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https://joss.theoj.org + + + + + 11 + 2024 + + + 9 + + 103 + + + + jointVIP: Prioritizing variables in observational study +design with joint variable importance plot in R + + + + Lauren D. + Liao + + Division of Biostatistics, University of California, Berkeley, USA + + https://orcid.org/0000-0003-4697-6909 + + + Samuel D. + Pimentel + + Department of Statistics, University of California, Berkeley, USA + + https://orcid.org/0000-0002-0409-6586 + + + + 11 + 12 + 2024 + + + 6093 + + + 10.21105/joss.06093 + + + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + + + + Software archive + 10.5281/zenodo.14020544 + + + GitHub review issue + https://github.com/openjournals/joss-reviews/issues/6093 + + + + 10.21105/joss.06093 + https://joss.theoj.org/papers/10.21105/joss.06093 + + + https://joss.theoj.org/papers/10.21105/joss.06093.pdf + + + + + + Heart failure, chronic diuretic use, and +increase in mortality and hospitalization: An observational study using +propensity score methods + Ahmed + European heart journal + 12 + 27 + 10.1093/eurheartj/ehi890 + 2006 + Ahmed, A., Husain, A., Love, T. 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Choosing the estimand when matching or weighting in +observational studies. arXiv Preprint +arXiv:2106.10577. + + + Covariate balance in simple, stratified and +clustered comparative studies + Hansen + Statistical Science + 10.1214/08-sts254 + 2008 + Hansen, B. B., & Bowers, J. +(2008). Covariate balance in simple, stratified and clustered +comparative studies. Statistical Science, 219–236. +https://doi.org/10.1214/08-sts254 + + + Constructing a control group using +multivariate matched sampling methods that incorporate the propensity +score + Rosenbaum + The American Statistician + 1 + 39 + 10.1017/cbo9780511810725.019 + 1985 + Rosenbaum, P. R., & Rubin, D. B. +(1985). Constructing a control group using multivariate matched sampling +methods that incorporate the propensity score. 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(1986). Evaluating the +econometric evaluations of training programs with experimental data. The +American Economic Review, 604–620. + + + R: A language and environment for statistical +computing + R Core Team + 2020 + R Core Team. (2020). R: A language +and environment for statistical computing. R Foundation for Statistical +Computing. https://www.R-project.org/ + + + Prioritizing variables for observational +study design using the joint variable importance plot + Liao + The American Statistician + 10.1080/00031305.2024.2303419 + 2024 + Liao, L. D., Zhu, Y., Ngo, A. L., +Chehab, R. F., & Pimentel, S. D. (2024). Prioritizing variables for +observational study design using the joint variable importance plot. The +American Statistician, 1–9. +https://doi.org/10.1080/00031305.2024.2303419 + + + Optimal full matching and related designs via +network flows + Hansen + Journal of Computational and Graphical +Statistics + 3 + 15 + 10.1198/106186006x137047 + 2006 + Hansen, B. B., & Klopfer, S. O. +(2006). 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+ + + + +Journal of Open Source Software +JOSS + +2475-9066 + +Open Journals + + + +6093 +10.21105/joss.06093 + +jointVIP: Prioritizing variables in observational study +design with joint variable importance plot in R + + + +https://orcid.org/0000-0003-4697-6909 + +Liao +Lauren D. + + +* + + +https://orcid.org/0000-0002-0409-6586 + +Pimentel +Samuel D. + + + + + +Division of Biostatistics, University of California, +Berkeley, USA + + + + +Department of Statistics, University of California, +Berkeley, USA + + + + +* E-mail: + + +3 +2 +2023 + +9 +103 +6093 + +Authors of papers retain copyright and release the +work under a Creative Commons Attribution 4.0 International License (CC +BY 4.0) +2024 +The article authors + +Authors of papers retain copyright and release the work under +a Creative Commons Attribution 4.0 International License (CC BY +4.0) + + + +R +observational study +study design +visualization +causal inference + + + + + + Summary +

Credible causal effect estimation requires treated subjects and + controls to be otherwise similar. In observational settings, such as + analysis of electronic health records, this is not guaranteed. + Investigators must balance background variables so they are similar in + treated and control groups. Common approaches include matching + (grouping individuals into small homogeneous sets) or weighting + (upweighting or downweighting individuals) to create similar profiles. + However, creating identical distributions may be impossible if many + variables are measured, and not all variables are of equal importance + to the outcome. The joint variable importance plot + (jointVIP) package guides decisions about which + variables to prioritize for adjustment by quantifying and visualizing + each variable’s relationship to both treatment and outcome.

+
+ + Statement of need +

Consider an observational study to measure the effect of a binary + treatment variable (treated/control) on an outcome, in which + additional covariates (background variables) are measured. A covariate + may be associated with outcomes, and it may also differ in + distribution between treated and controls; if the covariate is + associated with treatment and outcome, the covariate in question is a + confounder. Ignored confounders introduce bias into treatment effect + estimates. For instance, when testing a blood pressure drug, if older + patients both take the drug more and have worse initial blood + pressure, a simple difference in mean blood pressure between treated + and control subjects will understate the drug’s benefits. Confounding + can be addressed by matching, under which blood pressure is compared + only within pairs of patients with similar ages, or by weighting, in + which older control subjects receive larger weights than younger + control subjects when averaging blood pressure. When many potential + confounders are measured, however, neither matching nor weighting can + perfectly adjust for all differences, and researchers must select + which variables to focus on balancing.

+

Current practice for selecting variables for adjustment focuses + primarily on understanding the treatment relationship, via tools such + as balance tables and the Love plot + (Ahmed + et al., 2006; + Greifer + & Stuart, 2021; + Ben + B. Hansen & Bowers, 2008; + Rosenbaum + & Rubin, 1985; + Stuart + et al., 2011). A key metric is the standardized mean difference + (SMD), or the difference in treated and control means over a covariate + measure in standard deviations. Researchers commonly try to adjust so + that all SMD values are moderately small, or focus on adjustments for + variables with the largest initial SMD. However, these approaches + neglect important information about the relationship of each covariate + with the outcome variable, which substantially influences the degree + of bias incurred by ignoring it.

+

To improve observational study design, we propose the joint + variable importance plot (jointVIP) + (Liao + et al., 2024), implemented in the + jointVIP package. The jointVIP represents both + treatment and outcome relationships for each variable in a single + image: each variable’s SMD is plotted against an outcome correlation + measure (computed in a pilot control sample to avoid bias from + multiple use of outcome data). Bias curves based on unadjusted, simple + one-variable omitted variable bias models are plotted to improve + variable comparison. The jointVIP provides valuable insight into + variable importance and can be used to specify key parameters in + existing matching and weighting methods.

+
+ + Development +

The jointVIP package was created in the R + programming language + (R Core + Team, 2020). The package creates a new S3 class called + “jointvip” and uses S3 generic to dispatch + print(), summary(), and + plot(). Plotting the jointVIP object outputs a + plot of the ggplot2 class. An interactive R + Shiny application, available online at + https://ldliao.shinyapps.io/jointVIP/, showcases the package.

+
+ + Usage +

The jointVIP package is available from the + Comprehensive R Archive Network + CRAN + and + GitHub.

+ # installation using CRAN: +# install.packages("jointVIP") + +# installation using GitHub +# remotes::install_github('ldliao/jointVIP') + +library(jointVIP) +

To create an object of the jointVIP class, the user needs to supply + two datasets and specify the treatment, outcome, and background + variable names. Two processed datasets,“pilot” and “analysis” samples, + are in the form of data.frames. The analysis sample contains both + treated and control groups. The pilot sample contains only control + individuals, and they are excluded from the subsequent analysis stage. + The treatment variable must be binary: 0 specified for the control + group and 1 specified for the treated group. Background variables are + measured before both treatment and outcome. The outcome of interest + can be either binary or continuous.

+

We demonstrate the utility of this package to investigate the + effect of a job training program on earnings + (Dehejia + & Wahba, 1999; + Huntington-Klein + & Barrett, 2021; + LaLonde, + 1986). The treatment is whether the individual is selected for + the job training program. The outcome is earnings in 1978. Covariates + are age, education, race/ethnicity, and previous earnings in 1974 and + 1975. After + preprocessing + both dataset and log-transforming the earnings,, we use the + create_jointVIP() function to create a jointVIP + object stored as new_jointVIP.

+ # first define and get pilot_df and analysis_df +# they should both be data.frame objects + +treatment <- "treat" +outcome <- "log_re78" +covariates <- c("age", "educ", "black", + "hisp", "marr", "nodegree", + "log_re74", "log_re75") + +new_jointVIP = create_jointVIP(treatment = treatment, + outcome = outcome, + covariates = covariates, + pilot_df = pilot_df, + analysis_df = analysis_df) +

The plot() function displays a jointVIP + (Figure 1). The x-axis describes treatment imbalance in SMD (computed + with a denominator based on the pilot sample as in + (Liao + et al., 2024)). The y-axis describes outcome correlations in + the pilot sample. The summary() function + outputs the maximum absolute bias and the number of variables required + for adjustment above the absolute bias tolerance, + bias_tol. The bias_tol parameter can + be used in the print() function to see which + variables are above the desired tolerance. Additional tuning + parameters can be specified in these functions, for details and + examples, see + the + additional options vignette.

+ plot(new_jointVIP) + +

Joint variable importance plot + example.

+ +
+ summary(new_jointVIP, + smd = "cross-sample", + use_abs = TRUE, + bias_tol = 0.01) +# > Max absolute bias is 0.113 +# > 2 variables are above the desired 0.01 absolute bias tolerance +# > 8 variables can be plotted + +print(new_jointVIP, + smd = "cross-sample", + use_abs = TRUE, + bias_tol = 0.01) + +# > bias +# > log_re75 0.113 +# > log_re74 0.045 + +

To interpret our working example, the most important variables are + the previous earning variables in 1975 and 1974, + log_re75 and log_re74 + variables, respectively. Using the traditional visualization method, + the Love plot, would only identify variables based on the SMD. The + same information can be interpreted from the x-axis of the jointVIP. + For example, the Love plot would indicate variables, + nodegree and hisp, to be + more important for adjustment than log_re74. In + comparison, those variables, nodegree and + hisp, show low bias using the jointVIP.

+

After adjusting for variables, for example, using optimal matching + (Ben + B. Hansen & Klopfer, 2006; + Stuart + et al., 2011) to select pairs for analysis, a post-adjustment + dataset, post_analysis_df, can be used to create a + post adjustment object of class post_jointVIP. + The create_post_jointVIP() function can be used + to visualize and summarize the post adjustment results, as seen in + Figure 2. The functions: summary(), + print(), and plot() all + can take in the post_jointVIP object and provide comparison between + original and post adjusted jointVIPs.

+ post_optmatch_jointVIP <- create_post_jointVIP(new_jointVIP, + post_analysis_df = optmatch_df) + +

Post match example showing balanced sample based on new + mean + differences.

+ +
+ summary(post_optmatch_jointVIP) +# > Max absolute bias is 0.113 +# > 2 variables are above the desired 0.01 absolute bias tolerance +# > 8 variables can be plotted +# > +# > Max absolute post-bias is 0.005 +# > Post-measure has 0 variable(s) above the desired 0.005 absolute bias tolerance + +print(post_optmatch_jointVIP) +# > bias post_bias +# > log_re75 0.113 0.005 +# > log_re74 0.045 0.003 +
+ + Discussion +

We have developed user-friendly software to prioritize variables + for adjustment in observational studies. This package can help + identify important variables related to both treatment and outcome. + One limitation is that each background variable is individually + evaluated for bias. Thus, conditional relationships, interactions, or + higher moments of variables need to be carefully considered or + preprocessed by the user.

+
+ + Acknowledgements +

The authors thank Emily Z. Wang and all reviewers for helpful + comments. SDP is supported by Hellman Family Fellowship and by the + National Science Foundation (grant 2142146). LDL is supported by + National Science Foundation Graduate Research Fellowship (grant DGE + 2146752).

+
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