Central Limit Theorem Illustration using Dice

1. 2 6 1 3 4 5 A v e r a g e s o f T w o D i c e 6 1 5 5 6 1 2 2 4 4 4 5 6 1 2 3 3 3 3 3 3 3 4 6 5 2 3 4 4 1 4 4 2 2 6 2 2 2 3 4 5 4 1 2 3 5 5 5 5 5 1 1 1 2 1 3 4 5 6 1 1 1 2 3 4 5 6 6 6 6 6 6 2 6 1 3 4 5 Central Limit TheoremIllustration using Dice • Individuals are uniform; averages tending toward normal! Example: "snakeyes" [1/1] is the only way to get an average of one.

2. “Many of the most useful • designs are extremely • simple.” • Sir Ronald Fisher

3. Popcorn TasteCompute the effect of C and BC

4. Half Normal Probability Paper (taste)Sorting the vital few from the trivial many. • Sort absolute value of effects into ascending order, “i”. Enter C & BC effects. • Compute Pis for effects. Enter Pis for i = 5 & 7. • Label the effects. Enter labels for C & BC effects.

5. Half Normal Probability Paper (taste)Sorting the vital few from the trivial many.

6. Analysis of Variance (taste)Sorting the vital few from the trivial many. Compute Sum of Squares for C and BC:

7. SS for 2k Factorial Effects

8. Popcorn TasteBC Interaction