RMA background adjustment implementation in affy
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@mikko-korpela-1573
Last seen 10.3 years ago
Hello! There are some differences in the way the RMA background adjustment formula is presented in different documents, and the way it's implemented in the affy package. I wonder what causes the differences, and whether I should be worried about the RMA values produced by affy. The relevant part of the code, I think, is this (copy-paste from affy 1.9.6, same as in many previous versions of affy, at least in affy-1.5.8): --- void bg_adjust(double *PM,double *MM, double *param, int rows, int cols, int co$ int i; double a; for (i=0; i < rows; i++){ a = PM[column*rows + i] - param[1] - param[0]*param[2]*param[2]; PM[column*rows + i] = a + param[2] * phi(a/param[2])/Phi(a/param[2]); } } --- where the array "param" is as described by the following comment (also copy-paste): ** note we will assume that param[0] is alpha, param[1] is mu, param[2] is sigma The documents that do not agree with the above are builtinMethods.pdf (documentation of the affy package) and http://stat- www.berkeley.edu/users/bolstad/stuff/AffyLowLevelWorkshop_Poster_20$ In particular, some terms are missing from both the numerator and the denominator of the division operation in the affy implementation. The documents also do not agree with each other... Am I missing something simple here? I hope someone knows the right formula for the background adjustment and the reason why the implementation is different (it seems) from the documentation. Thanks, Mikko
affy affy • 869 views
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Ben Bolstad ★ 1.2k
@ben-bolstad-1494
Last seen 7.3 years ago
There is no particular discrepancy. Refering here to the document that you refer to: It turns out for practical values of the parameters for this data type, that the second term on the numerator is essentially 0 and the second term on the denominator is essentially 1. Thus the implementation ignores these terms. Ben On Wed, 2006-01-18 at 11:31 +0200, Mikko Korpela wrote: > Hello! > > There are some differences in the way the RMA background adjustment > formula is presented in different documents, and the way it's implemented > in the affy package. I wonder what causes the differences, and whether I > should be worried about the RMA values produced by affy. > > The relevant part of the code, I think, is this (copy-paste from affy > 1.9.6, same as in many previous versions of affy, at least in affy-1.5.8): > > --- > > void bg_adjust(double *PM,double *MM, double *param, int rows, int cols, > int co$ int i; > double a; > > for (i=0; i < rows; i++){ > a = PM[column*rows + i] - param[1] - param[0]*param[2]*param[2]; > PM[column*rows + i] = a + param[2] * phi(a/param[2])/Phi(a/param[2]); > } > > } > > --- > > where the array "param" is as described by the following comment (also > copy-paste): > > ** note we will assume that param[0] is alpha, param[1] is mu, param[2] > is sigma > > The documents that do not agree with the above are builtinMethods.pdf > (documentation of the affy package) and > http://stat- www.berkeley.edu/users/bolstad/stuff/AffyLowLevelWorkshop_Poster_20$ > > In particular, some terms are missing from both the numerator and the > denominator of the division operation in the affy implementation. The > documents also do not agree with each other... > > Am I missing something simple here? I hope someone knows the right > formula for the background adjustment and the reason why the > implementation is different (it seems) from the documentation. > > Thanks, > > Mikko > > _______________________________________________ > Bioconductor mailing list > Bioconductor at stat.math.ethz.ch > https://stat.ethz.ch/mailman/listinfo/bioconductor
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Affy users might want to check out some of the great talks and papers that Ben has posted on his webpage: http://stat-www.berkeley.edu/users/bolstad --Naomi At 08:51 AM 1/20/2006, Ben Bolstad wrote: >There is no particular discrepancy. Refering here to the document that >you refer to: It turns out for practical values of the parameters for >this data type, that the second term on the numerator is essentially 0 >and the second term on the denominator is essentially 1. Thus the >implementation ignores these terms. > >Ben > > >On Wed, 2006-01-18 at 11:31 +0200, Mikko Korpela wrote: > > Hello! > > > > There are some differences in the way the RMA background adjustment > > formula is presented in different documents, and the way it's implemented > > in the affy package. I wonder what causes the differences, and whether I > > should be worried about the RMA values produced by affy. > > > > The relevant part of the code, I think, is this (copy-paste from affy > > 1.9.6, same as in many previous versions of affy, at least in affy-1.5.8): > > > > --- > > > > void bg_adjust(double *PM,double *MM, double *param, int rows, int cols, > > int co$ int i; > > double a; > > > > for (i=0; i < rows; i++){ > > a = PM[column*rows + i] - param[1] - param[0]*param[2]*param[2]; > > PM[column*rows + i] = a + param[2] * phi(a/param[2])/Phi(a/param[2]); > > } > > > > } > > > > --- > > > > where the array "param" is as described by the following comment (also > > copy-paste): > > > > ** note we will assume that param[0] is alpha, param[1] is mu, param[2] > > is sigma > > > > The documents that do not agree with the above are builtinMethods.pdf > > (documentation of the affy package) and > > > http://stat- www.berkeley.edu/users/bolstad/stuff/AffyLowLevelWorkshop_Poster_20$ > > > > In particular, some terms are missing from both the numerator and the > > denominator of the division operation in the affy implementation. The > > documents also do not agree with each other... > > > > Am I missing something simple here? I hope someone knows the right > > formula for the background adjustment and the reason why the > > implementation is different (it seems) from the documentation. > > > > Thanks, > > > > Mikko > > > > _______________________________________________ > > Bioconductor mailing list > > Bioconductor at stat.math.ethz.ch > > https://stat.ethz.ch/mailman/listinfo/bioconductor > >_______________________________________________ >Bioconductor mailing list >Bioconductor at stat.math.ethz.ch >https://stat.ethz.ch/mailman/listinfo/bioconductor Naomi S. Altman 814-865-3791 (voice) Associate Professor Dept. of Statistics 814-863-7114 (fax) Penn State University 814-865-1348 (Statistics) University Park, PA 16802-2111
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