A researcher would like to compare five cassava varieties for yield. She decides to use blocks in the field to control variation due to soil texture. She also suspects that the field may gradually differ in soil moisture that could affect the yield of the final end- product. She used a Latin Square Design. Data below are dry weights of plants in kg/plot. Soil moisture Soil texture 1 2 3 4 5 1 V5 24.2 V1 10.3 V2 22.8 V4 26.3 V3 31.0 IN V4 28.1 V3 24.6 V1 17.4 V2 21.2 V5 35.4 3 V1 17.8 V4 30.0 V5 24.3 V3 34.2 V2 28.1 V3 21.2 V2 23.7 V4 24.8 V5 31.0 V1 25.4 15 V2 14.3 V5 16.3 V3 27.8 V1 18.3 V4 30.0 1- Calculate an analysis of variance table for these data using Excel. 2- Test the hypothesis that variety means are equal. 3- Compare between means using LSD and LSR 4- "What is the relative efficiency of this design when compared to: - An RBD with rows as blocks? - A CRD? 5- How many reps would you need to obtain the same level of precision in a CRD?" To compare with an RBD using rows as blocks RE = MSC + (t-1)MSE tMSE To compare with a CRD RE = MSR + MSC + (t-1)MSE (t+1)MSE