Preference Ratings for Automobiles Manufactured in 1980
Multidimensional Preference (MDPREF) Analysis
Optimal Monotonic Transformation of Preference Data

The PRINQUAL Procedure

PRINQUAL MTV Algorithm Iteration History
Iteration
Number		 Average
Change		 Maximum
Change		 Proportion
of Variance		 Criterion
Change		 Note
1 0.24994 1.28017 0.66946    
2 0.07223 0.36958 0.80194 0.13249  
3 0.04522 0.29026 0.81598 0.01404  
4 0.03096 0.25213 0.82178 0.00580  
5 0.02182 0.23045 0.82493 0.00315  
6 0.01602 0.19017 0.82680 0.00187  
7 0.01219 0.14748 0.82793 0.00113  
8 0.00953 0.11031 0.82861 0.00068  
9 0.00737 0.06461 0.82904 0.00043  
10 0.00556 0.04469 0.82930 0.00026  
11 0.00445 0.04087 0.82944 0.00014  
12 0.00381 0.03706 0.82955 0.00011  
13 0.00319 0.03348 0.82965 0.00009  
14 0.00255 0.02999 0.82971 0.00006  
15 0.00213 0.02824 0.82976 0.00005  
16 0.00183 0.02646 0.82980 0.00004  
17 0.00159 0.02472 0.82983 0.00003  
18 0.00139 0.02305 0.82985 0.00003  
19 0.00123 0.02145 0.82988 0.00002  
20 0.00109 0.01993 0.82989 0.00002  
21 0.00096 0.01850 0.82991 0.00001  
22 0.00086 0.01715 0.82992 0.00001  
23 0.00076 0.01588 0.82993 0.00001  
24 0.00067 0.01440 0.82994 0.00001  
25 0.00059 0.00871 0.82994 0.00001  
26 0.00050 0.00720 0.82995 0.00000  
27 0.00043 0.00642 0.82995 0.00000  
28 0.00037 0.00573 0.82995 0.00000  
29 0.00031 0.00510 0.82995 0.00000  
30 0.00027 0.00454 0.82995 0.00000  
31 0.00023 0.00404 0.82995 0.00000  
32 0.00020 0.00359 0.82996 0.00000  
33 0.00017 0.00319 0.82996 0.00000  
34 0.00015 0.00283 0.82996 0.00000  
35 0.00013 0.00252 0.82996 0.00000  
36 0.00012 0.00224 0.82996 0.00000  
37 0.00010 0.00199 0.82996 0.00000  
38 0.00009 0.00176 0.82996 0.00000  
39 0.00008 0.00156 0.82996 0.00000  
40 0.00007 0.00139 0.82996 0.00000  
41 0.00006 0.00123 0.82996 0.00000  
42 0.00005 0.00109 0.82996 0.00000  
43 0.00005 0.00097 0.82996 0.00000  
44 0.00004 0.00086 0.82996 0.00000  
45 0.00004 0.00076 0.82996 0.00000  
46 0.00003 0.00068 0.82996 0.00000  
47 0.00003 0.00060 0.82996 0.00000  
48 0.00003 0.00053 0.82996 0.00000  
49 0.00002 0.00047 0.82996 0.00000  
50 0.00002 0.00042 0.82996 0.00000  
51 0.00002 0.00037 0.82996 0.00000  
52 0.00002 0.00033 0.82996 0.00000  
53 0.00001 0.00029 0.82996 0.00000  
54 0.00001 0.00026 0.82996 0.00000  
55 0.00001 0.00023 0.82996 0.00000  
56 0.00001 0.00020 0.82996 0.00000 Converged

Algorithm converged.


Preference Ratings for Automobiles Manufactured in 1980
Multidimensional Preference (MDPREF) Analysis
Optimal Monotonic Transformation of Preference Data

The PRINQUAL Procedure

Component 2 (36.7%) = 2.1805 Component 1 (46.29%) = -1.038 Vector = 25 Actual Component 2 = 0.8722 Actual Component 1 = -0.415 Length = 0.9659 Squared Length = 0.933 Component 2 (36.7%) = 2.1805 Component 1 (46.29%) = -1.038 Vector = 25 Actual Component 2 = 0.8722 Actual Component 1 = -0.415 Length = 0.9659 Squared Length = 0.933 Component 2 (36.7%) = 2.1805 Component 1 (46.29%) = -1.038 Vector = 25 Actual Component 2 = 0.8722 Actual Component 1 = -0.415 Length = 0.9659 Squared Length = 0.933 Component 2 (36.7%) = -1.805 Component 1 (46.29%) = -0.604 Vector = 24 Actual Component 2 = -0.722 Actual Component 1 = -0.242 Length = 0.7613 Squared Length = 0.5796 Component 2 (36.7%) = -1.805 Component 1 (46.29%) = -0.604 Vector = 24 Actual Component 2 = -0.722 Actual Component 1 = -0.242 Length = 0.7613 Squared Length = 0.5796 Component 2 (36.7%) = -1.805 Component 1 (46.29%) = -0.604 Vector = 24 Actual Component 2 = -0.722 Actual Component 1 = -0.242 Length = 0.7613 Squared Length = 0.5796 Component 2 (36.7%) = 1.7709 Component 1 (46.29%) = -1.369 Vector = 23 Actual Component 2 = 0.7084 Actual Component 1 = -0.547 Length = 0.8953 Squared Length = 0.8015 Component 2 (36.7%) = 1.7709 Component 1 (46.29%) = -1.369 Vector = 23 Actual Component 2 = 0.7084 Actual Component 1 = -0.547 Length = 0.8953 Squared Length = 0.8015 Component 2 (36.7%) = 1.7709 Component 1 (46.29%) = -1.369 Vector = 23 Actual Component 2 = 0.7084 Actual Component 1 = -0.547 Length = 0.8953 Squared Length = 0.8015 Component 2 (36.7%) = -2.198 Component 1 (46.29%) = 0.9671 Vector = 22 Actual Component 2 = -0.879 Actual Component 1 = 0.3868 Length = 0.9604 Squared Length = 0.9223 Component 2 (36.7%) = -2.198 Component 1 (46.29%) = 0.9671 Vector = 22 Actual Component 2 = -0.879 Actual Component 1 = 0.3868 Length = 0.9604 Squared Length = 0.9223 Component 2 (36.7%) = -2.198 Component 1 (46.29%) = 0.9671 Vector = 22 Actual Component 2 = -0.879 Actual Component 1 = 0.3868 Length = 0.9604 Squared Length = 0.9223 Component 2 (36.7%) = 1.9449 Component 1 (46.29%) = -0.394 Vector = 21 Actual Component 2 = 0.778 Actual Component 1 = -0.158 Length = 0.7938 Squared Length = 0.63 Component 2 (36.7%) = 1.9449 Component 1 (46.29%) = -0.394 Vector = 21 Actual Component 2 = 0.778 Actual Component 1 = -0.158 Length = 0.7938 Squared Length = 0.63 Component 2 (36.7%) = 1.9449 Component 1 (46.29%) = -0.394 Vector = 21 Actual Component 2 = 0.778 Actual Component 1 = -0.158 Length = 0.7938 Squared Length = 0.63 Component 2 (36.7%) = -2.109 Component 1 (46.29%) = 1.296 Vector = 20 Actual Component 2 = -0.843 Actual Component 1 = 0.5184 Length = 0.99 Squared Length = 0.9802 Component 2 (36.7%) = -2.109 Component 1 (46.29%) = 1.296 Vector = 20 Actual Component 2 = -0.843 Actual Component 1 = 0.5184 Length = 0.99 Squared Length = 0.9802 Component 2 (36.7%) = -2.109 Component 1 (46.29%) = 1.296 Vector = 20 Actual Component 2 = -0.843 Actual Component 1 = 0.5184 Length = 0.99 Squared Length = 0.9802 Component 2 (36.7%) = 0.5064 Component 1 (46.29%) = 2.3042 Vector = 19 Actual Component 2 = 0.2026 Actual Component 1 = 0.9217 Length = 0.9437 Squared Length = 0.8905 Component 2 (36.7%) = 0.5064 Component 1 (46.29%) = 2.3042 Vector = 19 Actual Component 2 = 0.2026 Actual Component 1 = 0.9217 Length = 0.9437 Squared Length = 0.8905 Component 2 (36.7%) = 0.5064 Component 1 (46.29%) = 2.3042 Vector = 19 Actual Component 2 = 0.2026 Actual Component 1 = 0.9217 Length = 0.9437 Squared Length = 0.8905 Component 2 (36.7%) = 1.3716 Component 1 (46.29%) = 1.9081 Vector = 18 Actual Component 2 = 0.5486 Actual Component 1 = 0.7632 Length = 0.94 Squared Length = 0.8836 Component 2 (36.7%) = 1.3716 Component 1 (46.29%) = 1.9081 Vector = 18 Actual Component 2 = 0.5486 Actual Component 1 = 0.7632 Length = 0.94 Squared Length = 0.8836 Component 2 (36.7%) = 1.3716 Component 1 (46.29%) = 1.9081 Vector = 18 Actual Component 2 = 0.5486 Actual Component 1 = 0.7632 Length = 0.94 Squared Length = 0.8836 Component 2 (36.7%) = 2.0095 Component 1 (46.29%) = 0.5074 Vector = 17 Actual Component 2 = 0.8038 Actual Component 1 = 0.203 Length = 0.829 Squared Length = 0.6873 Component 2 (36.7%) = 2.0095 Component 1 (46.29%) = 0.5074 Vector = 17 Actual Component 2 = 0.8038 Actual Component 1 = 0.203 Length = 0.829 Squared Length = 0.6873 Component 2 (36.7%) = 2.0095 Component 1 (46.29%) = 0.5074 Vector = 17 Actual Component 2 = 0.8038 Actual Component 1 = 0.203 Length = 0.829 Squared Length = 0.6873 Component 2 (36.7%) = 2.3546 Component 1 (46.29%) = -0.77 Vector = 16 Actual Component 2 = 0.9418 Actual Component 1 = -0.308 Length = 0.9909 Squared Length = 0.9819 Component 2 (36.7%) = 2.3546 Component 1 (46.29%) = -0.77 Vector = 16 Actual Component 2 = 0.9418 Actual Component 1 = -0.308 Length = 0.9909 Squared Length = 0.9819 Component 2 (36.7%) = 2.3546 Component 1 (46.29%) = -0.77 Vector = 16 Actual Component 2 = 0.9418 Actual Component 1 = -0.308 Length = 0.9909 Squared Length = 0.9819 Component 2 (36.7%) = 0.2417 Component 1 (46.29%) = 2.3596 Vector = 15 Actual Component 2 = 0.0967 Actual Component 1 = 0.9438 Length = 0.9488 Squared Length = 0.9002 Component 2 (36.7%) = 0.2417 Component 1 (46.29%) = 2.3596 Vector = 15 Actual Component 2 = 0.0967 Actual Component 1 = 0.9438 Length = 0.9488 Squared Length = 0.9002 Component 2 (36.7%) = 0.2417 Component 1 (46.29%) = 2.3596 Vector = 15 Actual Component 2 = 0.0967 Actual Component 1 = 0.9438 Length = 0.9488 Squared Length = 0.9002 Component 2 (36.7%) = 0.3049 Component 1 (46.29%) = 2.4029 Vector = 14 Actual Component 2 = 0.122 Actual Component 1 = 0.9612 Length = 0.9689 Squared Length = 0.9387 Component 2 (36.7%) = 0.3049 Component 1 (46.29%) = 2.4029 Vector = 14 Actual Component 2 = 0.122 Actual Component 1 = 0.9612 Length = 0.9689 Squared Length = 0.9387 Component 2 (36.7%) = 0.3049 Component 1 (46.29%) = 2.4029 Vector = 14 Actual Component 2 = 0.122 Actual Component 1 = 0.9612 Length = 0.9689 Squared Length = 0.9387 Component 2 (36.7%) = 0.0031 Component 1 (46.29%) = 2.4399 Vector = 13 Actual Component 2 = 0.0012 Actual Component 1 = 0.9759 Length = 0.9759 Squared Length = 0.9525 Component 2 (36.7%) = 0.0031 Component 1 (46.29%) = 2.4399 Vector = 13 Actual Component 2 = 0.0012 Actual Component 1 = 0.9759 Length = 0.9759 Squared Length = 0.9525 Component 2 (36.7%) = 0.0031 Component 1 (46.29%) = 2.4399 Vector = 13 Actual Component 2 = 0.0012 Actual Component 1 = 0.9759 Length = 0.9759 Squared Length = 0.9525 Component 2 (36.7%) = 0.2435 Component 1 (46.29%) = 2.3922 Vector = 12 Actual Component 2 = 0.0974 Actual Component 1 = 0.9569 Length = 0.9618 Squared Length = 0.9251 Component 2 (36.7%) = 0.2435 Component 1 (46.29%) = 2.3922 Vector = 12 Actual Component 2 = 0.0974 Actual Component 1 = 0.9569 Length = 0.9618 Squared Length = 0.9251 Component 2 (36.7%) = 0.2435 Component 1 (46.29%) = 2.3922 Vector = 12 Actual Component 2 = 0.0974 Actual Component 1 = 0.9569 Length = 0.9618 Squared Length = 0.9251 Component 2 (36.7%) = 0.7659 Component 1 (46.29%) = 2.2517 Vector = 11 Actual Component 2 = 0.3064 Actual Component 1 = 0.9007 Length = 0.9514 Squared Length = 0.9051 Component 2 (36.7%) = 0.7659 Component 1 (46.29%) = 2.2517 Vector = 11 Actual Component 2 = 0.3064 Actual Component 1 = 0.9007 Length = 0.9514 Squared Length = 0.9051 Component 2 (36.7%) = 0.7659 Component 1 (46.29%) = 2.2517 Vector = 11 Actual Component 2 = 0.3064 Actual Component 1 = 0.9007 Length = 0.9514 Squared Length = 0.9051 Component 2 (36.7%) = -1.264 Component 1 (46.29%) = 2.1312 Vector = 10 Actual Component 2 = -0.506 Actual Component 1 = 0.8525 Length = 0.9912 Squared Length = 0.9825 Component 2 (36.7%) = -1.264 Component 1 (46.29%) = 2.1312 Vector = 10 Actual Component 2 = -0.506 Actual Component 1 = 0.8525 Length = 0.9912 Squared Length = 0.9825 Component 2 (36.7%) = -1.264 Component 1 (46.29%) = 2.1312 Vector = 10 Actual Component 2 = -0.506 Actual Component 1 = 0.8525 Length = 0.9912 Squared Length = 0.9825 Component 2 (36.7%) = 2.0806 Component 1 (46.29%) = -1.238 Vector = 9 Actual Component 2 = 0.8322 Actual Component 1 = -0.495 Length = 0.9685 Squared Length = 0.938 Component 2 (36.7%) = 2.0806 Component 1 (46.29%) = -1.238 Vector = 9 Actual Component 2 = 0.8322 Actual Component 1 = -0.495 Length = 0.9685 Squared Length = 0.938 Component 2 (36.7%) = 2.0806 Component 1 (46.29%) = -1.238 Vector = 9 Actual Component 2 = 0.8322 Actual Component 1 = -0.495 Length = 0.9685 Squared Length = 0.938 Component 2 (36.7%) = 0.5068 Component 1 (46.29%) = 1.7401 Vector = 8 Actual Component 2 = 0.2027 Actual Component 1 = 0.696 Length = 0.725 Squared Length = 0.5256 Component 2 (36.7%) = 0.5068 Component 1 (46.29%) = 1.7401 Vector = 8 Actual Component 2 = 0.2027 Actual Component 1 = 0.696 Length = 0.725 Squared Length = 0.5256 Component 2 (36.7%) = 0.5068 Component 1 (46.29%) = 1.7401 Vector = 8 Actual Component 2 = 0.2027 Actual Component 1 = 0.696 Length = 0.725 Squared Length = 0.5256 Component 2 (36.7%) = -0.164 Component 1 (46.29%) = 2.1466 Vector = 7 Actual Component 2 = -0.066 Actual Component 1 = 0.8587 Length = 0.8612 Squared Length = 0.7416 Component 2 (36.7%) = -0.164 Component 1 (46.29%) = 2.1466 Vector = 7 Actual Component 2 = -0.066 Actual Component 1 = 0.8587 Length = 0.8612 Squared Length = 0.7416 Component 2 (36.7%) = -0.164 Component 1 (46.29%) = 2.1466 Vector = 7 Actual Component 2 = -0.066 Actual Component 1 = 0.8587 Length = 0.8612 Squared Length = 0.7416 Component 2 (36.7%) = 1.7668 Component 1 (46.29%) = 0.665 Vector = 6 Actual Component 2 = 0.7067 Actual Component 1 = 0.266 Length = 0.7551 Squared Length = 0.5702 Component 2 (36.7%) = 1.7668 Component 1 (46.29%) = 0.665 Vector = 6 Actual Component 2 = 0.7067 Actual Component 1 = 0.266 Length = 0.7551 Squared Length = 0.5702 Component 2 (36.7%) = 1.7668 Component 1 (46.29%) = 0.665 Vector = 6 Actual Component 2 = 0.7067 Actual Component 1 = 0.266 Length = 0.7551 Squared Length = 0.5702 Component 2 (36.7%) = 2.2934 Component 1 (46.29%) = 0.876 Vector = 5 Actual Component 2 = 0.9173 Actual Component 1 = 0.3504 Length = 0.982 Squared Length = 0.9643 Component 2 (36.7%) = 2.2934 Component 1 (46.29%) = 0.876 Vector = 5 Actual Component 2 = 0.9173 Actual Component 1 = 0.3504 Length = 0.982 Squared Length = 0.9643 Component 2 (36.7%) = 2.2934 Component 1 (46.29%) = 0.876 Vector = 5 Actual Component 2 = 0.9173 Actual Component 1 = 0.3504 Length = 0.982 Squared Length = 0.9643 Component 2 (36.7%) = 1.439 Component 1 (46.29%) = 1.7266 Vector = 4 Actual Component 2 = 0.5756 Actual Component 1 = 0.6906 Length = 0.8991 Squared Length = 0.8083 Component 2 (36.7%) = 1.439 Component 1 (46.29%) = 1.7266 Vector = 4 Actual Component 2 = 0.5756 Actual Component 1 = 0.6906 Length = 0.8991 Squared Length = 0.8083 Component 2 (36.7%) = 1.439 Component 1 (46.29%) = 1.7266 Vector = 4 Actual Component 2 = 0.5756 Actual Component 1 = 0.6906 Length = 0.8991 Squared Length = 0.8083 Component 2 (36.7%) = 0.1206 Component 1 (46.29%) = 2.1299 Vector = 3 Actual Component 2 = 0.0482 Actual Component 1 = 0.852 Length = 0.8533 Squared Length = 0.7282 Component 2 (36.7%) = 0.1206 Component 1 (46.29%) = 2.1299 Vector = 3 Actual Component 2 = 0.0482 Actual Component 1 = 0.852 Length = 0.8533 Squared Length = 0.7282 Component 2 (36.7%) = 0.1206 Component 1 (46.29%) = 2.1299 Vector = 3 Actual Component 2 = 0.0482 Actual Component 1 = 0.852 Length = 0.8533 Squared Length = 0.7282 Component 2 (36.7%) = 0.3217 Component 1 (46.29%) = 2.4103 Vector = 2 Actual Component 2 = 0.1287 Actual Component 1 = 0.9641 Length = 0.9727 Squared Length = 0.9461 Component 2 (36.7%) = 0.3217 Component 1 (46.29%) = 2.4103 Vector = 2 Actual Component 2 = 0.1287 Actual Component 1 = 0.9641 Length = 0.9727 Squared Length = 0.9461 Component 2 (36.7%) = 0.3217 Component 1 (46.29%) = 2.4103 Vector = 2 Actual Component 2 = 0.1287 Actual Component 1 = 0.9641 Length = 0.9727 Squared Length = 0.9461 Component 2 (36.7%) = 1.9605 Component 1 (46.29%) = 0.3329 Vector = 1 Actual Component 2 = 0.7842 Actual Component 1 = 0.1331 Length = 0.7954 Squared Length = 0.6327 Component 2 (36.7%) = 1.9605 Component 1 (46.29%) = 0.3329 Vector = 1 Actual Component 2 = 0.7842 Actual Component 1 = 0.1331 Length = 0.7954 Squared Length = 0.6327 Component 2 (36.7%) = 1.9605 Component 1 (46.29%) = 0.3329 Vector = 1 Actual Component 2 = 0.7842 Actual Component 1 = 0.1331 Length = 0.7954 Squared Length = 0.6327 Component 2 (36.7%) = 0.9315 Component 1 (46.29%) = 2.4052 Model = DL Obs Number = 17 Component 2 (36.7%) = -0.128 Component 1 (46.29%) = 1.3015 Model = Rabbit Obs Number = 16 Component 2 (36.7%) = 0.2086 Component 1 (46.29%) = 1.0552 Model = Dasher Obs Number = 15 Component 2 (36.7%) = 0.369 Component 1 (46.29%) = -0.303 Model = Firebird Obs Number = 14 Component 2 (36.7%) = -0.63 Component 1 (46.29%) = -0.552 Model = Volare Obs Number = 13 Component 2 (36.7%) = -0.69 Component 1 (46.29%) = -0.508 Model = Horizon Obs Number = 12 Component 2 (36.7%) = -0.212 Component 1 (46.29%) = -0.563 Model = Gran Fury Obs Number = 11 Component 2 (36.7%) = 2.3188 Component 1 (46.29%) = -0.988 Model = Continental Obs Number = 10 Component 2 (36.7%) = -0.458 Component 1 (46.29%) = 0.8819 Model = Civic Obs Number = 9 Component 2 (36.7%) = 0.0444 Component 1 (46.29%) = 1.3846 Model = Accord Obs Number = 8 Component 2 (36.7%) = -0.817 Component 1 (46.29%) = -0.703 Model = Pinto Obs Number = 7 Component 2 (36.7%) = -0.488 Component 1 (46.29%) = -0.328 Model = Mustang Obs Number = 6 Component 2 (36.7%) = -0.732 Component 1 (46.29%) = -0.487 Model = Fairmont Obs Number = 5 Component 2 (36.7%) = -0.557 Component 1 (46.29%) = -0.534 Model = Malibu Obs Number = 4 Component 2 (36.7%) = -0.721 Component 1 (46.29%) = -0.44 Model = Citation Obs Number = 3 Component 2 (36.7%) = -0.791 Component 1 (46.29%) = -0.555 Model = Chevette Obs Number = 2 Component 2 (36.7%) = 2.3521 Component 1 (46.29%) = -1.068 Model = Eldorado Obs Number = 1
Multidimensional Preference Analysis Components 2 and 1