TY - JOUR
T1 - Design and analysis of intra-subject variability in cross-over experiments
AU - Chinchilli, Vernon M.
AU - Esinhart, James D.
PY - 1996/8/15
Y1 - 1996/8/15
N2 - Recently, interest has grown in the development of inferential techniques to compare treatment variabilities in the setting of a cross-over experiment. In particular, comparison of treatments with respect to intra-subject variability has greater interest than has inter-subject variability. We begin with a presentation of a general approach for statistical inference within a cross-over design. We discuss three different statistical models where model choice depends on the design and assumptions about carry-over effects. Each model incorporates t-variate random subject effects, where t is the number of treatments. We develop maximum likelihood (ML) and restricted maximum likelihood (REML) approaches to derive parameter estimators and we consider a special case in which closed-form expressions for the variance component estimators are available. Finally, we illustrate the methodologies with the analysis of data from three examples.
AB - Recently, interest has grown in the development of inferential techniques to compare treatment variabilities in the setting of a cross-over experiment. In particular, comparison of treatments with respect to intra-subject variability has greater interest than has inter-subject variability. We begin with a presentation of a general approach for statistical inference within a cross-over design. We discuss three different statistical models where model choice depends on the design and assumptions about carry-over effects. Each model incorporates t-variate random subject effects, where t is the number of treatments. We develop maximum likelihood (ML) and restricted maximum likelihood (REML) approaches to derive parameter estimators and we consider a special case in which closed-form expressions for the variance component estimators are available. Finally, we illustrate the methodologies with the analysis of data from three examples.
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U2 - 10.1002/(SICI)1097-0258(19960815)15:15<1619::AID-SIM326>3.0.CO;2-N
DO - 10.1002/(SICI)1097-0258(19960815)15:15<1619::AID-SIM326>3.0.CO;2-N
M3 - Article
C2 - 8858786
AN - SCOPUS:0029744834
SN - 0277-6715
VL - 15
SP - 1619
EP - 1634
JO - Statistics in Medicine
JF - Statistics in Medicine
IS - 15
ER -