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作为拟合优度检验工具的累积卡方统计量AI 解读

The cumulative chi-squared statistic in the one-way analysis of variance model is characterized as the weighted sum of independent one degree of freedom chi-squared random variables, which are linear, quadratic, and so on, components in the sense of Čebyšev's orthogonal polynomials for finite points. This suggests that the cumulative chi-squared should be an appropriate goodness-of-fit test statistic for a hypothesized model against a systematic departure that is mainly but…

作为拟合优度检验工具的累积卡方统计量AI 解读

The cumulative chi-squared statistic in the one-way analysis of variance model is characterized as the weighted sum of independent one degree of freedom chi-squared random variables, which are linear, quadratic, and so on, components in the sense of Čebyšev's orthogonal polynomials for finite points. This suggests that the cumulative chi-squared should be an appropriate goodness-of-fit test statistic for a hypothesized model against a systematic departure that is mainly but…

用累积有效得分检验离散模型中的有序备择AI 解读

Statistics based on cumulative efficient scores are introduced for testing ordered alternatives in various discrete models. The procedure is regarded as a natural extension of a normal complete class lemma for multidimensional one-sided alternatives. Local asymptotic powers of the proposed statistics are given.

用累积有效得分检验离散模型中的有序备择AI 解读

Statistics based on cumulative efficient scores are introduced for testing ordered alternatives in various discrete models. The procedure is regarded as a natural extension of a normal complete class lemma for multidimensional one-sided alternatives. Local asymptotic powers of the proposed statistics are given.

交互效应的有序备择假设AI 解读

The problem of testing hypotheses against ordered alternatives for treatment effects in a one-way layout is discussed by many authors; see, for example, Bartholomew (1959a, b; 1961). For interaction effects in a two-way layout, it is required to specify the ordered alternatives appropriate to practical situations and then to establish the test procedures. James (1961) defined an ordered alternative for a simple case. In the present paper several types of ordered alternatives…

交互效应的有序备择假设AI 解读

The problem of testing hypotheses against ordered alternatives for treatment effects in a one-way layout is discussed by many authors; see, for example, Bartholomew (1959a, b; 1961). For interaction effects in a two-way layout, it is required to specify the ordered alternatives appropriate to practical situations and then to establish the test procedures. James (1961) defined an ordered alternative for a simple case. In the present paper several types of ordered alternatives…