Question 4: The following analysis gives the results of a trial carried out to assess the impact of four different types of tree harvester on forest soil compaction. It was suspected that the gradient of the forest might affect the amount of compaction caused by the harvesters; thus two gradient levels, flat and steep, were included in the trial. The trial was conducted at various independent forest sites, with each site corresponding to one treatment combination. Each treatment was replicated 5 times, thus a total of 40 forest sites were used in the experiment. The variable measured was soil compaction. ANOVA for variable Soil Compaction Degrees of Sums of Squares Mean Square Freedom Source of Variation VR Harvester Type Gradient 0.1683 196.2008 14.06 Type x Gradient Error TOTAL 1993.9172 Gradient Table of Means for Soil Compaction Harvester Type Type 1 Type 2 Type 4 19.64 5.49 12.48 19.89 25.03 14.71 8.76 9.52 22.34 10.10 10.62 14.71 Gradient Means 14.37 14.51 Flat Steep Type Means Least Significant Difference for the interaction is LSD (0.05) = 4.8117. a) State the appropriate factorial model for the experiment described above. Define all terms in the model. b) Write down the appropriate hypotheses for the experiment described above. Define all symbols used. c) Complete the ANOVA. Question 4: The following analysis gives the results of a trial carried out to assess the impact of four different types of tree harvester on forest soil compaction. It was suspected that the gradient of the forest might affect the amount of compaction caused by the harvesters; thus two gradient levels, flat and steep, were included in the trial. The trial was conducted at various independent forest sites, with each site corresponding to one treatment combination. Each treatment was replicated 5 times, thus a total of 40 forest sites were used in the experiment. The variable measured was soil compaction. ANOVA for variable Soil Compaction Degrees of Sums of Squares Mean Square Freedom Source of Variation VR Harvester Type Gradient 0.1683 196.2008 14.06 Type x Gradient Error TOTAL 1993.9172 Gradient Table of Means for Soil Compaction Harvester Type Type 1 Type 2 Type 4 19.64 5.49 12.48 19.89 25.03 14.71 8.76 9.52 22.34 10.10 10.62 14.71 Gradient Means 14.37 14.51 Flat Steep Type Means Least Significant Difference for the interaction is LSD (0.05) = 4.8117. a) State the appropriate factorial model for the experiment described above. Define all terms in the model. b) Write down the appropriate hypotheses for the experiment described above. Define all symbols used. c) Complete the ANOVA