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Model with a constant (Cumulative Frequencies)

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*** Cum. Freq = 1, p = 1,..,5

90% 95% 99%

1 Trace(1) 11.96591 14.30840 19.15244

2 Trace(1) 25.33234 28.18929 34.17934

3 Trace(1) 42.40214 46.02544 52.73163

4 Trace(1) 63.57798 67.68133 75.99406

5 Trace(1) 89.19402 93.91098 103.47587


1 Lambda(1) 11.96591 14.30840 19.15244

2 Lambda(1) 19.42429 21.81952 26.89734

3 Lambda(1) 25.99134 28.35264 34.30575

4 Lambda(1) 32.29822 34.91794 41.03214

5 Lambda(1) 38.51377 41.17167 46.46918


*** Cum. Freq = 2, p = 1,..,5

1 Trace(1) 17.12811 19.73892 25.14218

2 Trace(1) 34.36713 37.92253 44.95216

3 Trace(1) 55.85528 59.84259 66.57540

4 Trace(1) 82.06625 86.58413 95.98911

5 Trace(1) 111.93068 117.05128 127.34426


1 Lambda(1) 17.12811 19.73892 25.14218

2 Lambda(1) 25.28195 27.76404 33.42090

3 Lambda(1) 32.36538 35.04145 40.43070

4 Lambda(1) 38.92353 41.93187 48.12253

5 Lambda(1) 45.36670 48.45197 54.53528


*** Cum. Freq = 3, p = 1,..,5

1 Trace(1) 22.42492 25.34511 30.84669

2 Trace(1) 43.47643 47.78119 55.33764

3 Trace(1) 69.01807 73.55901 82.09909

4 Trace(1) 99.43460 104.83568 115.13299

5 Trace(1) 134.49878 140.70307 151.77835


1 Lambda(1) 22.42492 25.34511 30.84669

2 Lambda(1) 31.12968 33.83060 39.68737

3 Lambda(1) 38.33113 41.42773 47.96842

4 Lambda(1) 45.27037 48.46413 55.38000

5 Lambda(1) 52.09768 55.34988 62.31783


*** Cum. Freq = 4, p = 1,..,5

1 Trace(1) 27.39080 30.39381 37.00868

2 Trace(1) 53.08466 57.38707 65.69967

3 Trace(1) 82.47918 87.96552 98.26180

4 Trace(1) 117.64283 123.44607 134.79804

5 Trace(1) 157.52121 163.66453 175.65587


1 Lambda(1) 27.39080 30.39381 37.00868

2 Lambda(1) 36.94256 39.85131 46.83030

3 Lambda(1) 44.71073 47.92928 55.12456

4 Lambda(1) 52.26989 55.37120 61.67696

5 Lambda(1) 58.92660 62.26346 68.95451


*** Cum. Freq = 5, p = 1,..,5

1 Trace(1) 32.16119 35.78632 42.40788

2 Trace(1) 61.68281 67.11283 75.66266

3 Trace(1) 95.77715 102.21303 112.73999

4 Trace(1) 136.06876 142.35412 154.52721

5 Trace(1) 180.00363 187.47393 200.70320


1 Lambda(1) 32.16119 35.78632 42.40788

2 Lambda(1) 42.79385 45.91888 52.69526

3 Lambda(1) 50.98125 54.41220 61.03765

4 Lambda(1) 58.50244 61.89791 69.65860

5 Lambda(1) 65.21567 69.00940 77.17664

*************************************************************

Cumulative Frequencies: Constant model (More Detailed CV)

m=2

p=1

90% 95% 99%

Trace(1) 17.12811 19.73892 25.14218

Lambda(1) 17.12811 19.73892 25.14218


p=2 90% 95% 99%

Trace(1) 34.36713 37.92253 44.95216

Trace(2) 11.88054 13.58709 17.10884


Lambda(1) 25.28195 27.76404 33.42090

Lambda(2) 11.88054 13.58709 17.10884


p=3

90% 95% 99%

Trace(1) 55.85528 59.84259 66.57540

Trace(2) 26.56250 29.00955 33.62054

Trace(3) 9.36352 10.69029 13.48281


Lambda(1) 32.36538 35.04145 40.43070

Lambda(2) 19.33065 21.04448 24.05917

Lambda(3) 9.36352 10.69029 13.48281


p=4

90% 95% 99%

Trace(1) 82.06625 86.58413 95.98911

Trace(2) 46.03586 49.00198 55.55645

Trace(3) 22.66622 24.90186 29.16405

Trace(4) 7.96154 9.24996 11.73232


Lambda(1) 38.92353 41.93187 48.12253

Lambda(2) 25.57566 27.24419 30.74738

Lambda(3) 16.91761 18.17204 20.79118

Lambda(4) 7.96154 9.24996 11.73232


p=5

90% 95% 99%

Trace(1) 111.93068 117.05128 127.34426

Trace(2) 70.09038 73.59734 81.40278

Trace(3) 40.94463 43.58222 49.53281

Trace(4) 20.48407 22.41528 26.64427

Trace(5) 6.93912 8.17381 10.59678


Lambda(1) 45.36670 48.45197 54.53528

Lambda(2) 31.28025 33.30194 36.82992

Lambda(3) 22.40729 23.86270 26.88708

Lambda(4) 15.46105 16.69110 18.89242

Lambda(5) 6.93912 8.17381 10.59678


m=3

p=1

90% 95% 99%

Trace(1) 22.42492 25.34511 30.84669

Lambda(1) 22.42492 25.34511 30.84669


p=2

90% 95% 99%

Trace(1) 43.47643 47.78119 55.33764

Trace(2) 15.87391 18.03544 22.01812


Lambda(1) 31.12968 33.83060 39.68737

Lambda(2) 15.87391 18.03544 22.01812


p=3

90% 95% 99%

Trace(1) 69.01807 73.55901 82.09909

Trace(2) 34.22252 37.12264 43.38437

Trace(3) 12.67610 14.32055 17.82766


Lambda(1) 38.33113 41.42773 47.96842

Lambda(2) 24.53144 26.33608 29.89822

Lambda(3) 12.67610 14.32055 17.82766


p=4

90% 95% 99%

Trace(1) 99.43460 104.83568 115.13299

Trace(2) 57.70098 61.56773 68.61834

Trace(3) 29.43121 31.93840 37.18965

Trace(4) 10.46882 12.32522 15.35113


Lambda(1) 45.27037 48.46413 55.38000

Lambda(2) 30.93104 32.99551 37.29343

Lambda(3) 21.60545 23.19289 26.30534

Lambda(4) 10.46882 12.32522 15.35113


p=5

90% 95% 99%

Trace(1) 134.49878 140.70307 151.77835

Trace(2) 86.45027 90.62615 98.38440

Trace(3) 52.11184 55.01072 60.77090

Trace(4) 26.61728 28.86737 33.15607

Trace(5) 9.11753 10.86034 13.84340


Lambda(1) 52.09768 55.34988 62.31783

Lambda(2) 37.32360 39.52608 43.40798

Lambda(3) 27.56091 29.18899 32.50518

Lambda(4) 19.82723 21.18311 23.95232

Lambda(5) 9.11753 10.86034 13.84340