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      Using a Gaussian Graphical Model to Explore Relationships Between Items and Variables in Environmental Psychology Research

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          Abstract

          Exploratory analyses are an important first step in psychological research, particularly in problem-based research where various variables are often included from multiple theoretical perspectives not studied together in combination before. Notably, exploratory analyses aim to give first insights into how items and variables included in a study relate to each other. Typically, exploratory analyses involve computing bivariate correlations between items and variables and presenting them in a table. While this is suitable for relatively small data sets, such tables can easily become overwhelming when datasets contain a broad set of variables from multiple theories. We propose the Gaussian graphical model as a novel exploratory analyses tool and present a systematic roadmap to apply this model to explore relationships between items and variables in environmental psychology research. We demonstrate the use and value of the Gaussian graphical model to study relationships between a broad set of items and variables that are expected to explain the effectiveness of community energy initiatives in promoting sustainable energy behaviors.

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          Most cited references23

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          Sparse inverse covariance estimation with the graphical lasso.

          We consider the problem of estimating sparse graphs by a lasso penalty applied to the inverse covariance matrix. Using a coordinate descent procedure for the lasso, we develop a simple algorithm--the graphical lasso--that is remarkably fast: It solves a 1000-node problem ( approximately 500,000 parameters) in at most a minute and is 30-4000 times faster than competing methods. It also provides a conceptual link between the exact problem and the approximation suggested by Meinshausen and Bühlmann (2006). We illustrate the method on some cell-signaling data from proteomics.
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            Missing data: our view of the state of the art.

            Statistical procedures for missing data have vastly improved, yet misconception and unsound practice still abound. The authors frame the missing-data problem, review methods, offer advice, and raise issues that remain unresolved. They clear up common misunderstandings regarding the missing at random (MAR) concept. They summarize the evidence against older procedures and, with few exceptions, discourage their use. They present, in both technical and practical language, 2 general approaches that come highly recommended: maximum likelihood (ML) and Bayesian multiple imputation (MI). Newer developments are discussed, including some for dealing with missing data that are not MAR. Although not yet in the mainstream, these procedures may eventually extend the ML and MI methods that currently represent the state of the art.
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              Group-level self-definition and self-investment: a hierarchical (multicomponent) model of in-group identification.

              Recent research shows individuals' identification with in-groups to be psychologically important and socially consequential. However, there is little agreement about how identification should be conceptualized or measured. On the basis of previous work, the authors identified 5 specific components of in-group identification and offered a hierarchical 2-dimensional model within which these components are organized. Studies 1 and 2 used confirmatory factor analysis to validate the proposed model of self-definition (individual self-stereotyping, in-group homogeneity) and self-investment (solidarity, satisfaction, and centrality) dimensions, across 3 different group identities. Studies 3 and 4 demonstrated the construct validity of the 5 components by examining their (concurrent) correlations with established measures of in-group identification. Studies 5-7 demonstrated the predictive and discriminant validity of the 5 components by examining their (prospective) prediction of individuals' orientation to, and emotions about, real intergroup relations. Together, these studies illustrate the conceptual and empirical value of a hierarchical multicomponent model of in-group identification.
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                Author and article information

                Contributors
                Journal
                Front Psychol
                Front Psychol
                Front. Psychol.
                Frontiers in Psychology
                Frontiers Media S.A.
                1664-1078
                09 May 2019
                2019
                : 10
                : 1050
                Affiliations
                [1] 1Department of Psychometrics and Statistics, University of Groningen , Groningen, Netherlands
                [2] 2Faculty of Science, Informatics Institute, Universiteit van Amsterdam , Amsterdam, Netherlands
                [3] 3Department of Environmental Psychology, University of Groningen , Groningen, Netherlands
                Author notes

                Edited by: Tony Peter Craig, James Hutton Institute, United Kingdom

                Reviewed by: Jed J. Cohen, Energy Institute at Johannes Kepler University, Austria; Fabrizio Scrima, Université de Rouen, France

                *Correspondence: Nitin Bhushan n.bhushan@ 123456rug.nl

                This article was submitted to Environmental Psychology, a section of the journal Frontiers in Psychology

                Article
                10.3389/fpsyg.2019.01050
                6521910
                31143150
                ab21a477-ce67-42e8-82b7-4478dc642503
                Copyright © 2019 Bhushan, Mohnert, Sloot, Jans, Albers and Steg.

                This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

                History
                : 07 February 2019
                : 24 April 2019
                Page count
                Figures: 7, Tables: 0, Equations: 0, References: 45, Pages: 12, Words: 7643
                Funding
                Funded by: Nederlandse Organisatie voor Wetenschappelijk Onderzoek 10.13039/501100003246
                Categories
                Psychology
                Methods

                Clinical Psychology & Psychiatry
                graphical model,exploratory analyses,subgroup analysis,community energy initiatives,data visualization methods

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