Statistical Inference & Techniques

  • A song for use in helping students to apply relationships among alpha, p-value, and the decision of a hypothesis test.  Music & Lyrics © 2015 by Lawrence M. Lesser from The University of Texas at El Paso.  This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

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  • Statistics and probability concepts are included in K–12 curriculum standards—particularly the Common Core State Standards—and on state and national exams. STEW provides free peer-reviewed teaching materials in a standard format for K–12 math and science teachers who teach statistics concepts in their classrooms.

    STEW lesson plans identify both the statistical concepts being developed and the age range appropriate for their use. The statistical concepts follow the recommendations of the Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K-12 Curriculum Framework, Common Core State Standards for Mathematics, and NCTM Principles and Standards for School Mathematics. The lessons are organized around the statistical problemsolving process in the GAISE guidelines: formulate a statistical question, design and implement a plan to collect data, analyze the data by measures and graphs, and interpret the data in the context of the original question. Teachers can navigate the STEW lessons by grade level and statistical topic.

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  • The Journal of Statistics Education provides a collection of Java applets and excel spreadsheets (and the articles associated with them) from as early as 1998 on this webpage.

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  • A joke to use in talking about how simulation might aid in learning statistical inference.  The joke was written in April 2018 by Dennis Pearl from Penn State University with editorial help from Larry Lesser from University of Texas at El Paso.

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  • This site is a description of the mathematics behind survival analysis. It starts with a definition of the survival function. Then it discusses estimating the survival function with the Kaplan-Meier curve.  Then it discusses comparing survival curves. Finally, there is a discussion of Cox Proportional Hazards regression analysis.

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  • This website is a summary of a randomized controlled trial of a metropolitan police department's body-worn camera program. It is useful in class to talk about the design of the experiment and also to talk about how they state their results. Their results are given as confidence intervals for differences.

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  • A song to help with discussion of the history of William Sealy Gosset's (a.k.a. Student) result about the t-distribution for modeling standardized means.  The lyrics were written by Lawrence Mark Lesser from The University of Texas at El Paso in 2017 and may be sung to the tune of Jack Norworth and Albert Von Tizle's 1908  standard "Take Me Out to the Ballgame."

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  • A song that can be used in discussing the standard deviation of p-hat and how to estimate it in making confidence intervals. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 1972 hit “I Can See Clearly Now,” by Johnny Nash. Also, an accompanying video may be found at https://www.youtube.com/watch?v=1a2e2O0o0lg

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  • A song that can be used in discussing the meaning and interpretation of Type II error in Significance Testing. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of “Barbara Ann,” written by Fred Fassert in 1961 and popularized by the Beach Boys in 1965. Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=NjLiNJLhHzc

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  • A song that can be used in discussing the meaning and interpretation of Type I error in Significance Testing. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of “We Will Rock You,” written by Brian May and recorded by Queen in 1977. Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=2qfYYWZ92BY

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