DOUBLE SYMMETRY MODEL AND ITS DECOMPOSITION IN A SQUARE CONTINGENCY TABLE
DOUBLE SYMMETRY MODEL AND ITS DECOMPOSITION IN A SQUARE CONTINGENCY TABLE
复制标题
双对称模型及其在方形列联表中的分解
DOI：
10.11329/jjss1970.15.17
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
S. Tomizawa
中科院分区：
文献类型：
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作者：
S. Tomizawa
HP下的概率关于平方连续表中的中心点是对称的。在本文的第二节中，我们将介绍一个新的模型，使得HS和HP都在平方列联表中成立。该模型被称为双对称模型。我们将给出一个定理，将模型分解成两个模型，使模型的自由度等于分解后的模型的自由度之和。此外，在第三节中，我们给出了分解模型的拟合优度检验，在第四节中，我们处理了一个例子。
probabilities under HP are symmetric with respect to the center point in a square con tingency table. In Section 2 of this paper we shall introduce a new model such that both HS and H.P hold in a square contingency table. The model is called the double symmetry model. We shall give a theorem which decomposes the model into two models so that the degrees of freedom of the model is equal to the sum of the degrees of freedom for the decomposed models. Moreover, in Section 3 we give a goodness of fit test for the decomposed models and in Section 4 we deal with an example.