Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions

Objective: The purpose of this study was to present the design, model, and data analysis of an interrupted time series (ITS) model applied to evaluate the impact of health policy, systems, or environmental interventions using count outcomes. Simulation methods were used to conduct power and sample s...

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Main Authors: Wei Liu, Shangyuan Ye, Bruce A. Barton, Melissa A. Fischer, Colleen Lawrence, Elizabeth J. Rahn, Maria I. Danila, Kenneth G. Saag, Paul A. Harris, Stephenie C. Lemon, Jeroan J. Allison, Bo Zhang
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Contemporary Clinical Trials Communications
Online Access:http://www.sciencedirect.com/science/article/pii/S2451865419302364
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spelling doaj-d63de003e238460c8347bc0f3664739e2020-11-25T03:08:09ZengElsevierContemporary Clinical Trials Communications2451-86542020-03-0117Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventionsWei Liu0Shangyuan Ye1Bruce A. Barton2Melissa A. Fischer3Colleen Lawrence4Elizabeth J. Rahn5Maria I. Danila6Kenneth G. Saag7Paul A. Harris8Stephenie C. Lemon9Jeroan J. Allison10Bo Zhang11School of Management, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Population Medicine, Harvard Pilgrim Health Care Institute and Harvard Medical School, Boston, MA, 02115, USASchool of Management, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Internal Medicine, University of Massachusetts Medical School, Worcester, MA, 01605, USA; Meyers Primary Care Institute, University of Massachusetts Medical School, Fallon Foundation, and Fallon Community Health Plan, Worcester, MA, 01605, USAVanderbilt Institute for Clinical and Translational Research, Vanderbilt University Medical Center, Nashville, TN, 37232, USADivision of Clinical Immunology and Rheumatology, University of Alabama at Birmingham, Birmingham, AL, 35294, USADivision of Clinical Immunology and Rheumatology, University of Alabama at Birmingham, Birmingham, AL, 35294, USADivision of Clinical Immunology and Rheumatology, University of Alabama at Birmingham, Birmingham, AL, 35294, USADepartment of Biomedical Informatics and Department of Biomedical Engineering, Vanderbilt University, Nashville, TN, 37203, USASchool of Management, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaSchool of Management, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Neurology and ICCTR Biostatistics and Research Design Center, Boston Children’s Hospital and Harvard Medical School, Boston, MA, 02215, USA; Corresponding author.Objective: The purpose of this study was to present the design, model, and data analysis of an interrupted time series (ITS) model applied to evaluate the impact of health policy, systems, or environmental interventions using count outcomes. Simulation methods were used to conduct power and sample size calculations for these studies. Methods: We proposed the models and analyses of ITS designs for count outcomes using the Strengthening Translational Research in Diverse Enrollment (STRIDE) study as an example. The models we used were observation-driven models, which bundle a lagged term on the conditional mean of the outcome for a time series of count outcomes. Results: A simulation-based approach with ready-to-use computer programs was developed to calculate the sample size and power of two types of ITS models, Poisson and negative binomial, for count outcomes. Simulations were conducted to estimate the power of segmented autoregressive (AR) error models when autocorrelation ranged from −0.9 to 0.9, with various effect sizes. The power to detect the same magnitude of parameters varied largely, depending on the testing level change, the trend change, or both. The relationships between power and sample size and the values of the parameters were different between the two models. Conclusion: This article provides a convenient tool to allow investigators to generate sample sizes that will ensure sufficient statistical power when the ITS study design of count outcomes is implemented. Keywords: Policy evaluation, Interrupted time series, Count outcomes, Segmented regression, Quasi-experimental design, Power, Sample size calculationhttp://www.sciencedirect.com/science/article/pii/S2451865419302364
collection DOAJ
language English
format Article
sources DOAJ
author Wei Liu
Shangyuan Ye
Bruce A. Barton
Melissa A. Fischer
Colleen Lawrence
Elizabeth J. Rahn
Maria I. Danila
Kenneth G. Saag
Paul A. Harris
Stephenie C. Lemon
Jeroan J. Allison
Bo Zhang
spellingShingle Wei Liu
Shangyuan Ye
Bruce A. Barton
Melissa A. Fischer
Colleen Lawrence
Elizabeth J. Rahn
Maria I. Danila
Kenneth G. Saag
Paul A. Harris
Stephenie C. Lemon
Jeroan J. Allison
Bo Zhang
Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
Contemporary Clinical Trials Communications
author_facet Wei Liu
Shangyuan Ye
Bruce A. Barton
Melissa A. Fischer
Colleen Lawrence
Elizabeth J. Rahn
Maria I. Danila
Kenneth G. Saag
Paul A. Harris
Stephenie C. Lemon
Jeroan J. Allison
Bo Zhang
author_sort Wei Liu
title Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
title_short Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
title_full Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
title_fullStr Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
title_full_unstemmed Simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
title_sort simulation-based power and sample size calculation for designing interrupted time series analyses of count outcomes in evaluation of health policy interventions
publisher Elsevier
series Contemporary Clinical Trials Communications
issn 2451-8654
publishDate 2020-03-01
description Objective: The purpose of this study was to present the design, model, and data analysis of an interrupted time series (ITS) model applied to evaluate the impact of health policy, systems, or environmental interventions using count outcomes. Simulation methods were used to conduct power and sample size calculations for these studies. Methods: We proposed the models and analyses of ITS designs for count outcomes using the Strengthening Translational Research in Diverse Enrollment (STRIDE) study as an example. The models we used were observation-driven models, which bundle a lagged term on the conditional mean of the outcome for a time series of count outcomes. Results: A simulation-based approach with ready-to-use computer programs was developed to calculate the sample size and power of two types of ITS models, Poisson and negative binomial, for count outcomes. Simulations were conducted to estimate the power of segmented autoregressive (AR) error models when autocorrelation ranged from −0.9 to 0.9, with various effect sizes. The power to detect the same magnitude of parameters varied largely, depending on the testing level change, the trend change, or both. The relationships between power and sample size and the values of the parameters were different between the two models. Conclusion: This article provides a convenient tool to allow investigators to generate sample sizes that will ensure sufficient statistical power when the ITS study design of count outcomes is implemented. Keywords: Policy evaluation, Interrupted time series, Count outcomes, Segmented regression, Quasi-experimental design, Power, Sample size calculation
url http://www.sciencedirect.com/science/article/pii/S2451865419302364
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