MVN Test for Data Selection
Bill
This is the report for testing the MVN for selecting the data.
## [1] "Sample size will be 729"Testing the Multivariate Normality
## [1] "################### This is MVN Tests for A-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 5.421249
## p-value : 2.753353e-14
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.6606626
## chi.skew : 119.5799
## p.value.skew : 6.567217e-25
##
## g2p : 12.99151
## z.kurtosis : 20.5616
## p.value.kurt : 0
##
## chi.small.skew : 120.1313
## p.value.small : 5.007481e-25
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for A-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 33.93659
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 2.776279
## chi.skew : 698.2342
## p.value.skew : 8.405862e-150
##
## g2p : 42.25154
## z.kurtosis : 166.3163
## p.value.kurt : 0
##
## chi.small.skew : 700.5502
## p.value.small : 2.649103e-150
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for A-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 57.94018
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 2.665535
## chi.skew : 1064.437
## p.value.skew : 3.86656e-229
##
## g2p : 33.06548
## z.kurtosis : 153.3661
## p.value.kurt : 0
##
## chi.small.skew : 1066.66
## p.value.small : 1.275152e-229
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for R-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 7.204905
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.810204
## chi.skew : 129.3626
## p.value.skew : 5.329863e-27
##
## g2p : 10.8024
## z.kurtosis : 10.84233
## p.value.kurt : 0
##
## chi.small.skew : 130.0389
## p.value.small : 3.820232e-27
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for R-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 29.69236
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 52.23315
## chi.skew : 9480.316
## p.value.skew : 0
##
## g2p : 145.5988
## z.kurtosis : 567.5949
## p.value.kurt : 0
##
## chi.small.skew : 9523.908
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for R-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 33.819
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 7.200965
## chi.skew : 1556.609
## p.value.skew : 0
##
## g2p : 41.18485
## z.kurtosis : 149.3894
## p.value.kurt : 0
##
## chi.small.skew : 1562.617
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for N-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 3.735947
## p-value : 2.316324e-09
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.6827684
## chi.skew : 64.52162
## p.value.skew : 3.245203e-13
##
## g2p : 9.266584
## z.kurtosis : 3.76995
## p.value.kurt : 0.00016328
##
## chi.small.skew : 65.0922
## p.value.small : 2.460655e-13
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for N-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 11.76879
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.214896
## chi.skew : 54.87011
## p.value.skew : 3.459088e-11
##
## g2p : 11.37376
## z.kurtosis : 16.50643
## p.value.kurt : 0
##
## chi.small.skew : 55.04937
## p.value.small : 3.172496e-11
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for N-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 31.29896
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.971804
## chi.skew : 229.3866
## p.value.skew : 1.789151e-48
##
## g2p : 14.03943
## z.kurtosis : 19.94499
## p.value.kurt : 0
##
## chi.small.skew : 231.0335
## p.value.small : 7.908576e-49
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for D-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 3.993833
## p-value : 2.766026e-10
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.2419282
## chi.skew : 30.52327
## p.value.skew : 3.829307e-06
##
## g2p : 9.606251
## z.kurtosis : 5.524226
## p.value.kurt : 3.309414e-08
##
## chi.small.skew : 30.7253
## p.value.small : 3.482881e-06
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for D-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 64.41118
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 819.5594
## chi.skew : 296543.9
## p.value.skew : 0
##
## g2p : 1137.789
## z.kurtosis : 6580.169
## p.value.kurt : 0
##
## chi.small.skew : 297227.4
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for D-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 53.37549
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 3.306797
## chi.skew : 674.5866
## p.value.skew : 1.108344e-144
##
## g2p : 22.46428
## z.kurtosis : 63.25538
## p.value.kurt : 0
##
## chi.small.skew : 677.3459
## p.value.small : 2.800751e-145
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for C-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 23.18927
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.634714
## chi.skew : 105.984
## p.value.skew : 5.22643e-22
##
## g2p : 8.199038
## z.kurtosis : 0.4907061
## p.value.kurt : 0.6236343
##
## chi.small.skew : 107.3518
## p.value.small : 2.670796e-22
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for C-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 14.20543
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.37895
## chi.skew : 82.96685
## p.value.skew : 4.094459e-17
##
## g2p : 8.362686
## z.kurtosis : 0.8613793
## p.value.kurt : 0.3890292
##
## chi.small.skew : 84.12108
## p.value.small : 2.330334e-17
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for C-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 33.13082
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 236.8367
## chi.skew : 12118.15
## p.value.skew : 0
##
## g2p : 260.432
## z.kurtosis : 552.8707
## p.value.kurt : 0
##
## chi.small.skew : 12316.54
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for Q-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 5.837499
## p-value : 5.02931e-14
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.280017
## chi.skew : 126.0817
## p.value.skew : 2.68016e-26
##
## g2p : 11.83392
## z.kurtosis : 11.65055
## p.value.kurt : 0
##
## chi.small.skew : 127.1513
## p.value.small : 1.583133e-26
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for Q-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 25.89785
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 59.84038
## chi.skew : 9245.338
## p.value.skew : 0
##
## g2p : 145.5564
## z.kurtosis : 523.5168
## p.value.kurt : 0
##
## chi.small.skew : 9295.291
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for Q-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 42.90921
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 7.494958
## chi.skew : 1530.221
## p.value.skew : 0
##
## g2p : 34.20871
## z.kurtosis : 114.6631
## p.value.kurt : 0
##
## chi.small.skew : 1536.475
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for E-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 14.27544
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 2.395984
## chi.skew : 438.465
## p.value.skew : 1.353336e-93
##
## g2p : 21.28503
## z.kurtosis : 55.02672
## p.value.kurt : 0
##
## chi.small.skew : 440.4646
## p.value.small : 5.002335e-94
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for E-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 29.93904
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.215271
## chi.skew : 366.8093
## p.value.skew : 4.112769e-78
##
## g2p : 18.2634
## z.kurtosis : 54.59598
## p.value.kurt : 0
##
## chi.small.skew : 367.823
## p.value.small : 2.484399e-78
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for E-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 78.04425
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 157.1629
## chi.skew : 62943.75
## p.value.skew : 0
##
## g2p : 367.7725
## z.kurtosis : 2204.524
## p.value.kurt : 0
##
## chi.small.skew : 63074.8
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for H-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 2.54482
## p-value : 3.814782e-06
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.3553454
## chi.skew : 24.81495
## p.value.skew : 5.480854e-05
##
## g2p : 10.33253
## z.kurtosis : 5.968221
## p.value.kurt : 2.398544e-09
##
## chi.small.skew : 25.11221
## p.value.small : 4.776261e-05
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for H-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 4.702448
## p-value : 1.304234e-11
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.9441186
## chi.skew : 90.00597
## p.value.skew : 1.312919e-18
##
## g2p : 13.33159
## z.kurtosis : 15.93915
## p.value.kurt : 0
##
## chi.small.skew : 90.79494
## p.value.small : 8.925312e-19
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for H-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 4.570095
## p-value : 4.067169e-11
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.2287179
## chi.skew : 18.33555
## p.value.skew : 0.001060991
##
## g2p : 9.853847
## z.kurtosis : 5.082254
## p.value.kurt : 3.729829e-07
##
## chi.small.skew : 18.52678
## p.value.small : 0.0009733094
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for I-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 11.89828
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.6623935
## chi.skew : 183.3726
## p.value.skew : 1.40657e-38
##
## g2p : 9.834373
## z.kurtosis : 9.345066
## p.value.kurt : 0
##
## chi.small.skew : 183.9251
## p.value.small : 1.070223e-38
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for I-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 10.19947
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.2921734
## chi.skew : 38.32341
## p.value.skew : 9.609562e-08
##
## g2p : 10.82414
## z.kurtosis : 9.903398
## p.value.kurt : 0
##
## chi.small.skew : 38.56739
## p.value.small : 8.557466e-08
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for I-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 38.96372
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 2.860081
## chi.skew : 592.9901
## p.value.skew : 5.096916e-127
##
## g2p : 20.34703
## z.kurtosis : 54.43556
## p.value.kurt : 0
##
## chi.small.skew : 595.3766
## p.value.small : 1.551782e-127
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for L-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 14.95835
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.197237
## chi.skew : 374.7351
## p.value.skew : 7.985733e-80
##
## g2p : 12.92827
## z.kurtosis : 26.69636
## p.value.kurt : 0
##
## chi.small.skew : 375.7336
## p.value.small : 4.859958e-80
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for L-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 15.65055
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.5460748
## chi.skew : 138.1569
## p.value.skew : 7.00151e-29
##
## g2p : 11.35901
## z.kurtosis : 16.35901
## p.value.kurt : 0
##
## chi.small.skew : 138.6125
## p.value.small : 5.593469e-29
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for L-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 81.18398
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 22.84516
## chi.skew : 9556.893
## p.value.skew : 0
##
## g2p : 157.0509
## z.kurtosis : 933.4295
## p.value.kurt : 0
##
## chi.small.skew : 9575.943
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for K-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 11.8178
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.7664303
## chi.skew : 157.6292
## p.value.skew : 4.71352e-33
##
## g2p : 10.66861
## z.kurtosis : 11.71797
## p.value.kurt : 0
##
## chi.small.skew : 158.2687
## p.value.small : 3.437254e-33
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for K-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 31.08807
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.07094971
## chi.skew : 21.47411
## p.value.skew : 0.0002549851
##
## g2p : 10.98122
## z.kurtosis : 15.88042
## p.value.kurt : 0
##
## chi.small.skew : 21.53329
## p.value.small : 0.0002481751
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for K-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 56.47366
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 5.159174
## chi.skew : 1555.491
## p.value.skew : 0
##
## g2p : 36.62108
## z.kurtosis : 152.1652
## p.value.kurt : 0
##
## chi.small.skew : 1559.794
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for M-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 2.620408
## p-value : 2.723685e-06
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.050296
## chi.skew : 58.6415
## p.value.skew : 5.596278e-12
##
## g2p : 12.56433
## z.kurtosis : 10.44262
## p.value.kurt : 0
##
## chi.small.skew : 59.52094
## p.value.small : 3.657501e-12
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for M-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 8.785342
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.9017133
## chi.skew : 67.6285
## p.value.skew : 7.184802e-14
##
## g2p : 12.4118
## z.kurtosis : 11.69856
## p.value.kurt : 0
##
## chi.small.skew : 68.38261
## p.value.small : 4.981283e-14
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for M-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 8.580346
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.972473
## chi.skew : 194.2886
## p.value.skew : 6.347846e-41
##
## g2p : 14.16676
## z.kurtosis : 18.73961
## p.value.kurt : 0
##
## chi.small.skew : 195.9368
## p.value.small : 2.807753e-41
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for F-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 7.761607
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.8295245
## chi.skew : 146.9641
## p.value.skew : 9.10339e-31
##
## g2p : 12.91199
## z.kurtosis : 20.01861
## p.value.kurt : 0
##
## chi.small.skew : 147.6564
## p.value.small : 6.469687e-31
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for F-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 3.854649
## p-value : 9.117218e-10
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.5678993
## chi.skew : 60.76522
## p.value.skew : 2.003035e-12
##
## g2p : 11.57853
## z.kurtosis : 11.33396
## p.value.kurt : 0
##
## chi.small.skew : 61.23965
## p.value.small : 1.59198e-12
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for F-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 16.03608
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.700558
## chi.skew : 252.5329
## p.value.skew : 1.853072e-53
##
## g2p : 15.67227
## z.kurtosis : 28.6268
## p.value.kurt : 0
##
## chi.small.skew : 253.9526
## p.value.small : 9.162806e-54
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for P-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 20.44135
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 53.68776
## chi.skew : 4903.482
## p.value.skew : 0
##
## g2p : 122.2309
## z.kurtosis : 334.2595
## p.value.kurt : 0
##
## chi.small.skew : 4948.353
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for P-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 71.48778
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 126.7004
## chi.skew : 37524.44
## p.value.skew : 0
##
## g2p : 319.6251
## z.kurtosis : 1642.049
## p.value.kurt : 0
##
## chi.small.skew : 37630.12
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for P-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 5.138148
## p-value : 6.960765e-12
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 5.206913
## chi.skew : 293.3228
## p.value.skew : 2.985664e-62
##
## g2p : 25.91987
## z.kurtosis : 41.1816
## p.value.kurt : 0
##
## chi.small.skew : 297.6824
## p.value.small : 3.425386e-63
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for S-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 6.737127
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 2.09931
## chi.skew : 365.9797
## p.value.skew : 6.213252e-78
##
## g2p : 24.62636
## z.kurtosis : 67.21607
## p.value.kurt : 0
##
## chi.small.skew : 367.7318
## p.value.small : 2.599666e-78
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for S-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 59.26912
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.1444302
## chi.skew : 48.3841
## p.value.skew : 7.848548e-10
##
## g2p : 19.67095
## z.kurtosis : 65.40551
## p.value.kurt : 0
##
## chi.small.skew : 48.50456
## p.value.small : 7.407472e-10
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for S-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 47.97514
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 10.70437
## chi.skew : 1701.996
## p.value.skew : 0
##
## g2p : 35.55509
## z.kurtosis : 106.3864
## p.value.kurt : 0
##
## chi.small.skew : 1710.931
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for T-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 55.04871
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 113.2322
## chi.skew : 26307.62
## p.value.skew : 0
##
## g2p : 161.5544
## z.kurtosis : 716.6445
## p.value.kurt : 0
##
## chi.small.skew : 26402.09
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for T-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 28.79665
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 2.913694
## chi.skew : 707.0565
## p.value.skew : 1.033444e-151
##
## g2p : 21.97679
## z.kurtosis : 66.66505
## p.value.kurt : 0
##
## chi.small.skew : 709.4872
## p.value.small : 3.075693e-152
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for T-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 50.31639
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 19.80407
## chi.skew : 2884.792
## p.value.skew : 0
##
## g2p : 78.63753
## z.kurtosis : 261.0365
## p.value.kurt : 0
##
## chi.small.skew : 2901.326
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for Y-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 3.952955
## p-value : 2.002389e-10
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 0.6209849
## chi.skew : 96.56315
## p.value.skew : 5.299841e-20
##
## g2p : 10.82915
## z.kurtosis : 10.80207
## p.value.kurt : 0
##
## chi.small.skew : 97.08153
## p.value.small : 4.11128e-20
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for Y-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 8.699015
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 11.81211
## chi.skew : 1165.461
## p.value.skew : 4.892578e-251
##
## g2p : 51.84581
## z.kurtosis : 133.3518
## p.value.kurt : 0
##
## chi.small.skew : 1175.331
## p.value.small : 3.547606e-253
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for Y-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 14.30649
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 3.176317
## chi.skew : 348.3361
## p.value.skew : 4.010766e-74
##
## g2p : 18.86096
## z.kurtosis : 34.82499
## p.value.kurt : 0
##
## chi.small.skew : 350.9895
## p.value.small : 1.072336e-74
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for W-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 2.319825
## p-value : 1.653783e-05
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.171877
## chi.skew : 69.7267
## p.value.skew : 2.592334e-14
##
## g2p : 15.59956
## z.kurtosis : 17.94869
## p.value.kurt : 0
##
## chi.small.skew : 70.70765
## p.value.small : 1.609085e-14
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for W-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 4.207088
## p-value : 1.027897e-09
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 5.24369
## chi.skew : 191.3947
## p.value.skew : 2.658201e-40
##
## g2p : 26.47259
## z.kurtosis : 34.17117
## p.value.kurt : 0
##
## chi.small.skew : 195.7965
## p.value.small : 3.00968e-41
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for W-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 2.18187
## p-value : 4.034102e-05
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 3.029659
## chi.skew : 148.9582
## p.value.skew : 3.403736e-31
##
## g2p : 18.0971
## z.kurtosis : 21.67792
## p.value.kurt : 0
##
## chi.small.skew : 151.4967
## p.value.small : 9.727012e-32
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for V-B #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 10.37789
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.739044
## chi.skew : 664.0248
## p.value.skew : 2.144415e-142
##
## g2p : 36.50288
## z.kurtosis : 170.5341
## p.value.kurt : 0
##
## chi.small.skew : 665.475
## p.value.small : 1.040742e-142
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for V-C #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 23.47489
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 1.797987
## chi.skew : 335.3246
## p.value.skew : 2.583528e-71
##
## g2p : 19.7699
## z.kurtosis : 49.21506
## p.value.kurt : 0
##
## chi.small.skew : 336.825
## p.value.small : 1.225514e-71
##
## Result : Data are not multivariate normal.
## ---------------------------------------
## [1] "################### This is MVN Tests for V-H #######################"
## Henze-Zirkler's Multivariate Normality Test
## ---------------------------------------------
## data : CACB
##
## HZ : 51.56169
## p-value : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------------
##
## Mardia's Multivariate Normality Test
## ---------------------------------------
## data : CACB
##
## g1p : 20.92762
## chi.skew : 4904.04
## p.value.skew : 0
##
## g2p : 66.94368
## z.kurtosis : 276.2739
## p.value.kurt : 0
##
## chi.small.skew : 4921.499
## p.value.small : 0
##
## Result : Data are not multivariate normal.
## ---------------------------------------