ON PSYCHOPHYSICS IN GENERAL AND THE GENERAL PSYCHOPHYSICAL DIFFERENTIAL EQUATION IN PARTICULAR

The first part of the paper discusses theoretical issues regarding the problem of measurement in psychophysics and the suitable choice of a subjective scale, with special reference to the views of Ekman, Ross, Suppes & Zinnes, and Treisman. The theory of the GPDE is discussed more fully than before. In the second part, further empirical confirmation of the GPDE is given for the following combinations of Weber functions: constant-constant, linear-linear, linear-parabolic, parabolic-parabolic.     

Detection of auditory signals presented at random times,II

The paper includes experimental results obtained using two procedures in which signals are presented at random times. A simple three-stage theory consisting of a sensory process, followed by a response bias, and ending in a response process, involving a random delay, and that mayor may not have a memory, is compared with the data. The free-response procedure yielded data that could not be accounted for by a first version of the theory in which the crucial assumption about the response process was that once a response process is under way it locks out all further inputs until the response is made. Alternative models, including a race between response processes with the first response suppressing all others and a simple first-in first-out queue, were equally inadequate. On the assumption that the difficulties lie in the complexities of the response process when there are two or more inputs close in time, we decided to avoid these theoretical difficulties by using a modified reaction-time procedure. The initial results are encouraging. The tails of the latency distributions appear to be exponentially distributed and a theoretical prediction that two of the time constants should be the same appears to be supported. The major indications of difficulties are inconclusive evidence that the response bias parameter may not be constant and, possibly related, that the initial portion of the tails may overshoot the predicted value. In spite of the possible variation in the bias parameter, estimates of the signal-plus-noise to noise-alone parameters increase in a systematic manner with signal strength     

Das Problem der Chronometerauswahl

On Choice of Time Metric. What criteria ought to be satisfied by those observable processes which, accompanied by a function assigning values to intervals of that processes, serve as the standard for measurement of time? In how far do the criteria which can reasonably be established admit of an unambigous definition of time metric? That are the questions to which I have addressed myself in the paper. Peter Janich has aimed at solving the problem with careful avoidance of any reference to physical theory. Although this paper owes a great deal to his ‘Protophysik der Zeit’, reasons will be ad-vanced that it is in principle impossible to give a foundation of time metric without any reference to physical theory. It follows that taking results of physical theory into account is unavoidable as far as a definite decision concerning the choice of time metric is aspired. At first sight reference to law-like assertions on the duration of temporal intervals appears to be paradoxical for it means to take something which originally ought to be submitted to experimental test as the standard for measurement. Poincaré is fairly conscious of this problem, yet explicitly acknowledges that there is a mutual relationship between definition of time metric and physical theory. It will be shown that this kind of mutual relationship which even might be termed as circular does not void physical theory of empirical content. Thus in the final part I am concerned to free the position which recommends reference to physical theory from its paradoxical image in order to advance a conventionalist account as a sceptical, but nevertheless fully satisfying solution.     

Maximum Likelihood Methods in Treating Outliers and Symmetrically Heavy-Tailed Distributions for Nonlinear Structural Equation Models with Missing Data

By means of more than a dozen user friendly packages, structural equation models (SEMs) are widely used in behavioral, education, social, and psychological research. As the underlying theory and methods in these packages are vulnerable to outliers and distributions with longer-than-normal tails, a fundamental problem in the field is the development of robust methods to reduce the influence of outliers and the distributional deviation in the analysis. In this paper we develop a maximum likelihood (ML) approach that is robust to outliers and symmetrically heavy-tailed distributions for analyzing nonlinear SEMs with ignorable missing data. The analytic strategy is to incorporate a general class of distributions into the latent variables and the error measurements in the measurement and structural equations. A Monte Carlo EM (MCEM) algorithm is constructed to obtain the ML estimates, and a path sampling procedure is implemented to compute the observed-data log-likelihood and then the Bayesian information criterion for model comparison. The proposed methodologies are illustrated with simulation studies and an example. The research described herein was fully supported by a grant (CUHK 4243/03H) from the Rearch Grants Council of the Hong Kong Special Administration Region. The authors are thankful to the Editor, the Associate Editor, and anonymous reviewers for valuable comments which improve the paper significantly, and are grateful to ICPSR and the relevant funding agency for allowing the use of their data. Requests for reprints should be sent to S. Y. Lee, Department of Statistics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong.     

Coin trials

According to the JUSTIFIED FAIR COINS principle, if I know that a coin is fair, and I lack justification for believing that it won’t be flipped, then I lack justification for believing that it won’t land tails. What this principle says, in effect, is that the only way to have justification for believing that a fair coin won’t land tails, is by having justification for believing that it won’t be flipped at all. Although this seems a plausible and innocuous principle, in a recent paper Dorr, Goodman and Hawthorne use it in devising an intriguing puzzle which places all justified beliefs about the future in jeopardy. They point out, further, that one very widespread theory of justification predicts that JUSTIFIED FAIR COINS is false, giving us additional reason to reject it. In this paper, I will attempt to turn this dialectic around. I will argue that JUSTIFIED FAIR COINS does not inevitably lead to scepticism about the future, and the fact that it is incompatible with a widespread theory of justification may give us reason to doubt the theory. I will outline an alternative theory of justification that predicts both that JUSTIFIED FAIR COINS is true and that we have justification for believing much about the future.     

让建言更多含金量：员工建言质量的前因机制

员工高质量的建议是企业提质增效的重要途径。然而, 以往研究主要聚焦在员工的“建言参与”和“建言数量”上, 忽略了一个最本质的问题——员工的建言质量如何?为解决这一关键问题, 分别从员工建言质量的内涵、测量、前因机制的角度构建一个关于员工建言质量的系统研究。研究一基于扎根理论, 探讨员工建言质量的内涵与结构, 开发员工建言质量的测量工具; 研究二是基于内隐建言理论, 从个体和团队两个层面探讨员工与领导的批判性思维对员工建言质量的影响机制。理论贡献在于推动员工建言质量的理论构建, 拓展批判性思维理论、内隐建言理论的应用。     

How to discover that the real is unreal

The measurement problem in quantum mechanics is presented in a completely non-technical way by means of the results of some very simple experiments. These experimental results themselves, rather than the formalism of quantum theory, are shown to be extremely hard to incorporate in a sensible state-space picture of the world. A novel twist is then added which makes the problem even harder than it appears to be in other presentations of the measurement problem.     

Linear Measurement Models-Axiomatizations and Axiomatizability

This paper examines, in the scope of representational measurement theory, different axiomatizations and axiomatizability of linear and bilinear representations of ordinal data contexts in real vector spaces. The representation theorems proved in this paper are modifications and generalizations of Scott's characterization of finite linear measurement models. The advantage of these representation theorems is that they use only finitely many axioms, the number of which depends on the size of the given ordinal data context. Concerning the axiomatizability, it is proved by model-theoretic methods that finite linear measurement models cannot be axiomatized by a finite set of first order axioms. Copyright 2000 Academic Press.     

Intentions,actions and routines: A problem in Krister Segerberg's theory of action

The aim of this paper is to make a critical assessment of Krister Segerberg's theory of action. The first part gives a critical presentation of the key concepts in Segerberg's informal theory of action. These are the ideas that motivate the formal models he develops. In the second part it is argued that if one takes all of Segerberg's motivating ideas seriously, problems are forthcoming. The main problem is that on this theory the agents seem to be bound to realize all of their intentions, a problem that stems from Segerberg's attempt to individuate actions in terms of the agent's intentions. On the ground that this unfortunate result is forthcoming in both of Segerberg's approaches to the logic of action it is concluded that the conceptual basis of the theory is problematic.     

Reincarnation and infinite punishment in hell

In the first part of the paper, I argue that Christians should incorporate the theory of reincarnation into their belief system. The problem of the apparent disproportion between finite human sin and infinite punishment in Hell becomes far more tractable against the background of reincarnation. In the second part of the paper, I address and answer three objections that may be raised against a Christian theory of reincarnation. The first objection is based on the role of memory in identity, the second points to the essential unity of body and soul, and the third revolves around the suggestion that living multiple lives may more easily lead to damnation than to salvation.     

Measurement foundations for multiattribute psychophysical theories based on first order polynomials

The class of first order polynomial measurement representations is defined, and a method for proving the existence of such representations is described. The method is used to prove the existence of first order polynomial generalizations of expected utility theory, difference measurement, and additive conjoint measurement. It is then argued that first order polynomial representations provide a deep and far reaching characterization of psychological invariance for subjective magnitudes of multiattributed stimuli. To substantiate this point, two applications of first order polynomial representation theory to the foundations of psychophysics are described. First, Relation theory, a theory of subjective magnitude proposed by Shepard (Journal of Mathematical Psychology, 1981, 24, 21–57) and Krantz (Journal of Mathematical Psychology, 1972, 9, 168–199), is generalized to a theory of magnitude for multiattributed stimuli. The generalization is based on a postulate of context invariance for the constituent uniattribute magnitudes of a multiattribute magnitude. Second, the power law for subjective magnitude is generalized to a multiattribute version of the power law. Finally, it is argued that a common logical pattern underlies multiattribute generalizations of psychological theories to first order polynomial representations. This abstract pattern suggests a strategy for theory construction in multiattribute psychophysics.     

The many-property problem is your problem,too

Philosophical Studies - The many-property problem has traditionally been taken to show that the adverbial theory of perception is untenable. This paper first shows that several widely accepted...     

Extensive measurement with incomparability

Standard theories of extensive measurement assume that the objects to be measured form a complete order with respect to the relevant property. In this paper, representation and uniqueness theorems are presented for a theory that departs radically from this completeness assumption. It is first shown that any quasi-order on a countable set can be represented by vectors of real numbers. If such an order is supplemented by a concatenation operator, yielding a relational structure that satisfies a set of axioms similar to the standard axioms for an extensive structure, we obtain a scale possessing the crucial properties of a ratio scale. Incomparability is thus compatible with extensive measurement. The paper ends with a brief discussion on some possible applications and developments of this result.     

RELIABILITY IS NOT VALIDITY AND VALIDITY IS NOT RELIABILITY

Interrater correlations do provide an index of reliability of job performance ratings. We show that the arguments presented by Murphy and DeShon (2000) lead to the radical conclusion that traditional measurement models–both classical theory and generalizability theory models–can be used neither with job performance ratings nor with other measures used in I-O and other areas of psychology and the social sciences. We show that this untenable conclusion is based on confusion of validity issues and questions with reliability issues and questions. It is also based on the incorrect belief that classical measurement models are capable of addressing only random response measurement error and cannot address other forms of measurement error. We also show that the solution Murphy and DeShon offer to the problem of measurement error in ratings, as they define this problem, cannot work. Properly understood, the position taken by Murphy and DeShon leaves us with the nihilistic conclusion that no appropriate measurement models are possible in psychological research, thus making meaningful research impossible.     

Minimax d-optimal designs for item response theory models

Various different item response theory (IRT) models can be used in educational and psychological measurement to analyze test data. One of the major drawbacks of these models is that efficient parameter estimation can only be achieved with very large data sets. Therefore, it is often worthwhile to search for designs of the test data that in some way will optimize the parameter estimates. The results from the statistical theory on optimal design can be applied for efficient estimation of the parameters.A major problem in finding an optimal design for IRT models is that the designs are only optimal for a given set of parameters, that is, they are locally optimal. Locally optimal designs can be constructed with a sequential design procedure. In this paper minimax designs are proposed for IRT models to overcome the problem of local optimality. Minimax designs are compared to sequentially constructed designs for the two parameter logistic model and the results show that minimax design can be nearly as efficient as sequentially constructed designs.     

Counterfactual analysis: Can the metalinguistic theory be revitalized?

This paper evaluates the recent trend to renounce the similarity approach to counterfactuals in favor of the older metalinguistic theory. I try to show, first, that the metalinguistic theory cannot work in anything like its present form (the form described by many in the last decade who claim to be able to solve Goodman's old problem of cotenability). This is so, I argue, because the metalinguistic theory requires laws of nature of a sort that we (apparently) do not have: current physical theory cannot underwrite the metalinguistic theory. Second, I draw from the first point a motivation for the similarity approach, a motivation based on theoretical considerations apart from the standard ones of pretheoretical intuition.I would like to thank Arthur Fine, Dorothy Grover, Anil Gupta, Alan Nelson, Larry Sklar, and Paul Teller for helpful comments on earlier drafts of this paper.     

Outline of a general model of measurement

Measurement is a process aimed at acquiring and codifying information about properties of empirical entities. In this paper we provide an interpretation of such a process comparing it with what is nowadays considered the standard measurement theory, i.e., representational theory of measurement. It is maintained here that this theory has its own merits but it is incomplete and too abstract, its main weakness being the scant attention reserved to the empirical side of measurement, i.e., to measurement systems and to the ways in which the interactions of such systems with the entities under measurement provide a structure to an empirical domain. In particular it is claimed that (1) it is on the ground of the interaction with a measurement system that a partition can be induced on the domain of entities under measurement and that relations among such entities can be established, and that (2) it is the usage of measurement systems that guarantees a degree of objectivity and intersubjectivity to measurement results. As modeled in this paper, measurement systems link the abstract theory of measuring, as developed in representational terms, and the practice of measuring, as coded in standard documents such as the International Vocabulary of Metrology.