ENGG953 Modeling of Engineering Management Systems Week 8 Class Work (Block Anova, Repeated Measure Anova, Two Factor Anova) Problem 1: In examining the possible causes of electric motor vibrations, two characteristics have been identified that are thought to influence the amount of vibration. The response is measured in Microns of running motors. Factor A: Brand of the motor (5 brands) Factor B: type of casing material (steel, aluminium, plastic). Each treatment was repeated twice. Brand Steel Aluminium Plastic 1 13.1 13.2 15 14.8 14 14.3 2 16.3 15.8 15.7 16.4 17.2 16.7 3 13.7 14.3 13.9 14.3 12.4 12.3 4 15.7 15.8 13.7 14.2 14.4 13.9 5 13.5 12.5 13.4 13.8 13.2 13.1 1) Carry the necessary Analysis using R. State all sources of variations 2) Use p-value approach and plotting to Carry interaction analysis 3) Plot interaction diagram using excel