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LAMST与列联表无三因素交互作用假设AI 解读

A new class of tests is presented for testing the hypothesis of no second order interaction in three-way contingency tables. This hypothesis is expressed first in the form of linear contrasts in logarithms of the parameters of a multinomial experiment and the test is based on the general theory of locally asymptotically most stringent tests. Specific test criteria are then given for testing no second order interaction in 2 × 2 × 2, 2 × 2 × K and I × J × K contingency tables.…

LAMST 与列联表的无三因素交互假设AI 解读

A new class of tests is presented for testing the hypothesis of no second order interaction in three-way contingency tables. This hypothesis is expressed first in the form of linear contrasts in logarithms of the parameters of a multinomial experiment and the test is based on the general theory of locally asymptotically most stringent tests. Specific test criteria are then given for testing no second order interaction in 2 × 2 × 2, 2 × 2 × K and I × J × K contingency tables.…

局部渐近最严检验与线性假设的拉格朗日乘子检验AI 解读

Neyman (1959) has defined a locally asymptotically most powerful test, called optimal asymptotic test, of composite statistical hypotheses. This test is particularly applicable when either the standard methods of testing are not available or when they are too difficult to compute. However, Neyman (1959) restricted his studies to the case of testing a one-dimensional parameter. In this paper his results are generalized to the case of testing a k-dimensional parameter. This…

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