Research Article

Comparative Performance of Four Single Extreme Outlier Discordancy Tests from Monte Carlo Simulations

Table 1

Sample simulation and test outcome (modified after Hayes and Kinsella [7]).

Discordancy test resultContaminant ( replications)
Present ( 0, 0, > 1, or −1)Absent
( = 0 or = 1)
Contaminant not used in a discordancy test
( type event)
Contaminant used in a discordancy test
( type event)

Not significant
(TN ≤ CV99)
Spurious type II error probability ( )
(Figure 3)
Nonspurious type II error probability ( )
(Figures 5 and 7)
True negative probability ( )
(Figures 3, 5, and 7)

Significant
(TN > CV99)
Spurious power probability ( )
(Figure 4)
Nonspurious power probability ( )
(Figures 6 and 8)
Type I error probability ( )
(Figures 4, 6, and 8)

TN: calculated test statistic for a sample (TN2, TN8, TN14, or TN15); CV99: critical value for a given discordancy test at 99% confidence level.