The interpretation of scholars' interpretations of confidence intervals: criticism, replication, and extension of Hoekstra et al. (2014)

Hoekstra et al. (Psychonomic Bulletin & Review, 2014, 21:1157–1164) surveyed the interpretation of confidence intervals (CIs) by first-year students, master students, and researchers with six items expressing misinterpretations of CIs. They asked respondents to answer all items, computed the number of items endorsed, and concluded that misinterpretation of CIs is robust across groups. Their design may have produced this outcome artifactually for reasons that we describe. This paper discusses first the two interpretations of CIs and, hence, why misinterpretation cannot be inferred from endorsement of some of the items. Next, a re-analysis of Hoekstra et al.’s data reveals some puzzling differences between first-year and master students that demand further investigation. For that purpose, we designed a replication study with an extended questionnaire including two additional items that express correct interpretations of CIs (to compare endorsement of correct vs. nominally incorrect interpretations) and we asked master students to indicate which items they would have omitted had they had the option (to distinguish deliberate from uninformed endorsement caused by the forced-response format). Results showed that incognizant first-year students endorsed correct and nominally incorrect items identically, revealing that the two item types are not differentially attractive superficially; in contrast, master students were distinctively more prone to endorsing correct items when their uninformed responses were removed, although they admitted to nescience more often that might have been expected. Implications for teaching practices are discussed.

Estudio, edición crítica y traducción del "Memoriale virtvtvm" de Alfonso de Cartagena

Alfonso de Cartagena (1385-1456), possibly the most representative figure of the courtly, political and cultural dimension built around Juan II, was the third son of the famous convert Pablo de Santa Maria, Burgos’ rabbi and, later on, bishop of that same town. He started his career as governor of Cartagena’s cathedral, afterwards he was named dean of Santiago and Segovia, canon of Burgos and, after his father’s death, bishop of Burgos. Alternatively, he played a vital role in Castile’s national and international politics, as an ambassador in Portugal’s court, at Basel’s council and before Poland’s and Germany’s kings. His work, written both in Latin and Romance, either as an historian, treatise writer, theologist or translator, is quite broad; his literary connections were strong either with Italian humanists or with those who were fond of the language arts from Spain. The first part of this Thesis seeks to provide a wide enough perspective of the author, for which we place the emphasis on the most distinctive aspects of his life. Therefore, we divided the introduction in three sections: a biographical overview, his work and, last, a study on the Memoriale uirtutum itself. Thus, regarding the first aspect, we focus on the course of his life (§1.1), where we can highlight his university education, which isn’t restricted to his training as a jurist, but we also observe that his mental vitality takes him to develop certain inquisitiveness for Moral Philosophy or Latin, which leads him to study Grammar and Rhetoric; this would allow the influence of studia humanitatis to emerge, although he never got to learn the Greek language, as we can deduce from the epistolary confrontation between him and Leonardo Bruni. We also focus on the significance of his Jewish past, upon the defence of the converts during the massacre experienced in the XVth century (§1.2), and on his presence at Basel’s council (§1.3). Despite the fact that his work as a diplomat begins during the missions in Portugal as an emissary of king Juan II, he will get recognition owing to his legation in Basel, not only among the European ecclesiastics, but also among the scholars from Italy; the importance of Basel’s council in Cartagena’s life goes beyond his official work there, either as defending the Castilian interests, or as an active member of the purely conciliar functions, since it also had a huge impact in his intellectual growth. During this time period, Cartagena establishes a friendship with Pizzolpaso, Bishop of Milan, writer, humanist, and friend of Leonardo Bruni. As a result of this type of relationship with men of such high cultural standard, he re-awakens the study of the Classical antiquity among his contemporaries, developing a huge interest in the Greco-Roman masterpieces, which will bring him closely to the highly-regarded Spanish humanists of the XVIth century...