1 |
Fletcher R and Powell MJD (1963). A rapidly convergent descent method for minimization, Computer Journal, 6, 163-168.
DOI
|
2 |
Khuri AI, Mukherjee B, Sinha BK, and Gosh M (2006). Design issues for generalized linear models: a review, Statistical Science, 21, 376-399.
DOI
|
3 |
Lawley DN (1956). A general method for approximating to the distribution of likelihood ratio criteria, Biometrika, 43, 295-303.
DOI
|
4 |
Lehmann EL (1999). Elements of Large Sample Theory, Springer-Verlag, New York.
|
5 |
McCullagh P and Nelder JA (1989). Generalized Linear Models (2nd ed), Chapman and Hall, London.
|
6 |
Mehr Mansour S and Niaparast M (2019). The effect of small sample on optimal designs for logistic regression models, Communications in Statistics-Theory and Methods, 48, 2893-2903.
DOI
|
7 |
Nelder JA and Wedderburn RWM (1972). Generalized linear models, Journal of the Royal Statistical Society, Series A, 135, 370-384.
DOI
|
8 |
Poursina D and Talebi H (2013). Modified D-optimal design for logistic model, Journal of Statistical Computation and Simulation, 84, 428-437.
DOI
|
9 |
Pronzato L and Pazman A (2013). Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties, volume 212 of Lecture Notes in Statistics, Springer, New York.
|
10 |
Russell KG, Eccleston JA, Lewis SM, and Woods DC (2009a). Design considerations for small experiments and simple logistic regression, Journal of Statistical Computation and Simulation, 79, 81-91.
DOI
|
11 |
Russell KG,Woods DC, Lewis SM, and Eccleston JA (2009b). D-optimal designs for Poisson regression models, Statistica Sinica, 19, 721-730.
|
12 |
Searle SR, Casella G, and McCulloch CE (1992). Variance Components, Wiley, New York.
|
13 |
Firth D (1993). Bias reduction of maximum likelihood estimates, Biometrica, 80, 27-38.
DOI
|
14 |
Wang Y, Myers RH, Smith EP, and Ye K (2006a). D-optimal designs for Poisson regression models, Journal of Statistical Planning Inference, 136, 2831-2845.
DOI
|
15 |
Wang Y, Smith EP, and Ye K (2006b). Sequential designs for a Poisson regression model in toxicological and medical studies, Journal of Statistical Planning Inference, 136, 3187-3202.
DOI
|
16 |
Coxe S, West SG, and Aiken LS (2009). The analysis of count data: a gentle introduction to Poisson regression and its alternatives, Journal of Personality Assessment, 91, 121-136.
DOI
|
17 |
Barndorff-Nielsen OE and Cox DR (1994). Inference and Asymptotics, Chapman and Hall, London.
|
18 |
Box GEP and Draper NR (1959). A basis for the selection of a response surface design, Journal of the American Statistical Association, 54, 622-654.
DOI
|
19 |
Cameron AC and Trivedi PK (2013). Regression Analysis of Count Data, Cambridge University Press, New York.
|
20 |
Chen Y and Ye K (2009). Bayesian hierarchical modeling on dual response surfaces in partially replicated designs, Quality Technology and Quantitative Management, 6, 371-389.
DOI
|