| 单词 | power function | 
| 释义 | power functionn. 1.  Mathematics. A function which relates one quantity to an exponential power of another quantity; a function of the form y = axn. ΚΠ 1914    C. S. Slichter Elem. Math. Anal. viii. 265  				The characteristic property of the power function..y=axn is that as x changes by a constant factor, y changes by a constant factor also. 1953    W. P. D. Wightman Growth Sci. Ideas ix. 97  				Newton's youthful discovery of the possibility of expanding a binomial power function into a series of separate terms. 1989    Jrnl. Zool. 219 146  				If the weight of chelonians is a power function of carapace length, then the allometric slope between body weight and egg weight will be some fraction of 0.84. 1997    J. C. Baird Sensation & Judgement iii. 49  				The exponent of the power function for loudness should depend on the tonal frequency at which it is assessed.  2.  Statistics. The power (power n.1 18) of a statistical test as a function of the difference between the means of two sample populations tested. ΚΠ 1937    Ann. Math. Statistics 8 195  				Critical Regions sufficiently satisfying the above requirements can often be obtained by stipulating that the first derivative of the power function with respect to Θ, the parameter under consideration, shall be zero at Θ = Θ0, and the second shall be a maximum there. 1962    Jrnl. Royal Statist. Soc. A. 125 331  				It is standard teaching, to warn against merely reporting a result as ‘not significant’ without giving the power function of the test used. 1980    W. J. Conover Pract. Nonparametric Statist. 		(ed. 2)	 ii. 84  				In that sense the power function gives more than just the power: it gives the probability of rejecting H0 whether or not H0 is true. 2004    Jrnl. Quality Technol. 		(Nexis)	 36 2  				The power functions of the tests based on the two estimators are used to determine the minimum number of subsamples needed to meet a threshold requirement that power exceeds 0.80. This is a new entry (OED Third Edition, December 2006; most recently modified version published online March 2022). <  | 
	
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