Probability Concepts Needed for Teaching a Repeated Sampling Approach to Inference

作者: Hollylynne S. Lee

DOI: 10.1007/978-3-319-72871-1_6

关键词:

摘要: This paper uses theoretical and empirical perspectives to articulate what learners should understand about a repeated sampling approach inference that emphasizes process of randomizing data, repeating through simulation, rejecting any model with observed data in the extreme distribution does not fit model. Key probability concepts, such as distributions, are identified discussed why how they can assist developing richer understandings capabilities inference.

参考文章(25)
Manfred Borovcnik, Modelling and Experiments – An Interactive Approach towards Probability and Statistics Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics. pp. 267- 281 ,(2014) , 10.1007/978-3-658-03104-6_20
Sibel Kazak, Cliff Konold, Reconnecting Data and Chance Technology Innovations in Statistics Education. ,vol. 2, ,(2008)
J. Todd Lee, Hollylynne S Lee, Reasoning about Probabilistic Phenomena: Lessons Learned and Applied in Software Design Technology Innovations in Statistics Education. ,vol. 3, ,(2009)
Kylie Topliff, Nathan L. Tintle, Jill VanderStoep, Todd Swanson, Vicki-Lynn Holmes, Retention of Statistical Concepts in a Preliminary Randomization-Based Introductory Statistics Curriculum Statistics Education Research Journal. ,vol. 11, pp. 21- 40 ,(2012)
Manfred Borovcnik, Ramesh Kapadia, A Historical and Philosophical Perspective on Probability Advances in Mathematics Education. pp. 7- 34 ,(2014) , 10.1007/978-94-007-7155-0_2
Brigitte Chaput, Jean-Claude Girard, Michel Henry, Frequentist Approach: Modelling and Simulation in Statistics and Probability Teaching Springer, Dordrecht. pp. 85- 95 ,(2011) , 10.1007/978-94-007-1131-0_12
Hollylynne Stohl Lee, James E. Tarr, Robin L. Angotti, Making Comparisons between Observed Data and Expected Outcomes: Students' Informal Hypothesis Testing with Probability Simulation Tools. Statistics Education Research Journal. ,vol. 9, pp. 68- 96 ,(2010)
George W Cobb, The Introductory Statistics Course: A Ptolemaic Curriculum? Technology Innovations in Statistics Education. ,vol. 1, ,(2007)