A 2 × 2 taxonomy of multilevel latent contextual models: accuracy-bias trade-offs in full and partial error correction models

In multilevel modeling, group-level variables (L2) for assessing contextual effects are frequently generated by aggregating variables from a lower level (L1). A major problem of contextual analyses in the social sciences is that there is no error-free measurement of constructs. In the present article, 2 types of error occurring in multilevel data when estimating contextual effects are distinguished: unreliability that is due to measurement error and unreliability that is due to sampling error. The fact that studies may or may not correct for these 2 types of error can be translated into a 2 × 2 taxonomy of multilevel latent contextual models comprising 4 approaches: an uncorrected approach, partial correction approaches correcting for either measurement or sampling error (but not both), and a full correction approach that adjusts for both sources of error. It is shown mathematically and with simulated data that the uncorrected and partial correction approaches can result in substantially biased estimates of contextual effects, depending on the number of L1 individuals per group, the number of groups, the intraclass correlation, the number of indicators, and the size of the factor loadings. However, the simulation study also shows that partial correction approaches can outperform full correction approaches when the data provide only limited information in terms of the L2 construct (i.e., small number of groups, low intraclass correlation). A real-data application from educational psychology is used to illustrate the different approaches.     

Distance and Similarity Measures in Generalised Quantum Theory

A summary of recent experimental results shows that entanglement can be generated more easily than before, and that there are improved chances for its persistence. An eminent finding of Generalised Quantum Theory is the insight that the notion of entanglement can be extended, such that, e.g., psychological or psychophysical problem areas can be included, too. First, a general condition for entanglement to occur is given by the term ‘common prearranged context’. A formalised treatment requires a quantitative definition of the similarity or dissimilarity between two complex structures which takes their internal structures into account. After some specific remarks on distance, metrics, and semi-metrics in mathematics, a procedure is described for setting up a similarity function with the required properties. This procedure is in analogy with the two-step character of measurement and with the well-known properties of perspective notions. A general methodology can be derived for handling perspective notions. Finally, these concepts supply heuristic clues towards a formalised treatment of the notions of ‘meaning’ and ‘interpretation’.     

The role of anticipation and intention in the learning of effects of self-performed actions

The anticipative learning model for acquiring action-effect relations states that the acquisition of action-effect relations depends on processes that are part of action planning, in particular the anticipation of possible effects. Experiment 1 shows that response planning is indeed crucial for the learning of response effects. In this experiment distractors (tones) were presented either during response preparation or in the time interval between response execution and the presentation of a response effect. Response-effect learning was impaired when the distractors were presented during response preparation. The finding is consistent with the assumption that the distractors impaired the anticipation of potential effects and therefore reduced effect learning. In Experiment 2 all responses had two effects. Participants were instructed to produce one of the effects. Under this condition, response-effect learning was only found for the instructed effect, not for the non-instructed effect. The two experiments thus support the view that response-effect learning is selective and depends on the anticipation of potential effects during response planning. The results are discussed in terms of a model that explains both the learning of response-effect relations and the use of these effects for action control within the same theoretical framework.     

Performance of an unpleasant task: Effects of over- vs under-payment on perception of adequacy of rewards and task attractiveness

Subjects who came to an experiment expecting to receive a moderate amount of money for performing a task were then told, either before or after performing it, that their pay would be higher than, equal to, or less than they had expected. When the actual payment was announced after the task was performed, subjects' evaluations of the task increased with the amount they were paid; however, they estimated a higher rate of pay to be appropriate if they received either more or less than they expected than if they received what they expected. When the actual payment was announced before the task was performed (and before subjects made their decision to perform it), a different pattern emerged. Subjects rated the task more attractive when they were offered either more or less than the expected amount, while their judgments of the appropriateness of the pay offered increased with the amount of the offer. Implications of the results for incentive and dissonance theories as well as self-perception and equity theories are discussed.     

The effect of negative feedback about oneself and cost of information on preferences for information about the source of this feedback

The present paper reports an experiment in which different amounts of negative self-discrepant information were induced and its effects on information seeking were tested. In addition, the monetary cost of the information available was manipulated. Subjects received fictitious intelligence test results that were negatively discrepant from their self-evaluation. They were then given the opportunity to choose among several articles containing information that either derogated intelligence tests (test-disparaging information) or argued for their validity (test-supporting information). The relative preference for test-disparaging over test-supporting information increased with feedback discrepancy up to a point, but then decreased as this discrepancy became more extreme. The relative preference in reading desirability for test-disparaging over test-supporting articles was also higher when the information cost money than when it did not. In addition, the difference between the desire for the two types of information was greater under cost than under no cost conditions, particularly at the extreme levels of feedback discrepancy.     

Philosophy and politics: On Fred Dallmayr's “Critical Encounters”

This is the slightly revised text of a paper given at the annual meetings of the Society for Phenomenology and the Human Sciences held at Duquesne University, Pittsburgh, Pennsylvania, 14 October 1989.