Consider a Two-Way Analysis of Variance Experiment with Treatment Factors

question 58

Essay

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.
$$\begin{array} { l r r } \text { Source of Variation } & d f & \text { SS } \\\text { Factor A } & & 71 \\\text { Factor B } && 63 \\\text { Interaction } && 50 \\\text { Error } & & 280 \\\text { Total } & 71 & 464\end{array}$$
Calculate the degrees of freedom for factor A and factor B.

---

Definitions:

Hinge

A mechanical bearing that connects two solid objects, typically allowing a limited angle of rotation between them.

Pivot

A point of rotation or the act of rotating around a particular point, often used metaphorically to describe a shift in strategy or position.

Hyaluronic Acid

Mucopolysaccharide made up of alternating β-(1,4)-linked residues of hyalobiuronic acid, forming a gelatinous material in the tissue spaces and acting as a lubricant and shock absorbent generally throughout the body.

Synovial Fluid

A viscous liquid located within joint cavities, providing lubrication to reduce friction between articulating bones.