To compare the effects of five different assembly methods (denoted by the Latin letters A, B, C, D, E) on the throughput, an experiment based on Graeco- Latin square was conducted which involved three blocking variables: day, operator, and machine type.The data are given in the table below, where the machine type is denoted by the five Greekletters. The response, throughput, is the number of completed pieces per day and is given inparentheses in the table. Analyze the data and compare the five assembly methods.Please use R-Studio software

https : / /www2. isve. gatech. edu/~jeffwu/book/data/throughput . dat) Operator Day 2 3 4 Aa (102 BB (105) Cy (82 DS (141) EE (132 By (92) CS (112 DE (131) Ea (112 AB (99 CE (96) Da (130) EB (108) AY (73 B6 (129) 4 DB (120) Ey (100) AS (111) BE (116) Ca (100) ES (123 AE (110) Ba (111) CB (85 Dy (100)