Power Surfaces


Mary C. Phipps


Research Report 96-17
Date: April 1996


The link between alpha-level tests and p-values is stated in terms of a power surface and is demonstrated visually using tests based on continuous and discrete test statistics. Cross-sections of the power surface in one plane result in the usual power curves, while cross-sections in another plane provide a useful empirical tool for evaluating tests. Examples are given using Monte-Carlo simulation and bootstrap techniques.

Key phrases

inference. power, p-value. bootstrap. simulation.

AMS Subject Classification (1991)

Primary: 62F03
Secondary: 62G09


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Sydney Mathematics and Statistics