Statistical Approaches in Analysis of Variance: from Random
Arrangements to Latin Square Experimental Design Sorana D. BOLBOACA, Lorentz JANTSCHI, Radu SESTRAS Leonardo J Sci 2009; 8(15):71-82 ICID: 901006
Article type: Original article
IC™ Value: 4.48
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Abstract provided by Publisher
Background: The choices of experimental design as well as of statistical
analysis are of huge importance in field experiments. These are necessary to
be correctly in order to obtain the best possible precision of the results. The
random arrangements, randomized blocks and Latin square designs were
reviewed and analyzed from the statistical perspective of error analysis.
Material and Method: Random arrangements, randomized block and Latin
squares experimental designs were used as field experiments. A series of
previously published data were analyzed. An algorithm for errors analysis was
developed and applied on the experimental data. Results: The analysis
revealed that the errors classification in random arrangements is:
Error(Treatment) < Error(Total) < Error(Experiment). The errors
classification in randomized blocks revealed to be: Error(Treatment) <
Error(Total) < Error(Experiment) < Error(Block). The obtained errors
classification in Latin square was as follows: Error(Experiment) <
Error(Treatment) < Error(Total) < Error(Column) < Error(Row). Conclusions:
The Latin square design proved to have the smallest experimental errors
compared to randomized arrangement and randomized block design. The
classification of errors proved to be similar in randomized arrangements and
randomized block design.
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