Analysis of oligonucleotide array experiments with repeated measures using mixed models. 2004

Hao Li, and Constance L Wood, and Thomas V Getchell, and Marilyn L Getchell, and Arnold J Stromberg
Department of Statistics, 815 Patterson Office Tower, University of Kentucky, Lexington, Kentucky 40506-0027, USA. lhao@uky.edu

BACKGROUND Two or more factor mixed factorial experiments are becoming increasingly common in microarray data analysis. In this case study, the two factors are presence (Patients with Alzheimer's disease) or absence (Control) of the disease, and brain regions including olfactory bulb (OB) or cerebellum (CER). In the design considered in this manuscript, OB and CER are repeated measurements from the same subject and, hence, are correlated. It is critical to identify sources of variability in the analysis of oligonucleotide array experiments with repeated measures and correlations among data points have to be considered. In addition, multiple testing problems are more complicated in experiments with multi-level treatments or treatment combinations. RESULTS In this study we adopted a linear mixed model to analyze oligonucleotide array experiments with repeated measures. We first construct a generalized F test to select differentially expressed genes. The Benjamini and Hochberg (BH) procedure of controlling false discovery rate (FDR) at 5% was applied to the P values of the generalized F test. For those genes with significant generalized F test, we then categorize them based on whether the interaction terms were significant or not at the alpha-level (alphanew = 0.0033) determined by the FDR procedure. Since simple effects may be examined for the genes with significant interaction effect, we adopt the protected Fisher's least significant difference test (LSD) procedure at the level of alphanew to control the family-wise error rate (FWER) for each gene examined. CONCLUSIONS A linear mixed model is appropriate for analysis of oligonucleotide array experiments with repeated measures. We constructed a generalized F test to select differentially expressed genes, and then applied a specific sequence of tests to identify factorial effects. This sequence of tests applied was designed to control for gene based FWER.

UI MeSH Term Description Entries
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D008957 Models, Genetic Theoretical representations that simulate the behavior or activity of genetic processes or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Genetic Models,Genetic Model,Model, Genetic
D009830 Olfactory Bulb Ovoid body resting on the CRIBRIFORM PLATE of the ethmoid bone where the OLFACTORY NERVE terminates. The olfactory bulb contains several types of nerve cells including the mitral cells, on whose DENDRITES the olfactory nerve synapses, forming the olfactory glomeruli. The accessory olfactory bulb, which receives the projection from the VOMERONASAL ORGAN via the vomeronasal nerve, is also included here. Accessory Olfactory Bulb,Olfactory Tract,Bulbus Olfactorius,Lateral Olfactory Tract,Main Olfactory Bulb,Olfactory Glomerulus,Accessory Olfactory Bulbs,Bulb, Accessory Olfactory,Bulb, Main Olfactory,Bulb, Olfactory,Bulbs, Accessory Olfactory,Bulbs, Main Olfactory,Bulbs, Olfactory,Glomerulus, Olfactory,Lateral Olfactory Tracts,Main Olfactory Bulbs,Olfactorius, Bulbus,Olfactory Bulb, Accessory,Olfactory Bulb, Main,Olfactory Bulbs,Olfactory Bulbs, Accessory,Olfactory Bulbs, Main,Olfactory Tract, Lateral,Olfactory Tracts,Olfactory Tracts, Lateral,Tract, Lateral Olfactory,Tract, Olfactory,Tracts, Lateral Olfactory,Tracts, Olfactory
D002531 Cerebellum The part of brain that lies behind the BRAIN STEM in the posterior base of skull (CRANIAL FOSSA, POSTERIOR). It is also known as the "little brain" with convolutions similar to those of CEREBRAL CORTEX, inner white matter, and deep cerebellar nuclei. Its function is to coordinate voluntary movements, maintain balance, and learn motor skills. Cerebella,Corpus Cerebelli,Parencephalon,Cerebellums,Parencephalons
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D003627 Data Interpretation, Statistical Application of statistical procedures to analyze specific observed or assumed facts from a particular study. Data Analysis, Statistical,Data Interpretations, Statistical,Interpretation, Statistical Data,Statistical Data Analysis,Statistical Data Interpretation,Analyses, Statistical Data,Analysis, Statistical Data,Data Analyses, Statistical,Interpretations, Statistical Data,Statistical Data Analyses,Statistical Data Interpretations
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000465 Algorithms A procedure consisting of a sequence of algebraic formulas and/or logical steps to calculate or determine a given task. Algorithm
D000544 Alzheimer Disease A degenerative disease of the BRAIN characterized by the insidious onset of DEMENTIA. Impairment of MEMORY, judgment, attention span, and problem solving skills are followed by severe APRAXIAS and a global loss of cognitive abilities. The condition primarily occurs after age 60, and is marked pathologically by severe cortical atrophy and the triad of SENILE PLAQUES; NEUROFIBRILLARY TANGLES; and NEUROPIL THREADS. (From Adams et al., Principles of Neurology, 6th ed, pp1049-57) Acute Confusional Senile Dementia,Alzheimer's Diseases,Dementia, Alzheimer Type,Dementia, Senile,Presenile Alzheimer Dementia,Senile Dementia, Alzheimer Type,Alzheimer Dementia,Alzheimer Disease, Early Onset,Alzheimer Disease, Late Onset,Alzheimer Sclerosis,Alzheimer Syndrome,Alzheimer Type Senile Dementia,Alzheimer's Disease,Alzheimer's Disease, Focal Onset,Alzheimer-Type Dementia (ATD),Dementia, Presenile,Dementia, Primary Senile Degenerative,Early Onset Alzheimer Disease,Familial Alzheimer Disease (FAD),Focal Onset Alzheimer's Disease,Late Onset Alzheimer Disease,Primary Senile Degenerative Dementia,Senile Dementia, Acute Confusional,Alzheimer Dementias,Alzheimer Disease, Familial (FAD),Alzheimer Diseases,Alzheimer Type Dementia,Alzheimer Type Dementia (ATD),Alzheimers Diseases,Dementia, Alzheimer,Dementia, Alzheimer-Type (ATD),Familial Alzheimer Diseases (FAD),Presenile Dementia,Sclerosis, Alzheimer,Senile Dementia
D012984 Software Sequential operating programs and data which instruct the functioning of a digital computer. Computer Programs,Computer Software,Open Source Software,Software Engineering,Software Tools,Computer Applications Software,Computer Programs and Programming,Computer Software Applications,Application, Computer Software,Applications Software, Computer,Applications Softwares, Computer,Applications, Computer Software,Computer Applications Softwares,Computer Program,Computer Software Application,Engineering, Software,Open Source Softwares,Program, Computer,Programs, Computer,Software Application, Computer,Software Applications, Computer,Software Tool,Software, Computer,Software, Computer Applications,Software, Open Source,Softwares, Computer Applications,Softwares, Open Source,Source Software, Open,Source Softwares, Open,Tool, Software,Tools, Software

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