Table 7.

Confidence intervals and prediction intervals and their [widths] for tick data.

	Confidence intervals for the mean number of ticks per sheep
Method	90% CI	95% CI	99% CI
Wald	(5.490, 7.632) [2.14]	(5.285, 7.837) [2.55]	(4.884, 8.238) [3.35]
M-Wald	(5.472, 7.650) [2.18]	(5.254, 7.868) [2.61]	(4.811, 8.311) [3.50]
Likelihood	(5.550, 7.569) [2.02]	(5.360, 7.762) [2.40]	(4.982, 8.139) [3.16]
Score	(5.675, 7.729) [2.05]	(5.529, 7.996) [2.47]	(5.262, 8.570) [3.31]
	Prediction intervals for the mean number of ticks for a sample of 10 sheep
	90% PI	95% PI	99% PI
Wald	(3.312, 9.810) [6.50]	(2.690, 10.43) [7.74]	(1.474, 11.65) [10.2]
M-Wald	(3.306, 9.815) [6.51]	(2.680, 10.44) [7.76]	(1.451, 11.67) [10.2]
Likelihood	(3.504, 9.618) [6.11]	(2.919, 10.20) [7.28]	(1.774, 11.35) [9.57]
JS-PI	(3.637, 9.762) [6.13]	(3.105, 10.41) [7.31]	(2.091, 11.71) [9.62]