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Title: Math/Statistics/Education - Intro Stat: EPR Approach This site contains information about the Entity-Property-Relationship (EPR) approach to the introductory statistics course by Donald Macnaughton.
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Introductory Statistics: EPR Approach Abstract Graphic Image Dear Colleague,I would like to show you an effective new approach to teaching theintroductory statistics course. I have written three papers about the approach,the abstracts of which follow:The Introductory Statistics Course:The Entity-Property-Relationship ApproachAbstract: This paper proposes six concepts for discussion at thebeginning of an introductory statistics course for students who are notmajoring in statistics or mathematics. The concepts are (1) entities, (2)properties of entities, (3) variables, (4) a major goal of empirical research:to predict and control the values of variables, (5) relationships betweenvariables as a key to prediction and control, and (6) statistical techniquesfor studying relationships between variables as a means to accurate predictionand control. After students have learned the six concepts they learn standardstatistical topics in terms of the concepts. It is recommended that eachconcept be taught in a bottom-up fashion with emphasis on concrete practicalexamples. It is suggested that the approach gives students a lastingappreciation of the vital role of the field of statistics in empiricalresearch. This paper contains 31,000 words and 190 references and is available overthe Internet in four formats:Latest version inPDF (336 kilobytes. For information about the free Adobe PDF reader, clickhere.Click here if you have aproblem viewing the PDF document.)Latest version inHTML (270 kilobytes)Earlier 14,000-wordversion in HTML (99/2/2, 150 kilobytes)Same 14,000-word versionin PDF (169 kilobytes. Clickhere if you have a problemviewing the PDF document.The Entity-Property-Relationship Approachto Statistics:An Introduction for StudentsAbstract: This paper introduces the"entity-property-relationship" approach to science and statistics ata level suitable for students in an introductory statistics course. This paper contains 21,000 words (including 24 exercises) and isavailable over theInternet in Adobe Portable Document Format. (306 kilobytes. For informationabout the free Adobe PDF reader, clickhere.Click here if you have aproblem viewing the PDF document.Eight Features of an Ideal IntroductoryStatistics CourseAbstract: This paper discusses the following features of the author'sideal introductory statistics course: (1) a clear statement of the goals of thecourse, (2) a careful discussion of the fundamental concept of 'variable', (3)a unification of statistical methods under the concept of a relationshipbetween variables, (4) a characterization of hypothesis testing that isconsistent with standard empirical research, (5) the use of practical examples,(6) the right mix of pedagogical techniques: lectures, readings, discussions,exercises, activities, group work, multimedia, (7) a proper choice ofcomputational technology, and (8) a de-emphasis of less important topics suchas univariate distributions, probability theory, and the mathematical theory ofstatistics. The appendices contain (a) recommendations for research to testdifferent approaches to the introductory course and (b) discussion ofthought-provoking criticisms of the recommended approach.This paper contains 18,000 words and isavailable over theInternet in Adobe Portable Document Format (158 kilobytes. For informationabout the free Adobe PDF reader, clickhere.Click here if you have aproblem viewing the PDF document.) I welcome your comments about the ideas, either in the e-mail list EdStat-L(= the sci.stat.edu Usenet newsgroup) or viae-mail.Thank you for your interest.Don Macnaughton <donmac@matstat.com > ArticlesIf you would like to receive notification of new articles in this serieswhen they are first posted, please send a message todonmac@matstat.com with the single word"subscribe" in the body of the message. The following articles were posted to (or announced in) EdStat-L andsci.stat.edu on the indicated dates. The latest articles are at the end.Goals of Your IntroductoryStatistics Course (June 11, 1996, revised February 25, 1997)How Should WeMotivate Students in Intro Stat? (December 1, 1996) response to comments bySamuel M. Scheiner (February 24, 1997) re tailoring the introductorystatistics course to suit the field of empirical research in which the studentsare enrolled; a schema for interpreting most empirical research projectsresponse to comments byJohn R. Vokey (April 6, 1997, slightly revised on June 1, 1997) re whetherthere is a set of unifying concepts that link together all empirical(scientific) research and statisticsresponse to more commentsby Samuel M. Scheiner (May 7, 1997) re whether it is possible or worthwhileto convey the concepts of entities, properties, and relationships to students;teaching guidelines response to comments byRex Boggs (December 16, 1996) re an approach to the introductory coursecentered around "solving problems"response to comments byDennis Roberts (December 16, 1996) re whether "accuratepredictions" is a "myth"response to more commentsby Dennis Roberts (December 18, 1996) re the meaning of the word"accurate"response to comments byJoe Ward (December 18, 1996) re common interest in predictionEPR Approach to IntroStat: Entities, Properties, and Variables (June 25, 1996, revised February25, 1997) copies of articles byRobert Frick, Herman Rubin, and Bill Oliver that were spin-offs of theabove articleresponse to comments byRobert Frick (July 28, 1996, now slightly revised) re definition of"variable", a possible counterexample to the EPR definition of"variable", is the EPR definition different from mathematicaldefinitions?EPR Approach to IntroStat: Relationships Between Variables (July 14, 1996) response to comments byBrian Griffin (July 18, 1996) re the relative societal importance ofprediction and explanationresponse to comments byGeorge Zeliger (July 30, 1996) re the relative societal importance ofprediction and explanationresponse to comments byRonan M Conroy (July 18, 1996) re the equivalence of the operations ofprediction and estimationresponse to comments byWill G Hopkins (July 18, 1996) re terminology, examples, definition of"variable", role of statisticsRe: Top 5 Notions(August 25, 1996) re Dennis Roberts' August 16 request for the top five notionsfor the introductory course; comments about five notions suggested by DavidMoore on August 18EPR Approach andScientific "Explanation" (response to comments by Robert Frick)(July 23, 1997) The use of the word "law" in science. What is ascientific theory? Is the scientific explanation of some phenomenon anythingmore than identification and exercise of the associated entities, properties,and relationships? A classification of the "laws" of science. EPR Approach to IntroStat: Novelty, Practicality (May 30, 1996, revised February 25, 1997)The IntroductoryStatistics Course: A New Approach (May 16, 1996)Review of ActivStats2.0 (April 24, 1998)Computers vs. Calculatorsin Intro Stat (June 10, 1998) [NOTE: A later version of this articleappears as section 8 in the paper "Eight Features of an Ideal IntroductoryStatistics Course" available above.]Computers vs. Calculatorsin Intro Stat: Follow-up re AP Statistics (June 17, 1998)On July 17, 1998 I posted the abstract of the "Eight Features"paper (available above) to sci.stat.edu and EdStat-L. Following are myresponses to comments about the abstract and paper: response to comments byDennis Roberts (July 23, 1998) re teaching univariate distributions at thebeginning of the introductory course; are univariate distributions boring? whenunivariate distributions are necessaryresponse to comments byMark Myatt (July 30, 1998) re teaching univariate distributions at thebeginning of the introductory course; the role of univariate distributions inexploratory data analysisresponse to comments byRolf Dalin (July 31, 1998) re omitting teaching univariate distributions atthe beginning of the introductory course; other goals and features of theintroductory courseresponse to comments byGary Smith (November 23, 1998) re three interesting examples of univariatedistributions (election predictions, average body temperature, and the speed oflight); how these examples fit into the rubric of relationships betweenvariables; why questions about univariate distributions are less important inan introductory statistics course; APPENDICES: are relationships"between" or "among" variables? physical constants versusentities, properties, and relationships; the role of constants (physical andotherwise) in empirical research; ways of viewing empirical research projects response to comments byRossi Hassad (November 25, 1998) re whether there is a necessary logicalprogression from univariate distributions to relationships between variables;whether the constructivist view of learning implies that we must first discussunivariate distributions; the relationship between relationships betweenvariables and univariate distributions; the simplicity of the issuesresponse to more commentsby Dennis Roberts (May 2, 1999) re the breadth of application ofstatistical ideas; whether almost all empirical research projects can beusefully characterized as studying relationships between variables; somestatistical methods that can not be easily characterized as studyingrelationships between variables; evidence that univariate distributionsalienate students; why some students find statistics to be boring; how to makethe introductory statistics course fascinatingresponse to comments byKarl L. Wuensch (May 9, 1999) re two examples of univariate distributionsthat may be of interest at the beginning of the introductory course; the notionof "payoff" as a key to why relationships between variables are moreinteresting than univariate distributions; why teachers continue to discussunivariate distributions; a situation in which univariate distributionsare of interestresponse to comments byHerman Rubin (May 16, 1999) re the importance of univariate distributionsin actual problems; what is needed to discuss relationships between variables?can a relationship exist between random variables? a definition of arelationship between variables; APPENDICES: should it be"relationship" or "relation" between variables? testing fora relationship between variables in Francis Galton's height dataresponse to comments byJan de Leeuw (October 31, 1999) re the usefulness of the concept of'external world'; a comparison of two definitions of the role of statistics;confusion about hypothesis testing; alternate formulations of the distinctionbetween univariate distributions and relationships between variables; theimportance of univariate summaries; a survey of the types of statisticalstatements in a newspaper; statistics as a service activity; the distinctionbetween the descriptive and action-prescriptive aspects of statisticsresponse to comments byBob Hayden (July 23, 2000) a comparison of four popular types of plots toshow the relationship between a continuous response variable and a discretepredictor variable; the order of teaching (a) the concept of'relationship between variables' and (b) data plots in an introductorystatistics course; teaching students the underlying conceptualprinciples of statistics versus teaching them the underlyingmathematical principles; a practical first detailed example of arelationship between variables in an introductory statistics course; a systemfor collecting student course-work-time data; the visual t-test The logistics oftracking student course-timeStudent week-at-a-glancetime-tracking form (in Adobe Portable Document format)Student instructions forthe above formExcel workbook forstudents to automatically plot course-time dataresponse to comments byRonan Conroy (February 6, 2001) the substantial contributions ofAndré-Marie Ampère; Ampère's elucidation of the scientificmethod; a very brief history of the use of the concept of 'relationship betweenvariables'; a possible model of animal learning in terms of relationshipsbetween variables; the role of relationships between variables in an approachto machine learning; the concepts of 'population' and 'sample' in empiricalresearch in the physical sciences; why statistical methods are used less oftenin the physical sciences; how statistical methods might have helped in the coldfusion controversy; the undefined nature of the concepts of 'entity' and'property'; the concept of a "measure" of the value of a property;the concept of the "true" value of a property; formality andinformality in the progress of science; comments on undefined concepts inphysicsDefinition of"Relationship Between Variables" (response to comments by Jan deLeeuw, Herman Rubin, and Robert Frick; January 28, 2002) evaluation of sevengeneral definitions of the concept of 'relationship between variables'; arecommended definition of "relationship between variables" forstudents who are not majoring in statistics or mathematics; must we forcestudents and clients to clamber from their own "space" into ourstatistics "space"? must we discuss univariate distributions orunderlying mathematics at the beginning of an introductory statistics coursefor students who are not majoring in statistics or mathematics?TheMost Exciting Talk at the 2003 Joint Statistical Meetings (August 22, 2003)comments about Candace Schau's SATS (Survey of Attitudes Toward Statistics);the promise of experimental research in statistics educationThe Most Exciting Talk at the 2005 Joint Statistical Meetings (August 25, 2005) comments about Mack Shelley's talk "Education Research Meets the Gold Standard: Statistics, Education, And Research Methods after 'No Child Left Behind'" about experimental research in educationNew Response to Comments from Mike Palij (February 11, 2007) Some basic ideas of science. Novelty of experiments in education. Problematic nature of experiments in education. Necessity of experiments in education. Changing attitudes toward experiments in education. Opportunities for experiments in education. Appendices: A. Eight problems in experiments in education. B. Courses about experiments for education researchers. C. Can human performance or behavior be predicted from a person’s race? D. Specifying a repeated measurements analysis of variance.Return to top.Sums of Squares inUnbalanced ANOVA | MatStat
 

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Entity-Property-Relationship

(EPR)

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introductory

statistics

course

by

Donald

Macnaughton.

http://www.matstat.com/teach/

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