%0 Journal Article %1 Edwards1987 %A Edwards, D %A Berry, J J %D 1987 %J Biometrics %K AnalysisofVariance Animals Biological CapillaryPermeability Cats ComputerSimulation Decapoda(Crustacea) Fishes Mathematics Models PredatoryBehavior Probability ResearchDesign %N 4 %P 913-28 %T The efficiency of simulation-based multiple comparisons. %U http://www.ncbi.nlm.nih.gov/pubmed/3427176 %V 43 %X A frequently encountered problem in practice is that of simultaneous interval estimation of p linear combinations of a parameter beta in the setting of (or equivalent to) a univariate linear model. This problem has been solved adequately only in a few settings when the covariance matrix of the estimator is diagonal; in other cases, conservative solutions can be obtained by the methods of Scheffé, Bonferroni, or Sidák (1967, Journal of the American Statistical Association 62, 626-633). Here we investigate the efficiency of using a simulated critical point for exact intervals, which has been suggested before but never put to serious test. We find the simulation-based method to be completely reliable and essentially exact. Sample size savings are substantial (in our settings): 3-19% over the Sidák method, 4-37% over the Bonferroni method, and 27-33% over the Scheffé method. We illustrate the efficiency and flexibility of the simulation-based method with case studies in physiology and marine ecology. %@ 0006-341X; 0006-341X

@article{Edwards1987, abstract = {A frequently encountered problem in practice is that of simultaneous interval estimation of p linear combinations of a parameter beta in the setting of (or equivalent to) a univariate linear model. This problem has been solved adequately only in a few settings when the covariance matrix of the estimator is diagonal; in other cases, conservative solutions can be obtained by the methods of Scheffé, Bonferroni, or Sidák (1967, Journal of the American Statistical Association 62, 626-633). Here we investigate the efficiency of using a simulated critical point for exact intervals, which has been suggested before but never put to serious test. We find the simulation-based method to be completely reliable and essentially exact. Sample size savings are substantial (in our settings): 3-19% over the Sidák method, 4-37% over the Bonferroni method, and 27-33% over the Scheffé method. We illustrate the efficiency and flexibility of the simulation-based method with case studies in physiology and marine ecology.}, added-at = {2023-02-03T11:44:35.000+0100}, author = {Edwards, D and Berry, J J}, biburl = {https://www.bibsonomy.org/bibtex/2b602290ced613a3c04e29fc896f74b8a/jepcastel}, city = {Department of Statistics, University of South Carolina, Columbia 29208.}, interhash = {98f84025f984f3860023b6dadf0bed96}, intrahash = {b602290ced613a3c04e29fc896f74b8a}, isbn = {0006-341X; 0006-341X}, issn = {0006-341X}, journal = {Biometrics}, keywords = {AnalysisofVariance Animals Biological CapillaryPermeability Cats ComputerSimulation Decapoda(Crustacea) Fishes Mathematics Models PredatoryBehavior Probability ResearchDesign}, month = {12}, note = {7102<m:linebreak></m:linebreak>LR: 20071114; GR: GM36977-01/GM/NIGMS NIH HHS/United States; GR: R01 GM34870-01/GM/NIGMS NIH HHS/United States; GR: R01 HL24314/HL/NHLBI NIH HHS/United States; GR: etc.; JID: 0370625; ppublish;<m:linebreak></m:linebreak>Comparacions múltiples}, number = 4, pages = {913-28}, pmid = {3427176}, timestamp = {2023-02-03T11:44:35.000+0100}, title = {The efficiency of simulation-based multiple comparisons.}, url = {http://www.ncbi.nlm.nih.gov/pubmed/3427176}, volume = 43, year = 1987 }