Semiparametric Trend Analysis for Stratified Recurrent Gap Times Under Weak Comparability Constraint

Statistics in Biosciences - Tập 15 Số 2 - Trang 455-474 - 2023
Peng Liu1, Yijian Huang2, Kwun Chuen Gary Chan3, Ying Qing Chen4
1School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, UK
2Department of Biostatistics, Rollins School of Public Health, Emory University, Atlanta, USA
3Department of Biostatistics, University of Washington, Seattle, USA
4Stanford Prevention Research Center, Stanford University, Palo Alto, USA

Tóm tắt

AbstractRecurrent event data are frequently encountered in many longitudinal studies where each individual may experience more than one event. Wang and Chen (Biometrics 56(3):789–794, 2000) proposed a comparability constraint to estimate the time trend for the gap times, where the gap time pairs that satisfy the constraint have the same conditional distribution. However, the comparable paired gap times are also independent. Therefore, the comparable gap time pairs will be subject to a stronger constraint than needed for the estimation. Thus their procedure is subject to information loss. Under the accelerated failure time model, we propose a new comparability constraint that can overcome the drawback mentioned above. The gap time pairs being selected by the proposed comparability constraint will still have the same distribution, but they do not need to be independent of each other. We showed that the proposed comparability constraint will utilize more gap time data pairs than the strong comparability. And we showed via various simulation studies that the variance will be smaller than Wang and Chen’s (2000) estimator. We apply the proposed method to the HIV Prevention Trial Network 052 study.

Từ khóa


Tài liệu tham khảo

Wang M-C, Chen Y (2000) Nonparametric and semiparametric trend analysis for stratified recurrence times. Biometrics 56(3):789–794

Ascher H, Feingold H (1984) Repairable systems reliability: modeling. Inference, misconceptions and their causes

Lawless JF, Çiğşar C, Cook RJ (2012) Testing for monotone trend in recurrent event processes. Technometrics 54(2):147–158

Kvaløy JT, Lindqvist BH (2020) A class of tests for trend in time censored recurrent event data. Technometrics 62(1):101–115

Gaynes B, Brown C, Lux L, Ashok M, Coker-Schwimmer E, Hoffman V, Sheitman B, Viswanathan M (2015) Management strategies to reduce psychiatric readmissions. Technical Brief No. 21. (Prepared by the RTI-UNC Evidence-based Practice Center under Contract No. 290-2012-00008-I.)

Wang M-C, Chang S-H (1999) Nonparametric estimation of a recurrent survival function. J Am Stat Assoc 94(445):146–153

Bhattacharya P, Chernoff H, Yang S (1983) Nonparametric estimation of the slope of a truncated regression. Ann Stat 11(2):505–514

Lai T, Ying Z (1992) Asymptotically efficient estimation in censored and truncated regression models. Stat Sin 2(1):17–46

Efron B, Petrosian V (1999) Nonparametric methods for doubly truncated data. J Am Stat Assoc 94(447):824–834

Abelson R, Tukey J (1963) Efficient utilization of non-numerical information in quantitative analysis general theory and the case of simple order. Ann Math Stat 34(4):1347–1369

Huang Y, Chen YQ (2003) Marginal regression of gaps between recurrent events. Lifetime Data Anal 9(3):293–303

Chang S-H (2004) Estimating marginal effects in accelerated failure time models for serial sojourn times among repeated events. Lifetime Data Anal 10(2):175–190

Jin Z, Lin D, Ying Z (2006) Rank regression analysis of multivariate failure time data based on marginal linear models. Scand J Stat 33(1):1–23

Cohen M, Chen Y, McCauley M, Gamble T, Hosseinipour M, Kumarasamy N, Hakim J, Kumwenda J, Grinsztejn B, Pilotto J, Godbole S, Mehendale S (2011) Prevention of HIV-1 infection with early antiretroviral therapy. N Engl J Med 365(6):493–505

Chen Y, Masse B, Wang L, Ou S-S, Li X, Donnell D, McCauley M, Gamble T, Ribauldo H, Cohen M, Thomas R (2012) Statistical considerations for the HPTN 052 study to evaluate the effectiveness of early versus delayed antiretroviral strategies to prevent the sexual transmission of hiv-1 in serodiscordant couples. Contemp Clin Trials 33(6):1280–1286

Paterson D, Swindells S, Mohr J, Brester M, Vergis E, Squier C, Wagener M, Singh N (2000) Adherence to protease inhibitor therapy and outcomes in patients with HIV infection. Ann Intern Med 133(1):21–30

Iacob S, Iacob D, Jugulete G (2017) Improving the adherence to antiretroviral therapy, a difficult but essential task for a successful HIV treatment-clinical points of view and practical considerations. Front Pharmacol 8:831

Thông tin
Thông tin xuất bản

Statistics in Biosciences

Tập 15 Số 2

455-474

Thông tin tác giả