Table 1. Comparison of the joint probability of the largest and second largest gaps, and the largest, second largest, and third largest gaps all simultaneously falling in the upper 5^{th} percentile of their respective marginal distributions. Results are based on 5000 random draws from uniform distributions for assemblages ranging from n = 20 to n = 100 observations.



Proportion in upper 5^{th} percentile of largest and
2^{nd} largest gap 
Proportion in upper 5^{th} percentile of largest,
2^{nd} largest, and 3^{rd} largest gap 

Expectation if Independent → 
0.0025 
0.000125 
n 


20 
0.0044 
0.0006 
30 
0.0068 
0.001 
40 
0.007 
0.0016 
50 
0.0106 
0.0024 
60 
0.0112 
0.0032 
70 
0.0092 
0.004 
80 
0.0112 
0.0034 
90 
0.0098 
0.0026 
100 
0.0098 
0.0044 


