Approximate Local D-optimal Experimental Design for Binary Response
نویسنده
چکیده
A fast and simple method is proposed that produces approximate multivariate local D-optimal designs of high e¢ ciency for models with binary response. The method assumes availability of a D-optimal design for a parallel normal response linear problem that has the same linear predictor, with an assumption of homogenous variance; the change required to transform the standard design into an e¢ cient one for a multivariate logit or probit model is to shift any design point whose probability is very low or very high (and is therefore non-informative) into the nearest feasible point of moderate probability.
منابع مشابه
Process Improvement of Experimental Measurements Using D-optimal Models
In this paper, the application of D-optimal models, as an alternative to response surface models (RS models) for design of experiment (DOE) was examined. Two D-optimal models for tilt-rotors in the wind tunnel experiment, as a form of quadratic functions, were generated based on a chosen optimality criterion. This optimality criterion was used to generate the optimized sampled points in the des...
متن کاملOn Rank-Ordered Nested Multinomial Logit Model and D-Optimal Design for this Model
In contrast to the classical discrete choice experiment, the respondent in a rank-order discrete choice experiment, is asked to rank a number of alternatives instead of the preferred one. In this paper, we study the information matrix of a rank order nested multinomial logit model (RO.NMNL) and introduce local D-optimality criterion, then we obtain Locally D-optimal design for RO.NMNL models in...
متن کاملApproximate cost-efficient sequential designs for binary response models with application to switching measurements
The efficiency of an experimental design is ultimately measured in terms of time and resources needed for the experiment. Optimal sequential (multi-stage) design is studied in the situation where each stage involves a fixed cost. The problem is motivated by switching measurements on superconducting Josephson junctions. In this quantum mechanical experiment, the sequences of current pulses are a...
متن کاملDesignation of a Palm-Free Frying Oil Formulation Based on Sunflower, Canola, Corn and Sesame Oils Using D-Optimal Mixture Design
Background and Objectives: Oils used in frying should include special characteristics such as high oxidative stability, prolonged shelf life, low price, abundance and availability and desirable flavors. Nowadays, consumers are further interested in low saturated frying oils. Recently, manufacturers focus on eliminating palm oil derivatives (as a major vegetable source of saturation) from fryin...
متن کاملFormulation and Optimization of Captopril Sublingual Tablet Using D-Optimal Design Sublingual Tablet Using D-Optimal Design
The objective of the current study was to develop and optimize a sublingual tablet formulation of captopril which is an effective drug in the treatment of hypertension. Captopril containing tablets were prepared by direct compression method using different ingredients such as polyvinyl pyrrolidone, starch 1500, sodium starch glycolate and lactose (independent variables) and magnesium stearate, ...
متن کامل