日本統計学会誌

日本統計学会会長就任に際して

山田勇

1976 年 6 巻 2 号 p. 1-4
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_1

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A LOGISTIC REGRESSION ANALYSIS OF BIVARIATE BINARY DATA: A METHOD OF ASSESSING THE ASSOCIATION BETWEEN A PAIR OF BINARY RESPONSES

Koichi Ito, Akio Kudô

1976 年 6 巻 2 号 p. 5-15
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_5

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GRAPHICAL REPRESENTATION OF CORRELATION ANALYSIS OF ORDERED DATA BY LINKED VECTOR PATTERN

Masaaki Taguri, Makoto Hiramatsu, Tomoyoshi Kittaka, Kazumasa Wakimoto

1976 年 6 巻 2 号 p. 17-25
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_17

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In this paper, we propose a new method of simultaneous graphical representation of certain correlations between objective variable and several explanatory variables which is done through visual processing of linked vector patterns corresponding to the objective variable and each of the explanatory variables. Merits of the method lie in the following points: (1) It is very efficient when correlation changes in part. (2) Besides whole correlation can be grasped, it makes possible to examine individual data in detail. (3) It is possible to express correlations of several parts of variables on the same graph. Moreover, two measures are defined to represent the degree of correlation relation quantitatively, which highly correlate with the traditional correlation coefficients.

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COVARIANCE MATRICES OF THE ESTIMATES FOR BALANCED FRACTIONAL 2^m FACTORIAL DESIGNS OF RESOLUTION 2l+1

Teruhiro Shirakura, Masahide Kuwada

1976 年 6 巻 2 号 p. 27-31
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_27

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The covariance matrix of the estimates of the νl(=1+_??_+…+_??_) effects for a balanced fractional 2^m factorial design of resolution 2l+1 has at most _??_ distinct elements. The purpose of this paper is to obtain an explicit expression for these elements. As an example, the case of l=3 is treated.

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PERTURBATION OF A MATRIX FUNCTION AND ITS APPLICATION TO MULTIVARIATE ANALYSIS

Masashi Okamoto, Yasunori Fujikoshi

1976 年 6 巻 2 号 p. 33-37
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_33

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This paper gives an explicit expression for the first-order perturbation for a certain matrix (-valued) function of a real symmetric matrix. As an application the asymptotic distribution of a matrix function of a Wishart matrix as the number of degrees of freedom tends to infinity is obtained.

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回帰係数の推定と調整

Ridge推定量に対する考察

後藤昌司

1976 年 6 巻 2 号 p. 39-61
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_39

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多変量解析における検定統計量の一般分布にたいする漸近展開

最近の発展にみられる諸方法の概説 II

塩谷実

1976 年 6 巻 2 号 p. 63-87
発行日: 1976年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.6.2_63

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This is a continuation of the survey paper [38] by the present author. In this Part II, the following methods are reviewed: (3) method based on the system of partial differential equations satisfied by the hypergeometric functions, (4) method by an expansion of test statistics in terms of normal variates, and (5) method based on the representation of an orthogonal matrix by a skew symmetric matrix. Finally some comments are given on what kinds of statistical works are to be done in future based on the asymptotic expansions obtained by the methods explained in this paper.

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