Table 3.

Number of False Positives $\left(\widehat{FP}\right)$, False Negatives $\left(\widehat{FN}\right)$ and total Misclassifications $\left(\widehat{M}\right)$ estimates for each procedure (s.e), based on B = 512 Monte Carlo replicated synthetic datasets. With previous abbreviations (Subsection 5.2): LOG: log-transformed scale; RAW : untransformed scale. t – REG : regular two-sample unequal variances (Welch) t-test; t – MVR : Mean-Variance Regularized t-test; t – CVSR : CART-Variance-Stabilization Regularized t-test; t – HBR : Baldi's Hierarchical Bayesian Regularized t-test; t – EBR : Efron's Empirical Bayes Regularized z-test; t – SR : SAM Regularized t-test; t – BR : Smyth's Bayesian Regularized t-test; t – JSR : Cui et al.'s JamesStein Regularized t-test; t – VSN : VSN-transformed t-test; t – LOESS : LOESS-transformed t-test; t – CSS : CSS-transformed t-test; t – QUANT : QUANT-transformed t-test; t – GAMLSS : GAMLSS-transformed t-test. Results are shown on the RAW and LOG-scale for the synthetic dataset from model 14.

		t – REG	t – MVR	t – CVSR	t – HBR	t – EBR
LOG	$\widehat{FP}$	68.7 (0.8)	62.8 (1.0)	73.5 (0.8)	61.1 (0.8)	68.9 (0.8)
	$\widehat{FN}$	68.1 (0.8)	62.2 (1.0)	72.9 (0.8)	60.5 (0.8)	68.3 (0.8)
	$\widehat{M}$	136.7 (1.5)	125.0 (1.9)	146.5 (1.5)	121.6 (1.5)	137.1 (1.5)
RAW	$\widehat{FP}$	67.1 (0.8)	57.6 (1.0)	59.3 (0.8)	62.5 (0.8)	64.6 (0.8)
	$\widehat{FN}$	67.9 (0.8)	58.5 (0.9)	60.1 (0.8)	63.4 (0.8)	65.4 (0.8)
	$\widehat{M}$	135.0 (1.5)	116.1 (1.8)	119.4 (1.5)	125.9 (1.5)	130.0 (1.5)

		t – SR	t – BR	t – JSR	t – VSN	t – LOESS
LOG	$\widehat{FP}$	73.8 (0.8)	70.4 (0.8)	70.4 (0.8)	65.3 (0.8)	70.4 (0.9)
	$\widehat{FN}$	73.2 (0.8)	69.8 (0.8)	69.9 (0.8)	64.7 (0.8)	69.8 (0.9)
	$\widehat{M}$	147.1 (1.5)	140.2 (1.5)	140.3 (1.5)	130.0 (1.5)	140.3 (1.7)
RAW	$\widehat{FP}$	63.0 (0.8)	60.2 (0.8)	60.1 (0.8)	63.7 (0.8)	69.5 (0.9)
	$\widehat{FN}$	63.8 (0.7)	61.1 (0.8)	60.9 (0.8)	64.6 (0.8)	70.3 (0.9)
	$\widehat{M}$	126.8 (1.4)	4121.3 (1.5)	121.0 (1.5)	128.3 (1.5)	139.8 (1.6)

		t – CSS	t – QUANT	t – GAMLSS
LOG	$\widehat{FP}$	69.7 (0.8)	71.2 (0.8)	68.7(0.8)
	$\widehat{FN}$	69.1 (0.8)	70.6 (0.8)	68.1(0.8)
	$\widehat{M}$	138.9 (1.5)	141.8 (1.5)	136.7(1.5)
RAW	$\widehat{FP}$	69.3 (0.8)	71.1 (0.8)	67.1(0.8)
	$\widehat{FN}$	70.1 (0.8)	71.9 (0.8)	67.9(0.8)
	$\widehat{M}$	139.4 (1.5)	143.0 (1.5)	135.0(1.5)