摘要:

A simple technique useful in iterative model-building is described. In this a statistical analysis is applied to the estimated parameters rather than to the observations directly. This mode of procedure pinpoints the source and nature of possible inadequacies and these, interacting with the experimenter's special knowledge of the problem, can suggest what modifications are necessary for improvement. The cycle may be repeated till an adequate model, which should of course be checked by additional critical experiments, is found.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490015

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

An attempt is made to formulate a specified type of “bulk sampling” as an abstract field for general study. Recommendations are made for definitions of terms. Populations involved are described and means are defined. The problems of randomness, bias and blending are discussed. The formulation of theoretical variance models and their use in attaining optimum sampling plans are illustrated with particular reference to fertilizer and coal. The need for large amounts of empirical research and the desirability of current controls are indicated.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490016

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

In 1957 R. C. Tomlinson [1] introduced a sequential test of a parameter of location that was both simple and efficient. The purpose of this paper is to further examine Tomlinson's plan and to discuss a few other related sequential plans which are also simple and effective. Some new plans are described which are alternatives to existing plans. These plans have some intrinsic interest, and will have their unique uses. Suggestions are made to provide the reader with a basis for an intelligent choice.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490017

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

This paper discusses a class of four factor designs in which the four factors are atm,n,pandqlevels respectively, and in which the total number of runs is less thanN=mnpq. All interactions are assumed nil.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490018

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490019

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

A technique is developed to obtain optimal accelerated life designs for estimating the parameters describing the mean lifetime of a device under a standard environment. Five examples involving variations of models and experimental design are studied. An exponential distribution of lifetimes is assumed in each of the five problems. The general approach, applyin g a method of Elfving, is applicable to a large variety of models.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490020

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

This paper considers the problem of estimating Poisson probabilities or relative frequencies and some extensions of that problem. It is shown how minimum variance unbiased estimators based on a simple random sample of 72 observations on a Poisson process may be easily developed. Variances of the estimators and estimators for their variances are derived. Comparisons with maximum likelihood estimators and with distribution-free relative frequency estimators are made and illustrated with two examples.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490021

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490022

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

摘要:

Error analysis in numerical computation is as important as the answer itself. Indeed, sometimes error analysis can show that the desired numerical result is insufficiently determined by the original data, and there is no answer. Thii phenomenon is fairly well known in calculation of deterministic problems. In statistical analyses, the situation is clouded by the presence of sampling error. An example is given, illustrating the pitfalls involved in a statistical analysis of measured data of low precision.

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490023

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1962.10490024

出版商:Taylor & Francis Group    

年代:1962

数据来源: Taylor