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Keywords: degrees of freedom
Journal Article
On the degrees of freedom of the smoothing parameter Get access
in
Biometrika
Biometrika, Volume 112, Issue 1, 2025, asae052, https://doi.org/10.1093/biomet/asae052
Published: 10 October 2024
... cross-validation or restricted maximum likelihood. As these parameters are estimated in a data-driven manner, they influence the degrees of freedom of a semiparametric model, based on Stein’s lemma. This allows us to associate parts of the degrees of freedom of a semiparametric model with the smoothing...
Journal Article
Corrected generalized cross-validation for finite ensembles of penalized estimators Get access
Journal of the Royal Statistical Society Series B: Statistical Methodology, Volume 87, Issue 2, April 2025, Pages 289–318, https://doi.org/10.1093/jrsssb/qkae092
Published: 18 September 2024
... cross-validation (GCV) is a widely used method for estimating the squared out-of-sample prediction risk that employs scalar degrees of freedom adjustment (in a multiplicative sense) to the squared training error. In this paper, we examine the consistency of GCV for estimating the prediction risk...
Journal Article
Two-dimensional fused targeted ridge regression for health indicator prediction from accelerometer data
Journal of the Royal Statistical Society Series C: Applied Statistics, Volume 72, Issue 4, August 2023, Pages 1064–1078, https://doi.org/10.1093/jrsssc/qlad041
Published: 20 June 2023
... degrees of freedom generalised linear model regularisation Address for correspondence: Wessel N. van Wieringen, Epidemiology and Data Science, Amsterdam UMC, Vrije Universiteit Amsterdam, De Boelelaan 1117, Amsterdam, The Netherlands. Email: [email protected] Conflict...
Journal Article
Examining the robustness of observational associations to model, measurement and sampling uncertainty with the vibration of effects framework
International Journal of Epidemiology, Volume 50, Issue 1, February 2021, Pages 266–278, https://doi.org/10.1093/ije/dyaa164
Published: 05 November 2020
... recommend systematically studying and reporting these types of uncertainty, and comparing them in a common framework. Measurement error metascience observational study replicability researcher degrees of freedom stability Key Messages We extended the concept of vibration of effects such that model...
Journal Article
Pearson’s chi-squared statistics: approximation theory and beyond Get access
in
Biometrika
Biometrika, Volume 106, Issue 3, September 2019, Pages 716–723, https://doi.org/10.1093/biomet/asz020
Published: 22 April 2019
... that involve a delicate interplay between the dimension, the sample size, and the moment conditions. We propose a modified chi-squared statistic and introduce an adjusted degrees of freedom. A simulation study shows that the modified statistic outperforms Pearson’s chi-squared statistic in terms of both size...
Journal Article
Fractional Factorial Designs for Factors with a Prime Number of Quantitative Levels
Journal of the Royal Statistical Society: Series B (Methodological), Volume 56, Issue 4, November 1994, Pages 611–622, https://doi.org/10.1111/j.2517-6161.1994.tb02003.x
Published: 05 December 2018
... Publication Model ( https://dbpia.nl.go.kr/journals/pages/open_access/funder_policies/chorus/standard_publication_model ) SUMMARY A technique for single degree of freedom partitioning of canonical contrasts for prime level factorials with quantitative levels is reviewed. The relationship between canonical...
Journal Article
Common Structure of Techniques for Choosing Smoothing Parameters in Regression Problems
Journal of the Royal Statistical Society: Series B (Methodological), Volume 49, Issue 2, January 1987, Pages 184–198, https://doi.org/10.1111/j.2517-6161.1987.tb01690.x
Published: 05 December 2018
...). Keywords: DEGREES OF FREEDOM; RIDGE REGRESSION; NONPARAMETRIC REGRESSION; SMOOTHING PARAMETER; PERIODIC SPLINES; ILL-POSED PROBLEMS 1. INTRODUCTION Some approaches to both (parametric) linear regression and nonparametric regression lead to estimation or prediction prescriptions that involve a smoothing...
Journal Article
The Distribution of a Noncentral χ2 Variable with Nonnegative Degrees of Freedom
Journal of the Royal Statistical Society Series C: Applied Statistics, Volume 36, Issue 3, November 1987, Pages 402–405, https://doi.org/10.2307/2347804
Published: 05 December 2018
... Journals Publication Model ( https://dbpia.nl.go.kr/journals/pages/open_access/funder_policies/chorus/standard_publication_model ) Noncentral chi-squared distribution zero degrees of freedom 402 Algorithm AS 231 FAREBROTHER The Distribution of a Noncentral X2 Variable with Nonnegative Degrees of Freedom...
Journal Article
A Closed Form Approximation for Calculating the Percentage Points of the F and T Distributions
Journal of the Royal Statistical Society Series C: Applied Statistics, Volume 37, Issue 1, March 1988, Pages 95–100, https://doi.org/10.2307/2347497
Published: 05 December 2018
... with m and n degrees of freedom for numerator and denominator respectively, the choice for approximating the distribution of χ2 is very important. Two approximations to this distribution are in common use, each of which selects an appropriate function of the variate which...
Journal Article
Degrees of freedom analysis in educational research and decision-making: leveraging qualitative data to promote excellence in bioinformatics training and education
Briefings in Bioinformatics, Volume 20, Issue 2, March 2019, Pages 416–425, https://doi.org/10.1093/bib/bbx106
Published: 10 November 2017
.... Educational decisions can include, “is my assessment aligned with my teaching goals?”, “should I use X or Y teaching method?”, or “will changing the curriculum help to achieve specific teaching goals?”. An established method for the analysis of qualitative data to inform decisions is the degrees of freedom...
Journal Article
A new pan-European Train-the-Trainer programme for bioinformatics: pilot results on feasibility, utility and sustainability of learning
Briefings in Bioinformatics, Volume 20, Issue 2, March 2019, Pages 405–415, https://doi.org/10.1093/bib/bbx112
Published: 26 September 2017
... instructors can access for expertise and support. The evaluation of the pilot programme is a series of matrices based on the degrees of freedom analysis (DoFA) method [ 25 , 26 ]. The DoFA method facilitates the analysis of qualitative data, including observations, survey results and theory. The method...
Journal Article
Cluster randomized trials with a small number of clusters: which analyses should be used?
International Journal of Epidemiology, Volume 47, Issue 1, February 2018, Pages 321–331, https://doi.org/10.1093/ije/dyx169
Published: 23 August 2017
...Clémence Leyrat; Katy E Morgan; Baptiste Leurent; Brennan C Kahan Cluster randomized trial small-sample correction degrees-of-freedom correction type I error rate power cluster-level analysis mixed-model generalized estimating equations Key Messages Cluster randomized trials (CRTs...
Journal Article
Pointwise Influence Matrices for Functional-Response Regression Get access
in
Biometrics
Biometrics, Volume 73, Issue 4, December 2017, Pages 1092–1101, https://doi.org/10.1111/biom.12697
Published: 12 April 2017
... definition is shown to reduce to the conventional influence matrix for linear models. The pointwise degrees of freedom, the trace of the pointwise influence matrix, are shown to have an adaptivity property that motivates a two-step bivariate smoother for modeling nonlinear dependence on a single predictor...
Journal Article
On the degrees of freedom of reduced-rank estimators in multivariate regression Get access
in
Biometrika
Biometrika, Volume 102, Issue 2, June 2015, Pages 457–477, https://doi.org/10.1093/biomet/asu067
Published: 09 February 2015
... W. F. ( 1965 ). Principal components regression with exploratory statistical research . J. Am. Statist. Assoc. 60 , 234 – 46 . Meyer M. Woodroofe M. ( 2000 ). On the degrees of freedom in shape-restricted regression . Ann. Statist. 28 , 1083 – 104 . Moore E. H...
Journal Article
When does more regularization imply fewer degrees of freedom? Sufficient conditions and counterexamples Get access
in
Biometrika
Biometrika, Volume 101, Issue 4, December 2014, Pages 771–784, https://doi.org/10.1093/biomet/asu034
Published: 12 September 2014
...S. Kaufman; S. Rosset 12 2012 5 2014 © 2014 Biometrika Trust 2014 Abstract Regularization aims to improve prediction performance by trading an increase in training error for better agreement between training and prediction errors, which is often captured through decreased degrees of freedom...
Journal Article
Differential Geometric Least Angle Regression: A Differential Geometric Approach to Sparse Generalized Linear Models Get access
Journal of the Royal Statistical Society Series B: Statistical Methodology, Volume 75, Issue 3, June 2013, Pages 471–498, https://doi.org/10.1111/rssb.12000
Published: 22 January 2013
... penalty theory Differential geometry Generalized degrees of freedom Generalized linear models Information geometry Least angle regression Path following algorithm Sparse models Variable selection This paper deals with the problem of how to study the sparse structure of a generalized linear model...
Journal Article
Conditional Akaike information under generalized linear and proportional hazards mixed models Get access
in
Biometrika
Biometrika, Volume 98, Issue 3, September 2011, Pages 685–700, https://doi.org/10.1093/biomet/asr023
Published: 13 July 2011
... key words: Akaike information; Conditional likelihood; Effective degrees of freedom.
1. INTRODUCTION
Mixed effects models have been widely used to analyse clustered data, which arise in appli-
cations such as longitudinal studies, familial studies and multicentre...
Journal Article
Efficacy of Drilling Degrees of Freedom in the Finite Element Modeling of P - and SV-Wave Scattering Problems
The Chinese Journal of Mechanics. Series A, Volume 16, Issue 2, June 2000, Pages 103–108, https://doi.org/10.1017/S1727719100001672
Published: 05 May 2011
... is matched with a known analytical solution in the infinite domain in terms of fields and their derivatives. The derivative continuity is implemented by using a slope constraint. Drilling degrees of freedom at each node of the finite element model are introduced to make the numerical model more sensitive...
Journal Article
Testing for Homogeneity in Meta-Analysis I. The One-Parameter Case: Standardized Mean Difference Get access
in
Biometrics
Biometrics, Volume 67, Issue 1, March 2011, Pages 203–212, https://doi.org/10.1111/j.1541-0420.2010.01442.x
Published: 14 March 2011
... by the standardized mean difference (Cohen’s d-statistic). In this situation, we recommend approximating the null distribution of Q by a chi-square distribution with fractional degrees of freedom that are estimated from the data using our expansion for the mean of Q. The resulting...
Journal Article
Diversity in Degrees of Freedom of Mitochondrial Transit Peptides
Molecular Biology and Evolution, Volume 26, Issue 8, August 2009, Pages 1773–1780, https://doi.org/10.1093/molbev/msp087
Published: 22 April 2009
... ClustalW ( Thompson et al. 1994 ). These considerations led us to the following working hypothesis: although mitochondrial transit peptides in general are characterized by high degrees of freedom (df) in terms of amino acid sequence and composition, plant mitochondrial transit peptides should...
