Introduction to Multilevel Analysis

[1]  Kenneth G. Manton,et al.  “Equivalent Sample Size” and “Equivalent Degrees of Freedom” Refinements for Inference Using Survey Weights under Superpopulation Models , 1992 .

[2]  W. J. Duncan.  LXXVIII. Some devices for the solution of large sets of simultaneous linear equations: With an appendix on the reciprocation of partitioned matrices , 1944 .

[3]  Tx Station.  Stata Statistical Software: Release 7. , 2001 .

[4]  Jeffrey M. Wooldridge,et al.  Asymptotic properties of weighted M-estimators for variable probability samples , 1999 .

[5]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[6]  M. Browne.  Asymptotically distribution-free methods for the analysis of covariance structures. , 1984, The British journal of mathematical and statistical psychology.

[7]  M. Aitkin,et al.  Statistical Modelling Issues in School Effectiveness Studies , 1986 .

[8]  P. McCullagh,et al.  Generalized Linear Models , 1992 .

[9]  Guido del Pino,et al.  The Unifying Role of Iterative Generalized Least Squares in Statistical Algorithms , 1989 .

[10]  Tihomir Asparouhov,et al.  General Multi-Level Modeling with Sampling Weights , 2006 .

[11]  N. Longford.  A fast scoring algorithm for maximum likelihood estimation in unbalanced mixed models with nested random effects , 1987 .

[12]  R. Potthoff,et al.  A generalized multivariate analysis of variance model useful especially for growth curve problems , 1964 .

[13]  A. Goldberger.  Best Linear Unbiased Prediction in the Generalized Linear Regression Model , 1962 .

[14]  D. Hedeker.  MIXNO: a computer program for mixed-effects nominal logistic regression , 1999 .

[15]  S. Raudenbush,et al.  Empirical Bayes Meta-Analysis , 1985 .

[16]  Barbara Entwisle,et al.  Contextual analysis through the multilevel linear model. , 1983 .

[17]  Gary Chamberlain,et al.  Chapter 22 Panel data , 1984 .

[18]  I G Kreft,et al.  The Effect of Different Forms of Centering in Hierarchical Linear Models. , 1995, Multivariate behavioral research.

[19]  R. Jennrich,et al.  Unbalanced repeated-measures models with structured covariance matrices. , 1986, Biometrics.

[20]  Jee-Seon Kim,et al.  Multilevel Modeling with Correlated Effects , 2007 .

[21]  D. Freedman,et al.  On The So-Called “Huber Sandwich Estimator” and “Robust Standard Errors” , 2006 .

[22]  A. Satorra,et al.  Complex Sample Data in Structural Equation Modeling , 1995 .

[23]  Jeffrey M. Wooldridge,et al.  Solutions Manual and Supplementary Materials for Econometric Analysis of Cross Section and Panel Data , 2003 .

[24]  Jan de Leeuw,et al.  Questioning Multilevel Models , 1995 .

[25]  S. Rabe-Hesketh,et al.  Multilevel modelling of complex survey data , 2006 .

[26]  D. Bates,et al.  Newton-Raphson and EM Algorithms for Linear Mixed-Effects Models for Repeated-Measures Data , 1988 .

[27]  Tihomir Asparouhov,et al.  Sampling Weights in Latent Variable Modeling , 2005 .

[28]  Andrew Gelman,et al.  Bayesian Measures of Explained Variance and Pooling in Multilevel (Hierarchical) Models , 2006, Technometrics.

[29]  J. Magnus,et al.  Symmetry, 0-1 Matrices and Jacobians: A Review , 1986, Econometric Theory.

[30]  D. Lindley,et al.  Bayes Estimates for the Linear Model , 1972 .

[31]  K. Jöreskog,et al.  LISREL 8: New Statistical Features , 1999 .

[32]  Jan de Leeuw,et al.  Random Coefficient Models for Multilevel Analysis , 1986 .

[33]  Jan de Leeuw,et al.  Introducing Multilevel Modeling , 1998 .

[34]  M. Arellano.  Panel Data Econometrics , 2002 .

[35]  H. Goldstein,et al.  Weighting for unequal selection probabilities in multilevel models , 1998 .

[36]  J. Ware,et al.  Random-effects models for longitudinal data. , 1982, Biometrics.

[37]  Jianhua Z. Huang,et al.  Varying‐coefficient models and basis function approximations for the analysis of repeated measurements , 2002 .

[38]  Terence P. Speed,et al.  On a matrix identity associated with generalized least squares , 1990 .

[39]  D. Pfeffermann.  The Role of Sampling Weights when Modeling Survey Data , 1993 .

[40]  H. Goldstein.  Restricted unbiased iterative generalized least-squares estimation , 1989 .

[41]  R. Tibshirani,et al.  Varying‐Coefficient Models , 1993 .

[42]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .

[43]  Edward E. Leamer,et al.  Matrix Weighted Averages and Posterior Bounds , 1976 .

[44]  D. Hedeker,et al.  MIXOR: a computer program for mixed-effects ordinal regression analysis. , 1996, Computer methods and programs in biomedicine.

[45]  H. Hartley,et al.  Maximum-likelihood estimation for the mixed analysis of variance model. , 1967, Biometrika.

[46]  Jeffrey M. Wooldridge,et al.  Inverse probability weighted M-estimators for sample selection, attrition, and stratification , 2002 .

[47]  Stephen W. Raudenbush,et al.  Efficiency and Robustness of Alternative Estimators for Two- and Three-level Models: The Case of NAEP , 2001 .

[48]  D. Harville.  Bayesian inference for variance components using only error contrasts , 1974 .

[49]  T. Wansbeek.  Measurement error and latent variables in econometrics , 2000 .

[50]  J. MacKinnon,et al.  Estimation and inference in econometrics , 1994 .

[51]  Monica Pratesi,et al.  Weighted estimation in multilevel ordinal and binary models in the presence of informative sampling designs , 2004 .

[52]  Anthony S. Bryk,et al.  A Hierarchical Model for Studying School Effects , 1986 .

[53]  W. S. Robinson.  Ecological correlations and the behavior of individuals. , 1950, International journal of epidemiology.

[54]  Jan Van Damme,et al.  The effect of different forms of centering in hierarchical linear models re-examined. UCS technical report 2001-04 , 2001 .

[55]  David C. Ribar,et al.  Analysis of panel data, 2nd edition , 2004 .

[56]  H. Goldstein.  Multilevel mixed linear model analysis using iterative generalized least squares , 1986 .

[57]  Eric A. Hanushek,et al.  Efficient Estimators for Regressing Regression Coefficients , 1974 .

[58]  Timothy J. Robinson,et al.  Multilevel Analysis: Techniques and Applications , 2002 .

[59]  D. Rubin,et al.  Estimation in Covariance Components Models , 1981 .

[60]  Leigh Burstein,et al.  Analyzing Multilevel Data in the Presence of Heterogeneous Within-Class Regressions , 1978 .

[61]  R. Xu.  Measuring explained variation in linear mixed effects models , 2003, Statistics in medicine.

[62]  Jeffrey M. Wooldridge,et al.  ASYMPTOTIC PROPERTIES OF WEIGHTED M-ESTIMATORS FOR STANDARD STRATIFIED SAMPLES , 2001, Econometric Theory.

[63]  J. Magnus,et al.  Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition) , 1999 .

[64]  G. Verbeke,et al.  The effect of misspecifying the random-effects distribution in linear mixed models for longitudinal data , 1997 .

[65]  Roel Bosker,et al.  Multilevel analysis : an introduction to basic and advanced multilevel modeling , 1999 .

[66]  D. Hedeker,et al.  MIXREG: a computer program for mixed-effects regression analysis with autocorrelated errors. , 1996, Computer methods and programs in biomedicine.

[67]  Andrew Gelman,et al.  Models, assumptions and model checking in ecological regressions , 2001 .

[68]  T. Ferguson.  A Course in Large Sample Theory , 1996 .

[69]  H. Blalock,et al.  Contextual-Effects Models: Theoretical and Methodological Issues , 1984 .

[70]  Andrew Gelman,et al.  Multilevel (Hierarchical) Modeling: What It Can and Cannot Do , 2006, Technometrics.

[71]  Erik Meijer,et al.  Measuring Welfare Effects in Models with Random Coefficients , 2000 .

[72]  C. R. Rao,et al.  Linear Statistical Inference and its Applications , 1968 .

[73]  P. Green.  Iteratively reweighted least squares for maximum likelihood estimation , 1984 .

[74]  Karl Löwner.  Über monotone Matrixfunktionen , 1934 .

[75]  Roel Bosker,et al.  PINT. Estimating standard errors of regression coefficients in hierarchical linear models for power calculations. User's manual. , 1999 .

[76]  L. Poundie Burstein.  The Analysis of Multilevel Data in Educational Research and Evaluation , 1980 .

[77]  J. Paul Elhorst,et al.  Labour force participation rates at the regional and national levels of the European Union: An integrated analysis , 2007 .

[78]  A. Cameron,et al.  Microeconometrics: Methods and Applications , 2005 .

[79]  J. Hemelrijk,et al.  Underlining random variables , 1966 .

[80]  Lawrence H. Boyd,et al.  Contextual Analysis: Concepts and Statistical Techniques , 1979 .

[81]  S. West,et al.  Multiple Regression: Testing and Interpreting Interactions. , 1994 .

[82]  Richard L. Tate,et al.  Random Versus Nonrandom Coefficient Models for Multilevel Analysis , 1983 .

[83]  Erik Meijer,et al.  Preferences for housing, jobs, and commuting : A mixed logit analysis , 2001 .

[84]  C. Jencks,et al.  Inequality: A Reassessment of the Effect of Family and Schooling in America , 1977 .

[85]  Stephen W. Raudenbush,et al.  Reexamining, Reaffirming, and Improving Application of Hierarchical Models , 1995 .

[86]  Cora J. M. Maas,et al.  The influence of violations of assumptions on multilevel parameter estimates and their standard errors , 2004, Comput. Stat. Data Anal..

[87]  Sophia Rabe-Hesketh,et al.  Generalized latent variable models: multilevel, longitudinal, and structural equation models , 2004 .

[88]  Anthony S. Bryk,et al.  Hierarchical Linear Models: Applications and Data Analysis Methods , 1992 .

[89]  Harvey Goldstein,et al.  Efficient computational procedures for the estimation of parameters in multilevel models based on iterative generalised least squares , 1992 .

[90]  G. Robinson.  That BLUP is a Good Thing: The Estimation of Random Effects , 1991 .

[91]  N. Laird,et al.  Maximum likelihood computations with repeated measures: application of the EM algorithm , 1987 .

[92]  Shesh N. Rai,et al.  A Pseudo Maximum Likelihood Approach to Multilevel Modelling of Survey Data , 2003 .

[93]  D. Harville.  Matrix Algebra From a Statistician's Perspective , 1998 .

[94]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[95]  G. Molenberghs,et al.  Linear Mixed Models for Longitudinal Data , 2001 .

[96]  H. Goldstein.  Multilevel Statistical Models , 2006 .

[97]  H. Weisberg,et al.  Empirical Bayes estimation of individual growth-curve parameters and their relationship to covariates. , 1983, Biometrics.