Significance Testing Principles

  • 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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  • A song to aid in the discussion of the meaning and interpretation of p-values and type I errors. The song's lyrics were written in 2017 by Lawrence Lesser from The University of Texas at El Paso and may be sung to the tune of the 1977 Bee Gees Grammy winning hit "Stayin' Alive."
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  • This is a complete lesson module (including example problems with answers to selected problems) for the purpose of enabling students to: 1) Provide examples demonstrating how the margin of error, effect size, and variability of the outcome affect sample size computations. 2) Compute the sample size required to estimate population parameters with precision. 3) Interpret statistical power in tests of hypothesis. 4) Compute the sample size required to ensure high power when hypothesis testing.
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  • When performing a hypothesis test about the population mean, a possible reason for the failure of rejection of the null hypothesis is that there's an insufficient sample size to achieve a powerful test. Using a small data set, Minitab is used to check for normality of the data, to perform a 1-Sample t test, and to compute Power and Sample Size for 1-Sample t.

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