As mentioned in this section, the Bonferroni procedure can be used in a variety of circumstances. Consider the plover nesting example from Section 10.5, which compares plover nest locations across 3 years. The percentage distribution appears in the following table.

*The sums of the 2004 and 2006 percentages differ from 100% due to rounding
The P-value for the chi-square test of these data was found to be 0.007, indicating a significant difference in the distribution of nesting locations across the 3 years with α = 0.10. Considering reduced tables and using chi-square tests to compare nesting distributions for pairs of years, we obtain the following P-values:

Using a Bonferonni adjustment to achieve aew = 0.10, for which pair(s) of years is there evidence of a significant difference in nesting location distributions? Indicate the value of acw used.

Year Location Agricultural field (AF 48.8 30.2 553 Prairie dog habitat (PD) 39.53 25.5 Grassland (G) Total 2004 2005 2006 9.5 19 11.6 .9 100.0 999 Years compared 2004 to 2005 2004 to 2006 2005 to 2006 P-value 0.100 0.307 0.001