TY - JOUR
T1 - Optimally selected chi square statistics for equivalence testing
AU - Betensky, Rebecca A.
N1 - Funding Information:
I thank Dr. Howard Lederman and the LPA focus group of the AIDS Clinical Trials Group for permission to use the LPA data. This research was supported in part by the Statistical and Data Analysis Center of the AIDS Clinical Trials Group, NIAID # N01-AI-95030 and NIH grant CA 75971.
PY - 2001/2
Y1 - 2001/2
N2 - In some experiments, the aim is to establish equivalence between treatment groups, rather than to establish greater efficacy of one group over another. Examples are drug bioavailability studies, in which it is desired to exhibit bioequivalence between a new formulation of a drug and the standard formulation, and studies of experimental conditions for biological assays, in which it is desired to exhibit equivalent assay response between fresh and non-fresh specimens. In many cases, the outcome measure is continuous, but the investigator prefers to dichotomize it on the basis of a threshold. If the threshold is selected to make the test statistic most favorable for equivalence, standard chi square percentile points are incorrect. Here, we derive asymptotically correct percentile points and significance levels for two approaches to equivalence testing.
AB - In some experiments, the aim is to establish equivalence between treatment groups, rather than to establish greater efficacy of one group over another. Examples are drug bioavailability studies, in which it is desired to exhibit bioequivalence between a new formulation of a drug and the standard formulation, and studies of experimental conditions for biological assays, in which it is desired to exhibit equivalent assay response between fresh and non-fresh specimens. In many cases, the outcome measure is continuous, but the investigator prefers to dichotomize it on the basis of a threshold. If the threshold is selected to make the test statistic most favorable for equivalence, standard chi square percentile points are incorrect. Here, we derive asymptotically correct percentile points and significance levels for two approaches to equivalence testing.
KW - 62F03
KW - 62L10
KW - Boundary crossing
KW - Brownian motion
KW - Discrete sequential boundary
KW - Maximal selection
UR - http://www.scopus.com/inward/record.url?scp=0042694366&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042694366&partnerID=8YFLogxK
U2 - 10.1016/S0378-3758(00)00204-4
DO - 10.1016/S0378-3758(00)00204-4
M3 - Article
AN - SCOPUS:0042694366
SN - 0378-3758
VL - 93
SP - 247
EP - 257
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 1-2
ER -