Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure

The paper addresses the issue of identifying the maximum safe dose in the context of noninferiority trials where several doses of toxicological compounds exist. Statistical methodology for identifying the maximum safe dose is available for three-arm noninferiority designs with only one experimental...

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Main Authors: Michael J. Adjabui, Nathaniel K. Howard, Mathias Akamba
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2019/3249097
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author Michael J. Adjabui
Nathaniel K. Howard
Mathias Akamba
author_facet Michael J. Adjabui
Nathaniel K. Howard
Mathias Akamba
author_sort Michael J. Adjabui
collection DOAJ
description The paper addresses the issue of identifying the maximum safe dose in the context of noninferiority trials where several doses of toxicological compounds exist. Statistical methodology for identifying the maximum safe dose is available for three-arm noninferiority designs with only one experimental drug treatment. Extension of this methodology for several experimental groups exists but with multiplicity adjustment. However, if the experimental or the treatment groups can be ordered a priori according to their treatment effect, then multiplicity adjustment is unneeded. Assuming homogeneity of variances across dose group in normality settings, we employed the generalized Fieller’s confidence interval method in a multiple comparison stepwise procedure by incorporating the partitioning principle in order to control the familywise error rate (FWER). Simulation results revealed that the procedure properly controlled the FWER in strong sense. Also, the power of our procedure increases with increasing sample size and the ratio of mean differences. We illustrate our procedure with mutagenicity dataset from a clinical study.
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institution Kabale University
issn 1687-952X
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spelling doaj-art-b147eb663bc4452fa63b1448d9ece52b2025-02-03T01:20:27ZengWileyJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/32490973249097Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence ProcedureMichael J. Adjabui0Nathaniel K. Howard1Mathias Akamba2Department of Mathematics, University for Development Studies, Navrongo, GhanaDepartment of Statistics, University of Cape Coast, Cape Coast, GhanaDepartment of Statistics, University for Development Studies, Navrongo, GhanaThe paper addresses the issue of identifying the maximum safe dose in the context of noninferiority trials where several doses of toxicological compounds exist. Statistical methodology for identifying the maximum safe dose is available for three-arm noninferiority designs with only one experimental drug treatment. Extension of this methodology for several experimental groups exists but with multiplicity adjustment. However, if the experimental or the treatment groups can be ordered a priori according to their treatment effect, then multiplicity adjustment is unneeded. Assuming homogeneity of variances across dose group in normality settings, we employed the generalized Fieller’s confidence interval method in a multiple comparison stepwise procedure by incorporating the partitioning principle in order to control the familywise error rate (FWER). Simulation results revealed that the procedure properly controlled the FWER in strong sense. Also, the power of our procedure increases with increasing sample size and the ratio of mean differences. We illustrate our procedure with mutagenicity dataset from a clinical study.http://dx.doi.org/10.1155/2019/3249097
spellingShingle Michael J. Adjabui
Nathaniel K. Howard
Mathias Akamba
Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
Journal of Probability and Statistics
title Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
title_full Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
title_fullStr Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
title_full_unstemmed Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
title_short Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
title_sort biostatistical assessment of mutagenicity studies a stepwise confidence procedure
url http://dx.doi.org/10.1155/2019/3249097
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AT nathanielkhoward biostatisticalassessmentofmutagenicitystudiesastepwiseconfidenceprocedure
AT mathiasakamba biostatisticalassessmentofmutagenicitystudiesastepwiseconfidenceprocedure