Random numbers demonstrate the frequency of type I errors: Three spreadsheets for class instruction

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Abstract

This paper describes three spreadsheet exercises demonstrating the nature and frequency of type I errors using random number generation. The exercises are designed specifically to address issues related to testing multiple relations using correlation (Demonstration I), t tests varying in sample size (Demonstration II) and multiple comparisons using analysis of variance (Demonstration III). These demonstrations highlight the purpose and application of hypothesis testing and teach students the dangers of data dredging and a posteriori hypothesis generation.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalJournal of Statistics Education
Volume18
Issue number2
DOIs
StatePublished - Jul 2010

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Education
  • Statistics, Probability and Uncertainty

Keywords

  • Correlation
  • Hypothesis testing
  • P-value
  • Power
  • Simulation

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