# Power Surfaces

## Author

**Mary C. Phipps**

## Status

Research Report 96-17

Date: April 1996

## Abstract

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