“Background: Multiple imputation is often used for missing data. When a model contains as covariates more than one function of a variable,
it is not obvious how best to impute missing values in these covariates. Consider a regression with outcome Y and covariates X and X-2. In ‘passive imputation’ a value X* is imputed for X and then X-2 is imputed as (X*)(2). A recent proposal is to treat X-2 as ‘just another variable’ (JAV) and impute X and X-2 under multivariate normality.
Methods: We use simulation to investigate the performance of three methods that can easily be implemented in standard software: 1) linear regression of X on Y to impute X then passive imputation of X-2; 2) the same regression but with predictive mean matching (PMM); and 3) JAV. We also investigate the performance of analogous methods when the analysis involves an interaction, and study the theoretical properties of JAV. The application check details of the methods
when complete or incomplete confounders are also present is illustrated using data from the EPIC Study.
Results: JAV gives LGX818 cost consistent estimation when the analysis is linear regression with a quadratic or interaction term and X is missing completely at random. When X is missing at random, JAV may be biased, but this bias is generally less than for passive imputation and PMM. Coverage for JAV was usually good when bias was small. However, in some scenarios with a more pronounced quadratic effect, bias was large and coverage poor.
When the analysis was logistic regression, JAV’s performance was sometimes very poor. PMM generally improved on passive 3-Methyladenine imputation, in terms of bias and coverage, but did not eliminate the bias.
Conclusions: Given the current state of available software, JAV is the best of a set of imperfect imputation methods for linear regression with a quadratic or interaction effect, but should not be used for logistic regression.”
“The reaction of 1-(3-bromopropyl)-2,5-bis(thiophen-2-yl)-1H-pyrrole with cesium 5-methylsulfanyl-2-thioxo-1,3-dithiole-4-thiolate generated in situ gave previously unknown 4-3-[2,5-bis(thiophen-2-yl)-1H-pyrrol-1-yl]propylsulfanyl-5-methylsulfanyl-1,3-dithiole-2-thione, and cross-coupling of the latter with 4,5-disubstituted 1,3-dithiole-2-thiones in the presence of triethyl phosphite afforded new substituted tetrathiafulvalenes containing a 2,5-bis(thiophen-2-yl)pyrrole fragment. Optical properties and electrochemical behavior of the synthesized compounds were studied, and their ability to undergo electropolymerization was confirmed.”
“OBJECTIVE: To identify nutritional and socio-demographic factors for the development of tuberculosis (TB) in Timor and Rote Island, Indonesia, so that intervention programmes can be developed to address these factors.
METHODS: In a case-control study, we enrolled new sputum smear-positive pulmonary TB patients as cases, and neighbours matched for sex and age as controls.