
Pasture & Range: January 2003
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In my last article, I pointed out that variability is a characteristic of all biological systems.
This characteristic arises from genetic variability inherent in all plants and animals, even among the same species. For instance,
think about the frame size variability that might exist in 100 head of steers
of the same breed. This variability, or lack of uniformity, also exists in
the environment for example, consider the high degree of variability
that exists across the landscape in most soils.
In a simple example, we might want to determine if a new rye variety yields
more forage than an old standard variety. If we plant the new and the old varieties
in side-by-side, identically sized plots, and then measure the forage yields,
what would we measure? We would measure the difference in forage yield between
the varieties, plus the difference in the environment and soils of each plot,
plus any differences in the way we conducted the work, including planting,
fertility, clipping height of the forage, etc.
Since these other factors affect yield, we must use a procedure that can separate
the yield difference from other sources of variation. That is, we must be able
to design an experiment that allows us to decide whether the observed difference
is caused only by the rye varieties or by other factors. In this example, with
only two plots planted to different rye varieties, we do not have enough information
to determine if the measured yield differences are real or are caused by environmental
variation or by a lack of uniformity in how we conducted the work.
The way to decide if the difference is real is relatively simple. The yield
of these two adjacent plots will only be considered different in their yield
character if the observed yield difference is larger than the variation that
would be expected if both plots were planted to the same variety. This latter
difference is a measure of what we call experimental error. Experimental error
is the difference among experimental units treated alike, where experimental
units might be plots of land, an individual animal, or groups of animals. We
must design an experiment that allows us to obtain an unbiased estimate of
the effect of interest (e.g. forage yield) and an estimate of the experimental
error. By obtaining estimates of both of these measures, we will be able to
separate the experimental error from the answers we seek. In order to accomplish
this, our design must include replication and randomization.
Replication is necessary to obtain multiple experimental units treated alike,
which, as mentioned previously, allow us to measure the experimental error.
The random assignment of treatments to experimental units is necessary to obtain
unbiased estimates of both the effect of interest (e.g., forage yield) and
the experimental error. The term "unbiased" is another way of saying
we are going to give each treatment a "fair" chance. By randomly
assigning treatments to the experimental units, we do not expect to favor any
treatment. We would obviously favor, or bias, the results if we selectively
planted one rye variety in the "best" soil and the other in "poor" soil
areas.
A well-designed experiment will incorporate all possible ways of minimizing
experimental error, because the ability to detect differences among treatments
increases as the size of the experimental error decreases. For example, if
the true yield difference between the old and new rye varieties is 50 pounds
per acre, and the experimental error is 100 lb/acre, you will never detect
the yield difference.
It is important to keep in mind that the results from research are only as
good as the integrity of the researcher conducting the work. There is no question
that proper experimental design is important, but it is also true that proper
analysis and interpretation are equally important. It is my goal to ensure
that the results we report come from experiments that are well designed and
properly analyzed and interpreted. In my next article, I will give you some
information regarding the interpretation of results so that you will be able
to evaluate research findings.
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