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 Test¹

---

Classical Approach

---

Rejection Region & Conclusion²

---

Chi-squared Test using R

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

---

R Output

---

Teaching Moment

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

---

---

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. ↩