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Pearl, Dennis K.; Lesser, Lawrence M. – Teaching Statistics: An International Journal for Teachers, 2020
The use of cartoons, songs, and quotes can be a useful way to engage students in discussion and learning key concepts about quantifying the uncertainty in statistical estimates.
Descriptors: Cartoons, Singing, Statistics, Teaching Methods
Bukac, Josef; Sulc, Jakub – Teaching Statistics: An International Journal for Teachers, 2020
The question is whether or not we or any student are allowed to define a measure of variability in some other way that is not written in textbooks and officially approved. We compare the sum of squares of all deviations against the usual sum of squares of deviations from the mean.
Descriptors: Statistics, Teaching Methods, Textbooks, Comparative Analysis
Chalikias, Miltiadis; Kossieri, Evangelia; Lalou, Panagiota – Teaching Statistics: An International Journal for Teachers, 2020
The aim of this paper is to approach the teaching of the Poisson distribution in a friendly and amusing way. It constitutes a common practice to adopt the main probability distributions in order to predict results of sport events and to estimate the win return of betting activities (Chalikias 2009). In particular, by using the Poisson…
Descriptors: Decision Making, Team Sports, Probability, Statistics
Rose, Jennifer S.; Dierker, Lisa C. – Teaching Statistics: An International Journal for Teachers, 2020
We adapted a multidisciplinary, project-based curriculum to introduce high school students to statistical inquiry. We examined student background characteristics, learning experiences, and course outcomes for 30 students aged 12 to 14 entering ninth grade who were involved in a 1-week, accelerated version of a Passion-Driven Statistics curriculum.…
Descriptors: Statistics, Mathematics Curriculum, Curriculum Development, High School Students
Meyer, Joerg – Teaching Statistics: An International Journal for Teachers, 2020
Some situations are presented with perplexing properties, which become clearer by looking at contingency tables. This in turn leads to problems that can be solved using conditional frequencies and thus leading to the Bayes formula with natural frequencies or probabilities.
Descriptors: Bayesian Statistics, Teaching Methods, Probability, Mathematics Instruction
Maurer, Karsten; Hudiburgh, Lynette; Werwinski, Lisa – Teaching Statistics: An International Journal for Teachers, 2020
Learning the fundamentals of probability and random variables can be a struggle for many students. Games by their nature require active participation and reward mastery, lending naturally to the framework of active learning. In this study, we designed and evaluated the efficacy of a lab activity using a game where strategy hinges on sums of dice…
Descriptors: Word Problems (Mathematics), Games, Game Based Learning, Instructional Effectiveness
Bayesian Statistics in the Classroom: Introducing Shrinkage with Basketball Statistics and the Internet Movie Database
Berg, Arthur – Teaching Statistics: An International Journal for Teachers, 2020
This article promotes Bayesian intuition by introducing the concept of shrinkage with some motivational examples involving basketball statistics of Rudy Gobert and movie rankings from the Internet Movie Database. Supplementary and fully automated R code is provided to allow students to explore shrinkage in this dataset on their own. The content is…
Descriptors: Bayesian Statistics, Team Sports, Films, College Freshmen
Frischemeier, Daniel; Leavy, Aisling – Teaching Statistics: An International Journal for Teachers, 2020
Posing statistical questions is a fundamental and often overlooked component of statistical inquiry. In this paper, we provide an overview of shared understandings regarding what constitutes a good statistical question. We then describe three approaches--a checklist for improving statistical questions, a three-phase feedback activity, and a…
Descriptors: Statistics, Teaching Methods, Questioning Techniques, Check Lists
Liu, Xiaofeng Steven; Shin, Hyejo Hailey – Teaching Statistics: An International Journal for Teachers, 2020
Computer simulation can be used to demonstrate why the unbiased sample variance uses degrees of freedom (n-1). This is first demonstrated for sampling from a normal random variable, and in additional simulations for some selected non-normal random variables, namely, chi-square and binomial.
Descriptors: Computer Simulation, Statistics, Sampling, Statistical Bias
Tang, Marc – Teaching Statistics: An International Journal for Teachers, 2020
University students in other disciplines without prior knowledge in statistics and/or programming language are introduced to the statistical method of decision trees in the programming language R during a 45-minute teaching and practice session. Statistics and programming skills are now frequently required within a wide variety of research fields…
Descriptors: Statistics, Teaching Methods, Programming, Programming Languages
Autin, Melanie A.; Gerstenschlager, Natasha E. – Teaching Statistics: An International Journal for Teachers, 2019
The negative hypergeometric distribution is often not formally studied in secondary or collegiate statistics in contexts other than drawing cards without replacement. We present a different context with the potential of engaging students in simulating and exploring data.
Descriptors: Statistics, Teaching Methods, Simulation, Educational Games
White, Simon R.; Bonnett, Laura J. – Teaching Statistics: An International Journal for Teachers, 2019
The statistical concept of sampling is often given little direct attention, typically reduced to the mantra "take a random sample". This low resource and adaptable activity demonstrates sampling and explores issues that arise due to biased sampling.
Descriptors: Statistical Bias, Sampling, Statistical Analysis, Learning Activities
Meyer, Joerg – Teaching Statistics: An International Journal for Teachers, 2019
A formula is derived for a 'two-dice horse race', in which two ordinary dice are thrown repeatedly and each time the sum of the scores determines which horse (numbered 2 to 12) moves forward one space. This paper answers a question posed in a former "Teaching Statistics" article, and demonstrates the value of simulation.
Descriptors: Statistics, Probability, Mathematical Formulas, Educational Games
Miranda Freire, Sergio – Teaching Statistics: An International Journal for Teachers, 2019
The transition from the probability mass function for discrete random variables to the probability density function for continuous random variables is not straightforward, especially to students from the health and social sciences. An R Shiny application was created to assist the learning process of probability density function.
Descriptors: Probability, Educational Technology, Technology Uses in Education, Visualization
Lyford, Alexander; Rahr, Thomas; Chen, Tina; Kovach, Benjamin – Teaching Statistics: An International Journal for Teachers, 2019
There is much debate about the place of probability in an introductory statistics course. While students may or may not use probability distributions in their post-collegiate lives, they will likely be faced with day-to-day decisions that require a probabilistic assessment of risk and reward. This paper describes an innovative way to teach…
Descriptors: Probability, Teaching Methods, Statistics, Educational Games