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二元学生化最大与最小绝对值检验的功效AI 解读

Let t i = X i/s, i = 1, 2 be noncentral Student t-variates with noncentrality parameters δi, where x 1, x 2 and s are independent. The simultaneous distribution of t 1 and t 2 is studied and the power function of the studentized maximum and minimum modulus tests are tabulated for significance level 0.05, degrees of freedom 1, 2, 5, 10, 20, 50, ∞ and δ1, δ2 =0(1)5. Asymptotically exact approximations to these power functions are discussed. The marginal power of the maximum…

二元学生化最大模与最小模检验的功效AI 解读

Let t i = X i/s, i = 1, 2 be noncentral Student t-variates with noncentrality parameters δi, where x 1, x 2 and s are independent. The simultaneous distribution of t 1 and t 2 is studied and the power function of the studentized maximum and minimum modulus tests are tabulated for significance level 0.05, degrees of freedom 1, 2, 5, 10, 20, 50, ∞ and δ1, δ2 =0(1)5. Asymptotically exact approximations to these power functions are discussed. The marginal power of the maximum…

双变量 Student t 检验的临界值AI 解读

Let t 1 and t 12 be two independent normally distributed random variables with zero means and equal variances, each divided by a common estimate of the standard deviations. The joint distribution of t 1, t 2 is a bivariate Student t-distribution. The integral of the joint frequency function over certain types of critical regions in the (t 1, t 2)-plane may be written as the linear combination of two definite integrals which are easy to compute. Critical values for five…

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