Nonconvergence,improper solutions,and starting values in lisrel maximum likelihood estimation

In the framework of a robustness study on maximum likelihood estimation with LISREL three types of problems are dealt with: nonconvergence, improper solutions, and choice of starting values. The purpose of the paper is to illustrate why and to what extent these problems are of importance for users of LISREL. The ways in which these issues may affect the design and conclusions of robustness research is also discussed.     

Children’s rights and the non-identity problem

Abstract

Can appealing to children’s rights help to solve the non-identity problem in cases of procreation? A number of philosophers have answered affirmatively, arguing that even if children cannot be harmed by being born into disadvantaged conditions, they may nevertheless be wronged if those conditions fail to meet a minimal standard of decency to which all children are putatively entitled. This paper defends the tenability of this view by outlining and responding to five prominent objections that have been raised against it in the contemporary literature: (1) the identifiability objection; (2) the non-existence objection; (3) the waiving of rights objection, (4) the lack of legitimate complaint objection; and (5) the unfairness objection.     

CROSSING THE DIVIDE: LESSONS FROM DEVELOPING WIND ENERGY IN POST‐FACT AMERICA

The income and careers that come with building wind turbines have become a lifeline for many factory towns and farming communities. Generating electricity from the wind puts increasingly cheap power on the grid, saving consumers billions a year. And it is one of the biggest, fastest, cheapest ways to reduce carbon pollution, reducing the threat of climate change. Yet as wind farms have rapidly spread to forty‐one states, their developers must make their case anew with each community that hosts them. Facts matter, but so do empathy, honoring deep connections to neighbors and landscape, and developing mutual respect. Successful wind farm developers listen first for shared values and speak with inclusive language, to communicate with potential opponents across divides of misunderstanding and motivate local residents to adapt to and benefit from change.     

Long-term natural ageing of a dissociated dislocation in a Cu-13.43 at.% Al alloy

The nature of impurity-dislocation interactions is one of the key questions governing the strength and plasticity of solid-solution materials. To investigate the influence of impurities on the mechanical properties of intermetallic NiAl, the electronic structure and energy of NiAl with a <100>{010} edge dislocation and transition-metal impurities was calculated using the real-space tight-binding linear muffin-tin orbital method. The localized electronic states, appearing in the core of the dislocation, are found to lead to strong impurity-dislocation interactions via two mechanisms: firstly, chemical locking, due to strong hybridization between impurity electronic states and dislocation localized states; secondly, electrostatic locking, due to long-range charge oscillations caused by the electron localization in the dislocation core. The results obtained explain qualitatively why the solid-solution hardening effect in NiAl correlates with the electronic structure of impurities rather than with size misfit, as expected according to traditional views.     

Human Nature: What We Need to Know about Ourselves in the Twenty-First Century

The Western worldview that now dominates the planet embodies beliefs about human nature that are inconsistent with our evolutionarily evolved natures. Its "logic" at best ignores and at worst creates the symptoms of the modern world, which if uncorrected predict severe crises in coming centuries: population growth, environmental destruction, economic collapse, and increasing social violence. In contrast, there are numerous communities today creating alternative solutions based on different understandings of human nature and human needs: cooperation rather than competition; meaningful social identity; and respect for and trust in the autonomous behavior of all persons. There exist optimistic future models.     

Dealing with Multiple Solutions in Structural Vector Autoregressive Models

Structural vector autoregressive models (VARs) hold great potential for psychological science, particularly for time series data analysis. They capture the magnitude, direction of influence, and temporal (lagged and contemporaneous) nature of relations among variables. Unified structural equation modeling (uSEM) is an optimal structural VAR instantiation, according to large-scale simulation studies, and it is implemented within an SEM framework. However, little is known about the uniqueness of uSEM results. Thus, the goal of this study was to investigate whether multiple solutions result from uSEM analysis and, if so, to demonstrate ways to select an optimal solution. This was accomplished with two simulated data sets, an empirical data set concerning children's dyadic play, and modifications to the group iterative multiple model estimation (GIMME) program, which implements uSEMs with group- and individual-level relations in a data-driven manner. Results revealed multiple solutions when there were large contemporaneous relations among variables. Results also verified several ways to select the correct solution when the complete solution set was generated, such as the use of cross-validation, maximum standardized residuals, and information criteria. This work has immediate and direct implications for the analysis of time series data and for the inferences drawn from those data concerning human behavior.     

Approximation of Value Efficient Solutions

We introduce an approximation set to the value efficient set in multiobjective problems under partial information on the decision maker's preferences modelled by a vector value function. We show monotonicity and convergence properties based on increasingly precise vector value functions with two components, which improve the approximation and might be a support to possible solution methods. © 1997 John Wiley & Sons, Ltd.     

A General Approach for Fitting Pure Exploratory Bifactor Models

This article proposes a procedure for fitting a pure exploratory bifactor solution in which the general factor is orthogonal to the group factors, but the loadings on the group factors can satisfy any orthogonal or oblique rotation criterion. The proposal combines orthogonal Procrustes rotations with analytical rotations and consists of a sequence of four steps. The basic input is a semispecified target matrix that can be (a) defined by the user, (b) obtained by using Schmid-Leiman orthogonalization, or (c) automatically built from a conventional unrestricted solution based on a prescribed number of factors. The relevance of the proposal and its advantages over existing procedures is discussed and assessed via simulation. Its feasibility in practice is illustrated with two empirical examples in the personality domain.     

A factor related to the strength of an "Aha!" experience

Abstract: It is natural to assume that the strength of an "Aha!" becomes stronger when an unexpected solution is correct. In this study, this assumption is examined experimentally through a list of possible correct solutions. In the experiment, subjects listed the possible correct solutions before solving the problems, and evaluated the strength of their "Aha!" experience after they solved the problems. It was shown that the strength of the "Aha!" experience was strongest if the correct answer had not been included in the list of possible correct solutions; if included, the strength of the "Aha!" experience corresponded to the answer's position in the list, that is, the later the correct solution listed, the stronger the feeling became. It is suggested that the strength of an "Aha!" experience can be used as an error function in the learning process.     

Noniterative estimation and the choice of the number of factors in exploratory factor analysis

Based on the usual factor analysis model, this paper investigates the relationship between improper solutions and the number of factors, and discusses the properties of the noniterative estimation method of Ihara and Kano in exploratory factor analysis. The consistency of the Ihara and Kano estimator is shown to hold even for an overestimated number of factors, which provides a theoretical basis for the rare occurrence of improper solutions and for a new method of choosing the number of factors. The comparative study of their estimator and that based on maximum likelihood is carried out by a Monte Carlo experiment.The author would like to express his thanks to Masashi Okamoto and Masamori Ihara for helpful comments and to the editor and referees for critically reading the earlier versions and making many valuable suggestions. He also thanks Shigeo Aki for his comments on physical random numbers.