William Bekerman

Research

My research focuses on developing novel methods for causal inference, which are often inspired by data applications. Some specifics include:

  • Causal inference: sensitivity analysis, generalizability, design and analysis of observational studies.
  • Selective inference: multiple testing, exploratory data analysis, data-driven adaptivity.
  • Applications: health and policy.

Submitted/Revision

arXiv Preprint

Beyond the ACE score: Replicable combinations of adverse childhood experiences that worsen depression risk

Ruizhe Zhang, Jooyoung Kong, Dylan S. Small, William Bekerman

Abstract

Adverse childhood experiences (ACEs) are categories of childhood abuse, neglect, and household dysfunction. Screening by a single additive ACE score (e.g., a ≥ 4 cutoff) has poor individual-level discrimination. We instead identify replicable combinations of ACEs that elevate adult depression risk. Our data turnover framework enables a single research team to explore, confirm, and replicate within one observational dataset while controlling the family-wise error rate.

We integrate isotonic subgroup selection (ISS) to estimate a higher-risk subgroup under a monotonicity assumption—additional ACE exposure or higher intensity cannot reduce depression risk. We pre-specify a risk threshold τ corresponding to roughly a two-fold increase in the odds of depression relative to the no-ACE baseline. Within data turnover, the prespecified component improves power while maintaining FWER control, as demonstrated in simulations.

Guided by EDA, we adopt frequency coding for ACE items, retaining intensity information that reduces false positives relative to binary or score codings. The result is a replicable, pattern-based higher-risk subgroup.

On held-out BRFSS 2022, we show that, at the same level of specificity (0.95), using our replicable subgroup as the screening rule increases sensitivity by 26% compared with an ACE-score cutoff, yielding concrete triggers that are straightforward to implement and help target scarce clinical screening resources toward truly higher-risk profiles.

Revision at PLOS One

An observational study on effects of contact, collision, and non-contact sports participation on cognitive and emotional health

Hannah A Jin, William Bekerman, Dylan S Small, Amanda Rabinowitz

Abstract

In light of controversy regarding collision sports like football, this study uses the Adolescent Brain Cognitive Development (ABCD) dataset to determine how intensity different types of sports participation during childhood relate to cognitive and emotional outcomes in 9974 young adolescents. We calculated sports volume as the number of hours that the child participated in certain sports in a year during the child’s most active period. Our outcomes are measured when the youths are aged 8.9-11.1 years old: the NIH Toolbox Cognition score and the Parent Child Behavior Checklist (CBCL) emotional problems score. We fit a linear mixed effects model with our outcomes as the dependent variable and with contact sports volume, collision sports volume, non-contact sports volume, and demographic covariates as fixed effects and with random intercepts for family and site ID. Non-contact sports volume was associated with more emotional problems, while contact sports volume was associated with less emotional problems. There was no significant association between collision sports volume and emotional problems. Compared to participants with no history of TBI, participants with possible mild TBI and TBI-LOC had more emotional problems. This study provides insights into how sports participation relate to cognitive and emotional outcomes during a crucial developmental time window.

Revision at Journal of the American Statistical Association

Powerful multivariate sensitivity analysis via sample splitting in an observational study of the effects of poverty on cardiovascular disease risk factors

William Bekerman, Anurag Mehta, Rebecca E Hasson, Leah E Robinson, Dylan S Small, Colin B Fogarty

Abstract

When assessing the causal effect of an exposure on two or more outcomes in an observational study, a linear combination of outcomes may lessen the sensitivity of a test of the global null hypothesis to potential unmeasured biases. While all linear combinations of scored outcomes can be considered using Scheffé projections or constrained variants thereof, finding the combination that minimizes sensitivity to unmeasured biases requires corrections for multiple testing, which can erode power, especially when many outcomes are of interest. To mitigate this issue, we propose splitting the sample into a planning sample to identify an optimal linear combination and an analysis sample to conduct inference. We provide a novel characterization of the set of linear combinations for which this approach is guaranteed to achieve the same asymptotic power as full-sample alternatives and conduct extensive simulation studies that demonstrate enhanced power in finite samples. Finally, we apply our method to investigate the effects of poverty on the emergence of cardiovascular disease risk factors in children and adolescents. We discover adverse consequences on outcomes related to body composition, physical activity, and tobacco exposure. Although the impact of poverty on elevated tobacco exposure shows some robustness to unmeasured confounding, the other findings remain sensitive to potential biases.

2026

Biometrika

Planning for gold: Hypothesis screening with split samples for valid powerful testing in matched observational studies

William Bekerman, Abhinandan Dalal, Carlo del Ninno, Dylan S Small

Abstract

Observational studies are valuable tools for inferring causal effects in the absence of controlled experiments. However, these studies may be biased due to the presence of some relevant, unmeasured set of covariates. One approach to mitigate this concern is to identify hypotheses likely to be more resilient to hidden biases by splitting the data into a planning sample for designing the study and an analysis sample for making inferences. We devise a powerful and flexible method for selecting hypotheses in the planning sample when an unknown number of outcomes are affected by the treatment. We investigate the theoretical properties of our method and conduct extensive simulations that demonstrate pronounced benefits, especially at higher levels of allowance for unmeasured confounding. Finally, we demonstrate our method in an observational study of the multi-dimensional impacts of a devastating flood in Bangladesh.

2024

Annals of Applied Statistics

RZiMM-scRNA: A regularized zero-inflated mixture model framework for single-cell RNA-seq data

Xinlei Mi, William Bekerman, Anil K Rustgi, Peter A Sims, Peter D Canoll, Jianhua Hu

Abstract

Applications of single-cell RNA sequencing in various biomedical research areas have been blooming. This new technology provides unprecedented opportunities to study disease heterogeneity at the cellular level. However, unique characteristics of scRNA-seq data, including large dimensionality, high dropout rates, and possibly batch effects, bring great difficulty into the analysis of such data. Not appropriately addressing these issues obstructs true scientific discovery. Herein we propose a unified Regularized Zero-inflated Mixture Model framework, designed for scRNA-seq data (RZiMM-scRNA), to simultaneously detect cell subgroups and identify gene differential expression based on a developed importance score, accounting for both dropouts and batch effects. We conduct extensive simulation studies in which we evaluate the performance of RZiMM-scRNA and compare it with several popular methods, including Seurat, SC3, K-means, and hierarchical clustering. Simulation results show that RZiMM-scRNA demonstrates superior clustering performance and enhanced biomarker detection accuracy, compared to alternative methods, especially when cell subgroups are less distinct, verifying the robustness of our method.

Our empirical investigations focus on two brain tumor studies dealing with astrocytoma of various grades, including the most malignant of all brain tumors, glioblastoma multiforme (GBM). Our goal is to delineate cell heterogeneity and identify driving biomarkers associated with these tumors. Notably, RZiMM-scNRA successfully identifies a small group of oligodendrocyte cells, which has drawn much attention in biomedical literature on brain cancers. In addition, our method discovers several new biomarkers which are not discussed in the original studies, including PLP1, BCAN, and PTPRZ1—all associated with the development and malignant growth of glioma—as well as CAMK2B, which is downregulated in glioma and GBM and implicated in neurodevelopment, brain function, learning and memory processes.

2023

Data Science in Science

Comparison of CYGNSS and Jason-3 wind speed measurements via Gaussian processes

William Bekerman, Joseph Guinness

Abstract

Wind is a critical component of the Earth system and has unmistakable impacts on everyday life. The CYGNSS satellite mission improves observational coverage of ocean winds via a fleet of eight micro-satellites that use reflected GNSS signals to infer surface wind speed. We present analyses characterizing variability in wind speed measurements among the eight CYGNSS satellites and between antennas, using a Gaussian process model that leverages comparisons between CYGNSS and Jason-3 during a one-year period from September 2019 to September 2020. The CYGNSS sensors exhibit a range of biases, mostly between −1.0 m/s and +0.2 m/s with respect to Jason-3, indicating that some CYGNSS sensors are biased with respect to one another and with respect to Jason-3. The biases between the starboard and port antennas within a CYGNSS satellite are smaller. Our results are consistent with, yet sharper than, a more traditional paired comparison analysis. We also explore the possibility that the bias depends on wind speed, finding some evidence that CYGNSS satellites have positive biases with respect to Jason-3 at low wind speeds. However, we argue that there are subtle issues associated with estimating wind speed-dependent biases, so additional careful statistical modeling and analysis is warranted.

2021

IEEE Access

Determining decomposition levels for wavelet denoising using sparsity plot

William Bekerman, Madhur Srivastava

Abstract

We present a method to select decomposition levels for noise thresholding in wavelet denoising. It is essential to determine the accurate decomposition levels to avoid inadequate noise reduction and/or signal distortion by noise thresholding. We introduce the concept of sparsity plot that captures the abrupt transition from noisy to noise-free Detail component, readily revealing the cut-off for the maximum decomposition levels. The method uses the sparsity parameter to determine the noise presence in each detail component and measures the magnitude change in the sparsity values to distinguish between noisy and noise-free Detail components. The method is tested on both model and experimental signals, and proves effective for various signal lengths and types, as well as different Signal-to-Noise Ratios (SNRs). The method can be embedded with any wavelet denoising method to improve its performance. The code is available via GitHub and denoising.cornell.edu, as well as the corresponding author's group website.