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Meyer, Joerg M. – Teaching Statistics: An International Journal for Teachers, 2018

The contrary of stochastic independence splits up into two cases: pairs of events being favourable or being unfavourable. Examples show that both notions have quite unexpected properties, some of them being opposite to intuition. For example, transitivity does not hold. Stochastic dependence is also useful to explain cases of Simpson's paradox.

Descriptors: Intuition, Probability, Randomized Controlled Trials, Statistical Analysis

Wagaman, John; Fletcher, Michael – Teaching Statistics: An International Journal for Teachers, 2018

This article considers how a handicapping system should be devised for squash. It looks at the American scoring system, and whether it is possible to have a fair system of handicapping. We consider "fair" from a perspective of expected number of rallies won and probability of winning.

Descriptors: Probability, Athletes, Athletics, Inhibition

Williams, Immanuel James; Williams, Kelley Kim – Teaching Statistics: An International Journal for Teachers, 2018

Many students find understanding confidence intervals difficult, especially because of the amalgamation of concepts such as confidence levels, standard error, point estimates and sample sizes. An R Shiny application was created to assist the learning process of confidence intervals using graphics and data from the US National Basketball…

Descriptors: Learning Processes, Intervals, Computer Graphics, Confidence Testing

Paolino, Jon-Paul – Teaching Statistics: An International Journal for Teachers, 2018

This article presents a new method for introductory teaching of the sample mean, median and mode(s) from a univariate dataset. These basic statistical concepts are taught at various levels of education from elementary school curriculums to courses at the tertiary level. These descriptive measures of location can be taught as optimized solutions to…

Descriptors: Teaching Methods, Statistics, Introductory Courses, Concept Formation

Cashing, Doug – Teaching Statistics: An International Journal for Teachers, 2018

This article offers some less-than-rigorous explanations for the notion of degrees of freedom, and for the particular formulae to be used when computing those values.

Descriptors: Computation, Statistics, Statistical Analysis, Mathematical Formulas

Rosenthal, Jeffrey S. – Teaching Statistics: An International Journal for Teachers, 2018

This article advocates that introductory statistics be taught by basing all calculations on a single simple margin-of-error formula and deriving all of the standard introductory statistical concepts (confidence intervals, significance tests, comparisons of means and proportions, etc) from that one formula. It is argued that this approach will…

Descriptors: Statistics, Introductory Courses, Computation, Statistical Analysis

Hauben, Manfred – Teaching Statistics: An International Journal for Teachers, 2018

A visual aid for teaching the formula for the Mann-Whitney U statistic is proposed, inspired by 'proof without words', a didactic exercise from the mathematics literature that uses a visual approach to justify mathematical statements, including formulas and theorems.

Descriptors: Visual Aids, Teaching Methods, Statistical Analysis, Mathematical Formulas

Dinov, Ivo D.; Palanimalai, Selvam; Khare, Ashwini; Christou, Nicolas – Teaching Statistics: An International Journal for Teachers, 2018

Statistical inference involves drawing scientifically-based conclusions describing natural processes or observable phenomena from datasets with intrinsic random variation. We designed, implemented, and validated a new portable randomization-based statistical inference infrastructure (http://socr.umich.edu/HTML5/Resampling_Webapp) that blends…

Descriptors: Statistical Inference, Sampling, Simulation, Computer Oriented Programs

Byun, K. J.; Croucher, John S. – Teaching Statistics: An International Journal for Teachers, 2018

Class examples for a standard introductory statistics course usually involve a variety of applications. In this paper, we consider the teaching of statistics using forensic science and the law, an area that holds some fascination with many audiences.

Descriptors: Teaching Methods, Statistics, Crime, Laws

Montangero, Simone; Vittone, Francesca; Olderbak, Sally; Wilhelm, Oliver – Teaching Statistics: An International Journal for Teachers, 2018

We present a versatile scenario to introduce students to statistics: the test that spaghetti sticks only if sufficiently done. The statistical analyses can be performed at different levels of complexity and formal correctness, adapting it to the students' age.

Descriptors: Teaching Methods, Statistics, Statistical Analysis, Difficulty Level

Courtney, Matthew G. R.; Chang, Kevin C. – Teaching Statistics: An International Journal for Teachers, 2018

The article presents some notes on normalization and illustrates these procedures using graphing functions in R. Using real data, the paper also presents an R package and online Shiny app that efficiently transforms variables in large datasets.

Descriptors: Statistical Analysis, Graphs, Computer Oriented Programs

Martins, Rui Manuel da Costa – Teaching Statistics: An International Journal for Teachers, 2018

Using the famous Birthday problem, we present here a practical activity that allows students to perceive the basic reasoning behind simulation and explore its potential. Through a playful approach with probabilities, students are led along a path that illustrates difficulties with intuition and introduces them to theoretical results for sample…

Descriptors: Learning Activities, Probability, Intuition, Statistics

Caudle, Kyle A. – Teaching Statistics: An International Journal for Teachers, 2018

When playing card games, how many times should a deck be shuffled in order to achieve randomness? This article shows how card shuffling can be used as a classroom exercise to reinforce construction and interpretation of confidence intervals.

Descriptors: Games, Statistics, Intervals, Teaching Methods

Singh, Abhishek – Teaching Statistics: An International Journal for Teachers, 2018

Statistics can help us to make predictions. An interesting example regarding the football world cup explores the rankings to suggest the group(s) of death in the ensuing world cup.

Descriptors: Prediction, Statistics, Teaching Methods, Team Sports

Lesser, Lawrence M. – Teaching Statistics: An International Journal for Teachers, 2018

This literature-based, classroom-tested novel innovation of educational song (with pedagogical scaffolding) may help engage students explore and address common resistant misconceptions in probability (e.g. all outcomes are equally likely) and in statistics (e.g. correlation must imply either causation or coincidence).

Descriptors: Misconceptions, Singing, Statistics, Correlation