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4434Statistics in Schools
https://www.merlot.org/merlot/viewMaterial.htm?id=1230631
The U.S. Census Bureau Statistics in Schools program provides resourcs for teaching and learning with real life data. The site has standards-aligned classroom-ready activities for math and history.Wed, 14 Sep 2016 09:18:45 -0700Saylor Academy Open Textbooks
https://www.merlot.org/merlot/viewMaterial.htm?id=1227848
Saylor Academy, one of the leaders in Open Education, offers educators, students, and families 100+ free open textbooks published under various Creative Commons license agreements. Sat, 3 Sep 2016 13:08:25 -0700Introductory Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=1221239
In many introductory level courses today, teachers are challenged with the task of fitting in all of the core concepts of the course in a limited period of time. The Introductory Statistics teacher is no stranger to this challenge. To add to the difficulty, many textbooks contain an overabundance of material, which not only results in the need for further streamlining, but also in intimidated students. Shafer and Zhang wrote Introductory Statistics by using their vast teaching experience to present a complete look at introductory statistics topics while keeping in mind a realistic expectation with respect to course duration and students’ maturity level.Over time the core content of this course has developed into a well-defined body of material that is substantial for a one-semester course. Shafer and Zhang believe that the students in this course are best served by a focus on that core material and not by an exposure to a plethora of peripheral topics. Therefore in writing Introduction to Statistics they have sought to present only the core concepts and use a wide-ranging set of exercises for each concept to drive comprehension. As a result Introduction to Statistics is a smaller and less intimidating textbook that trades some extended and unnecessary topics for a better-focused presentation of the central material.You will not only appreciate the depth and breadth of exercises in Introduction to Statistics, but you will also like the close attention to detail that Shafer and Zhang have paid to the student and instructor solutions manuals. This is one of few books on the market where the textbook authors have written the solutions manuals to maintain the integrity of the material.In addition, in order to facilitate the use of technology with the book the authors included “large data set exercises,” where appropriate, that refer to large data sets that are available on the web, and for which use of statistical software is necessary.Thu, 11 Aug 2016 18:39:29 -0700Applied Probability
https://www.merlot.org/merlot/viewMaterial.htm?id=1221176
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired.In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand-alone exposition as well as a supplement to any of several current textbooks.Most of the programs developed here were written in earlier versions of MATLAB, but have been revised slightly to make them quite compatible with MATLAB 7. In a few cases, alternate implementations are available in the Statistics Toolbox, but are implemented here directly from the basic MATLAB program, so that students need only that program (and the symbolic mathematics toolbox, if they desire its aid in evaluating integrals).Since machine methods require precise formulation of problems in appropriate mathematical form, it is necessary to provide some supplementary analytical material, principally the so-called minterm analysis. This material is not only important for computational purposes, but is also useful in displaying some of the structure of the relationships among events.Thu, 11 Aug 2016 14:56:56 -0700Think Stats: Probability and Statistics for Programmers
https://www.merlot.org/merlot/viewMaterial.htm?id=1215030
Think Stats is an introduction to Probability and Statistics for Python programmers.Think Stats emphasizes simple techniques you can use to explore real data sets and answer interesting questions. The book presents a case study using data from the National Institutes of Health. Readers are encouraged to work on a project with real datasets.If you have basic skills in Python, you can use them to learn concepts in probability and statistics. Think Stats is based on a Python library for probability distributions (PMFs and CDFs). Many of the exercises use short programs to run experiments and help readers develop understanding.Wed, 3 Aug 2016 14:57:16 -0700Using Statistical Analysis to Verify Conclusions
https://www.merlot.org/merlot/viewMaterial.htm?id=1212746
This lesson uses data from the Center for Disease Control to give students experience with the Chi-Square Statistic. Students will use spreadsheets to organize data, which they will then perform statistical analysis on. In the end they will determine whether there is an association between specified variables using the Chi-Square Statistic. Student materials are available for download here (second row, second column of table).Wed, 3 Aug 2016 13:59:56 -0700International Society for Bayesian Analysis (ISBA)
https://www.merlot.org/merlot/viewMaterial.htm?id=1212743
Promotes the development of Bayesian statistical theory and its application to problems in science, industry and government. News, history and minutes, archive of abstracts, information about the Reverend Thomas Bayes, and open positions in the field.Wed, 3 Aug 2016 13:59:54 -0700CAUSEweb: Consortium for the Advancement of Undergraduate Statistics Education
https://www.merlot.org/merlot/viewMaterial.htm?id=1212741
With a mandate from the American Statistical Association, the Consortium for the Advancement of Undergraduate Statistics Education (CAUSE) has a simple, yet daunting, mission: "to support and advance undergraduate statistics education." They do so through an ambitious mix of professional development initiatives, coupled with sustained outreach efforts and research. Most educators and students will want to start by visiting the "Resources" area, which is divided into sections that bring together datasets, analysis tools, lecture examples, and for a moment of inferential humor, a number of cartoons, jokes, and songs, all informed by the world of statistics. The "Teaching Methods" area is well worth a look, as it brings together 35 resources such as a set of tips of teaching statistics to large classes and how to discuss causality in introductory statistics courses.Wed, 3 Aug 2016 13:59:53 -0700Experimental Design and Statistical Analysis: Bt Corn, Lignin, and ANOVAs
https://www.merlot.org/merlot/viewMaterial.htm?id=1212739
The National Center for Case Study Teaching in Science (NCCST) at State University of New York-Buffalo has recently added this lesson plan to its extensive collection. The NCCST aims to encourage the use of case studies in science courses, as they hold "great promise as a pedagogical technique for teaching science, particularly to undergraduates, because it humanized science and well illustrates scientific methodology and values." This particular lesson plan guides students in analyzing the abstract, methods, and results of a research paper about the lignin content of genetically modified corn, published in the American Journal of Botany. It is intended for use in a senior-level plant ecology course or a graduate level biostatistics course. The full article used for this case study is not available to nonsubscribers, but the lesson plan functions without it.Wed, 3 Aug 2016 13:59:51 -0700Lectures on Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=1211338
'These notes are based on a course that I gave at UIUC in 1996 and again in 1997. No prior knowledge of statistics is assumed. A standard first course in probability is a prerequisite, but the first 8 lectures review results frombasic probability that are important in statistics. Some exposure to matrix algebra is needed to cope with the multivariate normal distribution in Lecture 21, and there is a linear algebra review in Lecture 19.'Mon, 1 Aug 2016 14:26:32 -0700