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The sampling (probability) distribution for the sum of dice is presented graphically as a compelling demonstration of the Central Limit Theorem.  相似文献   

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Students often find the concepts of bias and consistency hard to understand intuitively. This article presnts means of demonstrating these concepts using a computer so that students, once they have seen them in action, can more readily grasp their meanings and imlications.  相似文献   

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Because the disciplines of mathematics and statistics are naturally intertwined, designing assessment questions that disentangle mathematical and statistical reasoning can be challenging. We explore the writing statistics assessment tasks that take into consideration potential mathematical reasoning they may inadvertently activate.  相似文献   

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This article outlines an experiment that leads one to discover and verify that S is a biased estimator of σ.  相似文献   

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How many sixth-formers have part-time paid employment, and does this affect their performance at A-level? This article describes how one teaching institution set up a project to collect and analyse data in an attempt to find answers to these questions.  相似文献   

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This article illustrates many of the problems of defining and obtaining a ‘representative’ sample in the context of a real‐life survey of train performance.  相似文献   

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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.  相似文献   

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This article shows how simulation can be used to teach sampling distributions to entry level statistics students.  相似文献   

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The unexpectedness of the birthday problem has long been used by teachers of statistics in discussing basic probability calculation. An activity is described that engages students in understanding probability and sampling using the popular Facebook social networking site.  相似文献   

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A smiple weighing experiment is used to illustrate classical, factorial, fractional replicate of a factorial, confounded factorial and latin square designs of experiments.  相似文献   

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Statistical inference relies heavily on the concept of sampling distributions. However, sampling distributions are difficult to teach. We present a series of short animations that are story‐based, with associated assessments. We hope that our contribution can be useful as a tool to teach sampling distributions in the introductory statistics classroom.  相似文献   

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This article presents an activity which simulates the linear regression model in order to verify the probabilistic behaviour of the resulting least‐squares statistics in practice.  相似文献   

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Simulation is used to show why the divisor in the sample variance is n, - 1. Choice of the divisor for the sample standard deviation is also discussed.  相似文献   

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A bag of 24 packets of a well‐known brand of crisps provides a handy visual (and edible) aid to looking at the syllabus of a basic course in statistics.  相似文献   

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In an informal study, two versions of a story involving probability are introduced to undergraduates. The findings reveal that students have troubles detecting equal probabilities in a sampling scheme without replacement in which no information on earlier draws is available.  相似文献   

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Students often find the fact that a sample statistic is a random variable very hard to grasp. Even more mysterious is why a sample mean should become ever more Normal as the sample size increases. This simulation tool is meant to illustrate the process, thereby giving students some intuitive grasp of the relationship between a parent population and the distribution of a sample mean.  相似文献   

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To study deception, participants were randomly assigned the role of allocator or recipient in an ultimatum negotiation game. Allocators “earned” 7 dollars and divided the money between themselves and recipient and communicated the decision either face-to-face or through text chat. Recipients were unaware the amount the allocator had, and therefore, allocators could deceive. Most allocators used deception. We hypothesized that participants who self-identified as good liars would communicate more face-to-face than through text chat when deceiving, and this was supported for deceptive omission but not fabrications. Good liars were more likely to have their truths correctly detected than bad liars.  相似文献   

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Graphical model validation techniques for linear normal models are often used to check the assumptions underlying a statistical model. We describe an approach to provide ‘instant experience’ in looking at a graphical model validation plot, so it becomes easier to validate if any of the underlying assumptions are violated.  相似文献   

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