This page contains references that may interest you if you wish to
explore an issue further. None of these are required.
Perspectives on statistical power:
- Cousens, R. and Marshall, C. 1987. Dangers in testing
statistical hypotheses. Annals of Applied Biology 111:469-476.
Review of type I and type II errors and why 'no evidence of a
difference' is not the same as no difference.
- Knapp, T.R. 1996. The overemphasis on power analysis. Nursing
Research 45:379-381.
Commentary on how power analysis can be misused. Some is specific
to nursing and NIH grants; most applies to any experiment.
- Thomas, L. 1997. Retrospective power analysis. Conservation
Biology 11:276-280.
Good introduction to power analysis.
I have focused on using power to design a new
experiment (i.e. a prospective analysis). Some folks like to use
power to interpret already
collected data. This has some problems, which are nicely reviewed
by Thomas.
Plot size
- Petersen, R. G. 1994. Agricultural Field Experiments. New
York: Marcel Dekker. Chapter 2, The Field Plot, describes the
Fairfield Smith law and other considerations in choosing plot size.
- Smith, H. F. 1938. An empirical law describing heterogeneity in the
yields of agricultural crops. J. Agric. Sci 28:1-23.
The original
paper describing the relationship between plot size and between plot
variance.
- Hathaway, W. H. 1963. Convenient plot size.
Agron. J. 53:279-280.
Combines plot size - variance relationship
with the power approach to determine the best combination of plot
size and number.
- Lin, C.S. and Binns, M.R. 1984. Working rules for determining
the plot size and numbers of plots per block in field
experiments. J. of Agricultural Science 103:11-15.
Another approach
to combining number and size of plots, this for block designs.
- Matern, B. 1986. Spatial Variation, 2nd ed. Berlin: Springer-Verlag.
pp 132-135 connect Smith's plot size law to variogram models for
spatial correlation. not recommended for those allergic to math.