<学術雑誌論文>
A Bivariate Analogue of Pooling of Data

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概要 This paper attempts to give some extensions by the consideration of pooling data of a bivariate population, and shows us certain formulae and some properties of the inference procedures. The principle... and methodological aspects of pooling data used in this paper have been discussed by Bancroft (1), Kitagawa (1) Bennett (1) and various other authors. And recently Asano (1), one of the authors of this paper, proposed also seven types of the inference procedures to be of use in practices on the background of biometrical and pharmaceutical researches. These have been, however, mainly developed in case when the observations were obtained from the univariate populations, and, so far as the authors of this paper are awake to, the results and the properties caused by pooling data have not been given in case when the observations were drawn from certain multivariate populations. Under the consideration of certain practical necessity, the inference problems through this paper are discussed for bivariate population. And here the authors of this paper shall note that the inferences of a mean vector for more general multivariate can be also expressed by the similar formulae as Section 2 and that while the inferences of a generalized variance and a variance-covariance matrix cannot be expressed explicitly by the similar formulae because of the complexity of the fundamental distribution of the statistic considered for us, but may be able to express by similar properties as Section 3 and 4. In conclusion, the authors wish to express their heartiest thanks to Prof. T. Kitagawa for his kind advice and valuable suggestions and criticism in connection with this work.続きを見る

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登録日 2009.04.22
更新日 2020.05.11

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