A lower bound to the probability of choosing the optimal passing score for a mastery test when there is an external criterion

Recently there has been interest in the problem of determining an optimal passing score for a mastery test when the purpose of the test is to predict success or failure on an external criterion. For the case of constant losses for the two error types, a method of determining an optimal passing score is readily derived using standard techniques. The purpose of this note is to describe a lower bound to the probability of identifying an optimal passing score based on a random sample ofN examinees.The work upon which this publication is based was performed pursuant to a grant [contract] with the National Institute of Education, Department of Health, Education and Welfare. Points of view or opinions stated do not necessarily represent official NIE position or policy.     

On the likelihood ratio test in structural equation modeling when parameters are subject to boundary constraints

The authors show how the use of inequality constraints on parameters in structural equation models may affect the distribution of the likelihood ratio test. Inequality constraints are implicitly used in the testing of commonly applied structural equation models, such as the common factor model, the autoregressive model, and the latent growth curve model, although this is not commonly acknowledged. Such constraints are the result of the null hypothesis in which the parameter value or values are placed on the boundary of the parameter space. For instance, this occurs in testing whether the variance of a growth parameter is significantly different from 0. It is shown that in these cases, the asymptotic distribution of the chi-square difference cannot be treated as that of a central chi-square-distributed random variable with degrees of freedom equal to the number of constraints. The correct distribution for testing 1 or a few parameters at a time is inferred for the 3 structural equation models mentioned above. Subsequently, the authors describe and illustrate the steps that one should take to obtain this distribution. An important message is that using the correct distribution may lead to appreciably greater statistical power.     

How to quantify support for and against the null hypothesis: A flexible WinBUGS implementation of a default Bayesian t test

We propose a sampling-based Bayesian t test that allows researchers to quantify the statistical evidence in favor of the null hypothesis. This Savage—Dickey (SD) t test is inspired by the Jeffreys—Zellner—Siow (JZS) t test recently proposed by Rouder, Speckman, Sun, Morey, and Iverson (2009). The SD test retains the key concepts of the JZS test but is applicable to a wider range of statistical problems. The SD test allows researchers to test order restrictions and applies to two-sample situations in which the different groups do not share the same variance.     

The Stroop color-word test: influence of age, sex, and education; and normative data for a large sample across the adult age range

The Stroop Color-Word Test was administered to 1,856 cognitively screened, healthy Dutch speaking participants aged 24 to 81 years. The effects of age, gender, and education on Stroop test performance were investigated to adequately stratify the normative data. The results showed that especially the speed-dependent Stroop scores (time to complete a subtest), rather than the accuracy measures (the errors made per Stroop sub-task), were profoundly affected by the demographic variables. In addition to the main effects of the demographic variables, an Age Low Level of Education interaction was found for the Error III and the Stroop Interference scores. This suggests that executive function, as measured by the Stroop test, declines with age and that the decline is more pronounced in people with a low level of education. This is consistent with the reserve hypothesis of brain aging (i.e., that education generates reserve capacity against the damaging effects of aging on brain functions). Normative Stroop data were established using both a regression-based and traditional approach, and the appropriateness of both methods for generating normative data is discussed.     

Objective measurement of pain in the wrist: analyses of basic factors for normative data and a case study

A plate-pushing task was used to measure endogenous pain in the wrist from different loci. Practical application in rehabilitation seems reasonable.     

Remarks on the method of paired comparisons: III. A test of significance for paired comparisons when equal standard deviations and equal correlations are assumed

A test of goodness of fit is developed for Thurstone's method of paired comparisons, Case V. The test involves the computation of , wheren is the number of observations per pair, and and are the angles obtained by applying the inverse sine transformation to the fitted and the observed proportions respectively. The number of degrees of freedom is (k–1) (k–2)/2.This research was performed in the Laboratory of Social Relations under a grant made available to Harvard University by the RAND Corporation under the Department of the Air Force, Project RAND.     

On the far reaching effects of using biased estimates of score reliability: an examination of the problem in 20 data analyses.

Violation of either of two basic assumptions in classical test theory may lead to biased estimates of reliability. Violation of the assumption of essential tau-equivalence may produce underestimates, and the presence of correlated errors among measurement units may result in overestimates. The ubiquity of circumstances in which this problem may occur is not fully comprehended by many workers. This article surveys a variety of settings in which biased reliability estimates may be found in an effort to increase awareness of the prevalence of the problem.     

Phonological priming in auditory word recognition: when both controlled and automatic processes are responsible for the effects.

The phonological priming paradigm provides an interesting methodological tool for studying various components of the speech recognition process. However, concerns about response biases distorting the effects have been repeatedly voiced. This article reviews the main studies on priming and aims to distinguish effects under automatic processes from those under some level of strategic control. Both controlled and automatic processes appear to be responsible for the effects observed in phonological priming experiments. Nonetheless, with careful procedures, it is possible to separate them.     

Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: II: A search procedure to locate the greatest lower bound

Finding the greatest lower bound for the reliability of the total score on a test comprisingn non-homogenous items with dispersion matrix Σ _x is equivalent to maximizing the trace of a diagonal matrix Σ _E with elements θ _I , subject to Σ _E and Σ _T =Σ _x − Σ _E being non-negative definite. The casesn=2 andn=3 are solved explicity. A computer search in the space of the θ _i is developed for the general case. When Guttman's λ₄ (maximum split-half coefficient alpha) is not the g.l.b., the maximizing set of θ _i makes the rank of Σ _T less thann − 1. Numerical examples of various bounds are given. Present affiliation of the first author: St. Hild's College of Education, Durham City, England.     

Triadic coordination: an observational method for examining whether children are "caught in the middle" of interparental discord.

Triadic coordination refers to how a parent coordinates his or her contributions with the spouse's bids toward their child. This construct provides a basis for studying specifically triadic family interaction processes. In particular, it offers a new approach for examining whether children are "caught in the middle" of marital discord. We conducted an initial, small-scale study of mother-father-child interactions in a structured task in order to pursue the methodological goal of developing an observational procedure for measuring triadic coordination processes. The results suggest that the approach has considerable promise for making a contribution to future research on marital discord and child functioning. We found that processes of triadic coordination can be assessed reliably. Other findings included an interesting pattern of results, which merits further investigation in future studies, concerning relations between whether and how a parent disagreed with or opposed the spouse's bids toward their child, on the one hand, and other measures of family functioning and measures of child functioning, on the other hand.     

Visual perception of direction when voluntary saccades occur: II. Relation of visual direction of a fixation target extinguished before a saccade to a subsequent test flash presented before the saccade

Previously reported experiments demonstrated changes in the relation of visual direction to retinal locus for stimulation during voluntary saccades as compared to this relation before saccade initiation. The quantitative features of these results led to the prediction, confirmed in the present experiments, that there are shifts in visual direction for stimulation presented before the saccade itself. In the present report, monotonically increasing shifts were mapped with stimuli presented as early as 240 msec before the saccade up to the saccade itself. Such shifts cannot be accounted for readily by “inflowing” processes, and while “outflowing” processes seem to be implicated, their quantitative characteristics would need to be considerably different from those required by classical outflow theories.     

Locating attractiveness in the face space: Faces are more attractive when closer to <Emphasis Type="Italic">their</Emphasis> group prototype

Face attractiveness relates positively to the mathematical averageness of a face, but how close attractive faces of varying groups are to their own and to other-group prototypes in the face space remains unclear. In two studies, we modeled the locations of attractive and unattractive Caucasian, Asian, and African faces in participants’ face space using multidimensional scaling analysis. In all three sets of faces, facial attractiveness significantly increased with the absolute proximity of a face to its group prototype. In the case of Caucasian and African faces (Study 1), facial attractiveness also tended to increase with the absolute proximity of a face to the other-group prototype. However, this association was at best marginal, and it became clearly nonsignificant when distance to the own-group prototype was controlled for. Thus, the present research provides original evidence that average features of faces contribute to increasing their attractiveness, but only when these features are average to the group to which a face belongs. The present research also offers further support to face space models of people’s mental representations of faces.     

Who's afraid of the big bad wolf: a prospective paradigm to test Rachman's indirect pathways in children.

Rachman's theory [The conditioning theory of fear insition: a critical examination. Behav. Res. Ther. 15 (1977) 375-387] of fear acquisition suggests that fears and phobias can be acquired through three pathways: direct conditioning, vicarious learning and information/instruction. Although retrospective studies have provided some evidence for these pathways in the development of phobias during childhood [see King, Gullone, & Ollendick, Etiology of childhood phobias: current status of Rachman's three pathway's theory. Behav. Res. Ther. 36 (1998) 297-309 for a review], these studies have relied on long-term past memories of adult phobics or their parents. The current study was aimed towards developing a paradigm in which the plausibility of Rachman's indirect pathways could be investigated prospectively. In Experiment 1, children aged between 7 and 9 were presented with two types of information about novel stimuli (two monsters): video information and verbal information in the form of a story. Fear-related beliefs about the monsters changed significantly as a result of verbal information but not video information. Having established an operational paradigm, Experiment 2 looked at whether the source of verbal information had an effect on changes in fear-beliefs. Using the same paradigm, information about the monsters was provided by either a teacher, an adult stranger or a peer, or no information was given. Again, verbal information significantly changed fear-beliefs, but only when the information came from an adult. The role of information in the acquisition of fear and maintenance of avoidant behaviour is discussed with reference to modern conditioning theories of fear acquisition.     

Competing for a desired reward in the Stroop task: when attentional control is unconscious but effective versus conscious but ineffective.

Recent studies using Stroop's paradigm have shown that word recognition processes can be controlled when the local context of the task is manipulated. In the present study, factors related to the participants' broader context (i.e., presence vs. absence of a competitor and of a desired reward) were manipulated. The results (1) support the conclusion that control of semantic-level activation can be unconscious but effective versus conscious but ineffective, (2) suggest that unconscious control alone operates on line (i.e., when the participant is responding), and (3) clarify the impact of socio-contextual factors that have been confounded in past research. Taken together, these findings strengthen the view that word recognition processes are controllable and offer new reasons to pay constant attention to the social environment of cognition.     

If you go down to the woods today you are in for a big surprise: seeing the wood for the trees in online delivery of career guidance

Arguments about online delivery of career development are too frequently couched in polarising terms setting traditional face-to-face guidance practice against online systems. The focus has been on the alleged dehumanising impact of technology and the speed, economy and efficiency of online systems. The possible synergies delivered by the appropriate integration of online systems into career development need exploring. The potential of eguidance, elearning, social media and online information and assessment systems has been insufficiently explored. The user experience has been overlooked, despite evidence that user-interface issues and usability are critical factors in the effectiveness of online systems. The application of artificial intelligence remains largely under-researched in career development. The potential for online systems to assist individuals respond to their chaotic careers has yet to be adequately addressed.     

The altered rationale for the choice of a standard animal in experimental psychology: Henry H. Donaldson, Adolf Meyer, and "the" albino rat

The mid 20th-century dominance of albino rats in nonhuman experimental psychology research often presumed that the animal embodied fundamental psychological processes that could generalize to a wide range of vertebrates. The author describes the conceptual basis for the original choice of white rats by the 2 individuals most responsible for establishing rats as a prominent animal model in the life sciences at the turn of the century: Henry H. Donaldson and Adolf Meyer. The author stresses the comparative rationale that justified their choice and argues that they sought generality through attention to diversity and species differences. Their approach contrasts sharply with the later view of the rat as a generic animal model that could represent similarities shared by all vertebrates. It is suggested that the change resulted from an emphasis on standardization produced by the growing industrialization of the life sciences in America.