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MANE 6313

Week 3, Module E

Student Learning Outcome

Analyze simple comparative experiments and experiments with a single factor.

Module Learning Outcome

Analyze a one-sample chi-squared test.

Example: One-Sample Chi-squared Test[^1]

Chi-squared problem

Classical Approach

R Descriptive Statistics

Rejection Region & Conclusion[^2]

Table of Chi-squared quantiles

Chi-squared Test using R

  • Requires the installation of EnvStatistics package
  • Uses varTest() function not to be confused with var.test() function

varTest Documentation

R Output

varTest Output

Teaching Moment

  • Why the difference in results between classical approach (by hand) and varTest results
  • Numbers matter!

R Statistics output

[^1]: Ostle, Turner, Hicks and McElrath (1996). Engineering Statistics: The Industrial Experience. Duxbury Press.

[^2]: Montgomery and Runger (2014). Applied Statistics and Probability for Engineers, 6th edition. John Wiley & Sons.