### Abstract

Current methods of free R factor cross-validation assume that the structure factors of the test and working sets are independent of one another. This assumption is only an approximation when the modeled structure occupies anything less than the full asymmetric unit. Through progressive elimination of reflections from the working set, starting with those expected to be most correlated to the test set, small biases in free R can be measured, presumably because of over-sampling of the Fourier transform owing to bulk solvent in the crystal. This level of bias may be of little practical importance, but it rises to significant levels with increasing non-crystallographic symmetry owing to wider correlations between structure factors than hitherto appreciated. In the presence of 15-fold non-crystallographic symmetry, with resolutions commonly attainable in macromolecular crystallography, it may not be possible to calculate an unbiased free R factor. Methods are developed for the calculation of reduced-bias free R factors through elimination of the strongest correlations between test and working sets. With 180-fold non-crystallographic symmetry they may not be an accurate indicator of absolute quality, but they do yield the correct optimal weighting for stereochemical restraints.

Original language | English (US) |
---|---|

Pages (from-to) | 227-238 |

Number of pages | 12 |

Journal | Acta Crystallographica Section D: Biological Crystallography |

Volume | 62 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2006 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Clinical Biochemistry
- Biochemistry, Genetics and Molecular Biology(all)
- Biochemistry
- Biophysics
- Condensed Matter Physics
- Structural Biology

### Cite this

*Acta Crystallographica Section D: Biological Crystallography*,

*62*(3), 227-238. https://doi.org/10.1107/S0907444905040680

**Bias in cross-validated free R factors : Mitigation of the effects of non-crystallographic symmetry.** / Fabiola, Felcy; Korostelev, Andrei; Chapman, Michael.

Research output: Contribution to journal › Article

*Acta Crystallographica Section D: Biological Crystallography*, vol. 62, no. 3, pp. 227-238. https://doi.org/10.1107/S0907444905040680

}

TY - JOUR

T1 - Bias in cross-validated free R factors

T2 - Mitigation of the effects of non-crystallographic symmetry

AU - Fabiola, Felcy

AU - Korostelev, Andrei

AU - Chapman, Michael

PY - 2006/3

Y1 - 2006/3

N2 - Current methods of free R factor cross-validation assume that the structure factors of the test and working sets are independent of one another. This assumption is only an approximation when the modeled structure occupies anything less than the full asymmetric unit. Through progressive elimination of reflections from the working set, starting with those expected to be most correlated to the test set, small biases in free R can be measured, presumably because of over-sampling of the Fourier transform owing to bulk solvent in the crystal. This level of bias may be of little practical importance, but it rises to significant levels with increasing non-crystallographic symmetry owing to wider correlations between structure factors than hitherto appreciated. In the presence of 15-fold non-crystallographic symmetry, with resolutions commonly attainable in macromolecular crystallography, it may not be possible to calculate an unbiased free R factor. Methods are developed for the calculation of reduced-bias free R factors through elimination of the strongest correlations between test and working sets. With 180-fold non-crystallographic symmetry they may not be an accurate indicator of absolute quality, but they do yield the correct optimal weighting for stereochemical restraints.

AB - Current methods of free R factor cross-validation assume that the structure factors of the test and working sets are independent of one another. This assumption is only an approximation when the modeled structure occupies anything less than the full asymmetric unit. Through progressive elimination of reflections from the working set, starting with those expected to be most correlated to the test set, small biases in free R can be measured, presumably because of over-sampling of the Fourier transform owing to bulk solvent in the crystal. This level of bias may be of little practical importance, but it rises to significant levels with increasing non-crystallographic symmetry owing to wider correlations between structure factors than hitherto appreciated. In the presence of 15-fold non-crystallographic symmetry, with resolutions commonly attainable in macromolecular crystallography, it may not be possible to calculate an unbiased free R factor. Methods are developed for the calculation of reduced-bias free R factors through elimination of the strongest correlations between test and working sets. With 180-fold non-crystallographic symmetry they may not be an accurate indicator of absolute quality, but they do yield the correct optimal weighting for stereochemical restraints.

UR - http://www.scopus.com/inward/record.url?scp=33646583492&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646583492&partnerID=8YFLogxK

U2 - 10.1107/S0907444905040680

DO - 10.1107/S0907444905040680

M3 - Article

C2 - 16510969

AN - SCOPUS:33646583492

VL - 62

SP - 227

EP - 238

JO - Acta Crystallographica Section D: Structural Biology

JF - Acta Crystallographica Section D: Structural Biology

SN - 0907-4449

IS - 3

ER -