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Comparative Poisson trials for comparing multiple new treatments to the control
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
Comparative Poisson trials for comparing multiple new treatments to the control
Identifier
ETD_2893
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056370
Language
LanguageTerm
(authority = ISO639-2);
(type = code)
eng
Genre
(authority = marcgt)
theses
Subject
(ID = SBJ-1);
(authority = RUETD)
Topic
Statistics and Biostatistics
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
Poisson distribution
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Multiple comparisons (Statistics)
Abstract
(type = abstract)
Comparative Poisson Trials often test interventions to prevent rare adverse binomial outcomes. We extend Gail’s “Design A” approach to continues the trial until a predetermined total number of disease cases, D, occur into comparing K>1, treatments to one control. Controlling overall type I error and a post-hoc procedures to identify which treatments are better are addressed. With the Poisson as the underlying distribution, conditioning on D disease cases total, the number in each group is multinomial distributed with parameters that depend on the incidence ratios of treatment to the control arms. Rejection regions based on the 1) numbers of cases that occur in control and/or 2) minimum number of cases among treatment groups are considered to test the global null hypothesis that no treatment is superior to the control. A tool known as the stochastic matrix simplifies size and power computations. Decision rules which are robust to some treatments being inferior to the control are discussed. There is no uniformly most powerful test against all alternatives, but rejection regions should have the Lower Left Quadrant Rule property. The discreteness of multinomial complicates derivation of theoretical results. Still, some identities are proven for comparing K=2 treatments to the control that we believe will extend to K ≥ 3. For K=2, the post-hoc procedure that applies standard binomial tests to each individual treatment vs. control hypothesis when the global hypothesis is rejected is superior to the Bonferroni adjustment; reducing by 7 % to 18 % the follow up disease cases required for the range of settings we studied. We considered unbalanced allocation of follow up time to treatment and control groups. While discreteness of the multinomial distribution prevents analytic solution, a systematic point by point search that computes powers for a range of treatment / control allocation ratios with small increments is applied to find the optimum allocation ratio. In most cases the optimum allocation ratios do not perform substantially better than equal allocation in terms of minimization of the D or expected subject time needed to obtain D for given Type-1 error or power.
PhysicalDescription
Form
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electronic resource
Extent
xiv, 91 p. : ill.
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application/pdf
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text/xml
Note
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Ph.D.
Note
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Includes bibliographical references
Note
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Includes vita
Note
(type = statement of responsibility)
by Tzu-Lin Hsu
Name
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(type = personal)
NamePart
(type = family)
Hsu
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(type = given)
Tzu-lin
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(type = date)
1981-
Role
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author
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Tzu-lin Hsu
Name
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NamePart
(type = family)
Hoover
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(type = given)
Donald R
Role
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chair
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Advisory Committee
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Donald R Hoover
Name
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NamePart
(type = family)
Xie
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(type = given)
Minge
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internal member
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Advisory Committee
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Minge Xie
Name
(ID = NAME-4);
(type = personal)
NamePart
(type = family)
Hung
NamePart
(type = given)
Ying
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internal member
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Advisory Committee
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Ying Hung
Name
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(type = personal)
NamePart
(type = family)
Xue
NamePart
(type = given)
Xiaonan
Role
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(authority = RULIB)
outside member
Affiliation
Advisory Committee
DisplayForm
Xiaonan Xue
Name
(ID = NAME-1);
(type = corporate)
NamePart
Rutgers University
Role
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(authority = RULIB)
degree grantor
Name
(ID = NAME-2);
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NamePart
Graduate School - New Brunswick
Role
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(authority = RULIB)
school
OriginInfo
DateCreated
(qualifier = exact)
2010
DateOther
(qualifier = exact);
(type = degree)
2010-10
Place
PlaceTerm
(type = code)
xx
RelatedItem
(type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
Location
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/T3FJ2GHX
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
(AUTHORITY = GS);
(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder
(ID = PRH-1);
(type = personal)
Name
FamilyName
Hsu
GivenName
Tzu-lin
Role
Copyright Holder
RightsEvent
(ID = RE-1);
(AUTHORITY = rulib)
Type
Permission or license
DateTime
2010-09-29 20:42:37
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(AUTHORITY = rulib)
Role
Copyright holder
Name
Tzu-lin Hsu
Affiliation
Rutgers University. Graduate School - New Brunswick
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License
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Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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Technical
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ETD
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application/pdf
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application/x-tar
FileSize
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788480
Checksum
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957c2a9c08624be31d8df9424350de740310adbf
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