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**Harvard**

Burman, C. (1996) *On Sequential Treatment Allocations in Clinical Trials*. Göteborg : Chalmers University of Technology

** BibTeX **

@book{

Burman1996,

author={Burman, Carl-Fredrik},

title={On Sequential Treatment Allocations in Clinical Trials},

abstract={This dissertation treats baseline-dependent sequential designs of two-treatment parallel-group clinical trials. The treatment assignments are chosen in order to minimize the variance, in a linear model, of the treatment effect. This is done for each new allocation using a generalized biased coin design, or a non-randomized minimization' method.<p /> For the minimization' method, the balance process is shown to be tight. It follows that the loss, defined roughly as the number of patients lost d ue to imbalance, is of order <I>N</I> <sup>1</sup> (where <I>N</I> is the trial size).<p /> The ANCOVA statistic is used in both parametric and randomization tests when the design is randomized. Deficiency (or second-order efficiency), of design and analysis combin ed, is defined in terms of expected p-value. The asymptotic deficiency of the randomization analysis following a biased coin design is obtained when prognostic factors are ignored. It can be arbitrarily close to zero re lative the balanced t-test when assuming a normal model. Similar results, when prognostic variables are used, are indicated by simulations.<p /> As a comparison, the expected loss and asymptotic expected p-value deficiency, relative a balanced parametric test, equal the number of prognostic variables when using independent randomizations.<p /> AMS 1991 subject classification: 62L05, 60K30, 62G10, 62P10},

publisher={Institutionen för matematik, Chalmers tekniska högskola,},

place={Göteborg},

year={1996},

keywords={treatment assignment, clinical trial, biased coin designs, balance of prognostic factors, sequential design, randomization test, expected p-value, deficiency, efficiency},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 1117

A1 Burman, Carl-Fredrik

T1 On Sequential Treatment Allocations in Clinical Trials

YR 1996

AB This dissertation treats baseline-dependent sequential designs of two-treatment parallel-group clinical trials. The treatment assignments are chosen in order to minimize the variance, in a linear model, of the treatment effect. This is done for each new allocation using a generalized biased coin design, or a non-randomized minimization' method.<p /> For the minimization' method, the balance process is shown to be tight. It follows that the loss, defined roughly as the number of patients lost d ue to imbalance, is of order <I>N</I> <sup>1</sup> (where <I>N</I> is the trial size).<p /> The ANCOVA statistic is used in both parametric and randomization tests when the design is randomized. Deficiency (or second-order efficiency), of design and analysis combin ed, is defined in terms of expected p-value. The asymptotic deficiency of the randomization analysis following a biased coin design is obtained when prognostic factors are ignored. It can be arbitrarily close to zero re lative the balanced t-test when assuming a normal model. Similar results, when prognostic variables are used, are indicated by simulations.<p /> As a comparison, the expected loss and asymptotic expected p-value deficiency, relative a balanced parametric test, equal the number of prognostic variables when using independent randomizations.<p /> AMS 1991 subject classification: 62L05, 60K30, 62G10, 62P10

PB Institutionen för matematik, Chalmers tekniska högskola,

LA eng

OL 30