Cited by 2,667Statistical Methods and Bayesian InferenceStatistical and numerical algorithmsAdvanced Statistical Methods and Models

The DOI matches its Crossref record; 84 of the 86 references it cites were found in a registry or an index.

Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems

Harville, David A.·1977·Journal of the American Statistical Association

DOI 10.1080/01621459.1977.10480998

Open this paper in CoChat — free account

Abstract

Recent developments promise to increase greatly the popularity of maximum likelihood (ml) as a technique for estimating variance components. Patterson and Thompson (1971) proposed a restricted maximum likelihood (reml) approach which takes into account the loss in degrees of freedom resulting from estimating fixed effects. Miller (1973) developed a satisfactory asymptotic theory for ml estimators of variance components. There are many iterative algorithms that can be considered for computing the ml or reml estimates. The computations on each iteration of these algorithms are those associated with computing estimates of fixed and random effects for given values of the variance components.

Integrity signals

Registry

Crossref · 10.1080/01621459.1977.10480998

Cites

84 of 84 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

An Algorithm for Least-Squares Estimation of Nonlinear Parameters
Marquardt, D. W. (1963) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0111030 · Cited by 30,728
A method for the solution of certain non-linear problems in least squares
Levenberg, K. (1944) · Quarterly of Applied Mathematics · doi:10.1090/qam/10666 · Cited by 12,753
Linear Statistical Inference and its Applications
Rao, C. R. (1973) · Wiley series in probability and statistics · doi:10.1002/9780470316436 · Cited by 10,474
Journal of The American Statistical Association
Fienberg, S. E. (2004) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess1317 · Cited by 6,289
Recovery of Inter-Block Information when Block Sizes are Unequal
Patterson, H. D., & Thompson, R. (1971) · Biometrika · doi:10.1093/biomet/58.3.545 · Cited by 4,073
Linear Models
Searle, S. R., & Searle, S. R. (1971) · Cited by 3,229
Best Linear Unbiased Estimation and Prediction under a Selection Model
Henderson, C. (1975) · Biometrics · doi:10.2307/2529430 · Cited by 2,513
Nonlinear Parameter Estimation
Chambers, J. M., & Bard, Y. (1975) · Technometrics · doi:10.2307/1268363 · Cited by 2,171
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Journal of the Royal Statistical Society.
(1921) · The Economic Journal · doi:10.1093/ej/31.121.133 · Cited by 1,503

Show all 86 references

Research works printed but not linked: 12

Anderson , T. W. 1969 . “Statistical Inference for Covariance Matrices with Linear Structure” . In Multivariate Analysis-II , Edited by: Krishnaiah , P. R. 55 – 66 . New York : Academic Press .
Box , George E. P. and Jenkins , Gwilym M. 1970 . Time Series Analysis , San Francisco : Holden-Day .
10.1080/00401706.1976.10489397 · DOI
Harville , David A. 1969b . “Variance-Component Estimation for the Unbalanced One-Way Random Classification-A Critique” , Ohio : Aerospace Research Laboratories, Wright-Patterson AFB . Technical Report No. 69–0180
Harville , David A. 1975 . “Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems” , Ohio : Aerospace Research Laboratories, Wright-Patterson AFB . Technical Report No. 75–0175
Henderson , Charles R. 1973a . “Maximum Likelihood Estimation of Variance Components” unpublished manuscript
Henderson , Charles R. 1973b . “MINQUE of Variance Components” unpublished manuscript
10.1080/00401706.1976.10489395 · DOI
LaMotte , Lynn R. 1970 . “A Class of Estimators of Variance Components” , Lexington , Kentucky : Department of Statistics, University of Kentucky . Technical Report No. 10
LaMotte , Lynn R. 1971 . “Locally Best Quadratic Estimators of Variance Components” , Lexington , Kentucky : Department of Statistics, University of Kentucky . Technical Report No. 22
Proschan , F. and Serfling , R. J. 1974 . “Prediction, Mixed Models, and Variance Components” . In Reliability and Biometry , Edited by: Proschan , F. and Serfling , R. J. Ithaca , New York : Biometrics Unit, Cornell University . Paper No. BU-586-M
Townsend , Edwin C. 1968 . “Unbiased Estimators of Variance Components in Simple Unbalanced Designs” , Ph.D. dissertation Ithaca , New York : Cornell University .

Sorted by citations

Items 301–400 of 1,001

Longitudinal Data Analysis
Molenberghs, G., & Verbeke, G. N. (2017) · Wiley eBooks · doi:10.1002/9781118445112.stat00291.pub2 · Cited by 95
Latent Variable Models with Fixed Effects
Sammel, M. D., & RYAN, L. M. (1996) · Biometrics · doi:10.2307/2532903 · Cited by 94
What Should Be Done When an Estimated Between-Group Covariance Matrix Is Not Nonnegative Definite?
Amemiya, Y. (1985) · The American Statistician · doi:10.1080/00031305.1985.10479407 · Cited by 94
Yield variability of crop varieties in the U.K.
Talbot, M. (1984) · The Journal of Agricultural Science · doi:10.1017/s0021859600042635 · Cited by 93
Questioning Multilevel Models
de Leeuw, J., & Kreft, I. G. G. (1995) · Journal of Educational and Behavioral Statistics · doi:10.2307/1165355 · Cited by 93
Tracking: Prediction of Future Values from Serial Measurements
Ware, J. H., & Wu, M. C. (1981) · Biometrics · doi:10.2307/2530556 · Cited by 93
Performance Quality, Gender, and Professional Role
Hall, J. A., Palmer, R. H., Orav, E. J., Hargraves, J. L., Wright, E. A., & Louis, T. A. (1990) · Medical Care · doi:10.1097/00005650-199006000-00002 · Cited by 93
Work Experiences and Self-Esteem Development: A Meta-Analysis of Longitudinal Studies
Krauss, S., & Orth, U. (2022) · European Journal of Personality · doi:10.1177/08902070211027142 · Cited by 92
Heterogeneity in meta-analysis: a comprehensive overview
Stogiannis, D., Siannis, F., & Androulakis, E. (2023) · The International Journal of Biostatistics · doi:10.1515/ijb-2022-0070 · Cited by 96
REML estimation for binary data in GLMMs
Noh, M., & Lee, Y. (2007) · Journal of Multivariate Analysis · doi:10.1016/j.jmva.2006.11.009 · Cited by 92
One Hundred Years of Statistical Developments in Animal Breeding
Gianola, D., & Rosa, G. J. M. (2014) · Annual Review of Animal Biosciences · doi:10.1146/annurev-animal-022114-110733 · Cited by 96
Time Series Analysis in 1880: A Discussion of Contributions Made by T.N. Thiele
Lauritzen, S. L. (1981) · International Statistical Review · doi:10.2307/1402616 · Cited by 92
Effects of uric acid-lowering therapy in patients with chronic kidney disease: A meta-analysis
Su, X., Xu, B., Yan, B., Qiao, X., & Wang, L. (2017) · PLoS ONE · doi:10.1371/journal.pone.0187550 · Cited by 91
Associations between Exercise and Health Behaviors in a Community Sample of Working Adults
Boutelle, K. N., Murray, D. M., Jeffery, R. W., Hennrikus, D. J., & Lando, H. A. (2000) · Preventive Medicine · doi:10.1006/pmed.1999.0618 · Cited by 91
Prediction of breeding values when variances are not known
Gianola, D., Foulley, J. L., & Fernando, R. (1986) · Génétique Sélection Évolution · doi:10.1051/gse:19860411 · Cited by 91
Comparing spatial regression to random forests for large environmental data sets
Fox, E. W., Hoef, J. M. V., & Olsen, A. R. (2020) · PLoS ONE · doi:10.1371/journal.pone.0229509 · Cited by 90
Pedigree Analysis for Quantitative Traits: Variance Components without Matrix Inversion
Thompson, E. A., & Shaw, R. G. (1990) · Biometrics · doi:10.2307/2531445 · Cited by 90
Biostatistics and Bayes
Breslow, N. E. (1990) · Statistical Science · doi:10.1214/ss/1177012092 · Cited by 90
A Structural Modeling Approach to a Multilevel Random Coefficients Model
Rovine, M. J., & Molenaar, P. C. M. (2000) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3501_3 · Cited by 90
Metropolitan Land Values
Albouy, D., Ehrlich, G. M., & Shin, M. (2017) · The Review of Economics and Statistics · doi:10.1162/rest_a_00710 · Cited by 90
Fixed-effect variable selection in linear mixed models using statistics
Orelien, J. G., & Edwards, L. J. (2007) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2007.06.006 · Cited by 89
Case Studies Using Panel Data Models
Frees, E. W., Young, V. R., & Luo, Y. (2001) · North American Actuarial Journal · doi:10.1080/10920277.2001.10596010 · Cited by 89
On the Use of Marginal Likelihood in Time Series Model Estimation
Wilson, G. T. (1989) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1989.tb01745.x · Cited by 89
Labeling of human mesenchymal stromal cells with superparamagnetic iron oxide leads to a decrease in migration capacity and colony formation ability
Schäfer, R., Kehlbach, R., Müller, M., Bantleon, R., Kluba, T., Ayturan, M., Siegel, G., Wolburg, H., Northoff, H., Dietz, K., et al. (2009) · Cytotherapy · doi:10.1080/14653240802666043 · Cited by 88
Smartphone Restriction and Its Effect on Subjective Withdrawal Related Scores
Flaa, T. A., Aarestad, S. H., Andreassen, C. S., Bilder, R. M., & Pallesen, S. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.01444 · Cited by 106
Claims reserving, state-space models and the Kalman filter
de Jong, P., & Zehnwirth, B. (1983) · Journal of the Institute of Actuaries · doi:10.1017/s0020268100041287 · Cited by 88
Intakes of Fruits, Vegetables, Vitamins A, C, and E, and Carotenoids and Risk of Renal Cell Cancer
Lee, J. E., Giovannucci, E. L., Smith‐Warner, S. A., Spiegelman, D. L., Willett, W. C., & Curhan, G. C. (2006) · Cancer Epidemiology Biomarkers & Prevention · doi:10.1158/1055-9965.epi-06-0553 · Cited by 88
Population Pharmacokinetic/Pharmacodynamic Methodology and Applications: A Bibliography
Yuh, L., Beal, S., Davidian, M., Harrison, F., Hester, A., Kowalski, K., Vonesh, E. F., & Wolfinger, R. D. (1994) · Biometrics · doi:10.2307/2533402 · Cited by 88
Maximum likelihood estimation of variance components
Thompson, R. (1980) · Series Statistics · doi:10.1080/02331888008801560 · Cited by 88
Multivariate Phenotype Association Analysis by Marker‐Set Kernel Machine Regression
Maity, A., Sullivan, P. F., & Tzeng, J. (2012) · Genetic Epidemiology · doi:10.1002/gepi.21663 · Cited by 87
Robust Estimation in Generalized Linear Mixed Models
Yau, K. K. W., & Kuk, A. Y. C. (2002) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/1467-9868.00327 · Cited by 87
School-Level Intraclass Correlation for Physical Activity in Adolescent Girls
Murray, D. M., Catellier, D., Hannan, P. J., Treuth, M. S., Stevens, J., Schmitz, K. H., Rice, J. C., & Conway, T. L. (2004) · Medicine & Science in Sports & Exercise · doi:10.1249/01.mss.0000126806.72453.1c · Cited by 88
Predictions for National Football League Games Via Linear-Model Methodology
Harville, D. A. (1980) · Journal of the American Statistical Association · doi:10.1080/01621459.1980.10477504 · Cited by 87
Self-citation
Bayes Factors and Approximations for Variance Component Models
Ankerst, D. P., Wakefield, J. C., & Kass, R. E. (1999) · Journal of the American Statistical Association · doi:10.1080/01621459.1999.10473877 · Cited by 87
Financial Development and TechnologyPreprint
Tadesse, S. (2005) · SSRN Electronic Journal · doi:10.2139/ssrn.681562 · Cited by 87
Statistical Estimation and Testing for Variation Root-Cause Identification of Multistage Manufacturing Processes
Zhou, S., Chen, Y., & Shi, J. (2004) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2004.829427 · Cited by 86
Sampling Designs for Estimating Spatial Variance Components
Pettitt, A. N., & McBratney, A. B. (1993) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.2307/2347420 · Cited by 86
Source Reconstruction Accuracy of MEG and EEG Bayesian Inversion Approaches
Belardinelli, P., Ortiz, E., Barnes, G. R., Noppeney, U., & Preissl, H. T. (2012) · PLoS ONE · doi:10.1371/journal.pone.0051985 · Cited by 85
Estimation and inference in functional mixed-effects models
Antoniadis, A., & Sapatinas, T. (2006) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2006.09.038 · Cited by 85
Applications of generalizability theory and their relations to classical test theory and structural equation modeling.
Vispoel, W. P., Morris, C. A., & Kilinc, M. (2017) · Psychological Methods · doi:10.1037/met0000107 · Cited by 85
A Monte Carlo Study of Alternative Responses To Intraclass Correlation in Community Trials
Murray, D. M., Hannan, P. J., & Baker, W. L. (1996) · Evaluation Review · doi:10.1177/0193841x9602000305 · Cited by 85
Benchmarking in tourism and hospitality industries: the selection of benchmarking partners
Wöber, K. W. (2002) · CABI Publishing eBooks · doi:10.1079/9780851995533.0000 · Cited by 84
Small Area Estimates of Labour Force Participation Under a Multinomial Logit Mixed Model
Molina, I., Saei, A., & Lombardía, M. J. (2007) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/j.1467-985x.2007.00493.x · Cited by 84
Continuous longitudinal regression equations for pulmonary function measures
Sherrill, D. L., Lebowitz, M., Knudson, R. J., & Burrows, B. A. (1992) · European Respiratory Journal · doi:10.1183/09031936.93.05040452 · Cited by 84
Combining information from interlaboratory evaluations using a random effects model
Kacker, R. N. (2004) · Metrologia · doi:10.1088/0026-1394/41/3/004 · Cited by 82
Reliable Phylogenetic Regressions for Multivariate Comparative Data: Illustration with the MANOVA and Application to the Effect of Diet on Mandible Morphology in Phyllostomid Bats
Clavel, J., & Morlon, H. (2020) · Systematic Biology · doi:10.1093/sysbio/syaa010 · Cited by 85
Using fractional polynomials to model non‐linear trends in longitudinal data
Long, J. D., & Ryoo, J. H. (2009) · British Journal of Mathematical and Statistical Psychology · doi:10.1348/000711009x431509 · Cited by 82
Quantifying Sources of Uncertainty in Projections of Future Climate*
Northrop, P. J., & Chandler, R. E. (2014) · Journal of Climate · doi:10.1175/jcli-d-14-00265.1 · Cited by 82
Correcting datasets leads to more homogeneous early-twentieth-century sea surface warming
Chan, D., Kent, E. C., Berry, D. I., & Huybers, P. (2019) · Nature · doi:10.1038/s41586-019-1349-2 · Cited by 81
Variance Component Testing in Multilevel Models
Berkhof, J. H., & Snijders, T. A. B. (2001) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986026002133 · Cited by 81
Onset of insensibility at slaughter in calves: effects of electroplectic seizure and exsanguination on spontaneous electrocortical activity and indices of cerebral metabolism
Bager, F., Braggins, T. J., Devine, C. E., Graafhuis, A. E., Mellor, D. J., Tavener, A., & Upsdell, M. P. (1992) · Research in Veterinary Science · doi:10.1016/0034-5288(92)90005-m · Cited by 80
Stability and reproducibility of brachial artery flow-mediated dilation
Welsch, M. A., Allen, J. D., & Geaghan, J. P. (2002) · Medicine & Science in Sports & Exercise · doi:10.1097/00005768-200206000-00009 · Cited by 80
Application of approximate variances of variance components and their ratios in genetic tests
Dieters, M. J., White, T. L., Littell, R. C., & Hodge, G. R. (1995) · Theoretical and Applied Genetics · doi:10.1007/bf00220853 · Cited by 80
Pathways of human exposure to arsenic in a community surrounding a copper smelter
Polissar, L., Lowry-Coble, K., Kalman, D. A., Hughes, J. P., van Belle, G., Covert, D. S., Burbacher, T. M., Bolgiano, D. C., & Mottet, N. K. (1990) · Environmental Research · doi:10.1016/s0013-9351(05)80128-8 · Cited by 80
Practical Smoothing
Eilers, P. H. C., & Marx, B. D. (2021) · Cambridge University Press eBooks · doi:10.1017/9781108610247 · Cited by 79
Studying Gene and Gene-Environment Effects of Uncommon and Common Variants on Continuous Traits: A Marker-Set Approach Using Gene-Trait Similarity Regression
Tzeng, J., Zhang, D., Pongpanich, M., Smith, C., McCarthy, M. I., Sale, M. M., Worrall, B. B., Hsu, F., Thomas, D. C., & Sullivan, P. F. (2011) · The American Journal of Human Genetics · doi:10.1016/j.ajhg.2011.07.007 · Cited by 82
A Note on Extended Quasi-Likelihood
Davidian, M., & Carroll, R. J. (1988) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1988.tb01712.x · Cited by 79
Sequential Comparison of Changes With Repeated Measurements Data
Lee, J. W., & DeMets, D. L. (1991) · Journal of the American Statistical Association · doi:10.1080/01621459.1991.10475106 · Cited by 79
BLUP (Best Linear Unbiased Prediction) and Beyond
Harville, D. A. (1990) · Advanced series in agricultural sciences · doi:10.1007/978-3-642-74487-7_12 · Cited by 78
Self-citation
Potential use of pervious concrete for maintaining existing mature trees during and after urban development
Volder, A., Watson, T., & Viswanathan, B. (2009) · Urban forestry & urban greening · doi:10.1016/j.ufug.2009.08.006 · Cited by 78
Variance component estimation in animal breeding: a review†
Andreas Hofer, A. (1998) · Journal of Animal Breeding and Genetics · doi:10.1111/j.1439-0388.1998.tb00347.x · Cited by 78
An approach to joint analysis of longitudinal measurements and competing risks failure time data
Elashoff, R. M., Li, G., & Li, N. (2006) · Statistics in Medicine · doi:10.1002/sim.2749 · Cited by 78
Estimation of direct, maternal, and grandmaternal genetic effects for weaning weight in several breeds of beef cattle.
Dodenhoff, J., Vleck, L. D. V., & GREGORY, K. E. (1999) · Journal of Animal Science · doi:10.2527/1999.774840x · Cited by 77
The Use of Linear-Model Methodology to Rate High School or College Football Teams
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480991 · Cited by 77
Self-citation
A Mixed-Effects Model for Categorical Data
Beitler, P. J., & Landis, J. R. (1985) · Biometrics · doi:10.2307/2530970 · Cited by 77
Hierarchical Linear Models for Multivariate Outcomes
Thum, Y. M. (1997) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986022001077 · Cited by 77
Logistic regression with random coefficients
Longford, N. T. (1994) · Computational Statistics & Data Analysis · doi:10.1016/0167-9473(92)00062-v · Cited by 77
The derivation of blup, ML, REML estimation methods for generalised linear mixed models
McGilchrist, C. A., & Yau, K. K. W. (1995) · Communication in Statistics- Theory and Methods · doi:10.1080/03610929508831663 · Cited by 77
Multilevel Analysis of Repeated Measures Data
van der Leeden, R. (1998) · Quality & Quantity · doi:10.1023/a:1004233225855 · Cited by 76
The Use of Two‐Way Linear Mixed Models in Multitreatment Meta‐Analysis
Piepho, H., Williams, E. R., & Madden, L. V. (2012) · Biometrics · doi:10.1111/j.1541-0420.2012.01786.x · Cited by 76
Differentiation of the Cholesky Algorithm
Smith, S. P. (1995) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.1995.10474671 · Cited by 76
Intentionally incomplete longitudinal designs: I. Methodology and comparison of some full span designs
Helms, R. W. (1992) · Statistics in Medicine · doi:10.1002/sim.4780111411 · Cited by 75
A note on smoothing parameter selection for penalized spline smoothing
Kauermann, G. (2003) · Journal of Statistical Planning and Inference · doi:10.1016/j.jspi.2003.09.023 · Cited by 74
The benefits and acceptability of virtual reality interventions for women with metastatic breast cancer in their homes; a pilot randomised trial
Reynolds, L., Cavadino, A., Chin, S., Little, Z., Akroyd, A., Tennant, G., Dobson, R., Broom, R. J., & Gautier, A. (2022) · BMC Cancer · doi:10.1186/s12885-021-09081-z · Cited by 74
Association between childhood maltreatment and social functioning in individuals with affective disorders: A systematic review and meta‐analysis
Fares‐Otero, N. E., Prisco, M. D., Oliva, V., Raduà, J., Halligan, S. L., Vieta, E., & Martínez‐Arán, A. (2023) · Acta Psychiatrica Scandinavica · doi:10.1111/acps.13557 · Cited by 80
Longitudinal Associations of Phthalate Exposures During Childhood and Body Size Measurements in Young Girls
Deierlein, A. L., Wolff, M. S., Pajak, A., Pinney, S. M., Windham, G. C., Galvez, M. P., Silva, M. J., Calafat, A. M., Kushi, L. H., Biro, F. M., et al. (2016) · Epidemiology · doi:10.1097/ede.0000000000000489 · Cited by 74
In spatio-temporal disease mapping models, identifiability constraints affect PQL and INLA results
Goicoa, T., Adín, A., Ugarte, M. D., & Hodges, J. S. (2017) · Stochastic Environmental Research and Risk Assessment · doi:10.1007/s00477-017-1405-0 · Cited by 74
A comparison of the generalized estimating equation approach with the maximum likelihood approach for repeated measurements
Park, T. (1993) · Statistics in Medicine · doi:10.1002/sim.4780121807 · Cited by 74
Optimum prediction of three-way crosses from single crosses in forage maize (Zea mays L.)
Melchinger, A. E., Geiger, H. H., Seitz, G., & Schmidt, G. A. (1987) · Theoretical and Applied Genetics · doi:10.1007/bf00274716 · Cited by 73
Fence methods for mixed model selection
Jiang, J., Rao, J. S., Gu, Z., & Nguyen, T. (2008) · The Annals of Statistics · doi:10.1214/07-aos517 · Cited by 73
Estimation of Variances and Covariances under Multiple Trait Models
Henderson, C. (1984) · Journal of Dairy Science · doi:10.3168/jds.s0022-0302(84)81480-0 · Cited by 73
Longitudinal methods for describing the relationship between pulmonary function, respiratory symptoms and smoking in elderly subjects: the Tucson Study
Sherrill, D., Lebowitz, M., Knudson, R. J., & Burrows, B. A. (1993) · European Respiratory Journal · doi:10.1183/09031936.93.06030342 · Cited by 73
Spatio‐temporal modeling of mortality risks using penalized splines
Ugarte, M. D., Goicoa, T., & Militino, A. F. (2009) · Environmetrics · doi:10.1002/env.1011 · Cited by 72
Conditional Linear Mixed Models
Verbeke, G. N., Spiessens, B., & Lesaffre, E. M. E. H. (2001) · The American Statistician · doi:10.1198/000313001300339905 · Cited by 72
The Link Between Low Self-Esteem and Eating Disorders: A Meta-Analysis of Longitudinal Studies
Krauss, S., Dapp, L. C., & Orth, U. (2023) · Clinical Psychological Science · doi:10.1177/21677026221144255 · Cited by 71
Haplotype-Based Association Analysis via Variance-Components Score Test
Tzeng, J., & Zhang, D. (2007) · The American Journal of Human Genetics · doi:10.1086/521558 · Cited by 71
Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model
Harville, D. A., & Fenech, A. P. (1985) · Biometrics · doi:10.2307/2530650 · Cited by 71
Self-citation
Estimating genetic correlations
Smith, C. A. B. (1980) · Annals of Human Genetics · doi:10.1111/j.1469-1809.1980.tb01560.x · Cited by 71
Correction factors for unbiased, efficient estimation and prediction of biomass from log–log allometric models
Clifford, D. J., Cressie, N., England, J. R., Roxburgh, S. H., & Paul, K. I. (2013) · Forest Ecology and Management · doi:10.1016/j.foreco.2013.08.041 · Cited by 71
Aligning Estimators With Estimands in Clinical Trials: Putting the ICH E9(R1) Guidelines Into Practice
Mallinckrodt, C. H., Bell, J., Liu, G., Ratitch, B., O’Kelly, M., Lipkovich, I. A., Singh, P., Xu, L., & Molenberghs, G. (2019) · Therapeutic Innovation & Regulatory Science · doi:10.1007/s43441-019-00063-9 · Cited by 70
PARAMETRIC ESTIMATION OF COVARIANCES OF REGIONALIZED VARIABLES1
Kitanidis, P. K. (1987) · JAWRA Journal of the American Water Resources Association · doi:10.1111/j.1752-1688.1987.tb00832.x · Cited by 70
Restricted Maximum Likelihood Estimation of Variance Components in Animal Model Using Sparse Matrix Inversion and a Supercomputer
Misztal, I. (1990) · Journal of Dairy Science · doi:10.3168/jds.s0022-0302(90)78660-2 · Cited by 70
The effects of airway hyperresponsiveness, wheezing, and atopy on longitudinal pulmonary function in children: A 6‐year follow‐up study
Sherrill, D. L., Sears, M. R., Lebowitz, M. D., Holdaway, M. D., Hewitt, C. J., Flannery, E. M., Herbison, P., & Silva, P. A. (1992) · Pediatric Pulmonology · doi:10.1002/ppul.1950130204 · Cited by 70
Bridging the Gap Between Deterministic and Probabilistic Uncertainty Quantification Using Advanced Proxy Based Methods
Goodwin, N. H. (2015) · SPE Reservoir Simulation Conference · doi:10.2118/173301-ms · Cited by 69
Complementary Relationships Between Corporate Philanthropy and Corporate Political Activity
Hadani, M., & Coombes, S. M. T. (2012) · Business & Society · doi:10.1177/0007650312463691 · Cited by 72
Prediction of genetic merit from data on binary and quantitative variates with an application to calving difficulty, birth weight and pelvic opening
Foulley, J., Gianola, D., & Thompson, R. (1983) · Génétique Sélection Évolution · doi:10.1051/gse:19830305 · Cited by 69
Intakes of coffee, tea, milk, soda and juice and renal cell cancer in a pooled analysis of 13 prospective studies
Lee, J. E., Hunter, D. J., Spiegelman, D. L., Adami, H., Bernstein, L., van den Brandt, P. A., Buring, J. E., Cho, E., English, D. R., Folsom, A. R., et al. (2007) · International Journal of Cancer · doi:10.1002/ijc.22909 · Cited by 69
Estimation of variance components with quasi‐continuous data using Bayesian methods
Hoeschele, I., Gianola, D., & Foulley, J. L. (1987) · Journal of Animal Breeding and Genetics · doi:10.1111/j.1439-0388.1987.tb00141.x · Cited by 69
Estimation of the Intraclass Correlation Coefficient for the Analysis of Covariance Model
Stanish, W. M., & Taylor, N. (1983) · The American Statistician · doi:10.1080/00031305.1983.10483107 · Cited by 68
Monte Carlo results on several new and existing tests for the error component model
Baltagi, B. H., Chang, Y.-J., & Li, Q. (1992) · Journal of Econometrics · doi:10.1016/0304-4076(92)90101-v · Cited by 68

Authors: Harville, D. A.
Affiliations: Iowa State University (US)
Corresponding author: Harville, David A.
Venue: Journal of the American Statistical Association
Publisher: Informa UK Limited
Published: 1977-06
Volume: 72
Issue: 358
Pages: 320-338
ISSN: 0162-1459 (ISSN-L)
1537-274X
DOI: 10.1080/01621459.1977.10480998
OpenAlex: W1982585616
Cited by: 2,667
References: 86
Citations by year: 2026: 56 · 2025: 62 · 2024: 72 · 2023: 86 · 2022: 113 · 2021: 73 · 2020: 71 · 2019: 77 · 2018: 75 · 2017: 79 · 2016: 69 · 2015: 76 · 2014: 114 · 2013: 70 · 2012: 109
FWCI: 16.91
Type: journal article
Language: en
Open access: closed
Locations: Journal of the American Statistical Association (publishedVersion)
Defense Technical Information Center (DTIC) (submittedVersion)
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
Keywords: variance component estimation, maximum likelihood estimation, restricted maximum likelihood, fixed and random effects, iterative methods, asymptotic theory, mixed models

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems

Abstract

Overview

Integrity signals

Verification

Claims the paper makes

Claims other papers make about this one

Citations

Cites

Cited by

Related

Metadata

Record

About these checks