Correlation

  • This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: Pearson's residuals and rules for partitioning an I x J contingency tables as ways to determine association between variables.

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  • A song for use in helping students to interpret positive, negative, and zero correlation and transfer knowledge about associations to new context/situations.  Lyrics by Lawrence M. Lesser and may be sung to the tune of “Twinkle, Twinkle, Little Star.” 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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  • A song for use in helping students to recognize and construct examples to illustrate how correlation does not imply causation.  Music & Lyrics © 2016 by Monty Harper.  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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  • A song for use in helping students to recognize and construct examples to illustrate how correlation does not imply causation.  Music & Lyrics © 2016 by Monty Harper.  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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  • CODAP provides an easy-to-use web-based data analysis platform, geared toward middle and high school students, and aimed at teachers and curriculum developers. CODAP can be incorporated across the curriculum to help students summarize, visualize and interpret data, advancing their skills to use data as evidence to support a claim.

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  • A song to be used in discussing the notation for correlation with an accompanying video that includes information about interpreting the correlation. 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 accompanying video may be found at
    https://www.youtube.com/watch?v=I1DenVRr3Ds The song may be sung to the tune of “Play that Funky Music,” the 1976 hit written by Rob Parissi and performed by the band Wild Cherry.

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  • A song to be used in discussing how the correlation coefficient is invariant to linear transformations (or just reverses sign when values are multiplied by a negative number). 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 1980 song “Hit Me With Your Best Shot,” written by Eddie Schwartz and popularized by Pat Benatar. Also, an accompanying video may be found at https://www.youtube.com/watch?v=t-LtFLuA5VY

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  • A song that may be used in discussing the correlation coefficient and the interpretation of positive versus negative values and their magnitude. 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 Carl Perkin’s 1955 rock and roll song Blue Suede Shoes. Also, an accompanying video may be found at
    https://www.youtube.com/watch?v=RipAdV5jt0g

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  • A song that may be used in discussing the meaning and interpretation of R^2; the coefficient of determination.  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 Christmas song Frosty the Snowman written by Walter Rollins and Steve Nelson and popularized by Gene Autry’s 1950 recording. Also, an accompanying video may be found at https://www.youtube.com/watch?v=0gdxJ0HhELg

     

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  • A song to be used in discussions about the meaning of the correlation coefficient (r) and r^2. The lyrics were written by Mary McLellan from Aledo High School in Aledo Texas and are a parody of the 1989 hip hop song "Ice Ice Baby" by Vanilla Ice. The song won an honorable mention in the 2017 A-mu-sing contest.
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