The power of the circular cone test: A noncentral chi-bar-squared distribution

DOI10.2307/3315418zbMath0695.62132OpenAlexW2154254690MaRDI QIDQ3471470

Carolyn Pillers, Tim Robertson, James Sconing, Mark Conaway

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/3315418

zbMATH Keywords

order-restricted inferencecircular conesnull distributionalternative hypothesismean vector of a multivariate normal distributioncentral formlikelihood-ratio test statisticnoncentral chi-bar-squared distributionnoncentral formorder-restricted testing problem

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Exact distribution theory in statistics (62E15)

Related Items (7)

A circular‐cone test for testing homogeneity against a simple tree order ⋮ Stochastic monotonicity of a distribution family associated with matrix projections and its application ⋮ A pseudo restricted MLE under multivariate order restrictions and its algorithm ⋮ An algorithm for a pseudo RMLE under simple tree multivariate order restriction ⋮ A test for homogeneity of ordered means of inverse Gaussian populations ⋮ Testing joint hypotheses when one of the alternatives is one-sided ⋮ Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions

Cites Work

• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES
• One-Sided Testing Problems in Multivariate Analysis
• A multivariate analogue of the one-sided test

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