Experimental Design & Factorial Treatments

Flashcards covering key vocabulary and concepts related to experimental design, factorial treatments, main effects, interactions, and ANOVA table interpretation.

Factorial Design

A design that examines multiple factors or treatments simultaneously to understand their individual and combined effects on a response variable.

Treatment Design

Selection of treatments or factors and the levels that each treatment or factor has.

Experimental Design

Concerned with how treatments are allocated to experimental units and the measurements taken.

Main Effect

The effect of a single factor on the response variable, regardless of the levels of other factors.

Interaction

The combined effect of two or more factors on the response variable, where the effect of one factor depends on the level of another factor.

Interaction Plots

Plots where both variables are plotted together, allowing for visualization of potential interactions between factors. They help in understanding how the factors influence each other.

Hypothesis Design

Designing an experiment with the primary goal of specifically studying the interaction term and its impact on outcomes.

Effect Size

Obtained by subtracting the experiment's overall mean from the overall mean for each variable, showing how each variable differs from the average. Can be communicated to end user about affects to bottom line.

Null Hypothesis (Interaction Term)

States that there is no combination of variety and nitrogen that has any interaction together that determines yield.

Interpreting ANOVA Tables

In complex designs, interpret ANOVA tables by starting with the highest order interaction term at the bottom of the table and moving upwards.