ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00131.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY

摘要:

AbstractA new method is described of drawing, without replacement, two sample units per stratum from any population. The method is developed from a consideration of the asymptotic properties of systematic sampling with unequal probabilities, as the sizes of the population units tend to zero. The essential properties of this method are very easily analysed. They also converge, over a large number of strata, to those of systematic sampling from the same strata with their population units arranged in random order. In proving this, the assumption is made that the underlying population is of the type to which it is appropriate to apply ratio estimation. The sampling method described is, however, simple enough to commend itself as an alternative to systematic sampling when the underlying population is not of this type. Consideration is given to the case where the sizes of some of the population units exceed the skip interval.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00132.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00133.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY

摘要:

SummaryThe note gives the results of a study carried out to find the optimum points of stratification (OPS) for estimating the population means of some standard distributions. The distributions considered here are the normal and the set of chi‐square distributions. The OPS for the various gamma distributions can be easily derived from the known OPS of the corresponding chi‐square distributions. The OPS depend on the type of allocation envisaged. In this note attention has been confined to the proportional, equal, and optimum allocations.Tables of OPS are given for the distributions and allocations mentioned above. Some other interesting results follow:(i) Equalization of stratum totals as suggested by Ransen, Hurwitz and Madow (1953) does not lead to OPS for any of the populations considered.(ii) Equalization of {f(x)}½dx gives an excellent approximabioii to the OPS for both equal and optimum allocations.(iii) The OPS for equal and optimum allocations almost coincide. To put in other words, if strata are defined by OPS optimum allocation differs only slightly from equal allocation.New rules are suggested for the family of distributions considered in this paper for all the three types of allocat

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00134.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00135.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00136.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY

摘要:

Book reviewed in this article:Berger, Joseph; Cohen, Bernard P.; Snell, J. Laurie; and Zelditch, Morris, Jnr.Types of Formalization in Small‐Group Research.Chakrabarti, M. C.Mathematics of Design and Analysis of Experiments.Weiler, H., and Weiler, Gladys E.Very Elementary Statistics.Mulhall, H.Elementary Statistics.Decisions, Values and Group

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1963.tb00137.x

出版商:Blackwell Publishing Ltd    

年代:1963

数据来源: WILEY