摘要:

In stratified random sampling when the same number of units is to be selected from all strata the efficiency of strata of equal aggregate size is tested on four theoretical distributions. It is found that the principle of equipartition produces poor boundaries when the number of strata is large. An explanation is given why it is so.

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482173

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

The purpose of this paper is to present a method of finding the exact sampling probabilities of a class of statistics widely used in the analysis of frequency data. A two-variable generating function is described from which the exact sampling probabilities of statistics of the form

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482174

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

A unified finite population theory is developed for composite estimators of both the current level and change in level between consecutive occasions when a rotation sample design is employed. Explicit variance functions are given under the assumption that exponential and arithmetic correlation patterns hold over time for the characteristics of interest. Optimum values of the weight coefficients in the composite estimators, the optimum number of consecutive visits by a sampling unit, and the gain in efficiency relative to the use of simple estimators are all determined numerically. Moderate gains for level and appreciable gains for change are achieved when the correlation is high.

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482175

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

LetY1, ···,Ymbe independent, each having distribution

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482176

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

Capacity is defined as that output which can be produced at minimum average total cost, given the existing stock of plant and equipment and existing techniques and factor prices. The level of capacity is inferred from observed investment behavior. Regression methods are used to estimate a relationship between desired capital stock and several explanatory variables including output, relative prices and time, on the hypothesis that net investment occurs in proportion to the excess of desired over actual stock. The relationship between desired capital stock and output is then inverted to yield a corresponding relationship between capacity and actual capital stock for given prices and techniques. The method is used to calculate aggregate capacity annually for 1949–60 and the properties of the resulting estimates are discussed. New estimates of capacity and its utilization in manufacturing are also presented and compared with those of other investigators.

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482177

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

A two-step procedure is given to find the sample size necessary to estimate the parameter θ in the uniform density withindunits of the true value. It is demonstrated that an exact solution for all values of θ doesn't exist based on the maximum likelihood estimator. A table is presented which can be used to find the second sample size,n, such thatP[|yn− θ| <d] > 1− α is true, whereYnis the largest observation in the second sample, for 1 − α = .90, .95, .99 and the preliminary sample sizem= 2, 5 (5) 30 (10) 50 (25) 100. Also a table of comparisons between the expected sample size in this paper and two other solutions is given.

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482178

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

This paper presents a unified approach to the distributions of the product ofk(≥2) maximum values, and the product ofksample ranges from rectangular populations, both for equal and unequal sample sizes. The results obtained are generalisations based on some earlier work of Rider. It is proved that in all cases the distributions can be conveniently transformed to χ2's by the use of a well-known logarithmic transformation. It is also suggested that these results might be of use in quality control procedures in high precision production engineering with close specification limits.

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482179

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

It is sometimes desired to fit a second degree polynomialE(y|x) = α + βx+ γx2to a set of data so that its stationary point will fall in a given region. Methods are shown to calculatea, b, c, the least squares estimates of the regression coefficients α, β, and γ. An example is given in which this theory is applied to fit a parabolic regression to a set of data so that in a given contiguous and finite region of the independent variable, the regression function is strictly increasing and concave upwards.

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482180

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor

摘要:

Handbook of Mathematical Psychology, Volume I.R. Duncan Luce, Robert R. Bush, and Eugene Galanter, Editors. New York: John Wiley and Sons, Inc., 1963. Pp. xiii, 491. $10.50. Reviewed by W. K. Estes

ISSN:0162-1459    

DOI:10.1080/01621459.1964.10482181

出版商:Taylor & Francis Group    

年代:1964

数据来源: Taylor