Significance Testing Principles

  • 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 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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  • A song to aid in discussing the interpretation of statistical significance as being unlikely to happen by chances computed under the null. 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 “Star Spangled Banner.” Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=ZzOxWTp0xGE

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  • A song to be used in discussing the concept and interpretation of the power of a significance test. 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 1977 hit song “Hotel California,” by the Eagles. Also, an accompanying video may be found at
    https://igenapps.com/Apps/View/Index/933086

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  • A song to be used in discussing the idea that a low P-value indicates that the null hypothesis is a poor explanation of the data. 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 1952 song “Hound Dog,” written by Jerry Leiber and Mike Stoller and recorded by Willie Mae Thorton and later popularized by Elvis Presley. Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=Ia9HYMHgqzM

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  • A song that may be used in discussing the definition and interpretation of the P-Value 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 Van Morrison’s 1967 classic rock song BlBrown Eyed Girl. Also, an accompanying video may be found at https://www.youtube.com/watch?v=TmQvXhN7Exc statistical topic: Significance Testing Principles – P-value

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  • A song to be used in discussing the idea that the null hypothesis represents the model of no effect (with several common examples). The original music and lyrics were written in 2017 by Greg Crowther from Everett Community College. The song won an honorable mention in the 2017 A-mu-sing contest. In the current 2018 version the music is by Greg Crowther and the revised lyrics and vocals are by Greg Crowther and Larry Lesser from University of Texas at El Paso.

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