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Statistical significance tests
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, ch. 8.4, pp. 702-706 [ doi:10.1107/97809553602060000612 ]
... be an excellent approximation for a nonlinear model. References Cramér, H. (1951). Mathematical methods of statistics. Princeton, NJ: Princeton University Press. Draper, N. & Smith, H. (1981). Applied regression analysis. New York: John Wiley. Fedorov ... Studden & E. M. Klimko. New York: Academic Press. Hamilton, W. C. (1964). Statistics in physical science: estimation, hypothesis testing ...

Influential data points
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.5.3, p. 708 [ doi:10.1107/97809553602060000613 ]
... greater than 2p/n can be considered particularly influential. Let H = ZTZ be the normal-equations matrix, let V = H-1 be the estimated variance-covariance matrix, and let , so ... refinement. Structure and statistics in crystallography, edited by A. J. C. Wilson, pp. 183-195. Guilderland, NY: Adenine Press. International ...

Lack of fit
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.5.2, pp. 707-708 [ doi:10.1107/97809553602060000613 ]
... quantile-quantile, or Q-Q, plot (Abrahams & Keve, 1971; Kafadar & Spiegelman, 1986). To make such a plot, the residuals are ... Q-Q plot is the conditional Q-Q plot (Kafadar & Spiegelman, 1986), so called because the abscissa for plotting the ith ... enable a systematic error to be characterized. References Abrahams, S. C. & Keve, E. T. (1971). Normal probability plot analysis ...

Accuracy
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.5.1, p. 707 [ doi:10.1107/97809553602060000613 ]
... Budapest: Springer-Verlag. International Tables for Crystallography (2006). Vol. C, ch. 8.5, p. 707 © International Union of Crystallography 2006 | home ...

Detection and treatment of systematic error
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, ch. 8.5, pp. 707-709 [ doi:10.1107/97809553602060000613 ]
... quantile-quantile, or Q-Q, plot (Abrahams & Keve, 1971; Kafadar & Spiegelman, 1986). To make such a plot, the residuals are ... Q-Q plot is the conditional Q-Q plot (Kafadar & Spiegelman, 1986), so called because the abscissa for plotting the ith ... greater than 2p/n can be considered particularly influential. Let H = ZTZ be the normal-equations matrix, let V = H- ...

Influence of individual data points
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.4.4, pp. 705-706 [ doi:10.1107/97809553602060000612 ]
... refinement. Structure and statistics in crystallography, edited by A. J. C. Wilson, pp. 183-195. Guilderland, NY: Adenine Press. Shoemaker, D. ... A24, 136-142. International Tables for Crystallography (2006). Vol. C, ch. 8.4, pp. 705-706 © International Union of Crystallography 2006 ...

Comparison of different models
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.4.3, pp. 704-705 [ doi:10.1107/97809553602060000612 ]
... Kong/Barcelona/Budapest: Springer-Verlag. Williams, E. J. & Kloot, N. H. (1953). Interpolation in a series of correlated observations. Aust. ... 4, 1-17. International Tables for Crystallography (2006). Vol. C, ch. 8.4, pp. 704-705 © International Union of Crystallography 2006 ...

The F distribution
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.4.2, pp. 703-704 [ doi:10.1107/97809553602060000612 ]
... to a test on the F ratio. References Hamilton, W. C. (1964). Statistics in physical science: estimation, hypothesis testing and ... Budapest: Springer-Verlag. International Tables for Crystallography (2006). Vol. C, ch. 8.4, pp. 703-704 © International Union of Crystallography 2006 ...

The [chi]2 distribution
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.4.1, pp. 702-703 [ doi:10.1107/97809553602060000612 ]
... It is discussed further in Chapter 8.5 . References Cramér, H. (1951). Mathematical methods of statistics. Princeton, NJ: Princeton University Press. Draper, N. & Smith, H. (1981). Applied regression analysis. New York: John Wiley. Prince ... Budapest: Springer-Verlag. International Tables for Crystallography (2006). Vol. C, ch. 8.4, pp. 702-703 © International Union of Crystallography ...

Plausibility of results
Prince, E. and Spiegelman, C. H.  International Tables for Crystallography (2006). Vol. C, Section 8.5.4, p. 709 [ doi:10.1107/97809553602060000613 ]
... and perseverance. References International Tables for Crystallography (2006). Vol. C, ch. 8.5, p. 709 © International Union of Crystallography 2006 | home ...

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