Table of Contents

• Prequiz...
• 1: Do those shoes fit?
• 2: Dilbert's 3 day work week
• 3: The day is saved . or not
• 4: The Brute Force method
• 5: Computer = brute force
• 6: What's your threshold for pain?
• 7: Sick-day sistribution
• 8: A brief recap of the Brute Force Method
• 9: The Brute Force method again
• 10: Using arithmetic instead of Brute Force
• 11: One small correction
• 12: How big is big?
• 13: Degrees of Freedom
• 14: The magic lookup table
• 15: The answer, finally
• 16: Summary of chi-square
• 17: Another example for chi-square
• 18: So, which method do you like better?
• 19: Applications
• 20: Example 1: Testing for a dihybrid ratio
• 21: Example 2: Habitat selection (ecology)
• 22: Review and Words of Wisdom

The Brute Force method again.

Evil Pointy-Haired Boss (who has nothing better to do than sit around flipping coins), challenges Dilbert to a game of heads-or-tails. In his first ten flips, the coin comes up heads every time but one. Boss claims to be just lucky, but Dilbert thinks he's playing with a loaded coin. Who is right?

General Steps	Does the boss cheat?
1. Decide on a null hypothesis -- a "model" that the data should fit
2. Note your "expected" and "observed" values
3. Simulate lots of data
4. Decide what your "threshold of pain" is (otherwise known as a p-value). *Note: technically this should come before simulating your data!
5. Determine whether the agreement of the simulated data with the observed data falls within the threshhold -- if so, we say the model fits the data well.

Verdict: The boss cheats (but you knew that already, right?).