Sökning: "locally optimal design"

Visar resultat 1 - 5 av 21 avhandlingar innehållade orden locally optimal design.

1. 1. Topics in optimal design of experiments

   Författare :Sofia Normark; Hans Nyquist; Johan Lyhagen; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; optimal design; factorial experiments; minimax designs; efficiency; locally optimal designs; generalized linear models; binary data; statistik; Statistics;

   Sammanfattning : This thesis contributes to optimal design of experiments in situations where the optimal design depends on unknown parameters. Such situations often occur when the response variable does not have normal distribution, as is the case with many generalized linear models (GLM) and many models for binary response. LÄS MER

3. 2. Optimal design for dose-finding studies

   Författare :Renata Eirini Tsirpitzi; Frank Miller; Kirsten Schorning; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MEDICIN OCH HÄLSOVETENSKAP; MEDICAL AND HEALTH SCIENCES; bivariate model; distortion; drug combination; Elfving set; Emax model; Fedorov algorithm; mixed effects models; optimal experimental design; Statistics; statistik;

   Sammanfattning : One of the most complex tasks during the clinical development of a new drug is to find a correct dose. Optimal experimental design has as a goal to find the best ways to perform an experiment considering the available resources and the statistical model. Optimal designs have already been used to determine the design of dose-finding studies. LÄS MER

4. 3. Optimal Design of Experiments for the Quadratic Logistic Model

   Författare :Ellinor Fackle Fornius; Hans Nyquist; Christos Kitsos; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Logistic regression; D-optimality; c-optimality; Canonical design space; Maximum likelihood estimation; Sequential design; Stochastic approximation; Statistics; Statistik; statistik; Statistics;

   Sammanfattning : Optimal design of experiments for binary data is the topic of this thesis. A particular logistic model including a quadratic term in the linear predictor is considered. Determining an optimal design for this model is complicated by the fact that the optimal design is dependent on the unknown true parameters. LÄS MER

5. 4. Optimal adaptive designs and adaptive randomization techniques for clinical trials

   Författare :Yevgen Ryeznik; Warwick Tucker; Andrew Hooker; Franz König; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; optimal designs; optimal adaptive designs; randomization in clinical trials; restricted randomization; adaptive randomization; unequal cost; allocation ratio preserving randomization procedures; heterogeneous costs; multi-arm clinical trials; randomization-based inference; unequal allocation; Tillämpad matematik och statistik; Applied Mathematics and Statistics;

   Sammanfattning : In this Ph.D. thesis, we investigate how to optimize the design of clinical trials by constructing optimal adaptive designs, and how to implement the design by adaptive randomization. LÄS MER

7. 5. Optimal Design and Inference for Correlated Bernoulli Variables using a Simplified Cox Model

   Författare :Daniel Bruce; Hans Nyquist; Werner G. Müller; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cox binary model; correlated binary data; log-odds ratio; D-optimality; E-optimality; power maximization; efficiency; Statistics; Statistik; statistik; Statistics;

   Sammanfattning : This thesis proposes a simplification of the model for dependent Bernoulli variables presented in Cox and Snell (1989). The simplified model, referred to as the simplified Cox model, is developed for identically distributed and dependent Bernoulli variables. LÄS MER