I want to analyse my data, which correspond to a split-plot design as repeated measures (date), but I am not sure if my model is correct. The samples were only taken in two dates; 18.04.12 and 09.06.12.
Are you sure about making all of the comparisons in the lsmeans statement? Will it be meaningful to compare, say Treatment1/Cultivar A in April to Treatment3/Cultivar B in June? Think about what the overall tests tell you, and then set up the lsmeans (or Lsmestimates) to deal only with the comparisons of interest, before applying a multiple comparison adjustment.
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ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.