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Journal ArticleDOI

Inference and missing data

Donald B. Rubin
- 01 Dec 1976 - 
- Vol. 63, Iss: 3, pp 581-592
TLDR
In this article, it was shown that ignoring the process that causes missing data when making sampling distribution inferences about the parameter of the data, θ, is generally appropriate if and only if the missing data are missing at random and the observed data are observed at random, and then such inferences are generally conditional on the observed pattern of missing data.
Abstract
Two results are presented concerning inference when data may be missing. First, ignoring the process that causes missing data when making sampling distribution inferences about the parameter of the data, θ, is generally appropriate if and only if the missing data are “missing at random” and the observed data are “observed at random,” and then such inferences are generally conditional on the observed pattern of missing data. Second, ignoring the process that causes missing data when making Bayesian inferences about θ is generally appropriate if and only if the missing data are missing at random and the parameter of the missing data is “independent” of θ. Examples and discussion indicating the implications of these results are included.

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Citations
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Journal ArticleDOI

Imputations of Missing Values in Practice: Results from Imputations of Serum Cholesterol in 28 Cohort Studies

TL;DR: A comparison of eight imputation procedures and the naive, complete participant analysis for each of 28 studies in the Asia Pacific Cohort Studies Collaboration found clear differences existed between the methods, in which case past research suggests that multiple imputation is the method of choice.
Journal ArticleDOI

Distinguishing “Missing at Random” and “Missing Completely at Random”

TL;DR: It is argued that practitioners who face potentially non-ignorable incomplete data must consider both the mode of inference and the nature of the conditioning when deciding which ignorability condition to invoke.
Journal ArticleDOI

Dealing With Missing Data in Developmental Research

TL;DR: A brief introduction to modern methods for handling missing data and their application to developmental research is provided.

RESEARCH REPORTS Leader Vision and the Development of Adaptive and Proactive Performance: A Longitudinal Study

TL;DR: The authors proposed that leader vision would lead to an increase in adaptivity for employees who were high in openness to work role change and would be associated with a increase in proactivity when employees wereHigh in role breadth self-efficacy.
References
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Book

Bayesian inference in statistical analysis

TL;DR: In this article, the effect of non-normality on inference about a population mean with generalizations was investigated. But the authors focused on the effect on the mean with information from more than one source.
Journal ArticleDOI

Maximum Likelihood Estimates for a Multivariate Normal Distribution when Some Observations are Missing

TL;DR: In this paper, the authors give an approach to derive maximum likelihood estimates of parameters of multivariate normal distributions in cases where some observations are missing (Edgett [2] and Lord [3], [4]).
Journal ArticleDOI

Missing Observations in Multivariate Statistics I. Review of the Literature

TL;DR: In this paper, a review of the literature on the problem of handling multivariate data with observations missing on some or all of the variables under study is presented, where the authors examine the ways that statisticians have devised to estimate means, variances, correlations and linear regression functions.