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Charles G. Minard – Teaching Statistics: An International Journal for Teachers, 2025
Controlling Type 1 error and encouraging reproducible research are important in clinical and translational research. These concepts are frequently discussed in lectures with mathematical language, analytic examples, and probability distributions that demonstrate the issues. However, first-time learners in biostatistics courses focusing on…
Descriptors: Statistics Education, Error Patterns, Probability, Demonstrations (Educational)
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David Voas; Laura Watt – Teaching Statistics: An International Journal for Teachers, 2025
Binary logistic regression is one of the most widely used statistical tools. The method uses odds, log odds, and odds ratios, which are difficult to understand and interpret. Understanding of logistic regression tends to fall down in one of three ways: (1) Many students and researchers come to believe that an odds ratio translates directly into…
Descriptors: Statistics, Statistics Education, Regression (Statistics), Misconceptions
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Lesser, Lawrence M.; Pearl, Dennis K. – Teaching Statistics: An International Journal for Teachers, 2022
Thinking probabilistically is an essential part of thinking statistically, and the probability learning objectives that this article focuses on are those that are important in the underpinning of statistics and statistical models. Like mathematical statistics, probability can be considered purely from a mathematical viewpoint, but the focus here…
Descriptors: Statistics Education, Mathematical Concepts, Thinking Skills, Probability
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Eisenhauer, Joseph G. – Teaching Statistics: An International Journal for Teachers, 2022
This paper uses actual data on horse racing to illustrate probabilities, odds, and expected values, and offers cautionary remarks about applying textbook formulas to gambling on real-world sporting events.
Descriptors: Statistics Education, Probability, Textbooks, Mathematical Formulas
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Fedrizzi, Giulia; Canal, Luisa; Micciolo, Rocco – Teaching Statistics: An International Journal for Teachers, 2022
Football, as one of the most popular sports, can provide exciting examples to motivate students learning statistics. In this paper, we analyzed the number of goals scored in the UEFA EURO 2020 final phase as well as the waiting times between goals, considering censored times. Such a dataset allows us to consider some aspects of count data taught…
Descriptors: Team Sports, Probability, Statistics Education, Student Motivation
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Sigal Levy; Yelena Stukalin; Nili Guttmann-Beck – Teaching Statistics: An International Journal for Teachers, 2024
Probability theory has extensive applications across various domains, such as statistics, computer science, and finance. In probability education, students are introduced to fundamental principles which may include mathematical topics such as combinatorics and symmetric sample spaces. Students pursuing degrees in computer science possess a robust…
Descriptors: Programming, Probability, Mathematics Skills, Computer Science Education
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Kosei Fukuda – Teaching Statistics: An International Journal for Teachers, 2024
In statistics classes, the central limit theorem has been demonstrated using simulation-based illustrations. Known population distributions such as a uniform or exponential distribution are often used to consider the behavior of the sample mean in simulated samples. Unlike such simulations, a number of real-data-based simulations are here…
Descriptors: Foreign Countries, Business, Business Administration Education, Sample Size
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Omar Abu-Ghalyoun; Adnan Al-Abed – Teaching Statistics: An International Journal for Teachers, 2024
This study investigates a range of non-normative ideas that pre-service teachers (PSTs) employ in reasoning about sampling variability. This issue was studied in the context of a content course on statistics and probability for pre-service middle grade teachers at a Midwestern American university. Analysis of seven PSTs' video and screen records…
Descriptors: Preservice Teachers, Middle School Teachers, Teacher Characteristics, Knowledge Level
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Renelle, Amy; Budgett, Stephanie; Jones, Rhys – Teaching Statistics: An International Journal for Teachers, 2021
Everyone, including teachers, is prone to randomness misconceptions. In this article, we investigate the perceptions of randomness held by New Zealand secondary school teachers. The responses to a question asked in an online, anonymous questionnaire sent to New Zealand teachers will be explored. One question asked participants to create a sequence…
Descriptors: Foreign Countries, Secondary School Teachers, Misconceptions, Problem Solving
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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
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Findley, Kelly; Whitacre, Ian; Atabas, Sebnem – Teaching Statistics: An International Journal for Teachers, 2021
Providing opportunities for students to express ideas in their own words is key to promoting authentic disciplinary engagement and robust conceptual understanding. In this article, we discuss our experiences and observations related to students' informal vocabulary in the context of a middle school probability unit. We noticed that students'…
Descriptors: Naming, Vocabulary Development, Informal Education, Probability
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Liu, Xiaofeng Steven – Teaching Statistics: An International Journal for Teachers, 2019
Pearson's product-moment correlation can be explained by means of the probability of concordant pairs of observations on two continuous variables (ie, the order of the observations from two randomly selected individuals is the same between the two variables). The probability of concordant pairs features relatively easy computation and offers an…
Descriptors: Probability, Correlation, Statistics, Observation
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Berg, Arthur – Teaching Statistics: An International Journal for Teachers, 2021
The topic of Bayesian updating is explored using standard and non-standard dice as an intuitive and motivating model. Details of calculating posterior probabilities for a discrete distribution are provided, offering a different view to P-values. This article also includes the stars and bars counting technique, a powerful method of counting that is…
Descriptors: Bayesian Statistics, Teaching Methods, Statistics Education, Intuition
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Johnson, Roger W. – Teaching Statistics: An International Journal for Teachers, 2019
The "Borel" board game consists of a series of experiments involving dice rolls, coin flips, or drawing colored balls from bags. Before each experiment is conducted, each player bets for or bets against a statement regarding the random outcome. We suggest that the collection of "Borel" experiments be used as a resource to…
Descriptors: Games, Teaching Methods, Statistics, Probability
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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
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