Paper 14: Marriage and physical capability at mid to later life in England and the USA

Author

Lee Jones - Senior Biostatistician - Statistical Review

Published

March 14, 2026

Reference

Wood N, McMunn A, Webb E, Stafford M (2019) Marriage and physical capability at mid to later life in England and the USA. PLoS ONE 14(1): e0209388. https://doi.org/10.1371/journal.pone.0209388

Disclosure

This reproducibility project was conducted to the best of our ability, with careful attention to statistical methods and assumptions. The research team comprises four senior biostatisticians (three of whom are accredited), with 20 to 30 years of experience in statistical modelling and analysis of healthcare data. While statistical assumptions play a crucial role in analysis, their evaluation is inherently subjective, and contextual knowledge can influence judgements about the importance of assumption violations. Differences in interpretation may arise among statisticians and researchers, leading to reasonable disagreements about methodological choices.

Our approach aimed to reproduce published analyses as faithfully as possible, using the details provided in the original papers. We acknowledge that other statisticians may have differing success in reproducing results due to variations in data handling and implicit methodological choices not fully described in publications. However, we maintain that research articles should contain sufficient detail for any qualified statistician to reproduce the analyses independently.

Methods used in our reproducibility analyses

There were two parts to our study. First, 100 articles published in PLOS ONE were randomly selected from the health domain and sent for post-publication peer review by statisticians. Of these, 95 included linear regression analyses and were therefore assessed for reporting quality. The statisticians evaluated what was reported, including regression coefficients, 95% confidence intervals, and p-values, as well as whether model assumptions were described and how those assumptions were evaluated. This report provides a brief summary of the initial statistical review.

The second part of the study involved reproducing linear regression analyses for papers with available data to assess both computational and inferential reproducibility. All papers were initially assessed for data availability and the statistical software used. From those with accessible data, the first 20 papers (from the original random sample) were evaluated for computational reproducibility. Within each paper, individual linear regression models were identified and assigned a unique number. A maximum of three models per paper were selected for assessment. When more than three models were reported, priority was given to the final model or the primary models of interest as identified by the authors; any remaining models were selected at random.

To assess computational reproducibility, differences between the original and reproduced results were evaluated using absolute discrepancies and rounding error thresholds, tailored to the number of decimal places reported in each paper. Results for each reported statistic, e.g., regression coefficient, were categorised as Reproduced, Incorrect Rounding, or Not Reproduced, depending on how closely they matched the original values. Each paper was then classified as Reproduced, Mostly Reproduced, Partially Reproduced, or Not Reproduced. The mostly reproduced category included cases with minor rounding or typographical errors, whereas partially reproduced indicated substantial errors were observed, but some results were reproduced.

For models deemed at least partially computationally reproducible, inferential reproducibility was further assessed by examining whether statistical assumptions were met and by conducting sensitivity analyses, including bootstrapping where appropriate. We examined changes in standardized regression coefficients, which reflect the change in the outcome (in standard deviation units) for a one standard deviation increase in the predictor. Meaningful differences were defined as a relative change of 10% or more, or absolute differences of 0.1 (moderate) and 0.2 (substantial). When non-linear relationships were identified, inferential reproducibility was assessed by comparing model fit measures, including R², Akaike Information Criterion (AIC), and Bayesian Information Criterion (BIC). When the Gaussian distribution was not appropriate for the dependent variable, alternative distributions were considered, and model fit was evaluated using AIC and BIC.

Summary from statistical review

This study examined the association between marriage and physical capability in England and the USA in mid to later life. Linear regression models examined the relationship between walking speed, grip strength, and marital status, adjusting for demographics and health behaviours. The paper does not describe how variables were selected for inclusion in the models or whether collinearity was assessed. A strength of the article is its detailed and transparent methods, with all statistical tests described in the supporting information. However, reporting of model assumptions is limited; although linearity and normality are mentioned, these are not assessed using model residuals.

Data availability and software used

The authors report that the ELSA data are available from the UK Data Archive, but user login requires permission and an institutional email address, as further permissions were required. Therefore, the authors provided a correct data statement, but because the data were not immediately downloadable, they were not assessed for computational reproducibility. The statistical package used in this paper was not reported.

Regression sample

The data to reproduce the linear regression models were not available.

Computational reproducibility results

The data to reproduce the linear regression models were not available.

Inferential reproducibility results

The data to reproduce the linear regression models were not available.