ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501041

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501042

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501043

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501044

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501045

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501046

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

The purpose of the paper is to illustrate a “give and take” type of interaction between the frequentist theory of probability and statistics, on the one hand, and research in science, on the other. Invariably, research in science involves some observationsxand the unknown “true” state of nature σ. Quite often, replication of the experiments reveals considerable variation inx, indicating that no mathematical treatment of the problem is possible without the assumption thatxis a sample value of a random variableX, treated in terms of frequentist theory of probability. As to the true state of nature, σ, situations vary. Indeed, there are cases where it appears natural to consider that σ is selected at random out of a certain known set Σ, with either known or unknown probability law. Section 2 lists three typical examples in which the frequentist theory of probability can “give” something to science. In each example, however, the assumption of the randomness of σ appears extraneous. Section 3 describes another example of research in science, again with a non-random Σ, which happened to “give” something to the frequentist theory of statistics. The motivation to reduce the frequency of erroneous conclusions in the general circumstances of the biological study had led to considering the possibility that a certain derivative may fail to exist. This created a problem of testing (Section 4) which does not appear to have been considered. A solution of the problem, in the form of optimal symmetric (Cα) tests, is given in Section 5.

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501047

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

The use of observations of a random function in space (random field) as independent variables in regression is considered including the numerical aspects. Details are presented for obtaining a numerical approximation to a Karhunen-Loève expansion when the random function is observed at a large number of points. The procedure involves a two stage modified principal component analysis. The dependent variable is then regressed on the principal components.

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501048

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

A mathematical model is developed to provide a theoretical framework for a computer-oriented solution to the problem of recognizing those records in two files which represent identical persons, objects or events (said to bematched).

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501049

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

A statistical model is presented for describing the distribution of book uses in a research library. This model is used to attack the problem of book storage in a research library. A rule which says that a book goes to the storage collection if it is not used forkconsecutive years after its acquisition in the library is studied. A similar rule for transferring active books from the storage to the active collection is also examined. Examples are provided to illustrate some of the results.

ISSN:0162-1459    

DOI:10.1080/01621459.1969.10501050

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor