Table 7.

The parameter estimates (standard errors) for the fitted SN distribution to the three health measurements in AIDS clinical trail data (measured at day 2), obtained through MDPDEs at different α, the MLE (at $\alpha =0$) and the outlier deleted MLE. The number of outliers found for each measurements are reported after their name in the first column.

		α
Variable (Outlier)		0(MLE)	0.1	0.3	0.5	0.7	1.0	Outlier deleted MLE
CD4	μ	252.650	252.634	252.634	252.634	252.634	252.634	252.650
(0)		(1.538)	(1.729)	(1.954)	(2.177)	(2.280)	(2.470)	(1.538)
	σ	89.204	89.204	89.204	89.204	89.204	89.204	89.204
		(1.169)	(1.243)	(1.290)	(1.343)	(1.475)	(1.989)	(1.160)
	γ	−1.084	−1.057	−1.058	−1.059	−1.059	−1.059	−1.084
		(0.675)	(0.696)	(0.733)	(0.738)	(0.752)	(0.755)	(0.679)
CD8	μ	407.251	407.141	407.140	407.140	407.140	407.140	408.972
(2)		(1.605)	(1.736)	(1.804)	(2.063)	(2.160)	(2.708)	(1.284)
	σ	757.601	594.563	594.562	594.562	594.562	594.562	570.614
		(1.839)	(2.297)	(2.406)	(2.749)	(3.386)	(3.986)	(1.771)
	γ	109.581	9.739	9.738	9.738	9.738	9.738	87.762
		(1.291)	(2.264)	(2.370)	(2.442)	(2.751)	(3.216)	(0.790)
LGVIRAL	μ	5.374	4.548	4.592	4.598	4.597	4.595	4.558
(1)		(0.076)	(0.076)	(0.078)	(0.086)	(0.105)	(0.278)	(0.053)
	σ	0.902	0.713	0.675	0.642	0.630	0.620	0.510
		(0.076)	(0.079)	(0.085)	(0.096)	(0.117)	(0.166)	(0.055)
	γ	−1.231	1.222	1.271	1.380	1.485	1.609	1.679
		(0.160)	(0.305)	(0.326)	(0.330)	(0.331)	(0.927)	(0.344)