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Outline

Visualizing multivariate data: graphs that tell stories

2020

https://doi.org/10.52041/SRAP.20503

Abstract

Important statistical ideas can be introduced via visualizations without heavy mathematics, hence can become accessible to a broader citizenry. Along a few selected examples, from historical to modern, with technology-based data visualizations, we highlight the potential of data visualizations to enhance students' capacity to reason with complex data and discuss the role of visualization as a tool to strengthen civic participation in democracy. BACKGROUND Visual representations are a central means of conveying information, illuminating facts, supporting the user in recognizing patterns and gaining insights into difficult concepts (see, e.g., Chambers et al., 1983; Chance et al., 2007; Tishkovskaja & Lancaster, 2012). A Graph can provide a compelling approach to statistical thinking that focuses on important concepts rather than formal mathematics and procedures (Biehler, 1993; Nolan & Perrett, 2016). Graphical methods provide powerful diagnostic tools for confirming assumptions, or, when assumptions are not met for suggesting corrective actions. Therefore, creating meaningful data visualizations to communicate information is an important skill in its own right. It is an important mean of informing citizens about governance and presenting evidence about the state of the world in order to raise awareness for injustices and structural social inequalities or burning problems like global warming or demographic change.The simulation to illustrate the outbreak of COVID-19 and the effect of social distancing, published by the Washington Post, is another striking example (see https://www.washingtonpost.com/graphics/2020/world/corona-simulator/). While statistical graphics emerged with the earliest attempts to analyze data (Beniger & Robyn, 1978), and much has been written on best practices for data visualization (e.g., Tufte, 1992; Cleveland, 1994; Yau, 2011; Wainer, 1997), with the rise of data science and an increasingly datainfused society, the teaching and understanding of effective data visualizations has become even more crucial. Fortunately, technology today provides tools for data visualization (DV) that offer the potential to explore rich sources of information without requiring deep mathematical knowledge. With interactive data visualizations (IDV), conceptual understanding can go even one step further by using technology in diagrams to retrieve and interactively change more detailed information, e.g. what data is displayed and how it is displayed. Suitable visualizations can make a significant contribution to understanding complex relationships. Data on many "burning issues" (e.g., climate change, public health, migration, economic justice) are often communicated via rich, novel data visualizations. Vivid democracies need well-informed citizens who can understand important social issues, discuss them and contribute to public decision-making. Citizens need to be able to develop skills of effective data communication to be engaged in public decision processes (ProCivicStat Partners, 2018, Cukier, 2011). Rich data sets are accessible in abundance. There is a wealth of data collected on a large scale by governmental and non-governmental agencies that can inform about the state of the world. The ProCivicStat project (ProCivicStat 2018, see http://iase-web.org/islp/pcs/) developed an extended concept of statistical literacy called Civic Statistics, which focuses on the exploration and sense making from data about the social and economic well-being of humans and the realization of civil rights. Most data about society are influenced by a multiplicity of factors. Their exploration requires an understanding of multivariate phenomena. For example, to study the impact of factors inside and outside of school on educational success requires to assess the relative impact of social class, gender and ethnicity, and the links between them (Ridgway 2016). Traditional print media are increasingly using interactive and dynamic visualizations as part of data journalism, which are much broader and more sophisticated compared to the limited scope of graphs, histograms and tables used in introductory statistical units at schools and universities where statistical graphs are often limited to IASE

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