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Abstract
An important problem in directional statistics is to test the null hypothesis of a common mean direction for several populations. The Analysis of Variance (ANOVA) test for vectorial data may be used to test the hypothesis of the equality of the mean directions for several von Mises-Fisher populations. As this test is valid only for large concentrations, we propose in this paper to apply the resampling techniques of bootstrap and permutation to the ANOVA test. We carried out an extensive simulation study in order to evaluate the performance of the ANOVA test with the resampling techniques, for several sphere dimensions and different sample sizes and we compare with the usual ANOVA test for data from von Mises-Fisher populations. The purpose of this simulation study is also to investigate whether the proposed tests are preferable to the ANOVA test, for low concentrations and small samples. Finally, we present an example with spherical data.

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Storytelling is a powerful marketing tool that can be used to attract the audience's attention and influence behavior. However, this investigation seeks to understand more deeply the importance of written narratives in the marketing field. In this sense, the objective of this article is to explore similarities and identify patterns, phases or stages, variables, indicators, and respective relationships (models) to help marketers to create storytelling. In the analogy of the visual methodology analytical process, this literature review created a selection of the sample and developed content to structure storytelling within the marketing framework. Through the analysis of 78 papers published in the Web of Science main collection, this research finds out three clusters: marketing cluster, content cluster, and context cluster. Our results indicate that, in marketing, storytelling elicits brand identification, awareness, and customer engagement, as well as it helps with self-expression, a sense of belonging, and a perception of the value of the product or brand. We find some variables, indicators, and respective relationships (models) that can be used in storytelling in the marketing field to improve value awareness. This review also allowed us to identify factors related to the structuring of marketing storytelling. And we found three key elements of the story construct that are transversal: content, classification, and character. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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We implemented Discord as a pedagogical tool in the academic year of 2021/2022 in two mathematics curricular units of the first year of an Informatics Engineering university program. We analyze and discuss the experience, reflecting on usability and influence on learning processes and engagement. We compare the impact of using the platform: 1) when combined with different methodological and pedagogical approaches and 2) to previous years with other (or none) classic virtual forums.