Article
On Two Measures of Unbalancedness in a One‐Way Model and Their Relation to Efficiency
Abstract
This paper discusses two measures of unbalancedness in a one‐way model and shows that for a given statistical procedure they may serve as measures of efficiency of a design. They also allow to compare for example estimation methods for variance components in designs with a fixed level of unbalancedness.
Citing Literature
Number of times cited according to CrossRef: 60
- Badi H. Baltagi, Long Liu, Forecasting with unbalanced panel data, Journal of Forecasting, 10.1002/for.2646, 39, 5, (709-724), (2020).
- Maria Simona Andreano, Roberto Benedetti, Federica Piersimoni, Giovanni Savio, Mapping Poverty of Latin American and Caribbean Countries from Heaven Through Night-Light Satellite Images, Social Indicators Research, 10.1007/s11205-020-02267-1, (2020).
- Vincent Hopkins, It's coming from inside the House (of Commons): Agenda control, accountability, and interest group lobbying in majoritarian parliaments, Governance, 10.1111/gove.12454, 33, 3, (693-710), (2019).
- Marius Amba, Taoufiki Mbratana, Spatial Incomplete Panel Data Models with Two-Way Error Components, SSRN Electronic Journal, 10.2139/ssrn.3333832, (2019).
- Sithanonxay Suvannaphakdy, Hsiao Chink Tang, Alisa DiCaprio, Assessing the trade impacts of the ASEAN + 6 FTA for Lao PDR, Asian-Pacific Economic Literature, 10.1111/apel.12148, 30, 2, (72-89), (2016).
- Heba A. El Leithy, Zakaria A. Abdel Wahed, Mohamed S. Abdallah, On non-negative estimation of variance components in mixed linear models, Journal of Advanced Research, 10.1016/j.jare.2015.02.001, 7, 1, (59-68), (2016).
- Francis Ruvuna, Unequal Center Sizes, Sample Size, and Power in Multicenter Clinical Trials, Drug Information Journal, 10.1177/009286150403800409, 38, 4, (387-394), (2016).
- Xuhua Liu, Xingzhong Xu, Confidence distribution inferences in one-way random effects model, TEST, 10.1007/s11749-015-0440-8, 25, 1, (59-74), (2015).
- Xuhua Liu, Xingzhong Xu, Jan Hannig, Least squares generalized inferences in unbalanced two-component normal mixed linear model, Computational Statistics, 10.1007/s00180-015-0604-8, 31, 3, (973-988), (2015).
- Julia Poirier, GY Zou, John Koval, Confidence intervals for a difference between lognormal means in cluster randomization trials, Statistical Methods in Medical Research, 10.1177/0962280214552291, 26, 2, (598-614), (2014).
- H. Ahrens, J. Sanchez, Unbalancedness of Designs, Measures of, Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (2014).
- Badi H. Baltagi, Bernard Fingleton, Alain Pirotte, Spatial lag models with nested random effects: An instrumental variable procedure with an application to English house prices, Journal of Urban Economics, 10.1016/j.jue.2013.10.006, 80, (76-86), (2014).
- Zheng Xu, David A. Hennessy, Kavita Sardana, GianCarlo Moschini, The Realized Yield Effect of Genetically Engineered Crops: U.S. Maize and Soybean, Crop Science, 10.2135/cropsci2012.06.0399, 53, 3, (735-745), (2013).
- Badi H. Baltagi, Alain Pirotte, Prediction in an Unbalanced Nested Error Components Panel Data Model, Journal of Forecasting, 10.1002/for.2272, 32, 8, (755-768), (2013).
- Ren-Dao Ye, Tie-Feng Ma, Kun Luo, Inferences on the reliability in balanced and unbalanced one-way random models, Journal of Statistical Computation and Simulation, 10.1080/00949655.2012.741598, 84, 5, (1136-1153), (2012).
- Chafik Bouhaddioui, Mohamed Y. El-Bassiouni, Kilani Ghoudi, Interval estimation of variance ratio in non-normal unbalanced one-way random models, Journal of Statistical Computation and Simulation, 10.1080/00949655.2012.741600, 84, 6, (1329-1344), (2012).
- Johannes Sauer, David Zilberman, Sequential technology implementation, network externalities, and risk: the case of automatic milking systems, Agricultural Economics, 10.1111/j.1574-0862.2012.00579.x, 43, 3, (233-252), (2012).
- André I. Khuri, Thomas Mathew, Bimal K. Sinha, Measures of Data Imbalance, Statistical Texts for Mixed Linear Models, undefined, (53-94), (2011).
- André I. Khuri, Thomas Mathew, Bimal K. Sinha, General Bibliography, Statistical Texts for Mixed Linear Models, undefined, (335-343), (2011).
- Brent D. Burch, Confidence intervals for variance components in unbalanced one-way random effects model using non-normal distributions, Journal of Statistical Planning and Inference, 10.1016/j.jspi.2011.06.015, 141, 12, (3793-3807), (2011).
- M. Corsino, R. Gabriele, Product innovation and firm growth: evidence from the integrated circuit industry, Industrial and Corporate Change, 10.1093/icc/dtq050, 20, 1, (29-56), (2010).
- Andreas Stierwald, Determinants of Profitability: An Analysis of Large Australian Firms, SSRN Electronic Journal, 10.2139/ssrn.1632749, (2010).
- Jielai Ma, Wim P. M. Vijverberg, Five Diagnostic Tests for Unobserved Cluster Effects, Communications in Statistics - Simulation and Computation, 10.1080/03610918.2010.489170, 39, 6, (1212-1227), (2010).
- Timo Mitze, Björn Alecke, Gerhard Untiedt, Trade-FDI Linkages in a System of Gravity Equations for German Regional Data, SSRN Electronic Journal, 10.2139/ssrn.1373791, (2009).
- Ren-Dao Ye, Song-Gui Wang, Assessing Occupational Exposure via the Unbalanced One-Way Random Effects Model, Communications in Statistics - Simulation and Computation, 10.1080/03610910802491726, 38, 2, (308-317), (2009).
- Boris Lokshin, Further results on bias in dynamic unbalanced panel data models with an application to firm R&D investment, Applied Economics Letters, 10.1080/13504850701367270, 16, 12, (1227-1233), (2009).
- Chul Ahn, Fan Hu, Celette Sugg Skinner, Effect of imbalance and intracluster correlation coefficient in cluster randomized trials with binary outcomes, Computational Statistics & Data Analysis, 10.1016/j.csda.2008.09.007, 53, 3, (596-602), (2009).
- David Storms, Philippe Aubry, Jean-Luc Hamann, Sonia Saïd, Hervé Fritz, Christine Saint-Andrieux, François Klein, Seasonal variation in diet composition and similarity of sympatric red deer Cervus elaphus and roe deer Capreolus capreolus, Wildlife Biology, 10.2981/0909-6396(2008)14[237:SVIDCA]2.0.CO;2, 14, 2, (237-250), (2008).
- Juneyoung Lee, André I. Khuri, Kee Whan Kim, Sangkon Lee, On the size of the F -test for the one-way random model with heterogeneous error variances , Journal of Statistical Computation and Simulation, 10.1080/10629360600569105, 77, 6, (443-455), (2007).
- Lydia Lera Marqués, Measures of Imbalance for Higher Order Designs, Biometrical Journal, 10.1002/bimj.4710360408, 36, 4, (481-490), (2007).
- Heinz J. Ahrens, Jesús E. Sánchez, H. Ahrens, J. Sánchez, Imbalance and its Influence on Variance Component Estimation, Biometrical Journal, 10.1002/bimj.4710340504, 34, 5, (539-555), (2007).
- Allan Donner, John J. Koval, The effect of imbalance on significance- testing in one- way model ii analysis of variance, Communications in Statistics - Theory and Methods, 10.1080/03610928908829964, 18, 4, (1239-1250), (2007).
- A. I. Khuri, Measures of Imbalance for Unbalanced Models, Biometrical Journal, 10.1002/bimj.4710290402, 29, 4, (383-396), (2007).
- A. Donner, J. J. Koval, A Procedure for Generating Group Sizes from a One‐way Classification with a Specified Degree of Imbalance, Biometrical Journal, 10.1002/bimj.4710290212, 29, 2, (181-187), (2007).
- R. Trommer, Estimation of the Mean in a Variance Component Model ‐ a Comparison of Estimation Procedures of ANOVA, MINQ and Sampling Theory, Biometrical Journal, 10.1002/bimj.4710270402, 27, 4, (363-373), (2007).
- H. Ahrens, J. Sanchez, Unbalancedness and Efficiency in Estimating Components of Variance: MINQUE and ANOVA Procedure, Biometrical Journal, 10.1002/bimj.4710240704, 24, 7, (649-661), (2007).
- H. Ahrens, J. Kleffe, R. Tenzler, Mean Square Error Comparison for MINQUE, ANOVA and Two Alternative Estimators Under the Unbalanced One‐Way Random Model, Biometrical Journal, 10.1002/bimj.4710230402, 23, 4, (323-342), (2007).
- Allan Donner, Michael Eliasziw, Neil Klar, A comparison of methods for testing homogeneity of proportions in teratologic studies, Statistics in Medicine, 10.1002/sim.4780131207, 13, 12, (1253-1264), (2006).
- One-Way Classification, Analysis of Variance for Random Models, 10.1007/b138864, (93-163), (2005).
- Juneyoung Lee, André I. Khuri, KeeWhan Kim, Modeling the coverage probability of a confidence interval on the among-group variance component in the unbalanced random one-way model, Computational Statistics, 10.1007/BF02789704, 20, 2, (275-294), (2005).
- Comparison of MIVQUE Estimators Using EQDGs for the One-way Random Model with Unbalanced Data, Korean Journal of Applied Statistics, 10.5351/KJAS.2005.18.2.411, 18, 2, (411-420), (2005).
- XINMIN LI, GUOYING LI, Confidence Intervals on Sum of Variance Components with Unbalanced Designs, Communications in Statistics - Theory and Methods, 10.1081/STA-200054391, 34, 4, (833-845), (2005).
- Dong Joon Park, Soo Jin Lee, Alternative Confidence Intervals on the Sum of Variance Components in a Simple Regression Model with Unbalanced Nested Error Structure, Communications for Statistical Applications and Methods, 10.5351/CKSS.2005.12.1.087, 12, 1, (87-100), (2005).
- James X. Song, Adjusted homogeneity tests of odds ratios when data are clustered, Pharmaceutical Statistics, 10.1002/pst.95, 3, 2, (81-87), (2004).
- H. Ahrens, J. Sanchez, Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic, Norman L. Johnson, Unbalancedness of Designs, Measures of, Encyclopedia of Statistical Sciences, 10.1002/0471667196, (2004).
- M.Y. El‐Bassiouni, A.M. Halawa, A Combined Invariant Test for a Null Variance Ratio, Biometrical Journal, 10.1002/bimj.200390010, 45, 2, (249-259), (2003).
- Juneyoung Lee, The Effect of Design Imbalance on the Power of the F‐test of a Variance Component in the One‐Way Random Model, Biometrical Journal, 10.1002/bimj.200390009, 45, 2, (238-248), (2003).
- Badi H. Baltagi, Seuck H. Song, Byoung C. Jung, A comparative study of alternative estimators for the unbalanced two‐way error component regression model, The Econometrics Journal, 10.1111/1368-423X.t01-1-00094, 5, 2, (480-493), (2003).
- James X. Song, Chul Ahn, Cluster Randomization Trials: A Simulation Study, Biometrical Journal, 10.1002/1521-4036(200204)44:3<375::AID-BIMJ375>3.0.CO;2-S, 44, 3, (375-390), (2002).
- Badi H. Baltagi, Seuck Heun Song, Byoung Cheol Jung, SIMPLE LM TESTS FOR THE UNBALANCED NESTED ERROR COMPONENT REGRESSION MODEL, Econometric Reviews, 10.1081/ETC-120014347, 21, 2, (167-187), (2002).
- Juneyoung Lee, André I. Khuri, COMPARISON OF CONFIDENCE INTERVALS ON THE AMONG-GROUP VARIANCE COMPONENT FOR THE UNBALANCED ONE-WAY RANDOM MODEL, Communications in Statistics - Simulation and Computation, 10.1081/SAC-9687280, 31, 1, (35-47), (2002).
- Peter Davis, Estimating multi-way error components models with unbalanced data structures, Journal of Econometrics, 10.1016/S0304-4076(01)00087-2, 106, 1, (67-95), (2002).
- Badi H. Baltagi, Seuck Heun Song, Byoung Cheol Jung, The unbalanced nested error component regression model, Journal of Econometrics, 10.1016/S0304-4076(00)00089-0, 101, 2, (357-381), (2001).
- Werner Antweiler, Nested random effects estimation in unbalanced panel data, Journal of Econometrics, 10.1016/S0304-4076(00)00086-5, 101, 2, (295-313), (2001).
- M.Y. El-Bassiouni, M.E.M. Abdelhafez, Interval estimation of the mean in a two-stage nested model, Journal of Statistical Computation and Simulation, 10.1080/00949650008812049, 67, 4, (333-350), (2000).
- M.Y. El-Bassiouni, J.F. Seely, A modified harmonic mean test procedure for variance components, Journal of Statistical Planning and Inference, 10.1016/0378-3758(95)00018-6, 49, 3, (319-326), (1996).
- AndréI. Khuri, A method for determining the effect of imbalance, Journal of Statistical Planning and Inference, 10.1016/0378-3758(95)00185-9, 55, 1, (115-129), (1996).
- Badi H. Baltagi, Young-Jae Chang, Incomplete panels, Journal of Econometrics, 10.1016/0304-4076(94)90017-5, 62, 2, (67-89), (1994).
- M. Y. El-Bassiouni, Short confidence intervals for variance components, Communications in Statistics - Theory and Methods, 10.1080/03610929408831364, 23, 7, (1915-1933), (1994).
- Rahul Mukerjee, Optimality of balanced designs for minimum norm quadratic unbiased estimation of variance components, Metrika, 10.1007/BF02613519, 37, 1, (181-188), (1990).
