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Parast L. Surrogate Marker Evaluation: A Tutorial Using R. Stat Med 2025; 44:e70048. [PMID: 40387639 DOI: 10.1002/sim.70048] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/22/2024] [Revised: 02/11/2025] [Accepted: 02/23/2025] [Indexed: 05/20/2025]
Abstract
The practice of using a surrogate marker to replace a primary outcome in clinical studies has become widespread. Typically, the primary outcome requires long-term patient follow-up, is expensive, or is invasive or burdensome for patients to measure, while the surrogate marker is not (or less so). Of course, a surrogate marker must be validated before it should be used to make a decision about the effectiveness of a treatment. There has been a tremendous amount of statistical and clinical research focused on evaluating and validating surrogate markers over the past 35 years. Although there is ongoing debate over the optimal evaluation method, the development of new approaches and insights has greatly enriched the field. In this tutorial, we describe available statistical frameworks for evaluating a surrogate marker and specifically focus on the practical implementation of the proportion of treatment effect explained framework. We consider both uncensored and censored outcomes, parametric and non-parametric estimation, evaluating multiple surrogates, heterogeneity in the utility of the surrogate marker, surrogate evaluation from a prediction perspective, and the surrogate paradox. We include R code to implement these procedures with a follow-along R markdown. We close with a discussion on open problems in this research area, particularly in terms of using the surrogate marker to test for treatment in a future study, which is the ultimate goal of surrogate marker evaluation.
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Affiliation(s)
- Layla Parast
- Department of Statistics and Data Sciences, The University of Texas at Austin, Austin, Texas, USA
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Liu X, Ao Y, Li Y, Liu H, Ye H, Song X, Lin X, Zheng Y, Wan X, Zhuang P, Zhang Y, Jiao J. Circulating fatty acid profiles impact total, cardiovascular disease, and cancer mortality in a population-based prospective cohort study. Clin Nutr 2025; 46:191-203. [PMID: 39965263 DOI: 10.1016/j.clnu.2025.01.034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2024] [Revised: 01/29/2025] [Accepted: 01/31/2025] [Indexed: 02/20/2025]
Abstract
BACKGROUND Evidence linking circulating fatty acids (FAs) to mortality from age-related chronic diseases was limited and inconsistent. We aimed to investigate the associations of plasma FAs with total, cardiovascular disease (CVD), and cancer mortality and explore the potential mechanism. METHODS 117,871 individuals were prospectively followed in the UK Biobank. Circulating FAs were measured by a high-throughput NMR-based metabolic platform. Causes and dates of death were collected from death certificates according to the code of International Statistical Classification of Diseases (ICD-10). RESULTS Over a median follow-up of 11.9 years, 7805 (6.6 %) deaths occurred. Plasma saturated FAs (SFAs) were positively associated with total mortality risk while plasma polyunsaturated FAs (PUFAs) exhibited an inverse association. For cause-specific mortality, circulating PUFAs, linoleic acid (LA), and n-3 PUFAs were associated with 34 %, 30 %, and 37 % lower risk of CVD mortality, respectively. Moreover, plasma n-3 PUFAs were related to a 24 % lower risk of cancer mortality. However, circulating non-LA n-6 PUFAs were associated with 11 % and 22 % higher risk of total and cancer mortality, respectively. Serum levels of C-reactive protein (CRP) and apolipoprotein A (ApoA) had significant mediation effects on these associations. Additionally, the inverse association of plasma n-6 PUFAs with total mortality only existed among carriers of the GG genotype at rs16966952 and the inverse association of plasma PUFAs with CVD mortality was only observed among TT genotype carriers at rs174547. CONCLUSIONS Circulating PUFAs, particularly n-3 PUFAs and LA, were inversely related to premature death from chronic diseases and longevity. Inflammatory and lipid metabolism partially explained these associations. Genetic interactions with rs16966952 and rs174547 further modified these associations.
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Affiliation(s)
- Xiaohui Liu
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Yang Ao
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Yin Li
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Haoyin Liu
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Hao Ye
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Xiaoran Song
- Department of Gastroenterology, The First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Xunan Lin
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Youyou Zheng
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Xuzhi Wan
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Pan Zhuang
- Department of Gastroenterology, The First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China
| | - Yu Zhang
- Department of Gastroenterology, The First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China; Department of Food Science and Nutrition, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, Zhejiang, China
| | - Jingjing Jiao
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, Zhejiang, China.
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Zhuang P, Ao Y, Liu X, Ye H, Li H, Wan X, Zhang Y, Jiao J. Circulating fatty acids and risk of severe non-alcoholic fatty liver disease in the UK biobank: a prospective cohort of 116 223 individuals. Food Funct 2024; 15:10527-10538. [PMID: 39370886 DOI: 10.1039/d4fo01182a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/08/2024]
Abstract
Fatty acid (FA) metabolism plays an important role in the development of nonalcoholic fatty liver disease (NAFLD). However, data on the relationship between circulating FAs and NAFLD risk are limited. This study aims to assess the associations between specific circulating FAs and severe NAFLD risk among the general population. Overall 116 223 participants without NAFLD and other liver diseases from the UK Biobank were enrolled between 2006 and 2010 and were followed up until the end of 2021. Plasma concentrations of saturated fatty acids (SFAs), monounsaturated fatty acids (MUFAs), and polyunsaturated fatty acids (PUFAs) were analyzed using an NMR-based biomarker profiling platform. Hazard ratios (HRs) and 95% confidence intervals (CIs) of NAFLD risk were estimated using Cox proportional-hazard models adjusted for other potential confounders. During a mean follow-up of 12.3 years, we documented 1394 cases of severe NAFLD. After multivariate adjustment, plasma SFAs and MUFAs were associated with a higher risk of severe NAFLD, whereas plasma n-3 PUFAs, n-6 PUFAs, and linoleic acid (LA) were associated with a lower risk. As compared with the lowest quartile, HRs (95% CIs) of severe NAFLD risk in the highest quartiles were 1.85 (1.45-2.36) for SFAs, 1.74 (1.23-2.44) for MUFAs, 0.79 (0.65-0.97) for n-3 PUFAs, 0.68 (0.48-0.96) for n-6 PUFAs, and 0.73 (0.54-0.99) for LA. The significant relationships were mainly mediated by serum TG for SFAs, HDL-C for MUFAs and n-6 PUFAs, and C-reactive protein for n-3 PUFAs. Plasma SFAs were associated with a more pronounced increase in the risk of severe NAFLD among participants with fewer SFA-associated alleles (P interaction = 0.032). Dietary recommendations for reducing plasma SFAs and MUFAs while increasing n-3 and n-6 PUFAs may be protective for severe NAFLD, which could be mediated by lipid metabolism and inflammation.
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Affiliation(s)
- Pan Zhuang
- Department of Gastroenterology, The First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310003, Zhejiang, China
| | - Yang Ao
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, 866 Yuhangtang Road, Hangzhou 310058, Zhejiang, China.
| | - Xiaohui Liu
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, 866 Yuhangtang Road, Hangzhou 310058, Zhejiang, China.
| | - Hao Ye
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, 866 Yuhangtang Road, Hangzhou 310058, Zhejiang, China.
| | - Haoyu Li
- Department of Food Science and Nutrition, Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, Zhejiang, China
| | - Xuzhi Wan
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, 866 Yuhangtang Road, Hangzhou 310058, Zhejiang, China.
| | - Yu Zhang
- Department of Gastroenterology, The First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310003, Zhejiang, China
- Department of Food Science and Nutrition, Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, Zhejiang, China
| | - Jingjing Jiao
- Department of Endocrinology, The Second Affiliated Hospital, Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, 866 Yuhangtang Road, Hangzhou 310058, Zhejiang, China.
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Agniel D, Hejblum BP, Thiébaut R, Parast L. Doubly robust evaluation of high-dimensional surrogate markers. Biostatistics 2023; 24:985-999. [PMID: 35791753 PMCID: PMC10801117 DOI: 10.1093/biostatistics/kxac020] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2021] [Revised: 05/16/2022] [Accepted: 06/03/2022] [Indexed: 10/19/2023] Open
Abstract
When evaluating the effectiveness of a treatment, policy, or intervention, the desired measure of efficacy may be expensive to collect, not routinely available, or may take a long time to occur. In these cases, it is sometimes possible to identify a surrogate outcome that can more easily, quickly, or cheaply capture the effect of interest. Theory and methods for evaluating the strength of surrogate markers have been well studied in the context of a single surrogate marker measured in the course of a randomized clinical study. However, methods are lacking for quantifying the utility of surrogate markers when the dimension of the surrogate grows. We propose a robust and efficient method for evaluating a set of surrogate markers that may be high-dimensional. Our method does not require treatment to be randomized and may be used in observational studies. Our approach draws on a connection between quantifying the utility of a surrogate marker and the most fundamental tools of causal inference-namely, methods for robust estimation of the average treatment effect. This connection facilitates the use of modern methods for estimating treatment effects, using machine learning to estimate nuisance functions and relaxing the dependence on model specification. We demonstrate that our proposed approach performs well, demonstrate connections between our approach and certain mediation effects, and illustrate it by evaluating whether gene expression can be used as a surrogate for immune activation in an Ebola study.
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Affiliation(s)
- Denis Agniel
- RAND Corporation, 1776 Main St. Santa Monica, CA, 90401, USA
| | - Boris P Hejblum
- Univ. Bordeaux, INSERM, INRIA, BPH, U1219, SISTM, F-33000 Bordeaux, France and Vaccine Research Institute, F-94000 Créteil, France
| | - Rodolphe Thiébaut
- Univ. Bordeaux, INSERM, INRIA, BPH, U1219, SISTM, F-33000 Bordeaux, France, CHU de Bordeaux, Service d’Information médicale, F-33000 Bordeaux, France and Vaccine Research Institute, F-94000 Créteil, France
| | - Layla Parast
- University of Texas at Austin, Department of Statistics and Data Sciences, 3925 West Braker Lane, Austin, TX 78759, USA
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Liu X, Li Y, Wan X, Zhuang P, Wu Y, Zhang L, Ao Y, Yao J, Zhang Y, Jiao J. Association of Fish Oil Supplementation with Risk of Coronary Heart Disease in Individuals with Diabetes and Prediabetes: A Prospective Study in the UK Biobank. Nutrients 2023; 15:3176. [PMID: 37513593 PMCID: PMC10386642 DOI: 10.3390/nu15143176] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2023] [Revised: 07/08/2023] [Accepted: 07/09/2023] [Indexed: 07/30/2023] Open
Abstract
This study aimed to explore the association between habitual intake of fish oil supplementation and the risk of developing CHD in patients with prediabetes and diabetes. Habitual use of fish oil was assessed by repeated questionnaires. Cox proportional hazard models were applied to calculate hazard ratios (HRs) and 95% confidence intervals (CIs). Over a median follow-up of 11.6 years, 4304 and 3294 CHD cases were documented among 47,663 individuals with prediabetes and 22,146 patients with diabetes in the UK Biobank, respectively. After multivariable adjustment, the HRs (95% CI) of CHD were 0.91 (0.85-0.98) and 0.87 (0.80-0.95) for individuals utilizing fish oil supplementation compared with non-users among the participants with prediabetes and diabetes, respectively. Furthermore, we identified an inverse relationship between fish oil use and CHD incidence, which was significantly mediated by serum C-reactive protein (CRP) levels in individuals with prediabetes and by very-low-density lipoprotein cholesterol (VLDL-C) in patients with diabetes at baseline. The inverse associations were consistent in the analyses stratified by potential confounders. In conclusion, the consumption of fish oil supplements was linked to decreased serum CRP and VLDL-C levels and subsequent CHD risk among adults with prediabetes and diabetes. Our findings highlight the important role of the habitual intake of fish oil supplements in preventing CHD in individuals with impaired glucose metabolism.
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Affiliation(s)
- Xiaohui Liu
- Department of Endocrinology, The Second Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310009, China
- Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, China
| | - Yin Li
- Department of Endocrinology, The Second Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310009, China
- Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, China
| | - Xuzhi Wan
- Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, China
| | - Pan Zhuang
- Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, China
| | - Yuqi Wu
- Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, China
| | - Lange Zhang
- Department of Endocrinology, The Second Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310009, China
- Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, China
| | - Yang Ao
- Department of Endocrinology, The Second Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310009, China
- Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, China
| | - Jianxin Yao
- Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, China
| | - Yu Zhang
- Zhejiang Key Laboratory for Agro-Food Processing, College of Biosystems Engineering and Food Science, Zhejiang University, Hangzhou 310058, China
| | - Jingjing Jiao
- Department of Endocrinology, The Second Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310009, China
- Department of Nutrition, School of Public Health, Zhejiang University School of Medicine, Hangzhou 310058, China
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