Ikenna,
I apologize that I do not have the expertise to properly understand the report you provided. So, may I ask a few questions?
How many varieties of yam were planted?
Was each variety planted in each of three locations?
If each was planted in a location, how was the planting distributed? (A non random planting my not recognize a particularly fertile spot near a less fertile spot.)
What does 'number of observations' mean? Does it relate to the number of plants? Or the frequency in which the plants were measured?
How tightly were other variables controlled?
I believe I read about sampling theory in such cases, written by W. Edwards Deming, possibly in one of his books on sampling theory, or perhaps one of his articles.
Dr. Deming warns us against erroneous inference in many cases. If the data collected in the study is purely enumerative, then no causal inference can be made.
So, is the question, 'which yam grew best in all 3 locations?' Or does the study also plan to establish 'why a yam grew better in those locations?' The first case is enumerative, the second is analytical.
I'm curious what decision might be made if it were found that each yam strain did best in a different location? Would each strain then be used in it's favored location?
Again, this is not my area of expertise, so please forgive any ignorance I've exhibited here. I would love to learn more about your study.
-Terry
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Terry Rosen
BoulderTEC High School
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