Abstract
The delta method is utilized to construct an asymptotic 100(1 - a)% confidence interval for the response at the stationary point of a quadratic response surface. The end-points of the interval can be found directly compared to other more computationally intense procedures that result in a conservative interval. The coverage probability associated with intervals constructed in this manner from studies with relatively small numbers of observations is investigated via a simulation study. Finally the methodology is illustrated with an example involving the evaluation of a combination of cytotoxic agents in the treatment of murine LI210 leukemia.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 287-301 |
| Number of pages | 15 |
| Journal | Journal of Biopharmaceutical Statistics |
| Volume | 1 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 1991 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Pharmacology
- Pharmacology (medical)
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An asymptotic confidence interval for the response at the stationary point of a quadratic response surface. / Chinchilli, Vernon; Carter, Walter H.; Campbell, Eleanor D.; Breen, Timothy J.
In: Journal of Biopharmaceutical Statistics, Vol. 1, No. 2, 01.01.1991, p. 287-301.Research output: Contribution to journal › Article
TY - JOUR
T1 - An asymptotic confidence interval for the response at the stationary point of a quadratic response surface
AU - Chinchilli, Vernon
AU - Carter, Walter H.
AU - Campbell, Eleanor D.
AU - Breen, Timothy J.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - The delta method is utilized to construct an asymptotic 100(1 - a)% confidence interval for the response at the stationary point of a quadratic response surface. The end-points of the interval can be found directly compared to other more computationally intense procedures that result in a conservative interval. The coverage probability associated with intervals constructed in this manner from studies with relatively small numbers of observations is investigated via a simulation study. Finally the methodology is illustrated with an example involving the evaluation of a combination of cytotoxic agents in the treatment of murine LI210 leukemia.
AB - The delta method is utilized to construct an asymptotic 100(1 - a)% confidence interval for the response at the stationary point of a quadratic response surface. The end-points of the interval can be found directly compared to other more computationally intense procedures that result in a conservative interval. The coverage probability associated with intervals constructed in this manner from studies with relatively small numbers of observations is investigated via a simulation study. Finally the methodology is illustrated with an example involving the evaluation of a combination of cytotoxic agents in the treatment of murine LI210 leukemia.
UR - http://www.scopus.com/inward/record.url?scp=0026361967&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026361967&partnerID=8YFLogxK
U2 - 10.1080/10543409108835024
DO - 10.1080/10543409108835024
M3 - Article
C2 - 1844701
AN - SCOPUS:0026361967
VL - 1
SP - 287
EP - 301
JO - Journal of Biopharmaceutical Statistics
JF - Journal of Biopharmaceutical Statistics
SN - 1054-3406
IS - 2
ER -