Board Stiffness Measurements (Table 4.3)

Obs X1 X2 X3 X4
1 1889 1651 1561 1778
2 2403 2048 2087 2197
3 2119 1700 1815 2222
4 1645 1627 1110 1533
5 1976 1916 1614 1883
6 1712 1712 1439 1546
7 1943 1685 1271 1671
8 2104 1820 1717 1874
9 2983 2794 2412 2581
10 1745 1600 1384 1508
11 1710 1591 1518 1667
12 2046 1907 1627 1898
13 1840 1841 1595 1741
14 1867 1685 1493 1678
15 1859 1649 1389 1714
16 1954 2149 1180 1281
17 1325 1170 1002 1176
18 1419 1371 1252 1308
19 1828 1634 1602 1755
20 1725 1594 1313 1646
21 2276 2189 1547 2111
22 1899 1614 1422 1477
23 1633 1513 1290 1516
24 2061 1867 1646 2037
25 1856 1493 1356 1533
26 1727 1412 1238 1469
27 2168 1896 1701 1834
28 1655 1675 1414 1597
29 2326 2301 2065 2234
30 1490 1382 1214 1284

Board Stiffness Measurements (Table 4.3)
Assessing Marginal Normality of x1 x2 x3 x4

The UNIVARIATE Procedure
Variable: X1

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.930677 Pr < W 0.0512
Kolmogorov-Smirnov D 0.11485 Pr > D >0.1500
Cramer-von Mises W-Sq 0.084638 Pr > W-Sq 0.1791
Anderson-Darling A-Sq 0.540409 Pr > A-Sq 0.1563

The UNIVARIATE Procedure
Variable: X1

Q-Q plot for X1

Board Stiffness Measurements (Table 4.3)
Assessing Marginal Normality of x1 x2 x3 x4

The UNIVARIATE Procedure
Variable: X2

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.912744 Pr < W 0.0175
Kolmogorov-Smirnov D 0.180222 Pr > D 0.0141
Cramer-von Mises W-Sq 0.160401 Pr > W-Sq 0.0175
Anderson-Darling A-Sq 0.874727 Pr > A-Sq 0.0226

The UNIVARIATE Procedure
Variable: X2

Q-Q plot for X2

Board Stiffness Measurements (Table 4.3)
Assessing Marginal Normality of x1 x2 x3 x4

The UNIVARIATE Procedure
Variable: X3

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.932577 Pr < W 0.0575
Kolmogorov-Smirnov D 0.125836 Pr > D >0.1500
Cramer-von Mises W-Sq 0.086811 Pr > W-Sq 0.1661
Anderson-Darling A-Sq 0.609371 Pr > A-Sq 0.1035

The UNIVARIATE Procedure
Variable: X3

Q-Q plot for X3

Board Stiffness Measurements (Table 4.3)
Assessing Marginal Normality of x1 x2 x3 x4

The UNIVARIATE Procedure
Variable: X4

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.961272 Pr < W 0.3337
Kolmogorov-Smirnov D 0.101426 Pr > D >0.1500
Cramer-von Mises W-Sq 0.06725 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.411431 Pr > A-Sq >0.2500

The UNIVARIATE Procedure
Variable: X4

Q-Q plot for X4

The UNIVARIATE Procedure
Variable: D2 (Squared Distance)

Q-Q plot for D2

Board Stiffness Measurements (Table 4.3)
Assessing Multivariate Normality of Boards for x1 x2 x3 x4
Principal Components with Largest and Smallest Eigenvalues

The UNIVARIATE Procedure
Variable: PC1

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.926565 Pr < W 0.0398
Kolmogorov-Smirnov D 0.136801 Pr > D >0.1500
Cramer-von Mises W-Sq 0.121712 Pr > W-Sq 0.0551
Anderson-Darling A-Sq 0.702188 Pr > A-Sq 0.0626

The UNIVARIATE Procedure
Variable: PC1

Q-Q plot for PC1

Board Stiffness Measurements (Table 4.3)
Assessing Multivariate Normality of Boards for x1 x2 x3 x4
Principal Components with Largest and Smallest Eigenvalues

The UNIVARIATE Procedure
Variable: PC4

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.961313 Pr < W 0.3345
Kolmogorov-Smirnov D 0.102161 Pr > D >0.1500
Cramer-von Mises W-Sq 0.051032 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.334581 Pr > A-Sq >0.2500

The UNIVARIATE Procedure
Variable: PC4

Q-Q plot for PC4

Board Stiffness Measurements (Table 4.3)

The CORR Procedure

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Board Stiffness Measurements (Table 4.3)

The PRINCOMP Procedure

Principal Components Scores Matrix Plot

Principal Components Scores Plot: 1st vs 2nd

Principal Components Scores Plot: 1st vs 3rd

Plot of PRIN2 * PRIN1 = PEEL

Plot of Prin2 * Prin1 = PEEL