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Tests for departure from normality: Comparison of powers
偏离正态性的检验：功效比较
SUMMARY In the present paper we present results of a large scale simulation study of the power of various tests of normality. We follow the procedure adopted by Shapiro, Wilk & Chen of applying a considerable variety of tests to samples drawn from a wide range of nonnormal populations. We, however, consider some additional tests, emphasize the difference between 'omnibus' and 'directional' tests and show the difficulty of applying tests based on ordered observations, such as…
Remarks on the Distribution of in Sampling from a Normal Mixture, and Normal Type A Distribution
正态混合与正态 A 型分布抽样分布的讨论（统计量缺失）
The asymptotic method described in an earlier article (Bowman and Shenton [2]) is applied to derive the power of the test of normality against skewed alternatives. In particular, normal mixtures of two components and Type A distributions, each depending on four parameters, are considered. Comparisons of the assessment of percentage points of using Cornish-Fisher expansions based on the normal and Monte Carlo simulations are given.
Remarks on the Distribution of √b 1 in Sampling from a Normal Mixture, and Normal Type A Distribution
Space of Solutions for a Normal Mixture
Space of solutions for a normal mixture
双成分正态混合模型的解空间
The space of acceptable solutions for the sum of two normal components involving five parameters, with means and variances different, is described in terms of the three standard cumulants, k3, k4 and k5. It is assumed that the mixture is being fitted by moments to a given theoretical distribution. A number of sections for k5 constant are given.
Sample Size Requirements: Randomized Block Designs
随机区组设计的样本量要求
Techniques described in an earlier paper (Kastenbaum, Hoel Bowman, 1970), are used to generate tables of sample size requirements for testing treatment effects in a randomized block design. Maximum values of the standardized range of the treatment means are tabulated for k = 2, 3, 4, 5, 6 treatments; b = 2, 3, 4, 5 blocks; 1 ≤ N ≤ 5 observations per cell; and α = 0.01, 0.05 and β = 0.005, 0.01, 0.05, 0.1, 0.2, 0.3 levels of risk. To simplify the determination of sample sizes…
Sample size requirements: randomized block designs
随机区组设计的样本量要求
Techniques described in an earlier paper (Kastenbaum, Hoel Bowman, 1970), are used to generate tables of sample size requirements for testing treatment effects in a randomized block design. Maximum values of the standardized range of the treatment means are tabulated for k = 2, 3, 4, 5, 6 treatments; b = 2, 3, 4, 5 blocks; 1 ≤ N ≤ 5 observations per cell; and α = 0.01, 0.05 and β = 0.005, 0.01, 0.05, 0.1, 0.2, 0.3 levels of risk. To simplify the determination of sample sizes…