## Question on TWO factor ANOVA

Hello, been stumbling upon this question for a while in MINITAB

An evaluation of diffusion bonding of ziracloy components is performed. The main objective is to determine which of the 3 elements-nickel, iron, or copper is the best bonding agent. A series of ziracloy components are bonded using each of the possible bonding agents. Since there is a great deal of variation in components machined from different ignots, a randomized block design is used, blocking on the ignot. A pair of components from each ingot are bonded together using each of the 3 agents, and the pressure (in units of 1000 pounds per square inch) required to seperate the bonded componenets is measured. The following data are obtained

Bonding Agent
Ingot Nickel Iron Copper
1 67.0 71.9 72.2
2 67.5 68.8 66.4
3 76.0 82.6 74.5
4 72.7 78.1 67.3
5 73.1 74.2 73.2
6 65.8 70.8 68.7
7 75.6 84.9 69.0

Is there evidence of a difference in pressure required to seperate the componenets among the 3 bonding agents? use alpha=0.5

Im not sure if im doing this right in MINITAB but this is what i got

Two-way ANOVA: Pressure versus element, Ingot

Source DF SS MS F P
element 2 131.901 65.9505 6.36 0.013
Ingot 6 268.290 44.7149 4.31 0.015
Error 12 124.459 10.3716
Total 20 524.650

S = 3.220 R-Sq = 76.28% R-Sq(adj) = 60.46%

Am I on the right path? I think im getting confused in which ANOVA im supposed to be using and which are the factors, variables etc.

Any help would be great!