RELAXING ASSUMPTIONS IN THE ONE SAMPLE t-TEST

DOI10.1111/j.1467-842X.1980.tb01161.xzbMath0463.62032OpenAlexW1988137022MaRDI QIDQ3914226

Noel Cressie

Publication date: 1980

Published in: Australian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-842x.1980.tb01161.x

zbMATH Keywords

heavy-tailednumerical tablesnon normalityone sample t-test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Martingales with discrete parameter (60G42) Parametric hypothesis testing (62F03) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (11)

Exact convergence rate and leading term in central limit theorem for Student's \(t\) statistic. ⋮ Robustness of the t and U tests under combined assumption violations ⋮ A flexible parametric density estimator for multimodal distributions of test statistics ⋮ A tabular method for correcting skewness ⋮ On the misspecification of a lognormal distribution ⋮ One-sided confidence intervals for population variances of skewed distributions ⋮ Confidence intervals for the ratio of two variances ⋮ A coverage probability of bootstrap-t confidence interval for the variance ⋮ One-Sample One-Sided StudentT-Test Under Contaminants ⋮ Type I and II error rates of Bayesian two-sample tests under preliminary assessment of normality in balanced and unbalanced designs and its influence on the reproducibility of medical research ⋮ Accurate confidence intervals in regression analyses of non-normal data

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