Confidence intervals are presented in various scientific fields and are used to justify claims,although in several studies it has been shown that various groups of people, for example researchers, teachers and students incorrectly interpret the confidence interval. To get an overview over articles which studies how confidence intervals are misinterpreted we have performed an explorative literature review. The search for articles to include was conducted in a semi-structured way, and the explorative literature review exist of 36 articles. The results are presented in tables, where the articles have been placed in the table of the relevant misinterpretation. In this study there are five different tables which are probability fallacies, precision fallacies, likelihood fallacies, overlaps fallacies and miscellaneous fallacies. This paper state that confidence intervals are commonly misinterpreted accordingly to our first four categories. In the last category, the less common misinterpretations are presented, at least less common based on the articles included in this paper.

This study examines the claim that individuals misinterpret the mean of a dataset (displayed as a scatterplot) more when the convex hull of the dataset is less representative of the data. In addition, this study also tests whether outliers in the data can predict the magnitude of error that individuals make in interpreting the mean of the dataset. Lastly, the study investigates whether individuals’ interpretations are predicted better by the mean of the convex hull than by the full dataset’s mean. The method used to conduct these investigations is through a survey, followed by several linear regression analyses. Applications of this study include improving the communication of data in economic policy and business contexts, along with broader applications in extending models that heavily rely on agents’ interpretations of information: especially bounded rationality and social norm-based models. The results show that convex hull unrepresentativeness correlates positively with error in mean interpretation; however, that the convex hull mean is not predictive of the interpretations’ direction. Overall, the study contributes to the field of visual information interpretation by investigating the effect of data structure on its interpretation – an unexplored area of research. This is done while initiating the concretization of bounded rationality in economics, by exploring the idea that individuals perceive a general shape of the information presented to them rather than a detailed, full picture. This can lead to misinterpretations whenever the general shape (convex hull) is not representative of the dataset.

This study investigates language varieties, non-verbal behaviour and language attitudes as cultural barriers which inhibit successful communication between Blacks and Indians at Durban Institute of Technology. The investigation reveals that Indians and Blacks often misunderstand each other. Sometimes these groups feel misunderstood because they use different varieties of English. To compensate for these differences, participants use non-verbal strategies. However, non-verbal behaviour is culturally determined and people tend to transfer it to intercultural situations. One finds that this transfer leads to miscommunication and negative stereotypes. Furthermore, non verbal behaviour which does not meet the politeness criteria leads to negative attitudes and strained relations amongst peers and supervisors. The study suggests these solutions: the introduction of intercultural awareness campaigns for all employees and Zulu conversational skills for all Indians. For the whole South African community, the spirit of ubuntu should be cultivated between all racial groups to foster mutual respect. / Sociolinguistics / M.A.

The study investigated errors made by Grade 9 learners when simplifying algebraic expressions. Eighty-two (82) Grade 9 learners from a rural secondary school in Limpopo Province, South Africa participated in the study. The sequential explanatory design method which uses both quantitative and qualitative approaches was used to analyse errors in basic algebra. In the quantitative phase, a 20-item test was administered to the 82 participants. Learners’ common errors were identified and grouped according to error type. The qualitative phase involved interviews with selected participants. The interviews focused on each identified common error in order to establish the reasons why learners made the identified errors. The study identified six (6) common errors in relation to simplifying algebraic expressions. The causes of these errors were attributed to poor arithmetic background; interference from new learning; failure to deal with direction and operation signs; problems with algebraic notation and misapplication of rules. / Mathematics Education / M. Ed. (Mathematics Education)

This study investigates language varieties, non-verbal behaviour and language attitudes as cultural barriers which inhibit successful communication between Blacks and Indians at Durban Institute of Technology. The investigation reveals that Indians and Blacks often misunderstand each other. Sometimes these groups feel misunderstood because they use different varieties of English. To compensate for these differences, participants use non-verbal strategies. However, non-verbal behaviour is culturally determined and people tend to transfer it to intercultural situations. One finds that this transfer leads to miscommunication and negative stereotypes. Furthermore, non verbal behaviour which does not meet the politeness criteria leads to negative attitudes and strained relations amongst peers and supervisors. The study suggests these solutions: the introduction of intercultural awareness campaigns for all employees and Zulu conversational skills for all Indians. For the whole South African community, the spirit of ubuntu should be cultivated between all racial groups to foster mutual respect. / Sociolinguistics / M.A.