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Optimal or balanced experimental des...

Temple University.

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Optimal or balanced experimental designs under dependence.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimal or balanced experimental designs under dependence./
作者:	Sethuraman, Venkat S.
面頁冊數:	101 p.
附註:	Adviser: Damaraju Raghavarao.
Contained By:	Dissertation Abstracts International69-01B.
標題:	Biology, Biostatistics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3300377
ISBN:	9780549447054

Optimal or balanced experimental designs under dependence.
Sethuraman, Venkat S.

Optimal or balanced experimental designs under dependence. - 101 p.

Adviser: Damaraju Raghavarao.

Thesis (Ph.D.)--Temple University, 2008.

This research work is focused on the optimal factorial and fractional-factorial designs when observations within blocks are correlated. The topic for this dissertation was motivated by a problem where the pharmaceutical experimenter needed to develop a controlled release, once-daily tablet formulation. Typically, in order to compare different formulations, trials are conducted in healthy human volunteers where each formulation is administered and bioavailability is estimated. Since each subject is administered more than one formulation, the observations within subjects are correlated.

ISBN: 9780549447054Subjects--Topical Terms:

1018416
Biology, Biostatistics.

Optimal or balanced experimental designs under dependence.
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245 1 0 $a Optimal or balanced experimental designs under dependence.
300 $a 101 p.
500 $a Adviser: Damaraju Raghavarao.
500 $a Source: Dissertation Abstracts International, Volume: 69-01, Section: B, page: 0399.
502 $a Thesis (Ph.D.)--Temple University, 2008.
520 $a This research work is focused on the optimal factorial and fractional-factorial designs when observations within blocks are correlated. The topic for this dissertation was motivated by a problem where the pharmaceutical experimenter needed to develop a controlled release, once-daily tablet formulation. Typically, in order to compare different formulations, trials are conducted in healthy human volunteers where each formulation is administered and bioavailability is estimated. Since each subject is administered more than one formulation, the observations within subjects are correlated.
520 $a We have characterized D-optimal designs for s n symmetric factorial experiments when observations within blocks are correlated. In Chapter 3, compound symmetry correlation structure within blocks is discussed. We have provided an explicit construction of D-optimal designs for sn factorial experiments with blocks of size s or multiples of s. The construction of optimal designs for 2n factorial experiments is discussed in detail. It often happens that one or more observations from the factorial experiment may be missing. The problem where missing values are confined to one block has been discussed.
520 $a In Chapter 4, auto-correlation error structure is discussed. Balanced designs for 2n factorial experiments have been characterized, when observations within blocks are spatially correlated, AR(1) with positive correlation (rho > 0). An explicit construction of balanced designs for both 2n full and 2 n-1 fractional factorial experiments has been presented.
520 $a In Chapter 5, response surface designs under dependence (auto correlation error structure) has been considered. The structure of X'X matrix under independence (where X is the design matrix) is known. In our construction, sufficient conditions have been provided to achieve this structure under dependence. The construction has been illustrated using examples of a Central Composite Design (CCD) for n = 2 and n = 3, which are rotatable. Similarly among the class of Box-Behnken Design (BBH), we have considered designs for n = 4 in 6 blocks and n = 7 in 7 blocks constructed using the concepts of balanced incomplete block designs.
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