ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00351.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY

摘要:

Summary (The function of econometrics in industrial and commercial management)A mere theoretical discussion about the nature of econometrics and an analysis of the application in industrial and commercial management, specially from a statistical point of vie

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00352.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY

摘要:

Summary (A systematic comparison of the statistical properties of present‐day sampling schemes).A survey of various sampling schemes, carried out with the aid of the, random walk diagram, ‘leads to the conception that it must be possible to effect the same degree of inspection by the application of different schemes. The degree of inspection of a scheme is contained in its, operating characteristic’, which is specified by two constants viz:its centre q0, for which P = 1/2, and its slope s in this point, defined bys= ‐(dP/dq)q=q0.It is shown that, if the operating characteristics of two different sampling schemes possess the same values of q0and s, the two characteristics are almost completely coincident. Thus two sampling schemes having the same q0and s will give identical inspection performances, and are consequently defined as, equivalent. ‘And by comparing the average sample sizes of equivalent schemes we may compute their relative efficiency’. For each set of values q0and s it is possible to construct a single sampling scheme possessing these characteristics. Hence to any scheme whatever there will correspond an, equivalent single sampling scheme, and, by adopting the single sampling scheme as a standard of reference, we may arrive at a general definition of efficiency.By the introduction of q0and s the formulae relating to the sequential sampling scheme are greatly simplified, and for each set of values q0and s there is one corresponding sequential scheme.By discussing a particular example of the double sampling scheme it is shown that the methods developed in this paper can successfully be applied to a systematic treatment of the variety of schemes now

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00353.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY

摘要:

Summary (A necessary correction of the control chart limits for averages of samples in the case of stratified sampling).Application of stratified sampling results in smaller fluctuations of sampling than where the same total number of individuals is drawn at random from the superposed strata.The proportion of the standard errors of the averages obtained by these two sampling methods may be expressed by a factor ϕ (o ≤ϕ≤ 1). The probability limits, between which the random sampling results would be fluctuating normally, should be corrected according to this factor.A few properties of ϕ are discussed. This is graphically illustrated. Remarks have been added about the relation between the shape of the population of the sampling averages and the population from which the individuals are drawn, and about the difficulties which arise when the populations are non

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00354.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY

摘要:

Summary (The hyperbolic law of errors).In the first chapter some general questions concerning the error distribution are discussed and the deduction of the hyperbolic error distribution is given.Next the properties of this distribution are shown and some fundamental data (standard deviation etc.) are determined.Finally the hyperbolic error distribution is compared with the Gaussian distribution and tested in practic

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00355.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY

摘要:

Summary (The principles of the Analysis of Regression with an application to dosage mortality data).The principles of the analysis of regression are explained to research workers. For advanced statisticians a mathematical treatment is given in the appendix (in English), which follows closely the practical procedure and differs markedly from those given by Kendall or Wilks. The suite of a previous article on dosage mortality data (Statistica1: 257) isgiven by way of exampl

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00356.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1948.tb00358.x

出版商:Blackwell Publishing Ltd    

年代:1948

数据来源: WILEY