n

Statistic

Proposal

Mardia’s

SJ

Royston’s

Q'

Q

K²

Z

H

H'

50

W

0.6494

0.6325

0.7488

0.8046

0.7675

0.8001

Z

5.9769

6.0772

5.2658

4.7306

5.1013

4.7790

p

<0.0001

<0.0001

<0.0001

<0.0001

<0.0001

<0.0001

Normality

no

no

no

no

no

no

40

W

0.4679

0.4751

0.6446

0.8279

0.6718

0.7056

Z

6.2316

6.1915

5.5607

4.0350

5.3934

5.1648

p

<0.0001

<0.0001

<0.0001

<0.0001

<0.0001

<0.0001

Normality

no

no

no

no

no

no

10

W

0.9287

0.8735

0.8765

0.7942

0.9634

0.9746

Z

0.1642

1.2270

1.1811

2.2472

−0.9280

−1.4755

p

0.4348

0.1099

0.1188

0.0123

0.8233

0.9300

Normality

yes

yes

yes

no

yes

yes