HLMdiag: A suite of diagnostics for hierarchical linear models in R

Journal of Statistical Software

Volumn 56, Issue 5, 2014, Pages 1-28

  Loy, Adam ^a   Hofmann, Heike ^b  

^a LAWRENCE UNIVERSITY   (United States)

^b Department of Statistics Center for Statistics and Applications in Forensic Evidence Iowa State University 2438 Osborn Dr Ames   (United States)

Author keywords

Diagnostics; Hierarchical linear models; Influential observations; R; Residuals

Indexed keywords

EID: 84893225043     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v056.i05     Document Type: Article

References (55)

1. Bates D, Maechler M, Bolker B (2013a). lme4: Linear Mixed-Effects Models Using S4 Classes. R package version 1.0-5, URL http://CRAN.R-project.org/package=lme4.
2. Bates D, Maechler M, Bolker B (2013b). mlmRev: Examples from Multilevel Modelling Software Review. R package version 1.0-5, URL http://CRAN.R-project.org/package=mlmRev.
3. Belsley DA, Kuh E, Welsch RE (1980). Regression Diagnostics: Identifying Inuential Data and Sources of Collinearity. John Wiley & Sons, New York.
4. Buja A, Cook D, Hofmann H, Lawrence M, Lee EK, Swayne DF, Wickham H (2009). Statistical Inference for Exploratory Data Analysis and Model Diagnostics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1906), 4361-4383.
5. Christensen R, Pearson L, Johnson W (1992). "Case-Deletion Diagnostics for Mixed Models. Technometrics, 34(1), 38-45.
6. Cook RD, Weisberg S (1982). Residuals and Inuence in Regression. Chapman and Hall, New York.
7. Demidenko E (2004). Mixed Models: Theory and Applications. John Wiley & Sons, Hoboken.
8. Demidenko E, Stukel TA (2005). "Inuence Analysis for Linear Mixed-Effects Models. Statistics in Medicine, 24(6), 893-909.
9. Dillane D (2005). Deletion Diagnostics for the Linear Mixed Model. Ph.D. thesis, Trinity College, Dublin.
10. Eddelbuettel D, Sanderson C (2014). "RcppArmadillo: Accelerating R with High-Performance C++ Linear Algebra. Computational Statistics & Data Analysis, 71, 1054-1063.
11. Ghidey W, Lesaffre E, Eilers P (2004). "Smooth Random Effects Distribution in a Linear Mixed Model. Biometrics, 60(4), 945-953.
12. Ghidey W, Lesaffre E, Verbeke G (2010). "A Comparison of Methods for Estimating the Random Effects Distribution of a Linear Mixed Model. Statistical Methods in Medical Research, 19(6), 575-600.
13. Goldstein H (2011). Multilevel Statistical Models. 4th edition. John Wiley & Sons, Chichester.
14. Goldstein H, Carpenter J, Kenward M, Levin K (2009). "Multilevel Models with Multivariate Mixed Response Types. Statistical Modelling, 9(3), 173-197.
15. Goldstein H, Rasbash J, Yang M, Woodhouse G, Pan H, Nuttall D, Thomas S (1993). "A Multilevel Analysis of School Examination Results. Oxford Review of Education, 19(4), 425-433.
16. Gurka MJ, Edwards LJ, Muller KE, Kupper LL (2006). "Extending the Box-Cox Transformation to the Linear Mixed Model. Journal of the Royal Statistical Society A, 169(2), 273-288.
17. Haslett J, Haslett SJ (2007). "The Three Basic Types of Residuals for a Linear Model. International Statistical Review, 75(1), 1-24.
18. Hedeker D, Gibbons R, Toit SD, Patterson D (2008). SuperMix: A Program for Mixed- Effects Regression Models. Scientiffc Software International, Chicago. URL http://www.ssicentral.com/supermix/.
19. Hilden-Minton J (1995). Multilevel Diagnostics for Mixed and Hierarchical Linear Models. Ph.D. thesis, University of California Los Angeles.
20. Hox JJ (2010). Multilevel Analysis: Techniques and Applications. 2nd edition. Routledge, New York.
21. Kreft I, de Leeuw J (1998). Introducing Multilevel Modeling. Sage, London.
22. Langford I, Lewis T (1998). "Outliers in Multilevel Data. Journal of the Royal Statistical Society A, 161(2), 121-160.
23. Leckie G, Charlton C (2013). "runmlwin: A Program to Run the MLwiN Multilevel Modeling Software from within Stata. Journal of Statistical Software, 52(11), 1-40. URL http://www.jstatsoft.org/v52/i11/.
24. Loy A, Hofmann H (2013). "Diagnostic Tools for Hierarchical Linear Models. Wiley Interdisciplinary Reviews: Computational Statistics, 5(1), 48-61.
25. McCulloch CE, Searle SR (2001). Generalized, Linear, and Mixed Models. John Wiley & Sons, New York.
26. Nieuwenhuis R, Pelzer B, te Grotenhuis M (2013). Inuence.ME: Tools for Detecting Inuential Data in Mixed Effects Models. R package version 0.9-3, URL http://CRAN.R-project.org/package=influence.ME.
27. Nieuwenhuis R, te Grotenhuis M, Pelzer B (2012). "inuence.ME: Tools for Detecting Inuential Data in Mixed Effects Models. The R Journal, 4(2), 38-47.
28. Nobre JS, Singer JM (2011). "Leverage Analysis for Linear Mixed Models. Journal of Applied Statistics, 38(5), 1063-1072.
29. Pinheiro J, Bates D, DebRoy S, Sarkar D, R Core Team (2013). nlme: Linear and Nonlinear Mixed Effects Models. R package version 3.1-113, URL http://CRAN.R-project.org/package=nlme.
30. Pinheiro J, Liu C, Wu Y (2001). "Effcient Algorithms for Robust Estimation in Linear Mixed-Effects Models Using the Multivariate t-Distribution. Journal of Computational and Graphical Statistics, 10(2), 249-276.
31. Pinheiro JC, Bates DM (2000). Mixed-Effects Models in S and S-PLUS. Springer-Verlag, New York.
32. Rabe-Hesketh S, Skrondal A, Pickles A (2004). "gllamm Manual. Technical Report 160, University of California Berkley, Division of Biostatistics. URL http://www.bepress.com/ucbbiostat/paper160.
33. Rasbash J, Steele F, Browne WJ, Goldstein H (2012). A User's Guide to MLwiN, v2.26. Centre for Multilevel Modelling, University of Bristol.
34. Raudenbush SW, Bryk AS (2002). Hierarchical Linear Models: Applications and Data Analysis Methods. 2nd edition. Sage, Thousand Oaks.
35. Raudenbush SW, Bryk AS, Cheong YF, Condon RT, du Toit M (2011). HLM 7: Hierarchical Linear and Nonlinear Modeling. Scientiffc Software International, Lincolnwood.
36. R Core Team (2013). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org/.
37. Sanderson C (2010). "Armadillo: An Open Source C++ Linear Algebra Library for Fast Prototyping and Computationally Intensive Experiments. Technical report, NICTA. URL http://arma.sourceforge.net.
38. SAS Institute Inc (2008). SAS/STAT Software, Version 9.2. Cary, NC. URL http://www.sas.com/.
39. Schabenberger O (2004). "Mixed Model Inuence Diagnostics. In Proceedings of the Twenty-Ninth Annual SAS® Users Group International Conference. SAS Institute Inc, Cary, NC. Paper 189-29.
40. Shen W, Louis TA (1999). "Empirical Bayes Estimation via the Smoothing by Roughening Approach. Journal of Computational and Graphical Statistics, 8(4), 800-823.
41. Shi L, Chen G (2008). "Case Deletion Diagnostics in Multilevel Models. Journal of Multivariate Analysis, 99(9), 1860-1877.
42. Snijders T, Berkhof J (2008). "Diagnostic Checks for Multilevel Models. In J de Leeuw, E Meijer (eds.), Handbook of Multilevel Analysis, chapter 3, pp. 141-175. Springer-Verlag, New York.
43. Snijders TAB, Bosker RJ (2012). Multilevel Analysis: An Introduction to Basic and Advanced Multilevel Modeling. 2nd edition. Sage, London.
44. StataCorp (2007). Stata 10 Longitudinal/Panel Data Reference Manual. Stata Press, College Station.
45. Staudenmayer J, Lake E, Wand M (2009). "Robustness for General Design Mixed Models using the t-Distribution. Statistical Modelling, 9(3), 235.
46. Tremblay A, Ransijn J (2013). LMERConvenienceFunctions: A Suite of Functions to Back-Fit Fixed Effects and Forward-Fit Random Effects, as well as Other Miscellaneous Functions. R package version 2.1, URL http://CRAN.R-project.org/package=LMERConvenienceFunctions.
47. Tukey JW (1977). Exploratory Data Analysis. Addison Wesley, Reading.
48. Verbeke G, Lesaffre E (1996). "A Linear Mixed-Effects Model with Heterogeneity in the Random-Effects Population. Journal of the American Statistical Association, 91(433), 217-221.
49. Verbeke G, Lesaffre E (1997). "The Effect of Misspecifying the Random-Effects Distribution in Linear Mixed Models for Longitudinal Data. Computational Statistics & Data Analysis, 23(4), 541-556.
50. West BT, Galecki AT (2011). "An Overview of Current Software Procedures for Fitting Linear Mixed Models. The American Statistician, 65(4), 274-282.
51. Wickham H (2009). ggplot2: Elegant Graphics for Data Analysis. Springer-Verlag, New York. URL http://had.co.nz/ggplot2/book.
52. Wickham H (2012). nullabor: Tools for Graphical Inference. R package version 0.2.1, URL http://CRAN.R-project.org/package=nullabor.
53. Yuan KH, Bentler PM (2002). "On Normal Theory Based Inference for Multilevel Models with Distributional Violations. Psychometrika, 67(4), 539-561.
54. Zewotir T (2008). "Multiple Cases Deletion Diagnostics for Linear Mixed Models. Communications in Statistics - Theory and Methods, 37(7), 1071-1084.
55. Zhang D, Davidian M (2001). "Linear Mixed Models with Flexible Distributions of Random Effects for Longitudinal Data. Biometrics, 57(3), 795-802.