power functionn.

Brit.

/ˈpaʊə ˌfʌŋ(k)ʃn/, U.S.

/ˈpaʊ(ə)r ˌfəŋ(k)ʃ(ə)n/

Origin: Formed within English, by compounding. Etymons: power n.¹, function n.

Etymology: < power n.¹ + function n.

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).

单词	power function
释义	power functionn. Brit. /ˈpaʊə ˌfʌŋ(k)ʃn/, U.S. /ˈpaʊ(ə)r ˌfəŋ(k)ʃ(ə)n/ Origin: Formed within English, by compounding. Etymons: power n.¹, function n. Etymology: < power n.¹ + function n. 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). < n.1914
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