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...

Full description

Bibliographic Details
Main Authors: Michael J. Adjabui, Nathaniel K. Howard, Mathias Akamba
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2019/3249097
id doaj-b147eb663bc4452fa63b1448d9ece52b
record_format Article
spelling doaj-b147eb663bc4452fa63b1448d9ece52b2020-11-25T00:40:29ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Michael J. Adjabui
Nathaniel K. Howard
Mathias Akamba
spellingShingle Michael J. Adjabui
Nathaniel K. Howard
Mathias Akamba
Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
Journal of Probability and Statistics
author_facet Michael J. Adjabui
Nathaniel K. Howard
Mathias Akamba
author_sort Michael J. Adjabui
title Biostatistical Assessment of Mutagenicity Studies: A Stepwise Confidence Procedure
title_short 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_sort biostatistical assessment of mutagenicity studies: a stepwise confidence procedure
publisher Hindawi Limited
series Journal of Probability and Statistics
issn 1687-952X
1687-9538
publishDate 2019-01-01
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.
url http://dx.doi.org/10.1155/2019/3249097
work_keys_str_mv AT michaeljadjabui biostatisticalassessmentofmutagenicitystudiesastepwiseconfidenceprocedure
AT nathanielkhoward biostatisticalassessmentofmutagenicitystudiesastepwiseconfidenceprocedure
AT mathiasakamba biostatisticalassessmentofmutagenicitystudiesastepwiseconfidenceprocedure
_version_ 1725289717228896256