Analysis of Variance

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Table of Contents

Analysis of Variance

ANOVA or AOV

Experimental Design

CRD Definition

Non-homogeneous experimental units

Randomized Block Design (RBD)

RBD

RBD

Advantages

Disadvantages

Blocking Cautions #1

Blocking Cautions #2

Two-way classification

Summary of Sample RBD

ANOVA

Total Sum of Square (TSS)

Sum of Squares Treatment (SST)

Sum of Squares Blocks (SSB)

Sum of Squares Error (SSE)

ANOVA for a CRD

Mean Square

Degrees of Freedom

Mean Square Treatment (MST)

Mean Square Block (MSB)

Mean Square Error (MSE)

Test Statistic - TREATMENT

p-value

Block effect

Test Statistic - BLOCK

ANOVA Table

RBD Example (pg. 852-854)

Plot layout

Data

Solution

ANOVA Table

ANOVA Table

Author: Bill Retzlaff

Email: wretzla@siue.edu

Home Page: www.siue.edu/~wretzla

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