Task view: Missing Data

Last updated on 2019-03-21 by Julie Josse, Nicholas Tierney and Nathalie Vialaneix (r-miss-tastic team)

Missing data are very frequently found in datasets. Base R provides a few options to handle them using computations that involve only observed data (na.rm = TRUE in functions mean, var, ... or use = complete.obs|na.or.complete|pairwise.complete.obs in functions cov, cor, ...). The base package stats also contains the generic function na.action that extracts information of the NA action used to create an object.

These basic options are complemented by many packages on CRAN, which we structure into main topics:

• Exploration of missing data
• Likelihood based approaches
• Single imputation
• Multiple imputation
• Weighting methods
• Specific types of data
• Specific application fields

If you think that we missed some important packages in this list, please contact the maintainer.

Exploration of missing data

• Manipulation of missing data is implemented in the packages sjmisc and sjlabelled. memisc also provides defineable missing values, along with infrastruture for the management of survey data and variable labels.
• Missing data patterns can be identified and explored using the packages mi, dlookr, wrangle, DescTools, and naniar.
• Graphics that describe distributions and patterns of missing data are implemented in VIM (which has a Graphical User Interface, VIMGUI) and naniar (which abides by tidyverse principles).
• Tests of the MAR assumption (versus the MCAR assumption) are implemented in the function LittleMCAR from BaylorEdPsych (Little's test) and from MissMech (a non parametric test).
• Evaluation with simulations can be performed using the function ampute of mice.

Likelihood based approaches

• Methods based on the Expectation Maximization (EM) algorithm are implemented in norm (using the function em.norm for multivariate Gaussian data), in cat (function em.cat for multivariate categorical data), in mix (function em.mix for multivariate mixed categorical and continuous data). These packages also implement Bayesian approaches (with Imputation and Posterior steps) for the same models (functions da.XXX for norm, cat and mix) and can be used to obtain imputed complete datasets or multiple imputations (functions imp.XXX for norm, cat and mix), once the model parameters have been estimated. In addition, TestDataImputation implements imputation based on EM estimation (and other simpler imputation methods) that are well suited for for dichotomous and polytomous test with item responses.
• Full Information Maximum Likelihood (also known as "direct maximum likelihood" or "raw maximum likelihood") is available in lavaan, OpenMx and rsem, for handling missing data in structural equation modeling.
• Bayesian approaches for handling missing values in model based clustering with variable selection is available in VarSelLCM. The package also provides imputation using the posterior mean.
• Missing values in mixed-effect models and generalized linear models are supported in the packages PSM, mdmb, icdGLM and JointAI, the last one being based on a Bayesian approach. brlrmr also handles MNAR values in response variable for logistic regression using an EM approach.
• Missing data in item response models is implemented in TAM, mirt and ltm and in idealstan.
• Variable selection under ignorable and non ignorable missing data mechanisms is implemented in TVsMiss.
• Robust covariance estimation is implemented in the package GSE.

Single imputation

• The simplest method for missing data imputation is imputation by mean (or median, mode, ...). This approach is available in many packages among which ForImp, Hmisc, and dlookr that contain various proposals for imputing the same value for all missing data of a variable. This method and other simple imputation methods are also available in tidyimpute that works after the tidyverse approach.
• k-nearest neighbors is a popular method for missing data imputation that is available in many packages including DMwR, impute, VIM, GenForImp and yaImpute (with many different methods for kNN imputation, including a CCA based imputation). wNNSel implements a kNN based method for imputation in large dimensional datasets.
• hot-deck imputation is implemented in hot.deck, HotDeckImputation, FHDI and VIM (function hotdeck).
• Other regression based imputations are implemented in VIM (linear regression based imputation in the function regressionImp). In addition, simputation that is a general package for imputation by any prediction method that can be combined with various regression methods, and works well with the tidyverse. WaverR imputes data using a weighted average of several regressions.
• Based on random forest in missForest.
• Based on copula in CoImp and in sbgcop (semi-parametric Bayesian copula imputation). The last one supports multiple imputation.
• PCA/Singular Value Decomposition/matrix completion is implemented in the package missMDA for numerical, categorical and mixed data. softImpute contains several methods for iterative matrix completion, as well as filling and denoiseR for numerical variables, or mimi that uses low rank assumption to impute mixed datasets. The package pcaMethods offers some Bayesian implementation of PCA with missing data. NIPALS (based on SVD computation) is implemented in the packages mixOmics (for PCA and PLS), ade4, nipals and plsRglm (for generalized model PLS). ddsPLS implements a multi-block imputation method based on PLS in a supervise framework. NNLM implements a non-negative matrix factorization imputation. ROptSpace and CMF proposes a matrix completion method under low-rank assumption and collective matrix factorization for imputation using Bayesian matrix completion for groups of variables (binary, quantitative, poisson). Imputation for groups is also avalaible in the missMDA in the function imputeMFA.
• Imputation for non-parametric regression by wavelet shrinkage is implemented in CVThresh using solely maximization of the h-likelihood.
• mi and VIM also provide diagnostic plots to evaluate the quality of imputation.

Multiple imputation

Some of the above mentionned packages can also handle multiple imputations.

• Amelia implements Bootstrap multiple imputation using EM to estimate the parameters, for quantitative data it imputes assuming a Multivariate Gaussian distribution. In addition, AmeliaView is a GUI for Amelia, available from the Amelia web page. NPBayesImputeCat also implements multiple imputation by joint modelling for categorical variables with a Bayesian approach.
• mi, mice and smcfcs implement multiple imputation by Chained Equations. smcfcs extends the models covered by the two previous packages. miceFast provides an alternative implementation of mice imputation methods using object oriented style programming and c++. miceMNAR imputes MNAR responses under Heckman selection model for use with mice.
• missMDA implements multiple imputation based on SVD methods.
• MixedDataImpute (for mixed datasets) suggests multiple imputation based on Bayesian nonparametrics methods.
• hot.deck implements hot deck based multiple imputation and StatMatch uses multiple hot deck imputation to impute surveys from an external dataset.
• Multilevel imputation: Multilevel multiple imputation is implemented in hmi, jomo, mice, miceadds, micemd, mitml and pan.
• Qtools implements multiple imputation based on quantile regression.
• Tree based multiple imputation is available in CALIBERrfimpute, which performs multiple imputation based on random forest (also available in mice) and in sbart, which proposes sequential BART (Bayesian Additive Regression Trees) to impute missing covariates.
• BaBooN implements a Bayesian bootstrap approach for discrete data imputation that is based on Predictive Mean Matching (PMM).
• accelmissingmultiple imputation with the zero-inflated Poisson lognormal model for missing count values in accelerometer data.

In addition, mitools provide a generic approach to handle multiple imputation in combination with any imputation method.

Weighting methods

• Computation of weights for observed data to account for data unobserved by Inverse Probability Weighting (IPW) is implemented in ipw.
• Doubly Robust Inverse Probability Weighted Augmented GEE Estimator with missing outcome is implemented in CRTgeeDR.

Specific types of data

• Longitudinal data / time series and censored data: Imputation for time series is implemented in imputeTS and imputePSF. Other packages, such as forecast, spacetime, timeSeries, xts, prophet, stlplus or zoo, are dedicated to time series but also contain some (often basic) methods to handle missing data (see also TimeSeries). To help fill down missing values for time series, the padr and tsibble packages provides methods for imputing implicit missing values. Imputation of time series based on Dynamic Time Warping is implemented in DTWBI for univariate time series and in DTWUMI for multivariate ones. naniar also imputed data below the range for exploratory graphical analysis with the function impute_below. TAR implements an estimation of the autoregressive threshold models with Gaussian noise and of positive-valued time series with a Bayesian approach in the presence of missing data. swgee implements a probability weighted generalized estimating equations method for longitudinal data with missing observations and measurement error in covariates based on SIMEX. icenReg performs imputation for censored responses for interval data. imputeTestbench proposes tools to benchmark missing data imputation in univariate time series.
• Spatial data: Imputation for spatial data is implemented in phylin using interpolation with spatial distance weights or kriging. gapfill is dedicated to satellite data and geostatistical interpolation of data with irregular spatial support is implemented in rtop
• Spatio-temporal data: Imputation for spatio-temporal data is implemented in the package cutoffR using different methods as knn and SVD. Similarly, reddPrec imputes missing values in daily precipitation time series accross different locations and sptemExp imputes missing data air polluant concentrations.
• Graphs/networks: Imputation for graphs/networks is implemented in the package dils to impute missing edges. PST provides a framework for analyzing Probabilistic Suffix Trees, including functions for learning and optimizing VLMC (variable length Markov chains) models from sets of individual sequences possibly containing missing values.
• Imputation for contingency table is implemented in lori that can also be used for the analysis of contingency tables with missing data.
• Imputation for compositional data (CODA) is implemented in robCompositions (based on kNN or EM approaches) and in zCompositions (various imputation methods for zeros, left-censored and missing data).
• Imputation for diffusion processes is implemented in DiffusionRimp by imputing missing sample paths with Brownian bridges.
• experiment handles missing values in experimental design such as randomized experiments with missing covariate and outcome data, matched-pairs design with missing outcome.
• cdparcoord handles missing values in parallel coordinates settings.

Specific application fields

• Genetics: SNPassoc provides function to visualize missing data in the case of SNP studies (genetics). Analyses of Case-Parent Triad and/or Case-Control Data with SNP haplotypes is implemented in Haplin, where missing genotypic data are handled with an EM algorithm. FamEvent and snpStats implement imputation of missing genotypes, respectively with an EM algorithm and a nearest neighbor approach. Imputation for genotype and haplotype is implemented in alleHap using solely deterministic techniques on pedigree databases and imputation of missing genotypes are also implemented in QTLRel that contains tools for QTL analyses. Tools for Hardy-Weinberg equilibrium for bi- and multi-allelic genetic marker data are implemented in HardyWeinberg, where genotypes are imputed with a multinomial logit model. StAMPP computes genomic relationship when SNP genotype datasets contain missing data and PSIMEX computes inbreeding depression or heritability on pedigree structures affected by missing paternities with a variant of the SIMEX algorithm.
• Genomics: Imputation for dropout events (i.e., under-sampling of mRNA molecules) in single-cell RNA-Sequencing data is implemented in DrImpute and Rmagic. RNAseqNet uses hot-deck imputation to improve RNA-seq network inference with an auxiliary dataset.
• Phylogeny: Rphylopars can perform ancestral state reconstruction and missing data imputation on the estimated evolutionary mode in phylogeny (traits/species) datasets. TreePar and TreeSim respectively estimate birth and death rates for phylogeny and simulate philogenic trees with incomplete phylogeny (missing species).
• Epidemiology: powerlmm implements power calculation for time x treatment effects in the presence of dropouts and missing data in mixed linear models and pseval evaluates principal surrogates in a single clinical trial in the presence of missing counterfactual surrogate responses. idem provides missing data imputation with a sensitivity analysis strategy to handle the unobserved functional outcomes not due to death.
• Causal inference: cobalt computes the balance of variables from multiple imputed data sets. Similarly, causal inference with interactive fixed-effect models is available in gsynth with missing values handled by matrix completion. Sensitivity analysis to help diagnose missing data and imputation is implemented in TippingPoint. In addition, sensitivity analysis of the MAR assumption is implemented in samon under monotone and non monotone patterns of missing data.
• Scoring: Basic methods (mean, median, mode, ...) for imputing missing data in scoring datasets are proposed in scorecardModelUtils.
• Preference models: Missing data in preference models are handled with a Composite Link approach that allows for MCAR and MNAR patterns to be taken into account in prefmod.
• Administrative records: fastLink provides a Fellegi-Sunter probabilistic record linkage that allows for missing data and the inclusion of auxiliary information.
• Regression and classification eigenmodel handles missing values in regression models for symmetric relational data. randomForest and StratifiedRF handles missing values in predictors for random forest like methods.
• robustrao computes the Rao-Stirling diversity index (a well-established bibliometric indicator to measure the interdisciplinarity of scientific publications) with data containing uncategorized references.

Links

• Task view: TimeSeries
• Bioconductor package: impute
• Bioconductor package: snpStats
• pcaMethods
• Bioconductor package: mixOmics
• Amelia II: A Program for Missing Data
• A resource website on missing data