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STAT 530/J530 B.Habing Univ. of S.C. (^1)
STAT 530/J
October 14 th^ , 2008
Instructor: Brian Habing Department of Statistics LeConte 203 Telephone: 803-777- E-mail: [email protected]
STAT 530/J530 B.Habing Univ. of S.C. (^2)
Rotations
Orthogonal rotations are those that keep the factors orthogonal (perpendictular)
Varimax – Maximizes the sum of the variances of the squared loadings within columns. This tends to force each variable to load highly on as few factors as possible.
STAT 530/J530 B.Habing Univ. of S.C. (^3)
Estimating Factor Scores
In addition to using the loadings to getting a feel for the underlying factor structure, it is often desired to assign each observation predicted factor scores.
STAT 530/J530 B.Habing Univ. of S.C. (^4)
Getting the F Values
Given the model X 1 =λ 11 F 1 +λ 12 F 2 +···+λ1k Fk+ u 1 X 2 =λ 21 F 1 +λ 22 F 2 +···+λ2k Fk+ u 2 ⋮ Xq =λq1 F 1 +λq2 F 2 +···+λqk Fk+ u q We can use either regression or maximum likelihood methods to estimate the factor values for each subject.
STAT 530/J530 B.Habing Univ. of S.C. (^5)
Problems
The formulas good properties are based on assuming a multivariate normal model holds.
The values depend a great deal on the particular sample being used.
STAT 530/J530 B.Habing Univ. of S.C. (^6)
Alternatives
Pick a representative item
Use the sum score
Using the data on page 73 of text…
**> subject<-c(1,0.44,0.41,0.29,0.33,0.25,1,0.35,0.35,0.32,0.33,1,0.16,0.19,
- 0.18,1,0.59,0.47,1,0.46,1)
subnames<-c("French","English","History","Arithmetic","Algebra","Geometry") subcor<-matrix(0,ncol=6,nrow=6) subcor[lower.tri(subcor,diag=T)]<-subject subcor<-subcor+t(subcor) diag(subcor)<-rep(1,6) subcor [,1] [,2] [,3] [,4] [,5] [,6] [1,] 1.00 0.44 0.41 0.29 0.33 0. [2,] 0.44 1.00 0.35 0.35 0.32 0. [3,] 0.41 0.35 1.00 0.16 0.19 0. [4,] 0.29 0.35 0.16 1.00 0.59 0. [5,] 0.33 0.32 0.19 0.59 1.00 0. [6,] 0.25 0.33 0.18 0.47 0.46 1.**
> fact(r=subcor) $eigen.values [1] 2.729 1.129 0.615 0.603 0.523 0.
$method [1] "iterated principal factor - no rotation"
$loadings Factor1 Factor [1,] 0.591 -0. [2,] 0.594 -0. [3,] 0.430 -0. [4,] 0.710 0. [5,] 0.696 0. [6,] 0.584 0.
$communalities [1] 0.490 0.408 0.355 0.621 0.558 0.
$importance Factor1 Factor variance explained 2.216 0. percent explained 0.369 0.
$residuals Min. 1st Qu. Median Mean 3rd Qu. Max. -0.030 -0.004 0.001 0.000 0.004 0.
> fact(r=subcor,rotation="varimax") $eigen.values [1] 2.729 1.129 0.615 0.603 0.523 0.
$method [1] "iterated principal factor - varimax rotation"
$loadings Factor1 Factor [1,] 0.231 0. [2,] 0.321 0. [3,] 0.082 0. [4,] 0.769 0. [5,] 0.714 0. [6,] 0.572 0.
$communalities [1] 0.490 0.408 0.355 0.621 0.558 0.
$importance Factor1 Factor variance explained 1.592 1. percent explained 0.265 0.
$residuals Min. 1st Qu. Median Mean 3rd Qu. Max. -0.030 -0.004 0.001 0.000 0.004 0.
> fact(bears,method="iter",rotation="varimax",maxfactors=2,niter=36) $eigen.values [1] 4.317 0.378 0.147 0.096 0.
$method [1] "iterated principal factor - varimax rotation"
$loadings Factor1 Factor Head.L 0.610 0. Head.W 0.711 0. Neck.G 0.840 0. Length 0.480 0. Chest.G 0.702 0.
$communalities Head.L Head.W Neck.G Length Chest.G 0.871 0.658 0.977 1.000 0.
$importance Factor1 Factor variance explained 2.307 2. percent explained 0.461 0.
$residuals Min. 1st Qu. Median Mean 3rd Qu. Max. -0.003 -0.001 0.000 0.000 0.001 0.
Warning message: Convergence not achieved, difference of 0.00113 after 36 iterations.
Excerpt from the ASI-
Most responses are coded 0 (less) to 4 (more).
2,142 respondants and 42 questions.
D1MONTH Number of days used alcohol in the past 30. D1LIFE Number of years used alcohol in your lifetime. D2MONTH Number of days used alcohol to intoxication/past 30. D2LIFE Number of years used alcohol to intoxication/lifetime. D3MONTH Number of days used heroin in the past 30. D3LIFE Number of years used heroin in your lifetime. D4MONTH Number of days used methadone in the past 30. D4LIFE Number of years used methadone in your lifetime. D5MONTH Number of days used opiates/analgesics in past 30. D5LIFE Number of years used opiates/analgesics in lifetime. D6MONTH Number of days used barbiturates in the past 30. D6LIFE Number of years used barbiturates in lifetime. D7MONTH Number of days used sedatives in the past 30. D7LIFE Number of years used sedatives in lifetime. D8MONTH Number of days used cocaine in the past 30. D8LIFE Number of years used cocaine in lifetime. D9MONTH Number of days used amphetamines in the past 30. D9LIFE Number of years used amphetamines in lifetime. D10MONTH Number of days used cannabis in the past 30. D10LIFE Number of years used cannabis in lifetime. D11MONTH Number of days used hallucinogens in the past 30. D11LIFE Number of years used hallucinogens in lifetime. D12MONTH Number of days used inhalants in the past 30. D12LIFE Number of years used inhalants in lifetime. D13MONTH More than 1 substance per day, past 30 days. D13LIFE Number of years used more than 1 substance per day in lifetime. D15. How long was your last period of voluntary abstinence (months)? D17. How many times have you had Alcohol DT's (LIFETIME)? D18. How many times have you overdosed on Drugs? D19. Number of times in your life treated for Alcohol Abuse D20. Number of times in your life treated for Drug Abuse D21. How many of these were detox only? - Alcohol Abuse D22. How many of these were detox only? - Drug Abuse D23. How much money spent on Alcohol, past 30 days D24. How much money spent on Drugs, past 30 days D25. Number of days treated as outpatient for alcohol or da, past 30 days D26. Number of days experienced alcohol problems, past 30 D27. Number of days experienced drug problems, past 30 days D28. Troubled or bothered by alcohol problems, past 30 days D29. Troubled or bothered by drug problems, past 30 days D30. How important is treatment for these alcohol problems? D31. How important is treatment for these drug problems?
$communalities D1M D1L D2M D2L D3M D3L D4M D4L D5M D5L D6M D6L 0.842 0.580 0.822 0.578 0.693 0.708 0.639 0.395 0.136 0.362 0.047 0. D7M D7L D8M D8L D9M D9L D10M D10L D11M D11L D12M D12L 0.211 0.367 0.682 0.618 0.006 0.239 0.234 0.366 0.016 0.135 0.004 0. D13M D13L D15 D17 D18 D19 D20 D21 D22 D23 D24 D 0.689 0.670 0.017 0.117 0.209 0.630 0.672 0.432 0.511 0.655 0.643 0. D26 D27 D28 D29 D30 D 0.597 0.607 0.620 0.702 0.622 0.
$importance Factor1 Factor2 Factor3 Factor4 Factor variance explained 7.299 3.715 3.366 2.660 1. percent explained 0.174 0.088 0.080 0.063 0.
$residuals Min. 1st Qu. Median Mean 3rd Qu. Max. -0.100 -0.022 -0.004 0.000 0.015 0.
fact(Ditems,maxfactors=11)
$importance Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor variance explained 7.425 3.837 3.493 2.774 1.600 1.009 0. percent explained 0.177 0.091 0.083 0.066 0.038 0.024 0. Factor8 Factor9 Factor10 Factor variance explained 0.677 0.635 0.427 0. percent explained 0.016 0.015 0.010 0.
$residuals Min. 1st Qu. Median Mean 3rd Qu. Max. -0.090 -0.008 -0.001 0.000 0.008 0.
> fact(Ditems,maxfactors=7)
fact(Ditems,maxfactors=7,rotation="varimax")
fact(D2,maxfactors=7,method="norm",rotation="varimax",dec=3)
f1<-factscore(D1,maxfactors=7,method="norm",rotation="varimax",dec=2)[1:10,] f2<-factscore(D2,set2=D1,maxfactors=7,method="norm",
- [1] 7.687 4.083 3.847 3.081 2.009 1.409 1.319 1.230 1.173 1.133 1. $eigen.values
- [12] 0.971 0.939 0.898 0.859 0.799 0.767 0.759 0.706 0.676 0.626 0.
- [23] 0.537 0.501 0.496 0.442 0.396 0.379 0.354 0.328 0.289 0.253 0.
- [34] 0.212 0.189 0.177 0.166 0.133 0.126 0.115 0.103 0. - Factor1 Factor2 Factor3 Factor4 Factor $loadings
- D1M -0.480 0.711 -0.204 -0.249 0.
- D1L -0.488 0.225 0.414 0.311 0.
- D2M -0.528 0.697 -0.119 -0.203 0.
- D2L -0.433 0.236 0.440 0.352 0.
- D3M 0.558 0.083 0.311 -0.522 -0.
- D3L 0.558 0.084 0.454 -0.426 -0.
- D4M 0.509 0.057 0.353 -0.501 -0.
- D4L 0.394 0.075 0.343 -0.342 0.
- D5M 0.234 0.121 0.157 -0.188 0.
- D5L 0.322 0.142 0.406 -0.087 0.
- D6M 0.105 0.068 0.140 -0.078 0.
- D6L 0.189 0.108 0.290 0.036 0.
- D7M 0.255 0.191 0.215 -0.217 0.
- D7L 0.292 0.185 0.383 -0.029 0.
- D8M 0.420 0.426 -0.546 0.152 -0.
- D8L 0.460 0.089 -0.190 0.602 0.
- D9M 0.015 0.046 -0.057 -0.005 0.
- D9L 0.155 0.163 0.307 0.207 0.
- D10M 0.168 0.315 -0.258 0.047 0.
- D10L 0.308 0.101 0.049 0.405 0.
- D11M 0.075 0.044 -0.035 -0.066 0.
- D11L 0.143 0.102 0.199 0.112 0.
- D12M 0.005 0.036 -0.036 -0.021 0.
- D12L 0.067 0.059 0.127 0.079 0.
- D13M 0.434 0.670 -0.188 -0.102 0.
- D13L 0.400 0.284 0.285 0.515 0.
- D15 0.043 0.080 0.010 0.050 -0.
- D17 -0.166 0.108 0.230 0.056 -0.
- D18 0.316 0.099 0.310 -0.030 -0.
- D19 -0.182 0.181 0.449 0.430 -0.
- D20 0.626 0.145 0.264 0.223 -0.
- D21 -0.116 0.199 0.379 0.227 -0.
- D22 0.481 0.175 0.332 -0.043 -0.
- D23 -0.517 0.585 -0.067 -0.204 0.
- D24 0.635 0.371 -0.304 -0.078 -0.
- D25 0.123 -0.433 0.435 0.248 -0.
- D26 -0.612 0.417 0.186 -0.001 -0.
- D27 0.667 0.300 -0.206 0.131 -0.
- D28 -0.627 0.421 0.191 0.021 -0.
- D29 0.698 0.283 -0.249 0.230 -0.
- D30 -0.631 0.430 0.163 0.031 -0.
- D31 0.690 0.271 -0.273 0.216 -0.
- Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor $loadings
- D1M -0.479 0.689 -0.257 -0.259 0.055 -0.035 0.
- D1L -0.495 0.258 0.409 0.309 0.161 -0.273 0.
- D2M -0.526 0.678 -0.170 -0.213 0.044 -0.038 0.
- D2L -0.438 0.270 0.432 0.348 0.138 -0.253 0.
- D3M 0.561 0.099 0.304 -0.535 -0.090 -0.245 -0.
- D3L 0.559 0.108 0.446 -0.436 -0.059 -0.201 -0.
- D4M 0.511 0.074 0.347 -0.512 -0.050 -0.228 -0.
- D4L 0.392 0.093 0.332 -0.345 -0.005 -0.100 -0.
- D5M 0.233 0.128 0.147 -0.191 0.073 0.095 0.
- D5L 0.325 0.170 0.405 -0.099 0.267 0.285 -0.
- D6M 0.105 0.076 0.135 -0.081 0.075 0.167 0.
- D6L 0.192 0.131 0.295 0.029 0.334 0.342 -0.
- D7M 0.255 0.202 0.200 -0.222 0.126 0.133 0.
- D7L 0.298 0.219 0.391 -0.041 0.350 0.385 -0.
- D8M 0.419 0.394 -0.569 0.155 -0.048 0.087 0.
- D8L 0.457 0.085 -0.184 0.596 0.032 -0.041 -0.
- D9M 0.015 0.042 -0.060 -0.005 0.008 0.020 -0.
- D9L 0.154 0.183 0.295 0.196 0.217 0.029 -0.
- D10M 0.168 0.298 -0.276 0.046 0.188 -0.036 0.
- D10L 0.308 0.110 0.048 0.402 0.298 -0.165 0.
- D11M 0.075 0.041 -0.038 -0.066 0.044 0.075 0.
- D11L 0.142 0.114 0.192 0.105 0.219 0.089 -0.
- D12M 0.005 0.033 -0.038 -0.021 0.032 -0.001 0.
- D12L 0.067 0.067 0.122 0.074 0.084 0.044 -0.
- D13M 0.435 0.661 -0.233 -0.110 0.074 -0.089 0.
- D13L 0.404 0.317 0.281 0.525 0.302 -0.300 0.
- D15 0.042 0.080 0.006 0.049 -0.078 0.040 0.
- D17 -0.166 0.122 0.220 0.050 -0.147 0.058 0.
- D18 0.314 0.118 0.300 -0.036 -0.048 0.008 -0.
- D19 -0.185 0.217 0.446 0.429 -0.434 0.165 0.
- D20 0.620 0.164 0.254 0.215 -0.359 0.022 0.
- D21 -0.120 0.235 0.385 0.235 -0.480 0.218 0.
- D22 0.478 0.194 0.317 -0.048 -0.367 0.023 0.
- D23 -0.515 0.570 -0.111 -0.213 0.012 0.018 0.
- D24 0.633 0.350 -0.325 -0.077 -0.061 0.050 0.
- D25 0.122 -0.400 0.465 0.248 -0.042 -0.100 -0.
- D26 -0.621 0.439 0.157 -0.014 -0.116 -0.002 -0.
- D27 0.669 0.294 -0.225 0.133 -0.116 -0.040 -0.
- D28 -0.640 0.450 0.165 0.008 -0.114 0.007 -0.
- D29 0.704 0.279 -0.269 0.238 -0.144 0.001 -0.
- D30 -0.642 0.454 0.134 0.019 -0.109 -0.008 -0.
- D31 0.696 0.265 -0.292 0.223 -0.128 0.004 -0. - Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor $importance
- variance explained 7.365 3.769 3.432 2.715 1.532 0.952 0.
- percent explained 0.175 0.090 0.082 0.065 0.036 0.023 0.
- Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor $loadings
- D1M -0.124 -0.625 -0.057 -0.665 -0.094 -0.048 0.
- D1L -0.388 -0.398 -0.129 0.022 0.005 0.569 0.
- D2M -0.149 -0.679 -0.071 -0.570 -0.072 -0.011 0.
- D2L -0.328 -0.385 -0.119 0.055 0.036 0.580 0.
- D3M 0.098 0.124 0.855 -0.012 0.089 -0.055 -0.
- D3L 0.076 0.109 0.833 0.074 0.199 0.031 0.
- D4M 0.041 0.112 0.818 0.019 0.123 -0.032 -0.
- D4L 0.035 0.061 0.597 0.038 0.198 -0.004 -0.
- D5M 0.029 0.050 0.265 -0.100 0.244 -0.046 0.
- D5L 0.032 0.036 0.262 0.028 0.623 0.047 0.
- D6M -0.031 0.037 0.094 -0.061 0.241 -0.044 0.
- D6L 0.002 0.031 0.032 0.003 0.604 0.066 0.
- D7M 0.038 -0.001 0.305 -0.120 0.344 -0.037 0.
- D7L 0.047 0.006 0.162 -0.006 0.730 0.055 0.
- D8M 0.621 0.157 -0.096 -0.533 -0.038 -0.017 0.
- D8L 0.574 0.293 -0.203 0.006 0.050 0.376 0.
- D9M 0.045 -0.010 -0.018 -0.055 0.004 -0.020 -0.
- D9L 0.068 -0.040 0.061 0.055 0.344 0.311 0.
- D10M 0.214 0.042 -0.034 -0.424 0.048 0.134 -0.
- D10L 0.237 0.187 -0.049 -0.039 0.171 0.510 -0.
- D11M 0.041 0.030 0.031 -0.077 0.082 -0.062 -0.
- D11L 0.050 0.006 0.032 0.018 0.321 0.179 -0.
- D12M -0.006 0.012 -0.001 -0.078 0.003 0.003 -0.
- D12L 0.040 -0.022 0.018 0.042 0.162 0.098 0.
- D13M 0.437 -0.048 0.311 -0.646 0.114 0.147 0.
- D13L 0.302 0.093 0.108 -0.019 0.256 0.787 0.
- D15 0.081 -0.018 0.005 -0.022 0.014 -0.001 0.
- D17 -0.101 -0.194 0.008 0.075 0.038 0.023 0.
- D18 0.133 0.036 0.326 0.103 0.220 0.084 0.
- D19 -0.041 -0.189 -0.111 0.194 0.055 0.182 0.
- D20 0.473 0.236 0.355 0.131 0.124 0.135 0.
- D21 -0.074 -0.119 0.005 0.046 0.047 0.026 0.
- D22 0.255 0.132 0.483 0.042 0.110 0.004 0.
- D23 -0.185 -0.620 -0.074 -0.466 -0.047 -0.064 0.
- D24 0.582 0.225 0.263 -0.425 0.085 -0.063 0.
- D25 -0.112 0.224 0.082 0.580 0.072 0.234 0.
- D26 -0.133 -0.820 -0.127 0.046 -0.025 0.005 0.
- D27 0.768 0.117 0.226 -0.088 0.073 0.065 -0.
- D28 -0.115 -0.859 -0.149 0.077 -0.014 0.009 0.
- D29 0.868 0.139 0.145 -0.040 0.076 0.070 -0.
- D30 -0.114 -0.843 -0.164 0.045 -0.036 0.022 0.
- D31 0.855 0.150 0.134 -0.054 0.070 0.056 -0. - Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor $importance
- variance explained 4.265 4.195 3.641 2.54 2.123 2.021 1.
- percent explained 0.102 0.100 0.087 0.06 0.051 0.048 0.
- Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor $loadings
- D1M -0.028 -0.069 0.947 -0.206 -0.058 0.068 0.
- D1L -0.248 -0.161 0.146 -0.214 0.036 0.831 0.
- D2M -0.080 -0.074 0.884 -0.292 -0.035 0.114 0.
- D2L -0.193 -0.141 0.094 -0.228 0.062 0.831 0.
- D3M 0.071 0.867 -0.037 0.090 0.074 -0.067 -0.
- D3L 0.038 0.848 -0.105 0.047 0.214 -0.003 -0.
- D4M 0.006 0.799 -0.035 0.093 0.128 -0.043 -0.
- D4L 0.011 0.551 -0.035 0.041 0.165 -0.018 -0.
- D5M 0.052 0.191 0.010 0.053 0.223 -0.073 -0.
- D5L 0.055 0.243 -0.042 0.013 0.594 -0.005 0.
- D6M -0.042 0.082 0.014 0.033 0.255 -0.022 0.
- D6L -0.005 0.080 -0.019 0.050 0.616 -0.036 0.
- D7M 0.049 0.222 0.070 -0.012 0.309 -0.049 0.
- D7L 0.045 0.079 -0.027 -0.045 0.708 0.009 0.
- D8M 0.689 -0.075 0.259 0.214 -0.026 -0.148 -0.
- D8L 0.661 -0.220 -0.199 0.181 0.122 0.077 0.
- D9M 0.065 -0.025 0.015 0.009 -0.015 -0.064 -0.
- D9L 0.085 0.058 -0.040 -0.005 0.414 0.173 0.
- D10M 0.294 -0.028 0.218 0.075 0.098 0.009 -0.
- D10L 0.357 -0.044 -0.126 0.077 0.273 0.239 -0.
- D11M 0.006 0.024 0.021 -0.002 0.120 -0.112 -0.
- D11L 0.037 0.016 -0.033 0.012 0.377 0.070 0.
- D12M 0.046 -0.009 0.033 0.033 0.001 -0.030 -0.
- D12L 0.057 -0.004 -0.026 -0.026 0.231 0.031 0.
- D13M 0.547 0.297 0.444 0.088 0.146 0.022 0.
- D13L 0.423 0.103 -0.116 0.019 0.385 0.478 0.
- D15 0.112 -0.027 0.009 -0.044 0.030 -0.033 0.
- D17 -0.125 0.015 0.044 -0.171 0.039 0.097 0.
- D18 0.125 0.349 -0.079 -0.023 0.245 0.027 0.
- D19 -0.073 -0.112 -0.084 -0.195 0.088 0.232 0.
- D20 0.466 0.348 -0.213 0.121 0.183 -0.018 0.
- D21 -0.062 0.013 0.056 -0.062 0.037 0.099 0.
- D22 0.240 0.466 -0.050 0.107 0.126 -0.039 0.
- D23 -0.137 -0.065 0.745 -0.313 -0.046 0.059 0.
- D24 0.636 0.272 0.158 0.225 0.046 -0.172 -0.
- D25 -0.179 0.074 -0.572 0.024 0.103 0.192 0.
- D26 -0.218 -0.126 0.323 -0.716 -0.027 0.144 0.
- D27 0.777 0.248 -0.085 0.033 0.053 -0.056 -0.
- D28 -0.217 -0.155 0.275 -0.801 -0.014 0.134 0.
- D29 0.871 0.176 -0.125 0.012 0.051 -0.084 -0.
- D30 -0.165 -0.159 0.337 -0.769 -0.036 0.133 0.
- D31 0.865 0.145 -0.115 0.028 0.057 -0.118 -0.
- Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor $loadings
- D1M -0.093 -0.026 -0.905 -0.323 -0.121 0.009 -0.
- D1L -0.122 -0.283 -0.146 -0.196 0.234 0.118 -0.
- D2M -0.109 -0.051 -0.836 -0.398 -0.097 0.051 -0.
- D2L -0.112 -0.225 -0.095 -0.206 0.247 0.170 -0.
- D3M 0.861 0.137 0.074 0.113 -0.095 -0.059 0.
- D3L 0.842 0.082 0.084 0.109 0.036 0.041 0.
- D4M 0.828 0.080 0.067 0.093 -0.048 -0.063 0.
- D4L 0.679 0.038 0.046 0.053 0.050 0.006 0.
- D5M 0.354 0.046 -0.049 0.042 0.076 0.041 0.
- D5L 0.422 0.013 0.059 0.008 0.241 0.061 -0.
- D6M 0.168 -0.004 -0.015 0.013 0.037 0.061 0.
- D6L 0.173 0.000 0.022 -0.019 0.277 0.005 -0.
- D7M 0.448 0.079 -0.013 -0.003 0.105 -0.064 -0.
- D7L 0.410 0.057 0.033 0.002 0.279 0.033 -0.
- D8M -0.118 0.673 -0.294 0.192 0.098 0.008 0.
- D8L -0.187 0.477 0.153 0.197 0.540 0.104 0.
- D9M -0.008 0.006 -0.029 -0.076 0.063 0.006 0.
- D9L 0.157 0.030 0.039 -0.074 0.387 0.064 -0.
- D10M -0.032 0.241 -0.312 0.057 0.244 -0.086 0.
- D10L -0.013 0.126 0.053 0.123 0.659 0.006 0.
- D11M 0.048 0.076 -0.031 0.015 -0.004 -0.041 0.
- D11L 0.125 0.033 0.012 -0.019 0.278 -0.002 -0.
- D12M 0.001 -0.041 -0.057 0.012 0.052 -0.026 0.
- D12L 0.067 0.004 0.022 -0.008 0.100 0.013 -0.
- D13M 0.314 0.524 -0.461 0.024 0.227 -0.001 0.
- D13L 0.147 0.248 0.062 0.063 0.818 0.108 -0.
- D15 0.037 0.026 -0.017 -0.004 0.016 0.113 0.
- D17 0.016 -0.077 0.013 -0.139 -0.069 0.225 -0.
- D18 0.356 0.082 0.116 0.024 0.128 0.124 0.
- D19 -0.100 -0.057 0.095 -0.163 0.116 0.791 -0.
- D20 0.342 0.385 0.218 0.158 0.213 0.505 0.
- D21 0.006 -0.088 0.012 -0.072 -0.010 0.752 -0.
- D22 0.496 0.216 0.115 0.091 0.047 0.440 0.
- D23 -0.100 -0.138 -0.680 -0.388 -0.104 0.072 -0.
- D24 0.289 0.625 -0.140 0.226 0.055 0.021 0.
- D25 0.096 -0.192 0.593 0.042 0.196 0.139 -0.
- D26 -0.127 -0.177 -0.245 -0.764 -0.072 0.095 -0.
- D27 0.224 0.816 0.050 0.061 0.080 0.007 0.
- D28 -0.135 -0.163 -0.209 -0.859 -0.037 0.110 -0.
- D29 0.137 0.895 0.126 0.049 0.121 0.029 0.
- D30 -0.167 -0.182 -0.196 -0.809 -0.043 0.080 -0.
- D31 0.137 0.878 0.119 0.058 0.114 -0.005 0.
f rotation="varimax",dec=2)[1:10,]
- Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor
- 716 -0.76 -0.35 0.79 1.68 0.03 1.46 -0.
- 673 -1.11 -0.11 0.31 -0.74 -0.54 0.59 -0.
- 1966 0.10 -0.30 -0.17 -0.55 -0.52 -2.03 -0.
- 1363 0.13 -0.52 -0.81 0.81 -0.28 -0.97 0.
- 454 -1.24 -0.18 1.62 -0.63 -0.33 -1.12 0.
- 1794 0.93 -0.30 1.18 -0.71 0.25 0.77 -0.
- 1912 1.07 -0.44 0.41 0.92 -0.63 -1.67 -0.
- 189 0.56 -0.31 -1.42 -1.85 -0.56 -0.54 -0.
- 1331 0.90 -0.18 -0.37 0.49 -0.66 -1.74 0.
- 1814 1.18 -0.08 0.42 1.17 -0.34 1.14 -0.
f
- Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor
- 716 -0.24 -1.16 -1.17 1.51 1.22 -0.79 -0.
- 673 -0.15 -0.88 -0.12 -0.73 -0.90 -0.87 -0.
- 1966 -0.41 0.26 0.36 -0.45 -1.11 -0.56 1.
- 1363 -0.62 0.00 0.70 0.86 -0.21 0.64 1.
- 454 -0.14 -1.11 -1.43 -0.93 -0.98 0.60 0.
- 1794 -0.16 0.63 -1.20 -0.85 1.14 -0.48 -0.
- 1912 -0.64 1.21 -0.39 0.90 -1.08 0.00 1.
- 189 -0.51 0.77 1.65 -1.47 -0.42 -0.44 0.
- 1331 -0.46 1.20 0.47 0.63 -1.44 0.33 1.
- 1814 -0.14 1.08 -0.59 1.22 0.36 -0.12 -1. - Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor > round(cor(f1,f2),2)
- Factor1 -0.41 0.97 0.29 0.24 0.07 0.13 0.
- Factor2 0.74 -0.07 -0.23 -0.22 -0.13 -0.20 -0.
- Factor3 0.70 -0.42 -0.98 0.05 0.29 -0.03 -0.
- Factor4 -0.10 0.02 -0.36 0.99 0.28 0.19 -0.
- Factor5 0.49 -0.32 -0.61 0.07 0.90 -0.20 -0.
- Factor6 0.67 -0.32 -0.43 0.17 0.83 -0.52 -0.
- Factor7 -0.36 0.17 0.09 0.09 -0.42 0.99 0.
