Bradley Efron’s research while affiliated with Stanford University and other places

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (205)


Preoperative determinants of opioid cessation
Pre-and postoperative determinants of opioid cessation
Pre-and postoperative determinants of pain cessation
Preoperative Versus Perioperative Risk Factors for Delayed Pain and Opioid Cessation After Total Joint Arthroplasty: A Prospective Cohort Study
  • Article
  • Full-text available

August 2023

·

55 Reads

Pain and Therapy

·

·

Bradley Efron

·

[...]

·

Introduction: The evolution of pre- versus postoperative risk factors remains unknown in the development of persistent postoperative pain and opioid use. We identified preoperative versus comprehensive perioperative models of delayed pain and opioid cessation after total joint arthroplasty including time-varying postoperative changes in emotional distress. We hypothesized that time-varying longitudinal measures of postoperative psychological distress, as well as pre- and postoperative use of opioids would be the most significant risk factors for both outcomes. Methods: A prospective cohort of 188 patients undergoing total hip or knee arthroplasty at Stanford Hospital completed baseline pain, opioid use, and emotional distress assessments. After surgery, a modified Brief Pain Inventory was assessed daily for 3 months, weekly thereafter up to 6 months, and monthly thereafter up to 1 year. Emotional distress and pain catastrophizing were assessed weekly to 6 months, then monthly thereafter. Stepwise multivariate time-varying Cox regression modeled preoperative variables alone, followed by all perioperative variables (before and after surgery) with time to postoperative opioid and pain cessation. Results: The median time to opioid and pain cessation was 54 and 152 days, respectively. Preoperative total daily oral morphine equivalent use (hazard ratio-HR 0.97; 95% confidence interval-CI 0.96-0.98) was significantly associated with delayed postoperative opioid cessation in the perioperative model. In contrast, time-varying postoperative factors: elevated PROMIS (Patient-Reported Outcomes Measurement Information System) depression scores (HR 0.92; 95% CI 0.87-0.98), and higher Pain Catastrophizing Scale scores (HR 0.85; 95% CI 0.75-0.97) were independently associated with delayed postoperative pain resolution in the perioperative model. Conclusions: These findings highlight preoperative opioid use as a key determinant of delayed postoperative opioid cessation, while postoperative elevations in depressive symptoms and pain catastrophizing are associated with persistent pain after total joint arthroplasty providing the rationale for continued risk stratification before and after surgery to identify patients at highest risk for these distinct outcomes. Interventions targeting these perioperative risk factors may prevent prolonged postoperative pain and opioid use.

Download

Fig. 1 Prostate data: 6033 x values; mean 0.003, sd = 1.135; curve is proportional to a N (0, 1) density
Fig. 2 Prostate data: Tweedie's estimate of E{μ | x}, 5 degrees of freedom; dashed curve is James-Stein estimate
Fig. 4 Prostate data: left Fdr and right Fdr; dashes show 60 genes with Fdr < 0.1
Machine learning and the James–Stein estimator

June 2023

·

860 Reads

·

3 Citations

Japanese Journal of Statistics and Data Science

It is now 62 years since the publication of James and Stein’s seminal article on the estimation of a multivariate normal mean vector. The paper made a spectacular first impression on the statistical community through its demonstration of inadmissability of the maximum likelihood estimator. It continues to be influential, but not for the initial reasons. Empirical Bayes shrinkage estimation, now a major topic, found its early justification in the James–Stein formula. Less obvious downstream topics include Tweedie’s formula and Benjamini and Hochberg’s false discovery rate algorithm. This is a short and mainly non-technical review of the James–Stein rule and its effects on the machine learning era of statistical innovation.



Discussion of “Confidence Intervals for Nonparametric Empirical Bayes Analysis” by Nikolaos Ignatiadis and Stefan Wager

September 2022

·

8 Reads


The changing impact of cytomegalovirus among hematopoietic cell transplant recipients during the past decade: A single institutional cohort study

March 2022

·

22 Reads

·

2 Citations

Transplant Infectious Disease

Background: With advancements in allogeneic hematopoietic cell transplantation (alloHCT), the need for cytomegalovirus (CMV) surveillance persists. Methods: We present a retrospective analysis on the impact of CMV with preemptive therapy in 1,065 alloHCT patients with donor and/or recipient CMV seropositivity from 2009-2019. Results: 51% developed clinically significant CMV infection (CMV-CSI); 6.5% had CMV disease. In multivariate analysis stratified by serostatus and preparative regimen the use of ATG (HR 2.97, 95% CI 2.00 to 4.42, P < 0.001) was associated with development of CMV-CSI. Median length of stay for index hospitalization was longer in patients with CMV-CSI (27 d vs 25 d, respectively; P = .002), as were rates (32.9% vs 17.7%; P < .001) and duration (9 d vs 6 d; P < .001) of rehospitalization, and median total inpatient days (28 d vs 26 d; P < .001). Patients with CMV-CSI had higher rates of neutropenia (47% vs 20%; P < .001) and transfusion support (PRBC, median 5 vs 3; P < .001; platelets, median 3 vs 3; P < .001). Conclusion: Preemptive therapy does not negate the impact of CMV-CSI on peri-engraftment toxicity and healthcare utilization. This cohort represents a large single center study on the impact of CMV in the pre-letermovir era and serves as a real-world comparator for assessing the impact of future prophylaxis. This article is protected by copyright. All rights reserved.


Resampling Plans and the Estimation of Prediction Error

December 2021

·

151 Reads

·

19 Citations

Stats

This article was prepared for the Special Issue on Resampling methods for statistical inference of the 2020s. Modern algorithms such as random forests and deep learning are automatic machines for producing prediction rules from training data. Resampling plans have been the key technology for evaluating a rule’s prediction accuracy. After a careful description of the measurement of prediction error the article discusses the advantages and disadvantages of the principal methods: cross-validation, the nonparametric bootstrap, covariance penalties (Mallows’ Cp and the Akaike Information Criterion), and conformal inference. The emphasis is on a broad overview of a large subject, featuring examples, simulations, and a minimum of technical detail.



Prediction, Estimation, and Attribution

December 2020

·

76 Reads

·

79 Citations

International Statistical Review

The scientific needs and computational limitations of the twentieth century fashioned classical statistical methodology. Both the needs and limitations have changed in the twenty‐first, and so has the methodology. Large‐scale prediction algorithms—neural nets, deep learning, boosting, support vector machines, random forests—have achieved star status in the popular press. They are recognizable as heirs to the regression tradition, but ones carried out at enormous scale and on titanic datasets. How do these algorithms compare with standard regression techniques such as ordinary least squares or logistic regression? Several key discrepancies will be examined, centering on the differences between prediction and estimation or prediction and attribution (significance testing). Most of the discussion is carried out through small numerical examples.


Figure 4: Predicted ratio of distinct new words found in t newly discovered Shakespeare canons, relative to the observed number N = 30, 688 already seen. Bars indicate ± one standard error, as derived from (28) and (41). Light dashed line shows predictions from Fisher's gamma model (43)-(44).
Figure 8: EstimatesˆgEstimatesˆ Estimatesˆg obtained by varying the degrees of freedom for the natural spline basis and the regularization parameter c 0 . On the left, the degrees of freedom are varied for c 0 = 1 suggesting a value of 6 or 7. On the right the penalization parameter c 0 is varied for 7 degrees of freedom. Larger values of c 0 smooth out the bimodality as do smaller degrees of freedom.
deconvolveR : A G -Modeling Program for Deconvolution and Empirical Bayes Estimation

September 2020

·

125 Reads

·

20 Citations

Journal of Statistical Software

Empirical Bayes inference assumes an unknown prior density g(θ) has yielded (unobservables) Θ1, Θ2, ..., ΘN, and each Θi produces an independent observation Xi from pi (Xi | Θi). The marginal density fi (Xi) is a convolution of the prior g and pi. The Bayes deconvolution problem is one of recovering g from the data. Although estimation of g - so called g-modeling - is difficult, the results are more encouraging if the prior g is restricted to lie within a parametric family of distributions. We present a deconvolution approach where g is restricted to be in a parametric exponential family, along with an R package deconvolveR designed for the purpose.


Letermovir Prophylaxis Decreases Burden of CMV in Patients at High Risk for CMV Disease Following Hematopoietic Cell Transplant

July 2020

·

40 Reads

·

31 Citations

Biology of Blood and Marrow Transplantation

Despite effective therapies, CMV continues to have a significant impact on morbidity and mortality in hematopoietic cell transplant recipients. At particular risk are recipients of alternative grafts such as umbilical cord blood (UCB), haploidentical transplants (haplo), or patients conditioned with T-cell depleting regimens such as anti-thymocyte globulin (ATG). With the approval of letermovir, its impact on high risk patients is of particular interest. To evaluate the impact of letermovir prophylaxis at our center we performed a retrospective analysis of 114 high risk patients who received letermovir as prophylaxis (LET PPX) between January 2018 through December 2019, including 30 UCB and 22 haplo recipients, compared to 637 historical controls with comparable risk between January 2013 and December 2019. By D+100, letermovir prophylaxis significantly decreased the incidence of both CMV DNAemia compared to controls (45.37% vs 74.1%; P <.001) and clinically significant CMV infection (12.04% vs 48.82%; P <.001). The impact of LET PPX was even more profound on the incidence of clinically significant CMV infection (CSI) defined as the administration of antiviral therapy either as preemptive therapy for CMV DNAemia or treatment for CMV disease. CSI was significantly lower in haplo recipients on LET PPX compared to controls (13.64% vs 73.33%; P= .02) and UCB recipients on LET PPX compared to controls (3.45% vs 37.5%; P <.001). No patients on LET primary PPX developed CMV disease in any treatment group by D+100, compared to controls (0% vs 5.34%, respectively; P= .006). Patients on LET PPX had fewer hospitalizations involving initiation of anti-CMV therapy compared to controls (0.93% vs 15.23%, respectively). Our analysis of the largest cohort of patients at high risk for CMV reactivation published to date demonstrates that letermovir prophylaxis significantly reduces the number of patients who receive CMV-active antiviral therapy for either DNAemia or disease due to CMV.


Citations (91)


... By Tweedie's formula (Efron, 2011(Efron, , 2023, the Bayes estimator iŝ ...

Reference:

Minimaxity under the half-Cauchy prior
Machine learning and the James–Stein estimator

Japanese Journal of Statistics and Data Science

... In our practical experience, 65% of our patients with acute GVHD and a low qPCR showed a rapid increase in the viral load, when on steroid therapy. As a consequence, the course of CMV infection can be rapidly progressive and ultimately fatal [22][23][24][25]. However, the exact threshold for treatment is still an area of controversy, different thresholds have been used and vary according to the severity of immunosuppression and different centers [9,[26][27][28]. ...

The changing impact of cytomegalovirus among hematopoietic cell transplant recipients during the past decade: A single institutional cohort study
  • Citing Article
  • March 2022

Transplant Infectious Disease

... where gdf 0 (g λ ) = E µ=0 { y T g λ ( y)}, (2) and E µ=0 indicates the expectation under the assumption of µ = 0. The quantity gdf 0 (g λ ) coincides with the generalized degrees of freedom of g λ defined by cov{ y, g λ ( y)} = E{( y − µ) T g λ ( y)} [23,32] under the null hypothesis µ = α 0 1 n because of µ = Q 1 n µ = 0, where α 0 is an intercept parameter. For least-squares regression with explanatory variables X s , the sub-matrix of X consisting of the column vectors ( X j ) j∈s in a given index set s ⊂ {1, . . . ...

Resampling Plans and the Estimation of Prediction Error

Stats

... We also considered the overall fit based on several indices, such as the comparative fit index (CFI), the Tucker-Lewis index (TLI), the Standardized Root Mean Square Residual (SRMR), the Root Mean Square Error of Approximation (RMSEA) together with the 95% Confidence Interval (CI), and the lower and upper limits. In addition, the Bootstrap method with 1,500 resampling samples was used to calculate the bias-adjusted 95% confidence interval, following the proposal of Efron and Tibshirani [45]. ...

Correction to: The Bootstrap Method for Assessing Statistical Accuracy

Behaviormetrika

... Perhaps confusingly, a suite of ML algorithms categorized as "supervised learning" [7] can express the prediction problem in a way that is strikingly similar to the one described above: y = f (x) + ǫ . In principle, ML algorithms solve a "pure prediction" problem [8] and were not explicitly designed for explanation. The goal in both the ML and statistical approaches is to find a suitable function f (x) . ...

Prediction, Estimation, and Attribution
  • Citing Article
  • December 2020

International Statistical Review

... Moreover, for classic Bayesian data analysis, as noted in [41, p. 19] and [22], a single distribution prior may sometimes be unsuitable and hence the prior choice is dubious. Efron's empirical Bayes deconvolution would be one of the alternatives since the obtained estimator of the distribution of Θ can be used as a prior distribution to produce posterior approximations [38]. The discrete deconvolution problem is common in practice, e.g., the famous missing species problem is an example of the Poisson deconvolution, and many studies in gene expression analysis use the Poisson or negative binomial distribution [40,45]. ...

deconvolveR : A G -Modeling Program for Deconvolution and Empirical Bayes Estimation

Journal of Statistical Software

... Letermovir inhibits CMV DNA terminase, responsible for producing the terminal complex, and thus disrupts viral replication [13]. A large phase III clinical trial [14,15] confirmed that letermovir prophylaxis reduces clinically significant CMV infection (CMV disease or CMV viremia leading to PET) among allo-HSCT recipients, a finding supported by several real-world studies [16][17][18][19][20][21]. Following the phase III trial, letermovir was approved in the USA in 2017 and in Japan and the European Union in 2018 [22,23]. ...

Letermovir Prophylaxis Decreases Burden of CMV in Patients at High Risk for CMV Disease Following Hematopoietic Cell Transplant
  • Citing Article
  • July 2020

Biology of Blood and Marrow Transplantation

... All prognostic prediction models have the same goal: to estimate an individual's unique risk of a specific event occurring in the future using prognostic determinants [20,21,26]. The domain of pure prediction is anti-parsimonious [27]; many possible elements can generate more accurate predictions for specific occurrences when integrated in complicated, nonlinear ways [28]. Specific predictors can be incorporated into prediction models of adverse birth outcomes based on routinely accessible clinical features, to direct screening and/or primary preventive initiatives. ...

Prediction, Estimation, and Attribution
  • Citing Article
  • April 2020

... Consistent with the current study, the survival rate of EPIs is closely related to the demographic characteristics, including GA and BW, with GA being influential. [32][33][34][35] Countries such as the USA, Japan, Sweden and the UK are beginning to look at pushing down the survival threshold to 22 weeks for providing active medical intervention for preterm infants. 36 In developed European countries, a majority (82-96%) of practitioners will actively resuscitate EPIs at 24 weeks, and a higher proportion (85.4-100%) choose to actively treat EPIs at 25 weeks. ...

Derivation and validation of a prognostic score for neonatal mortality in Ethiopia: a case-control study

BMC Pediatrics