Statistical inference for treatments versus a control
Thesis (Ph.D.)--Memorial University of Newfoundland, 2002. Mathematics and Statistics Bibliography: leaves 148-157 The treatments versus a control problem occurs in many scientific fields, with a major portion in medical research. Its primary goal is to determine if the response to one or more treat...
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ftmemorialunivdc:oai:collections.mun.ca:theses3/134234 2023-05-15T17:23:32+02:00 Statistical inference for treatments versus a control Peng, Jianan, 1966- Memorial University of Newfoundland. Dept. of Mathematics and Statistics 2002 xi, 157 leaves : ill. Image/jpeg; Application/pdf http://collections.mun.ca/cdm/ref/collection/theses3/id/134234 Eng eng Electronic Theses and Dissertations (15.88 MB) -- http://collections.mun.ca/PDFs/theses/Peng_Jianan.pdf a1562314 http://collections.mun.ca/cdm/ref/collection/theses3/id/134234 The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries Order statistics Placebos (Medicine) Text Electronic thesis or dissertation 2002 ftmemorialunivdc 2015-08-06T19:20:11Z Thesis (Ph.D.)--Memorial University of Newfoundland, 2002. Mathematics and Statistics Bibliography: leaves 148-157 The treatments versus a control problem occurs in many scientific fields, with a major portion in medical research. Its primary goal is to determine if the response to one or more treatments differ from the response to a control or existing standard and if so, further to identify which treatments are better than the control. In many experiments, one often has a prior knowledge that the treatments are at least as effective as the control. It is well known that utilization of ordering information increases the efficiency of statistical inference procedures. The aim of this thesis is to develop some new statistical inference procedures for the problem by utilizing the prior information. -- In particular, simultaneous confidence lower bounds for the differences between treatment means and the control mean are considered. Efficient computation algorithms are proposed to obtain the optimal lower bounds between the best treatment mean and the control mean. Multiple contrast tests which take account of the prior knowledge play an important role in this thesis. -- Power studies via simulation compare the new proposed procedures with Dunnett's procedure and the likelihood ratio test. The new proposed procedures are also illustrated by some real data sets. Thesis Newfoundland studies University of Newfoundland Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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English |
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Order statistics Placebos (Medicine) |
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Order statistics Placebos (Medicine) Peng, Jianan, 1966- Statistical inference for treatments versus a control |
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Order statistics Placebos (Medicine) |
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Thesis (Ph.D.)--Memorial University of Newfoundland, 2002. Mathematics and Statistics Bibliography: leaves 148-157 The treatments versus a control problem occurs in many scientific fields, with a major portion in medical research. Its primary goal is to determine if the response to one or more treatments differ from the response to a control or existing standard and if so, further to identify which treatments are better than the control. In many experiments, one often has a prior knowledge that the treatments are at least as effective as the control. It is well known that utilization of ordering information increases the efficiency of statistical inference procedures. The aim of this thesis is to develop some new statistical inference procedures for the problem by utilizing the prior information. -- In particular, simultaneous confidence lower bounds for the differences between treatment means and the control mean are considered. Efficient computation algorithms are proposed to obtain the optimal lower bounds between the best treatment mean and the control mean. Multiple contrast tests which take account of the prior knowledge play an important role in this thesis. -- Power studies via simulation compare the new proposed procedures with Dunnett's procedure and the likelihood ratio test. The new proposed procedures are also illustrated by some real data sets. |
author2 |
Memorial University of Newfoundland. Dept. of Mathematics and Statistics |
format |
Thesis |
author |
Peng, Jianan, 1966- |
author_facet |
Peng, Jianan, 1966- |
author_sort |
Peng, Jianan, 1966- |
title |
Statistical inference for treatments versus a control |
title_short |
Statistical inference for treatments versus a control |
title_full |
Statistical inference for treatments versus a control |
title_fullStr |
Statistical inference for treatments versus a control |
title_full_unstemmed |
Statistical inference for treatments versus a control |
title_sort |
statistical inference for treatments versus a control |
publishDate |
2002 |
url |
http://collections.mun.ca/cdm/ref/collection/theses3/id/134234 |
genre |
Newfoundland studies University of Newfoundland |
genre_facet |
Newfoundland studies University of Newfoundland |
op_source |
Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries |
op_relation |
Electronic Theses and Dissertations (15.88 MB) -- http://collections.mun.ca/PDFs/theses/Peng_Jianan.pdf a1562314 http://collections.mun.ca/cdm/ref/collection/theses3/id/134234 |
op_rights |
The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. |
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