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I would appreciate it if someone could clear-up for me what the "power of a statistical test" really means. I have been looking at the excellent book "Goodness-of-Fit Techniques" by D'Agostino and Stephens where power is an important topic. My understanding was that the power function must be between 0 and 1; but, in this book results for "Power Studies" are not in this range. Example, Table 10.6 on pp. 452-453 of this book gives power studies results (generated by Stephens). It is stated on p. 451 that " ... has conducted a large power study on the various procedures for H_0, using Monte Carlo samples..." I thought a power analysis was about H_1 (the alternative hypothesis). How were these entries in Table 10.6 actually generated? I seem to missing something important in their use of "power". --Thanks, V. Stokes