Data are reviewed that suggest that there is no need to invoke a multiple-model theory of reasoning to explain the difficulty people encounter deriving valid conclusions to certain inference problems using doubly quantified sentences. Implications for theories of how people understand multiply quantified sentences are discussed. (SLD)

Presents a fully Bayesian analysis for the Probability Matrix Decomposition (PMD) model using the Gibbs sampler. Identifies the advantages of this approach and illustrates the approach by applying the PMD model to opinions of respondents from different countries concerning the possibility of contracting AIDS in a specific situation. (SLD)

The current experiment investigated the effect of differential training histories on responses to a 5-term linear chain of nonsense syllables (described here with sequential, alphabetical characters; A [is less than] B [is less than] C [is less than] D [is less than] E) across unreinforced probe trials. Participants' responses to nonarbitrary…

The assumptions underlying item response theory (IRT) models may be expressed as a set of equality and inequality constraints on the parameters of a latent class model. It is well known that the same assumptions imply that the parameters of the manifest distribution have to satisfy a more complicated set of inequality constraints which, however,…

Framing effects are said to occur when equivalent frames lead to different choices. However, the equivalence in question has been incompletely conceptualized. In a new normative analysis of framing effects, we complete the conceptualization by introducing the notion of information equivalence. Information equivalence obtains when no…

In this note, a coin tossing experiment which leads to three discrete distributions is discussed.

The commentaries include a wealth of insightful and interesting observations and suggestions, and I appreciate each author taking the time to comment on my efforts. In responding to their suggestions, I am inclined to develop a few general points raised in the commentaries a bit further.

When Tarzan asks Jane "Do you like my friends?" and Jane answers "Some of them," her underinformative reply implicates "Not all of them." This "scalar inference" arises when a less-than-maximally informative utterance implies the denial of a more informative proposition. Default Inference accounts (e.g.,…

D. Trafimow presented an analysis of null hypothesis significance testing (NHST) using Bayes's theorem. Among other points, he concluded that NHST is logically invalid, but that logically valid Bayesian analyses are often not possible. The latter conclusion reflects a fundamental misunderstanding of the nature of Bayesian inference. This view…

This paper comments on the response offered by Trafimow on Lee and Wagenmakers comments on Trafimow's original article. It seems our comment should have made it clear that the objective Bayesian approach we advocate views probabilities neither as relative frequencies nor as belief states, but as degrees of plausibility assigned to propositions in…

This paper comments on the articles by Cheng and by Novick and Cheng. It has been claimed that the power PC theory reconciles regularity and power theories of causal judgment by showing how contingency information is used for inferences about unobservable causal powers. Under the causal powers theory causal relations are understood as generative…

Children tend to infer that when a speaker uses a new label, the label refers to an unlabeled object rather than one they already know the label for. Does this inference reflect a default assumption that words are mutually exclusive? Or does it instead reflect the result of a pragmatic reasoning process about what the speaker intended? In two…

Students' interpretations of their academic writing tasks has been a central concern in the cognitive-based writing research due to the prominent role such decision-making plays in determining students' subsequent thinking and composing strategies and ultimately in shaping their textual quality. Without a comprehensive understanding of how L2…

Talk is the foundation for thought and understanding and the key to literacy learning. Research demonstrates that powerful metacognitive strategies can be taught to help students self-monitor their comprehension when reading print and digital texts. This article provides a repertoire of speaking and listening strategies to develop the…

Cross-national inequality trends have historically been a crucial field of inquiry across the social sciences, and new methodological techniques of statistical inference have recently improved the ability to analyze these trends over time. This paper applies Monte Carlo, bootstrap inference methods to the income surveys of the Luxembourg Income…