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acepack - MaRDI portal

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acepack (Q44135)

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ACE and AVAS for Selecting Multiple Regression Transformations
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English
acepack
ACE and AVAS for Selecting Multiple Regression Transformations

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    1.4.1
    29 October 2016
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    1.1
    25 March 1998
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    1.2-1
    19 August 1999
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    1.2-2
    19 December 2000
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    1.3-2.1
    14 April 2004
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    1.3-2.2
    12 August 2005
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    1.3-2.3
    19 January 2010
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    1.3-2
    21 May 2002
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    1.3-3.0
    5 July 2010
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    1.3-3.1
    6 April 2012
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    1.3-3.2
    30 October 2012
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    1.3-3.3
    24 November 2014
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    1.3
    15 May 2001
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    1.4.0
    20 October 2016
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    1.4.2
    22 August 2023
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    22 August 2023
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    Two nonparametric methods for multiple regression transform selection are provided. The first, Alternative Conditional Expectations (ACE), is an algorithm to find the fixed point of maximal correlation, i.e. it finds a set of transformed response variables that maximizes R^2 using smoothing functions [see Breiman, L., and J.H. Friedman. 1985. "Estimating Optimal Transformations for Multiple Regression and Correlation". Journal of the American Statistical Association. 80:580-598. <doi:10.1080/01621459.1985.10478157>]. Also included is the Additivity Variance Stabilization (AVAS) method which works better than ACE when correlation is low [see Tibshirani, R.. 1986. "Estimating Transformations for Regression via Additivity and Variance Stabilization". Journal of the American Statistical Association. 83:394-405. <doi:10.1080/01621459.1988.10478610>]. A good introduction to these two methods is in chapter 16 of Frank Harrel's "Regression Modeling Strategies" in the Springer Series in Statistics.
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