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Chapter 6 Randomized Block Design Two Factor ANOVA ...

Chapter 6 Randomized Block DesignTwo Factor ANOVAI nteraction in ANOVATwo Factor (two way) ANOVATwo Factor ANOVA is used when: Y is a quantitative response variable There are two categorical explanatory variables, called Factors: Factor A has K levels, k =1, .., K Factor B has J levels, j = 1, .., J The combination of level k for A and level j for B has sample size nkjbut if all equal, just use n. Use N for overall sample case: Using BLOCKS Definition: A Block is a group of similar units, or the same unit measured multiple are used to reduce known sources of variability, by comparing levels of a Factor within (explained in detail in class): Factor = 3 methods of reducing blood pressure; Blocks defined using initial blood pressure.

Factorial Design Assume: Factor A has K levels, Factor B has J levels. To estimate an interaction effect, we need more than one observation for each combination of factors. Let n kj = sample size in (k,j)thcell. Definition: For a balanced design, n kj is constant for all cells. n kj = n n = 1 in a typical randomized block design n > 1 in a ...

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