Statistical analysis of single-copy assays when some observations are zero

Observational and interventional studies for HIV cure research often use single-copy assays to quantify rare entities in blood or tissue samples. Statistical analysis of such measurements presents challenges due to tissue sampling variability and frequent findings of 0 copies in the sample analysed....

Full description

Bibliographic Details
Main Authors: Peter Bacchetti, Ronald J. Bosch, Eileen P. Scully, Xutao Deng, Michael P. Busch, Steven G. Deeks, Sharon R. Lewin
Format: Article
Language:English
Published: Elsevier 2019-07-01
Series:Journal of Virus Eradication
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2055664020300479
_version_ 1819295839667879936
author Peter Bacchetti
Ronald J. Bosch
Eileen P. Scully
Xutao Deng
Michael P. Busch
Steven G. Deeks
Sharon R. Lewin
author_facet Peter Bacchetti
Ronald J. Bosch
Eileen P. Scully
Xutao Deng
Michael P. Busch
Steven G. Deeks
Sharon R. Lewin
author_sort Peter Bacchetti
collection DOAJ
description Observational and interventional studies for HIV cure research often use single-copy assays to quantify rare entities in blood or tissue samples. Statistical analysis of such measurements presents challenges due to tissue sampling variability and frequent findings of 0 copies in the sample analysed. We examined four approaches to analysing such studies, reflecting different ways of handling observations of 0 copies: (A) replace observations of 0 copies with 1 copy; (B) add 1 to all observed numbers of copies; (C) treat observations of 0 copies as left-censored at 1 copy; and (D) leave the data unaltered and apply a method for count data, negative binomial regression. Because research seeks to estimate general patterns rather than individuals’ values, we argue that unaltered use of 0 copies is suitable for research purposes and that altering those observations can introduce bias. When applied to a simulated study comparing preintervention to postintervention measurements within 12 participants, methods A–C showed more attenuation than method D in the estimated intervention effect, less chance of finding P < 0.05 for the intervention effect and a lower chance of including the true intervention effect within the 95% confidence interval. Application of the methods to actual data from a study comparing multiply-spliced HIV RNA among men and women estimated smaller differences by methods A–C than by method D. We recommend that negative binomial regression, which is readily available in many statistical software packages, be considered for analysis of studies of rare entities that are measured by single-copy assays.
first_indexed 2024-12-24T04:48:36Z
format Article
id doaj.art-45874b23dd1f4e00b368f4f1834cabe6
institution Directory Open Access Journal
issn 2055-6640
language English
last_indexed 2024-12-24T04:48:36Z
publishDate 2019-07-01
publisher Elsevier
record_format Article
series Journal of Virus Eradication
spelling doaj.art-45874b23dd1f4e00b368f4f1834cabe62022-12-21T17:14:36ZengElsevierJournal of Virus Eradication2055-66402019-07-0153167173Statistical analysis of single-copy assays when some observations are zeroPeter Bacchetti0Ronald J. Bosch1Eileen P. Scully2Xutao Deng3Michael P. Busch4Steven G. Deeks5Sharon R. Lewin6Department of Epidemiology and Biostatistics, University of California, San Francisco, CA, USA; Corresponding author: Peter Bacchetti, 5984 Stone Bridge Rd, Santa Rosa, CA95409, USACenter for Biostatistics in AIDS Research, Harvard T. H. Chan School of Public Health, Boston, MA, USADivision of Infectious Diseases, Department of Medicine, Johns Hopkins University School of Medicine, Baltimore, MD, USAVitalant Research Institute, San Francisco, CA, USAVitalant Research Institute, San Francisco, CA, USA; Department of Laboratory Medicine, University of California, San Francisco, San Francisco, CA, USAUniversity of California San Francisco, Department of Medicine, San Francisco, CA, USAThe Peter Doherty Institute for Infection and Immunity, The University of Melbourne and Royal Melbourne Hospital, Melbourne, Australia; Department of Infectious Diseases, Monash University and Alfred Hospital, Melbourne, AustraliaObservational and interventional studies for HIV cure research often use single-copy assays to quantify rare entities in blood or tissue samples. Statistical analysis of such measurements presents challenges due to tissue sampling variability and frequent findings of 0 copies in the sample analysed. We examined four approaches to analysing such studies, reflecting different ways of handling observations of 0 copies: (A) replace observations of 0 copies with 1 copy; (B) add 1 to all observed numbers of copies; (C) treat observations of 0 copies as left-censored at 1 copy; and (D) leave the data unaltered and apply a method for count data, negative binomial regression. Because research seeks to estimate general patterns rather than individuals’ values, we argue that unaltered use of 0 copies is suitable for research purposes and that altering those observations can introduce bias. When applied to a simulated study comparing preintervention to postintervention measurements within 12 participants, methods A–C showed more attenuation than method D in the estimated intervention effect, less chance of finding P < 0.05 for the intervention effect and a lower chance of including the true intervention effect within the 95% confidence interval. Application of the methods to actual data from a study comparing multiply-spliced HIV RNA among men and women estimated smaller differences by methods A–C than by method D. We recommend that negative binomial regression, which is readily available in many statistical software packages, be considered for analysis of studies of rare entities that are measured by single-copy assays.http://www.sciencedirect.com/science/article/pii/S2055664020300479HIVlatent reservoirrare entitiesstatistical bias
spellingShingle Peter Bacchetti
Ronald J. Bosch
Eileen P. Scully
Xutao Deng
Michael P. Busch
Steven G. Deeks
Sharon R. Lewin
Statistical analysis of single-copy assays when some observations are zero
Journal of Virus Eradication
HIV
latent reservoir
rare entities
statistical bias
title Statistical analysis of single-copy assays when some observations are zero
title_full Statistical analysis of single-copy assays when some observations are zero
title_fullStr Statistical analysis of single-copy assays when some observations are zero
title_full_unstemmed Statistical analysis of single-copy assays when some observations are zero
title_short Statistical analysis of single-copy assays when some observations are zero
title_sort statistical analysis of single copy assays when some observations are zero
topic HIV
latent reservoir
rare entities
statistical bias
url http://www.sciencedirect.com/science/article/pii/S2055664020300479
work_keys_str_mv AT peterbacchetti statisticalanalysisofsinglecopyassayswhensomeobservationsarezero
AT ronaldjbosch statisticalanalysisofsinglecopyassayswhensomeobservationsarezero
AT eileenpscully statisticalanalysisofsinglecopyassayswhensomeobservationsarezero
AT xutaodeng statisticalanalysisofsinglecopyassayswhensomeobservationsarezero
AT michaelpbusch statisticalanalysisofsinglecopyassayswhensomeobservationsarezero
AT stevengdeeks statisticalanalysisofsinglecopyassayswhensomeobservationsarezero
AT sharonrlewin statisticalanalysisofsinglecopyassayswhensomeobservationsarezero