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  • Plot the theoretical p-value distribution and power curve for an independent t-test based on the effect size, sample size, and alpha.

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  • This applet demonstrates the concept of power. Users select the hypothesized mean, the alternative mean, the sample size, and the number of samples. The applet shows the hypothesized histogram and the alternative histogram. Users then select either the level of significance and set alpha or the rejection region and set the test statistic. The applet then shows the p-value (in red) and power (in green). User can also determine the direction of the test by clicking the inequality sign.

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  • (Uses JAVA)  Some basic statistical analysis tools that allow the user to input their own data or use the pre-existing data and perform the desired test (e.g ANOVA, Descriptive, t-test, chi-square, correlation and regression).

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  • This page provides a t-table with degrees of freedom 1-30, 60, 120, and infinity and seven levels of alpha from .1 to .0005.

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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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  • 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 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 game to aid in the active learning of significance testing including power and the limitations of p-values. Statistically Grounded is an on-line game that introduces multivariate issues in a simplified game environment. Students are asked to serve as a consultant for their friend, Joe. Joe is starting his own coffee company and students help him design a study to determine whether factors, such as location, time of day, price, type of music, or some combination of these influence sales. The on-line game allows students to design a study, sample data, and make suggestions on how Joe's business should be run. The game then simulates several months of business based on student's suggestions. The goal is to design a plan that will earn the most sales and make the largest amount of profits. The TigetSTAT labs handouts were created by Rod Sturdivant (Ohio State University) and John Jackson (West Point) as part of the Stat2Labs collection at Grinnell College
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  • A joke for use with discussions about the relationship between sample size and power or in discussing the large sample caution in significance testing.
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  • Most accidents in well-designed systems involve two or more events of low probability occurring in the worst possible combination. is a quote by American systems engineering expert Robert E. Machol (1917 - 1998). The quote is found in his 1975 column "Principles of Operations Research" for the journal "Interfaces" vol. 5, pages 53-54 (this column was titled "The Titanic Coincidence."
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