications. An important result is that, unless it is possible to specify something about the intercorrelation of the error terms in a set of relations and to choose…

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By-Product Data and Forecasting in Unemployment Insurance

失业保险运行附带数据及其预测用途

The unemployment insurance program has been operating in this country since the beginning of 1938. There have been many growing pains during these first eleven years. The operating problems involved in setting up this vast program have left little time thus far for careful consideration of the statistical data that are automatically produced in the course of its operations. These data, now and in the future, can be a fruitful source of information on changes in economic…

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Control of a General Census by Means of an Area Sampling Method

利用区域抽样方法核查全面普查

The area sampling method was applied to industrial and commercial enterprises in urban areas of France to determine the adequacy of the general census in enumerating them. The investigation showed an under-reporting by the census of enterprises of all sizes.

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The Use of Sampling in Great Britain

英国抽样方法的应用

The object of this article is to survey the use of sampling methods in Great Britain. The most important sample surveys undertaken by government departments, research organisations and commercial agencies are described with particular reference to their aims and sampling methods. Deficiencies in British sampling practice are discussed and suggestions for possible future developments are made.

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Teaching Statistical Quality Control for Town and Gown

面向工业界与高校的统计质量控制教学

During the next five years, in manufacturing plants and in the engineering schools, there will be many new programs initiated to meet the demands for education in Quality Control by Statistical Methods. This paper has been written with the hope that it will be of some help in the planning and executing of such programs. Beginning with a description of types of courses and a discussion of possible content, it touches on the questions of who is to do the teaching and how the…

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Minimum X 2 and Maximum Likelihood Solution in Terms of a Linear Transform, with Particular Reference to Bio-Assay

以线性变换求最小卡方与最大似然解:侧重生物测定

An old and commonly used device for fitting a curve y = F(x, α, β) is to find a function of y which is linearly related to x, or a function of x which is linearly related to y, or functions of y and x which are linearly related to each other. The linearly related functions are plotted against one another, and a line is fitted to the points, usually by eye, sometimes by “least squares” in terms of the transforms. Texts dealing with empirical curve-fitting characteristically…

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