Highly precise finishing methods are important for the manufacturing of ultraprecision optical parts but conventional polishing methods have proven to be unsatisfactory. Magnetic abrasive finishing (MAF), a relatively new technology that uses abrasive particles surrounded by magnets that generate a magnetic field around the polishing area, has drawn attention as an alternative finishing method. The authors of “Run-to-Run Process Control of Magnetic Abrasive Finishing Using Bonded Abrasive Particles” (J. of Engr. Manuf., 2012: 1963–1975) examined the impact of MAF process control parameters on finishing outcomes. To see whether average surface roughness (Ra) is affected by the abrasive size (A), abrasive quantity (B), and quill gap (C), an experiment using three sizes, three quantities, and three gaps was performed, with two replicates at each of the factor combinations. The resulting sums of squares were SSA 210.67, SSB 132.17, SSC 2586.35, SS(AB) 57.48, SS(AC) 636.84, SS(BC) 875.00, SS(ABC) 888.52, SSE 5416.67 and SST 10,803.70.
a. Construct an ANOVA table for this data.
b. Test to see whether any interaction effects are significant at .05.
c. Test to see whether any main effects are significant at .05.