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Generates balance statistics for output objects from Matching.

Usage

# S3 method for Match
bal.tab(
  x,
  formula = NULL,
  data = NULL,
  treat = NULL,
  covs = NULL,
  stats,
  int = FALSE,
  poly = 1,
  distance = NULL,
  addl = NULL,
  continuous,
  binary,
  s.d.denom,
  thresholds = NULL,
  weights = NULL,
  cluster = NULL,
  imp = NULL,
  pairwise = TRUE,
  s.weights = NULL,
  abs = FALSE,
  subset = NULL,
  quick = TRUE,
  ...
)

Arguments

x

a Match object (the output of a call to Matching::Match() or Matching::Matchby()).

formula

a formula with the treatment variable as the response and the covariates for which balance is to be assessed as the predictors. All named variables must be in data. See Details.

data

a data frame containing variables named in formula, if supplied, and other arguments.

treat

a vector of treatment statuses. See Details.

covs

a data frame of covariate values for which to check balance. See Details.

stats

character; which statistic(s) should be reported. See stats for allowable options. For binary and multi-category treatments, "mean.diffs" (i.e., mean differences) is the default. For continuous treatments, "correlations" (i.e., treatment-covariate Pearson correlations) is the default. Multiple options are allowed.

int

logical or numeric; whether or not to include 2-way interactions of covariates included in covs and in addl. If numeric, will be passed to poly as well.

poly

numeric; the highest polynomial of each continuous covariate to display. For example, if 2, squares of each continuous covariate will be displayed (in addition to the covariate itself); if 3, squares and cubes of each continuous covariate will be displayed, etc. If 1, the default, only the base covariate will be displayed. If int is numeric, poly will take on the value of int.

distance

an optional formula or data frame containing distance values (e.g., propensity scores) or a character vector containing their names. If a formula or variable names are specified, bal.tab() will look in the argument to data, if specified. For longitudinal treatments, can be a list of allowable arguments, one for each time point.

addl

an optional formula or data frame containing additional covariates for which to present balance or a character vector containing their names. If a formula or variable names are specified, bal.tab() will look in the arguments to the input object, covs, and data, if specified. For longitudinal treatments, can be a list of allowable arguments, one for each time point.

continuous

whether mean differences for continuous variables should be standardized ("std") or raw ("raw"). Default "std". Abbreviations allowed. This option can be set globally using set.cobalt.options().

binary

whether mean differences for binary variables (i.e., difference in proportion) should be standardized ("std") or raw ("raw"). Default "raw". Abbreviations allowed. This option can be set globally using set.cobalt.options().

s.d.denom

character; how the denominator for standardized mean differences should be calculated, if requested. See col_w_smd() for allowable options. Abbreviations allowed. If not specified, bal.tab() will use "treated" if the estimand of the call to Match() is the ATT, "pooled" if the estimand is the ATE, and "control" if the estimand is the ATC.

thresholds

a named vector of balance thresholds, where the name corresponds to the statistic (i.e., in stats) that the threshold applies to. For example, to request thresholds on mean differences and variance ratios, one can set thresholds = c(m = .05, v = 2). Requesting a threshold automatically requests the display of that statistic. When specified, extra columns are inserted into the Balance table describing whether the requested balance statistics exceeded the threshold or not. Summary tables tallying the number of variables that exceeded and were within the threshold and displaying the variables with the greatest imbalance on that balance measure are added to the output.

weights

a vector, list, or data.frame containing weights for each unit, or a string containing the names of the weights variables in data, or an object with a get.w() method or a list thereof. The weights can be, e.g., inverse probability weights or matching weights resulting from a matching algorithm.

cluster

either a vector containing cluster membership for each unit or a string containing the name of the cluster membership variable in data or the input object. See class-bal.tab.cluster for details.

imp

either a vector containing imputation indices for each unit or a string containing the name of the imputation index variable in data or the input object. See class-bal.tab.imp for details. Not necessary if data is a mids object.

pairwise

whether balance should be computed for pairs of treatments or for each treatment against all groups combined. See bal.tab.multi() for details. This can also be used with a binary treatment to assess balance with respect to the full sample.

s.weights

Optional; either a vector containing sampling weights for each unit or a string containing the name of the sampling weight variable in data. These function like regular weights except that both the adjusted and unadjusted samples will be weighted according to these weights if weights are used.

abs

logical; whether displayed balance statistics should be in absolute value or not.

subset

a logical or numeric vector denoting whether each observation should be included or which observations should be included. If logical, it should have length equal to the number of units. NAs will be treated as FALSE. This can be used as an alternative to cluster to examine balance on subsets of the data.

quick

logical; if TRUE, will not compute any values that will not be displayed. Set to FALSE if computed values not displayed will be used later.

...

for some input types, other arguments that are required or allowed. Otherwise, further arguments to control display of output. See display options for details.

Value

If clusters and imputations are not specified, an object of class "bal.tab" containing balance summaries for the given object. See bal.tab() for details.

If clusters are specified, an object of class "bal.tab.cluster" containing balance summaries within each cluster and a summary of balance across clusters. See class-bal.tab.cluster for details.

Details

bal.tab() generates a list of balance summaries for the object given, and functions similarly to Matching::MatchBalance(). The input to bal.tab.Match() must include either both formula and data or both covs and treat. Using the formula + data inputs mirrors how Matching::MatchBalance() is used.

cobalt functions do not support Match object with sampling weights, i.e., with an argument passed to the weights argument of Matching::Match().

See also

bal.tab() for details of calculations.

Examples

library(Matching); data("lalonde", package = "cobalt")
#> Loading required package: MASS
#> ## 
#> ##  Matching (Version 4.10-14, Build Date: 2023-09-13)
#> ##  See https://www.jsekhon.com for additional documentation.
#> ##  Please cite software as:
#> ##   Jasjeet S. Sekhon. 2011. ``Multivariate and Propensity Score Matching
#> ##   Software with Automated Balance Optimization: The Matching package for R.''
#> ##   Journal of Statistical Software, 42(7): 1-52. 
#> ##

p.score <- glm(treat ~ age + educ + race + 
                   married + nodegree + re74 + re75, 
               data = lalonde, family = "binomial")$fitted.values
Match.out <- Match(Tr = lalonde$treat, X = p.score)

## Using formula and data
bal.tab(Match.out, formula = treat ~ age + educ + race + 
            married + nodegree + re74 + re75, data = lalonde)
#> Balance Measures
#>                Type Diff.Adj
#> age         Contin.   0.2106
#> educ        Contin.   0.0201
#> race_black   Binary   0.0054
#> race_hispan  Binary  -0.0051
#> race_white   Binary  -0.0003
#> married      Binary   0.0661
#> nodegree     Binary  -0.0079
#> re74        Contin.  -0.0772
#> re75        Contin.  -0.0127
#> 
#> Sample sizes
#>                      Control Treated
#> All                   429.       185
#> Matched (ESS)          49.17     185
#> Matched (Unweighted)  136.       185
#> Unmatched             293.         0