Define PLS model structure
AGR<-c(0,0,0,0,0,0,0)
HD<-c(0,0,0,0,0,0,0)
HN<-c(0,1,0,0,0,0,0)
PEOU<-c(0,0,1,0,0,0,0)
PU<-c(1,0,1,1,0,0,0)
BI<-c(0,0,0,1,1,0,0)
AU<-c(0,0,0,0,0,1,0)
Path<-rbind(AGR,HD,HN,PEOU,PU,BI,AU)
KatjaBlocks<-list(2,4,6:8,13:14,9:12,15:17,18:19)
KatjaModes<-rep("A",7)
innerplot(Path)
PLS_Katjadat
factanal(Katjadat[,6:19],factors=5, rotation="varimax")
##
## Call:
## factanal(x = Katjadat[, 6:19], factors = 5, rotation = "varimax")
##
## Uniquenesses:
## HedonicNature1 HedonicNature2 HedonicNature3
## 0.235 0.221 0.216
## PerceivedUsefulness1 PerceivedUsefulness2 PerceivedUsefulness3
## 0.260 0.388 0.296
## PerceivedUsefulness4 PerceivedEaseofUse1 PerceivedEaseofUse2
## 0.387 0.415 0.138
## BehavioralIntention1 BehavioralIntention2 BehavioralIntention3
## 0.185 0.080 0.379
## ActualUsage1 ActualUsage2
## 0.847 0.855
##
## Loadings:
## Factor1 Factor2 Factor3 Factor4 Factor5
## HedonicNature1 0.384 0.467 0.553 0.192 0.239
## HedonicNature2 0.187 0.265 0.800 0.136 0.125
## HedonicNature3 0.240 0.356 0.685 0.212 0.294
## PerceivedUsefulness1 0.766 0.245 0.228 0.193
## PerceivedUsefulness2 0.739 0.159 0.183
## PerceivedUsefulness3 0.707 0.287 0.206 0.270
## PerceivedUsefulness4 0.706 0.192 0.245 -0.104
## PerceivedEaseofUse1 0.539 0.190 0.496
## PerceivedEaseofUse2 0.411 0.225 0.264 0.756
## BehavioralIntention1 0.299 0.811 0.194 0.124 -0.125
## BehavioralIntention2 0.152 0.909 0.200 0.172
## BehavioralIntention3 0.232 0.682 0.228 -0.223
## ActualUsage1 -0.156 -0.336
## ActualUsage2 -0.134 -0.349
##
## Factor1 Factor2 Factor3 Factor4 Factor5
## SS loadings 3.018 2.634 1.789 1.067 0.591
## Proportion Var 0.216 0.188 0.128 0.076 0.042
## Cumulative Var 0.216 0.404 0.531 0.608 0.650
##
## Test of the hypothesis that 5 factors are sufficient.
## The chi square statistic is 26.32 on 31 degrees of freedom.
## The p-value is 0.706
KatjaPLS<-plspm(Katjadat[1:116,],Path,KatjaBlocks,mode=KatjaModes)
KatjaPLS
## Partial Least Squares Path Modeling (PLS-PM)
## ---------------------------------------------
## NAME DESCRIPTION
## 1 $outer_model outer model
## 2 $inner_model inner model
## 3 $path_coefs path coefficients matrix
## 4 $scores latent variable scores
## 5 $crossloadings cross-loadings
## 6 $inner_summary summary inner model
## 7 $effects total effects
## 8 $unidim unidimensionality
## 9 $gof goodness-of-fit
## 10 $boot bootstrap results
## 11 $data data matrix
## ---------------------------------------------
## You can also use the function 'summary'
KatjaPLS$unidim
## Mode MVs C.alpha DG.rho eig.1st eig.2nd
## AGR A 1 1.0000000 1.0000000 1.000000 0.0000000
## HD A 1 1.0000000 1.0000000 1.000000 0.0000000
## HN A 3 0.8913512 0.9325031 2.464853 0.3088569
## PEOU A 2 0.8010042 0.9095061 1.668063 0.3319374
## PU A 4 0.8667299 0.9092258 2.858940 0.4766369
## BI A 3 0.8978088 0.9365010 2.493395 0.3559977
## AU A 2 0.2117372 0.7172925 1.118404 0.8815962
KatjaPLS$crossloadings
## name block AGR HD HN
## 1 Agreeableness1 AGR 1.000000000 0.000000e+00 0.06393355
## 2 HumanlikeDesign1 HD 0.000000000 1.000000e+00 0.04404191
## 3 HedonicNature1 HN 0.033786869 3.378687e-02 0.91555929
## 4 HedonicNature2 HN 0.065653216 8.206652e-02 0.88291378
## 5 HedonicNature3 HN 0.079416230 8.824026e-03 0.91871254
## 6 PerceivedEaseofUse1 PEOU -0.009793103 -9.793103e-03 0.45909756
## 7 PerceivedEaseofUse2 PEOU 0.111436418 9.286368e-02 0.57338700
## 8 PerceivedUsefulness1 PU -0.019660827 -3.932165e-02 0.46933061
## 9 PerceivedUsefulness2 PU 0.009085279 9.085279e-03 0.39906932
## 10 PerceivedUsefulness3 PU 0.017444809 -1.744481e-02 0.56716006
## 11 PerceivedUsefulness4 PU -0.022186946 7.395649e-03 0.46166313
## 12 BehavioralIntention1 BI 0.046110212 -3.416172e-18 0.56965880
## 13 BehavioralIntention2 BI 0.085021337 -3.864606e-02 0.58979337
## 14 BehavioralIntention3 BI -0.030997509 6.199502e-02 0.45486692
## 15 ActualUsage1 AU -0.011385365 2.335626e-02 -0.16127564
## 16 ActualUsage2 AU 0.079681396 1.044243e-02 -0.11234432
## PEOU PU BI AU
## 1 0.06093578 -0.004595536 0.038553886 0.034880209
## 2 0.04995844 -0.013199070 0.007063656 0.023800312
## 3 0.56367326 0.609450797 0.621016196 -0.138688157
## 4 0.44060004 0.413070689 0.461556741 -0.176853700
## 5 0.53144073 0.487550181 0.509719969 -0.197628560
## 6 0.89809554 0.613952860 0.290417774 -0.042630626
## 7 0.92724174 0.589977600 0.437999940 -0.080828404
## 8 0.61673945 0.879978276 0.425377332 -0.107410709
## 9 0.55639284 0.824832335 0.365320531 -0.068845263
## 10 0.54432440 0.852808757 0.453032813 -0.135094943
## 11 0.50467594 0.822068215 0.425412822 -0.009116945
## 12 0.41486503 0.512077829 0.935112904 0.134560875
## 13 0.40404759 0.432362089 0.936855276 0.033968994
## 14 0.27631685 0.396865563 0.859962935 0.156715605
## 15 -0.05917080 -0.017968967 0.103194730 0.838784918
## 16 -0.04274277 -0.151651091 0.073101640 0.639948245
KatjaPLS$inner_model
## $HN
## Estimate Std. Error t value Pr(>|t|)
## Intercept -3.001650e-17 0.0935677 -3.207998e-16 1.0000000
## HD 4.404191e-02 0.0935677 4.706956e-01 0.6387575
##
## $PEOU
## Estimate Std. Error t value Pr(>|t|)
## Intercept 5.124167e-16 0.07695834 6.658364e-15 1.000000e+00
## HN 5.699343e-01 0.07695834 7.405750e+00 2.432049e-11
##
## $PU
## Estimate Std. Error t value Pr(>|t|)
## Intercept -2.801651e-16 0.06757122 -4.146219e-15 1.000000e+00
## AGR -5.313973e-02 0.06773998 -7.844663e-01 4.344226e-01
## HN 2.832227e-01 0.08228660 3.441905e+00 8.129709e-04
## PEOU 4.994892e-01 0.08227114 6.071257e+00 1.774942e-08
##
## $BI
## Estimate Std. Error t value Pr(>|t|)
## Intercept -3.181899e-17 0.08111637 -3.922634e-16 1.0000000000
## PEOU 1.396061e-01 0.10768041 1.296486e+00 0.1974496170
## PU 4.035794e-01 0.10768041 3.747936e+00 0.0002826101
##
## $AU
## Estimate Std. Error t value Pr(>|t|)
## Intercept -1.793500e-17 0.09298246 -1.928858e-16 1.000000
## BI 1.199415e-01 0.09298246 1.289937e+00 0.199683
KatjaPLS$outer_model
## name block weight loading communality redundancy
## 1 Agreeableness1 AGR 1.0000000 1.0000000 1.0000000 0.000000000
## 2 HumanlikeDesign1 HD 1.0000000 1.0000000 1.0000000 0.000000000
## 3 HedonicNature1 HN 0.4197308 0.9155593 0.8382488 0.001625943
## 4 HedonicNature2 HN 0.3254239 0.8829138 0.7795367 0.001512059
## 5 HedonicNature3 HN 0.3574462 0.9187125 0.8440327 0.001637162
## 6 PerceivedEaseofUse1 PEOU 0.5032398 0.8980955 0.8065756 0.261995999
## 7 PerceivedEaseofUse2 PEOU 0.5910461 0.9272417 0.8597772 0.279277230
## 8 PerceivedUsefulness1 PU 0.3117735 0.8799783 0.7743618 0.378370658
## 9 PerceivedUsefulness2 PU 0.2670913 0.8248323 0.6803484 0.332433594
## 10 PerceivedUsefulness3 PU 0.3150240 0.8528088 0.7272828 0.355366800
## 11 PerceivedUsefulness4 PU 0.2879145 0.8220682 0.6757962 0.330209271
## 12 BehavioralIntention1 BI 0.4209379 0.9351129 0.8744361 0.224271165
## 13 BehavioralIntention2 BI 0.3451562 0.9368553 0.8776978 0.225107701
## 14 BehavioralIntention3 BI 0.3291004 0.8599629 0.7395362 0.189672691
## 15 ActualUsage1 AU 0.7738617 0.8387849 0.7035601 0.010121398
## 16 ActualUsage2 AU 0.5483201 0.6399482 0.4095338 0.005891542
KatjaPLS$path_coefs
## AGR HD HN PEOU PU BI AU
## AGR 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0
## HD 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0
## HN 0.00000000 0.04404191 0.0000000 0.0000000 0.0000000 0.0000000 0
## PEOU 0.00000000 0.00000000 0.5699343 0.0000000 0.0000000 0.0000000 0
## PU -0.05313973 0.00000000 0.2832227 0.4994892 0.0000000 0.0000000 0
## BI 0.00000000 0.00000000 0.0000000 0.1396061 0.4035794 0.0000000 0
## AU 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.1199415 0
KatjaPLS$gof
## [1] 0.405395
KatjaPLS$effects
## relationships direct indirect total
## 1 AGR -> HD 0.00000000 0.000000000 0.000000000
## 2 AGR -> HN 0.00000000 0.000000000 0.000000000
## 3 AGR -> PEOU 0.00000000 0.000000000 0.000000000
## 4 AGR -> PU -0.05313973 0.000000000 -0.053139733
## 5 AGR -> BI 0.00000000 -0.021446099 -0.021446099
## 6 AGR -> AU 0.00000000 -0.002572278 -0.002572278
## 7 HD -> HN 0.04404191 0.000000000 0.044041909
## 8 HD -> PEOU 0.00000000 0.025100994 0.025100994
## 9 HD -> PU 0.00000000 0.025011344 0.025011344
## 10 HD -> BI 0.00000000 0.013598314 0.013598314
## 11 HD -> AU 0.00000000 0.001631003 0.001631003
## 12 HN -> PEOU 0.56993429 0.000000000 0.569934295
## 13 HN -> PU 0.28322268 0.284676051 0.567898728
## 14 HN -> BI 0.00000000 0.308758514 0.308758514
## 15 HN -> AU 0.00000000 0.037032974 0.037032974
## 16 PEOU -> PU 0.49948925 0.000000000 0.499489246
## 17 PEOU -> BI 0.13960611 0.201583547 0.341189661
## 18 PEOU -> AU 0.00000000 0.040922816 0.040922816
## 19 PU -> BI 0.40357935 0.000000000 0.403579354
## 20 PU -> AU 0.00000000 0.048405932 0.048405932
## 21 BI -> AU 0.11994155 0.000000000 0.119941547
KatjaPLS$inner_summary
## Type R2 Block_Communality Mean_Redundancy AVE
## AGR Exogenous 0.00000000 1.0000000 0.000000000 1.0000000
## HD Exogenous 0.00000000 1.0000000 0.000000000 1.0000000
## HN Endogenous 0.00193969 0.8206061 0.001591721 0.8206061
## PEOU Endogenous 0.32482510 0.8331764 0.270636614 0.8331764
## PU Endogenous 0.48862260 0.7144473 0.349095080 0.7144473
## BI Endogenous 0.25647518 0.8305567 0.213017186 0.8305567
## AU Endogenous 0.01438597 0.5565469 0.008006470 0.5565469
plot(KatjaPLS)
