EurekaMag
+ Most Popular
Cunninghamia lanceolata plantations in China
Mammalian lairs in paleo ecological studies and palynology
Studies on technological possibilities in utilization of anhydrous milk fat for production of recombined butter-like products
Should right-sided fibroelastomas be operated upon?
Large esophageal lipoma
Apoptosis in the mammalian thymus during normal histogenesis and under various in vitro and in vivo experimental conditions
Poissons characoides nouveaux ou non signales de l'Ilha do Bananal, Bresil
Desensitizing efficacy of Colgate Sensitive Maximum Strength and Fresh Mint Sensodyne dentifrices
Administration of fluid by subcutaneous infusion: revival of a forgotten method
Tundra mosquito control - an impossible dream?
Schizophrenia for primary care providers: how to contribute to the care of a vulnerable patient population
Geochemical pattern analysis; method of describing the Southeastern limestone regional aquifer system
Incidence of low birth weights in a hospital of Mexico City
Tabanidae
Graded management intensity of grassland systems for enhancing floristic diversity
Microbiology and biochemistry of cheese and fermented milk
The ember tetra: a new pygmy characid tetra from the Rio das Mortes, Brazil, Hyphessobrycon amandae sp. n. (Pisces, Characoidei)
Risk factors of contrast-induced nephropathy in patients after coronary artery intervention
Renovation of onsite domestic wastewater in a poorly drained soil
Observations of the propagation velocity and formation mechanism of burst fractures caused by gunshot
Systolic blood pressure in a population of infants in the first year of life: the Brompton study
Haematological studies in rats fed with metanil yellow
Studies on pasteurellosis. I. A new species of Pasteurella encountered in chronic fowl cholera
Dormancy breaking and germination of Acacia salicina Lindl. seeds
therapy of lupus nephritis. a two-year prospective study

D-optimal cohort designs for linear mixed-effects models


D-optimal cohort designs for linear mixed-effects models



Statistics in Medicine 27(14): 2586-2600



ISSN/ISBN: 0277-6715

PMID: 17726724

DOI: 10.1002/sim.3045

The D-optimality criterion is used to construct optimal designs for different numbers of independent cohorts, which constitute a number of repeated measurements per subject over time. A cost function for longitudinal data is proposed, and the optimality criterion is optimized taking into account the cost of the study. First, an optimal number of design points for a given number of cohorts and cost was identified. Then, an optimal number of cohorts is identified by comparing the relative efficiencies (REs). A numerical study shows that for models describing the trend of a continuous outcome over time by polynomials, the most efficient number of repeated measurements is equal to the sum of the total number of cohorts and the degree of the polynomial in the model. REs of a purely longitudinal cohort design with only one cohort, and mixed longitudinal and cross-sectional cohort designs with more cohorts are compared. The results show that a purely longitudinal cohort design with only one cohort of subjects measured at the optimal time points is the most efficient design. The findings in this paper show that one can obtain a highly efficient design for parameter estimation with only a few repeated measurements. The results of this study will reduce the cost of data collection and ease the logistical burdens in cohort studies.

Please choose payment method:






(PDF emailed within 0-6 h: $19.90)

Accession: 030789661

Download citation: RISBibTeXText

Related references

Optimal designs for empirical bayes estimators of individual linear and quadratic growth curves in linear mixed models. Statistical Methods in Medical Research 18(4): 397-419, 2009

Sequential D-optimal designs for generalized linear mixed models. Journal of Statistical Planning and Inference 141(4): 1394-1402, 2011

The effect of dropout on the efficiency of D-optimal designs of linear mixed models. Statistics in Medicine 27(14): 2601-2617, 2008

Robust designs for linear mixed effects models. Journal of the Royal Statistical Society: Series C 53(4): 569-581, 2004

Robust Designs for Linear Mixed Effects Models. Journal of the Royal Statistical Society: Series C 53(4): 569-581, 2004

Maximin D-Optimal Designs for Longitudinal Mixed Effects Models. Biometrics 58(4): 735-741, 2002

Optimal designs for main effects in linear paired comparison models. Journal of Statistical Planning and Inference 126(1): 361-376, 2004

Optimum designs for non-linear mixed effects models in the presence of covariates. Biometrics 73(3): 927-937, 2017

Strip-plot designs, mixed models, and comparisons between linear and non-linear models for microtitre plate bioassays. Developments in Biologicals 107: 11-23, 2002

Optimal designs in growth curve models: Part I Correlated model for linear growth: Optimal designs for slope parameter estimation and growth prediction. Journal of Statistical Planning and Inference 64(1): 141-150, 1997

Strip-plot designs, mixed models, and comparisons between linear and non-linear models for microtitre plate bioassays : General assay performance characteristics: Statistical measures. The Design and Analysis of Potency Assays for Biotechnology Products. Symposium 107: 11-23, 2002

On D-optimal designs for linear models under correlated observations with an application to a linear model with multiple response. Journal of Statistical Planning and Inference 37(1): 69-80, 1993

Applying Linear Mixed Effects Models (LMMs) in Within-Participant Designs With Subjective Trial-Based Assessments of Awareness-a Caveat. Frontiers in Psychology 9: 788, 2018

An Optimal Test for Variance Components of Multivariate Mixed-Effects Linear Models. Journal of Multivariate Analysis 124, 2014

Optimal Partitioning for Linear Mixed Effects Models: Applications to Identifying Placebo Responders. Journal of the American Statistical Association 105(491): 968-977, 2010