Reading from text, Chapter 15, second part

Chapter 15: 15.6 - 15.7

15.6

The utility of and rationale for fractional incomplete designs from 2^k complete designs

 

Construction of ... : One way to describe how to make a good fractional design

 

Aliases ... : We say hypotheses are confounded / effects are aliased. Generating function introduced.

 

How aliases ... : Using the generating function to determine aliases

 

Formal ... : Choose your generating function such that the main effects are aliased with higher-order interactions and not other main effects. Start with the full design and cut it down to fewer conditions, e.g. 4 factors using an eight-cell design. Example: ABCD = I.

 

Construction ... : This time, we add factors onto a smaller design, e.g. D & E added to ABC. Still, we want the main effects to be aliased with higher-order interactions.

15.7

Finding the SSs and constructing the ANOVA table. Need to pool some effects to make the error term because of "S" instead of "G".