Table 7.

Simulation results for theorem verification: The top rows investigate Theorem 5; they display the average misclassification errors for both classes over 100 simulations and the standard error (in parentheses). The bottom rows validate Theorem 6, by showing that the theoretical angle between the DWD direction and the optimal classification direction given by the theorem, and the average observed angles for both wDWD and stdDWD together with the standard error (in parentheses)

	Case 1 weak		Case 2 intermediate		Case 3 strong
	μ2 = 0.005 < 0.01		0.01 < μ2 = 0.011 < 0.02		μ2 = 0.059 > 0.02
	Class +	Class −	Class +	Class −	Class +	Class −
Error wDWD	43.91 (1.714)	33.76 (1.674)	29.41 (1.368)	25.3 (1.244)	2.4 (0.148)	0.71 (0.078)
Error stdDWD	78.04 (0.381)	8.63 (0.233)	67.06 (0.432)	4.67 (0.148)	13.17 (0.291)	0.05 (0.015)
Theoretical angle	65.16		55.43		32.15
Obs. angle wDWD	65.41 (0.208)		55.59 (0.189)		32.56 (0.139)
Obs. angle stdDWD	66.86 (0.193)		57.5 (0.189)		34.06 (0.127)