matchit: MatchIt: Matching Software for Causal Inference

In itpir/SimTests_DEPRECATED: MatchIt: Nonparametric Preprocessing for Parametric Casual Inference

Description

matchit is the main command of the package MatchIt, which enables parametric models for causal inference to work better by selecting well-matched subsets of the original treated and control groups. MatchIt implements the suggestions of Ho, Imai, King, and Stuart (2004) for improving parametric statistical models by preprocessing data with nonparametric matching methods. MatchIt implements a wide range of sophisticated matching methods, making it possible to greatly reduce the dependence of causal inferences on hard-to-justify, but commonly made, statistical modeling assumptions. The software also easily fits into existing research practices since, after preprocessing with MatchIt, researchers can use whatever parametric model they would have used without MatchIt, but produce inferences with substantially more robustness and less sensitivity to modeling assumptions. Matched data sets created by MatchIt can be entered easily in Zelig (http://gking.harvard.edu/zelig) for subsequent parametric analyses. Full documentation is available online at http://gking.harvard.edu/matchit, and help for specific commands is available through help.matchit.

Usage

matchit(formula, data, method = "nearest", distance = "logit",
               distance.options = list(), discard = "none",
               reestimate = FALSE, ...)

Arguments

formula	This argument takes the usual syntax of R formula, treat ~ x1 + x2, where treat is a binary treatment indicator and x1 and x2 are the pre-treatment covariates. Both the treatment indicator and pre-treatment covariates must be contained in the same data frame, which is specified as data (see below). All of the usual R syntax for formula works. For example, x1:x2 represents the first order interaction term between x1 and x2, and I(x1^2) represents the square term of x1. See help(formula) for details.
data	This argument specifies the data frame containing the variables called in formula.
method	This argument specifies a matching method. Currently, "exact" (exact matching), "full" (full matching), "genetic" (genetic matching), "nearest" (nearest neighbor matching), "optimal" (optimal matching), and "subclass" (subclassification) are available. The default is "nearest". Note that within each of these matching methods, MatchIt offers a variety of options.
distance	This argument specifies the method used to estimate the distance measure. The default is logistic regression, "logit". A variety of other methods are available.
distance.options	This optional argument specifies the optional arguments that are passed to the model for estimating the distance measure. The input to this argument should be a list.
discard	This argument specifies whether to discard units that fall outside some measure of support of the distance score before matching, and not allow them to be used at all in the matching procedure. Note that discarding units may change the quantity of interest being estimated. The options are: "none" (default), which discards no units before matching, "both", which discards all units (treated and control) that are outside the support of the distance measure, "control", which discards only control units outside the support of the distance measure of the treated units, and "treat", which discards only treated units outside the support of the distance measure of the control units.
reestimate	This argument specifies whether the model for distance measure should be re-estimated after units are discarded. The input must be a logical value. The default is FALSE.
...	Additional arguments to be passed to a variety of matching methods.

Details

The matching is done using the matchit(treat ~ X, ...) command, where treat is the vector of treatment assignments and X are the covariates to be used in the matching. There are a number of matching options, detailed below. The full syntax is matchit(formula, data=NULL, discard=0, exact=FALSE, replace=FALSE, ratio=1, model="logit", reestimate=FALSE, nearest=TRUE, m.order=2, caliper=0, calclosest=FALSE, mahvars=NULL, subclass=0, sub.by="treat", counter=TRUE, full=FALSE, full.options=list(), ...) A summary of the results can be seen graphically using plot(matchitobject), or numerically using summary(matchitobject). print(matchitobject) also prints out the output.

Value

call	The original matchit call.
formula	The formula used to specify the model for estimating the distance measure.
model	The output of the model used to estimate the distance measure. summary(m.out$model) will give the summary of the model where m.out is the output object from matchit.
match.matrix	An n_1 by ratio matrix where the row names, which can be obtained through row.names(match.matrix), represent the names of the treatment units, which come from the data frame specified in data. Each column stores the name(s) of the control unit(s) matched to the treatment unit of that row. For example, when the ratio input for nearest neighbor or optimal matching is specified as 3, the three columns of match.matrix represent the three control units matched to one treatment unit). NA indicates that the treatment unit was not matched.
discarded	A vector of length $n$ that displays whether the units were ineligible for matching due to common support restrictions. It equals TRUE if unit i was discarded, and it is set to FALSE otherwise.
distance	A vector of length n with the estimated distance measure for each unit.
weights	A vector of length n that provides the weights assigned to each unit in the matching process. Unmatched units have weights equal to 0. Matched treated units have weight 1. Each matched control unit has weight proportional to the number of treatment units to which it was matched, and the sum of the control weights is equal to the number of uniquely matched control units.
subclass	The subclass index in an ordinal scale from 1 to the total number of subclasses as specified in subclass (or the total number of subclasses from full or exact matching). Unmatched units have NA.
q.cut	The subclass cut-points that classify the distance measure.
treat	The treatment indicator from data (the left-hand side of formula).
X	The covariates used for estimating the distance measure (the right-hand side of formula).
nn	A basic summary table of matched data (e.g., the number of matched units)

Author(s)

Daniel Ho [e-mail]; Kosuke Imai [e-mail]; Gary King [e-mail]; Elizabeth [e-mail]

References

Daniel Ho, Kosuke Imai, Gary King, and Elizabeth Stuart (2007). Matching as Nonparametric Preprocessing for Reducing Model Dependence in Parametric Causal Inference. Political Analysis 15(3): 199-236. http://gking.harvard.edu/files/abs/matchp-abs.shtml

See Also

Please use help.matchit to access the matchit reference manual. The complete document is available online at http://gking.harvard.edu/matchit.

itpir/SimTests_DEPRECATED documentation built on May 18, 2019, 7:10 a.m.