The Resource Two stage adaptive optimal design with applications to dose-finding clinical trials, by Adam Lane

Two stage adaptive optimal design with applications to dose-finding clinical trials, by Adam Lane

Label
Two stage adaptive optimal design with applications to dose-finding clinical trials
Title
Two stage adaptive optimal design with applications to dose-finding clinical trials
Statement of responsibility
by Adam Lane
Title variation
2 state adaptive optimal design with applications to dose finding clinical trials
Creator
Contributor
Author
Thesis advisor
Subject
Language
eng
Summary
In adaptive optimal designs, each stage uses an estimate of the locally optimal design derived using cumulative data from all prior stages. This dependency on prior stages affects the properties of maximum likelihood estimates. To illuminate the effects, we assume for simplicity a nonlinear regression model with normal errors and that there are only two stages with a fixed first stage design point. Fisher's information is motivated for adaptive designs by deriving the Cramer-Rao lower bound for such experiments. Then the usefulness of Fisher's information is shown from both a design and analysis perspective. From a design perspective Fisher's information is used in a procedure that is developed to select the proportion of observations assigned to the first stage. From an analysis perspective the information measure most commonly used in the optimal design literature is compared with Fisher's information. Several estimates of information are compared and a procedure for selecting the proportion of subjects allocated to stage 1 is recommended. Asymptotics for regular models with fixed number of stages are typically motivated by assuming the sample size of each stage goes to infi nity as the overall sample size goes to in finity. However, it is not uncommon for a small pilot study of fixed size to be followed by a much larger experiment. We show that the distribution of the maximum likelihood estimates converges to a scale mixture family of normal random variables
Cataloging source
MUU
http://library.link/vocab/creatorName
Lane, Adam
Degree
Ph. D.
Dissertation note
Thesis
Dissertation year
2013.
Government publication
government publication of a state province territory dependency etc
Granting institution
University of Missouri--Columbia
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • theses
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1947-
http://library.link/vocab/relatedWorkOrContributorName
Flournoy, Nancy
http://library.link/vocab/subjectName
Experimental design
Label
Two stage adaptive optimal design with applications to dose-finding clinical trials, by Adam Lane
Instantiates
Publication
Note
  • "A Dissertation examination presented to the Faculty of the Graduate School at the University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
  • Dissertation Supervisor: Dr. Nancy Flournoy
  • Vita
Bibliography note
Includes bibliographical references (pages 118-127)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
870535279
Extent
1 online resource (xiv, 127 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)870535279
Label
Two stage adaptive optimal design with applications to dose-finding clinical trials, by Adam Lane
Publication
Note
  • "A Dissertation examination presented to the Faculty of the Graduate School at the University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
  • Dissertation Supervisor: Dr. Nancy Flournoy
  • Vita
Bibliography note
Includes bibliographical references (pages 118-127)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
870535279
Extent
1 online resource (xiv, 127 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)870535279

Library Locations

  • St. Louis Mercantile LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • Thomas Jefferson LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • University ArchivesBorrow it
    703 Lewis Hall, Columbia, MO, 65211, US
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • Ward E Barnes Education LibraryBorrow it
    8001 Natural Bridge Rd, St. Louis, MO, 63121, US
    38.707079 -90.311355
Processing Feedback ...