TPB_UK
TPB_UK.RdA dataset based on the Theory of Planned Behaviour from a UK sample. 4 variables with high communality were selected for each latent variable (ATT, SN, PBC, INT, BEH), from two time points (t1 and t2).
Source
Gathered from a replication study by Hagger et al. (2023).
Obtained from https://doi.org/10.23668/psycharchives.12187
Examples
tpb_uk <- "
# Outer Model (Based on Hagger et al., 2007)
ATT =~ att3 + att2 + att1 + att4
SN =~ sn4 + sn2 + sn3 + sn1
PBC =~ pbc2 + pbc1 + pbc3 + pbc4
INT =~ int2 + int1 + int3 + int4
BEH =~ beh3 + beh2 + beh1 + beh4
# Inner Model (Based on Steinmetz et al., 2011)
# Causal Relationsships
INT ~ ATT + SN + PBC
BEH ~ INT + PBC
BEH ~ INT:PBC
"
est <- modsem(tpb_uk, data = TPB_UK)
summary(est)
#> Estimating baseline model (H0)
#> modsem (version 1.0.11, approach = dblcent):
#>
#> Interaction Model Fit Measures (H1):
#> Loglikelihood -67028.76
#> Akaike (AIC) 134321.51
#> Bayesian (BIC) 134989.95
#> Chi-square 7911.47
#> Degrees of Freedom 534
#> P-value (Chi-square) 0.000
#> RMSEA 0.109
#> CFI 0.908
#> SRMR 0.069
#>
#> Fit Measures for Baseline Model (H0):
#> Loglikelihood -67128.02
#> Akaike (AIC) 134518.04
#> Bayesian (BIC) 135181.41
#> Chi-square 8110.00
#> Degrees of Freedom 535
#> P-value (Chi-square) 0.000
#> RMSEA 0.110
#> CFI 0.906
#> SRMR 0.086
#>
#> Comparative Fit to H0 (LRT test):
#> Chi-square diff 198.526
#> Degrees of freedom diff 1
#> P-value (LRT) 0.000
#>
#> R-Squared Interaction Model (H1):
#> INT 0.898
#> BEH 0.901
#> R-Squared Baseline Model (H0):
#> INT 0.898
#> BEH 0.868
#> R-Squared Change (H1 - H0):
#> INT -0.000
#> BEH 0.033
#>
#> lavaan 0.6-19 ended normally after 273 iterations
#>
#> Estimator ML
#> Optimization method NLMINB
#> Number of model parameters 132
#>
#> Number of observations 1169
#>
#> Model Test User Model:
#>
#> Test statistic 7911.470
#> Degrees of freedom 534
#> P-value (Chi-square) 0.000
#>
#> Parameter Estimates:
#>
#> Standard errors Standard
#> Information Expected
#> Information saturated (h1) model Structured
#>
#> Latent Variables:
#> Estimate Std.Err z-value P(>|z|)
#> ATT =~
#> att3 1.000
#> att2 0.965 0.011 84.977 0.000
#> att1 0.812 0.017 47.096 0.000
#> att4 0.870 0.019 45.663 0.000
#> SN =~
#> sn4 1.000
#> sn2 1.313 0.039 33.539 0.000
#> sn3 1.350 0.040 34.169 0.000
#> sn1 1.001 0.039 25.926 0.000
#> PBC =~
#> pbc2 1.000
#> pbc1 0.862 0.020 42.710 0.000
#> pbc3 0.936 0.017 54.206 0.000
#> pbc4 0.822 0.020 41.241 0.000
#> INT =~
#> int2 1.000
#> int1 0.970 0.011 91.925 0.000
#> int3 0.985 0.010 98.760 0.000
#> int4 0.992 0.009 104.902 0.000
#> BEH =~
#> beh3 1.000
#> beh2 0.986 0.013 75.930 0.000
#> beh1 0.815 0.019 43.156 0.000
#> beh4 0.805 0.019 41.913 0.000
#> INTPBC =~
#> int2pbc2 1.000
#> int1pbc2 0.984 0.017 57.274 0.000
#> int3pbc2 1.014 0.020 50.865 0.000
#> int4pbc2 1.013 0.017 60.855 0.000
#> int2pbc1 1.283 0.042 30.600 0.000
#> int1pbc1 1.239 0.043 28.553 0.000
#> int3pbc1 1.280 0.045 28.502 0.000
#> int4pbc1 1.300 0.045 29.093 0.000
#> int2pbc3 1.023 0.039 25.974 0.000
#> int1pbc3 1.004 0.042 23.860 0.000
#> int3pbc3 1.031 0.041 25.075 0.000
#> int4pbc3 1.029 0.042 24.692 0.000
#> int2pbc4 1.291 0.042 30.637 0.000
#> int1pbc4 1.251 0.044 28.483 0.000
#> int3pbc4 1.285 0.045 28.663 0.000
#> int4pbc4 1.292 0.044 29.062 0.000
#>
#> Regressions:
#> Estimate Std.Err z-value P(>|z|)
#> INT ~
#> ATT -0.068 0.028 -2.437 0.015
#> SN 0.043 0.033 1.289 0.197
#> PBC 1.049 0.036 29.185 0.000
#> BEH ~
#> INT 0.638 0.047 13.427 0.000
#> PBC 0.350 0.051 6.840 0.000
#> INTPBC 0.150 0.011 13.910 0.000
#>
#> Covariances:
#> Estimate Std.Err z-value P(>|z|)
#> .int1pbc2 ~~
#> .int1pbc1 0.875 0.065 13.560 0.000
#> .int1pbc1 ~~
#> .int1pbc3 0.906 0.061 14.724 0.000
#> .int1pbc4 1.283 0.072 17.773 0.000
#> .int2pbc1 ~~
#> .int1pbc1 3.090 0.222 13.941 0.000
#> .int1pbc1 ~~
#> .int3pbc1 2.960 0.217 13.663 0.000
#> .int4pbc1 2.964 0.219 13.504 0.000
#> .int1pbc2 ~~
#> .int1pbc3 1.176 0.069 17.141 0.000
#> .int1pbc4 0.952 0.065 14.621 0.000
#> .int2pbc2 ~~
#> .int1pbc2 5.915 0.290 20.426 0.000
#> .int1pbc2 ~~
#> .int3pbc2 5.292 0.268 19.742 0.000
#> .int4pbc2 5.766 0.287 20.079 0.000
#> .int1pbc3 ~~
#> .int1pbc4 1.022 0.063 16.151 0.000
#> .int2pbc3 ~~
#> .int1pbc3 6.073 0.298 20.410 0.000
#> .int1pbc3 ~~
#> .int3pbc3 5.471 0.275 19.928 0.000
#> .int4pbc3 6.077 0.295 20.571 0.000
#> .int2pbc4 ~~
#> .int1pbc4 2.984 0.220 13.550 0.000
#> .int1pbc4 ~~
#> .int3pbc4 2.950 0.217 13.571 0.000
#> .int4pbc4 3.034 0.220 13.774 0.000
#> .int2pbc2 ~~
#> .int2pbc1 0.752 0.053 14.131 0.000
#> .int2pbc1 ~~
#> .int2pbc3 0.453 0.044 10.295 0.000
#> .int2pbc4 0.792 0.054 14.614 0.000
#> .int3pbc1 3.234 0.227 14.221 0.000
#> .int4pbc1 3.244 0.230 14.080 0.000
#> .int2pbc2 ~~
#> .int2pbc3 0.669 0.050 13.460 0.000
#> .int2pbc4 0.556 0.047 11.750 0.000
#> .int3pbc2 5.346 0.269 19.843 0.000
#> .int4pbc2 5.869 0.287 20.417 0.000
#> .int2pbc3 ~~
#> .int2pbc4 0.368 0.041 9.088 0.000
#> .int3pbc3 5.519 0.275 20.058 0.000
#> .int4pbc3 5.983 0.293 20.389 0.000
#> .int2pbc4 ~~
#> .int3pbc4 3.010 0.223 13.483 0.000
#> .int4pbc4 3.086 0.226 13.662 0.000
#> .int3pbc2 ~~
#> .int3pbc1 0.673 0.071 9.523 0.000
#> .int3pbc1 ~~
#> .int3pbc3 0.410 0.058 7.121 0.000
#> .int3pbc4 1.423 0.076 18.659 0.000
#> .int4pbc1 3.124 0.226 13.826 0.000
#> .int3pbc2 ~~
#> .int3pbc3 1.347 0.077 17.406 0.000
#> .int3pbc4 0.542 0.068 8.020 0.000
#> .int4pbc2 5.302 0.269 19.709 0.000
#> .int3pbc3 ~~
#> .int3pbc4 0.419 0.056 7.440 0.000
#> .int4pbc3 5.500 0.273 20.118 0.000
#> .int3pbc4 ~~
#> .int4pbc4 3.069 0.224 13.713 0.000
#> .int4pbc2 ~~
#> .int4pbc1 0.404 0.052 7.849 0.000
#> .int4pbc1 ~~
#> .int4pbc3 0.355 0.044 8.109 0.000
#> .int4pbc4 0.831 0.055 15.012 0.000
#> .int4pbc2 ~~
#> .int4pbc3 0.882 0.056 15.805 0.000
#> .int4pbc4 0.323 0.049 6.640 0.000
#> .int4pbc3 ~~
#> .int4pbc4 0.349 0.042 8.228 0.000
#> ATT ~~
#> SN 1.681 0.108 15.630 0.000
#> PBC 3.683 0.177 20.760 0.000
#> INTPBC 0.177 0.186 0.951 0.342
#> SN ~~
#> PBC 1.939 0.115 16.822 0.000
#> INTPBC -0.092 0.117 -0.791 0.429
#> PBC ~~
#> INTPBC 0.390 0.185 2.104 0.035
#>
#> Variances:
#> Estimate Std.Err z-value P(>|z|)
#> .att3 0.296 0.024 12.124 0.000
#> .att2 0.305 0.023 12.999 0.000
#> .att1 1.286 0.057 22.563 0.000
#> .att4 1.585 0.070 22.678 0.000
#> .sn4 1.362 0.061 22.411 0.000
#> .sn2 0.494 0.034 14.316 0.000
#> .sn3 0.375 0.033 11.410 0.000
#> .sn1 1.444 0.064 22.512 0.000
#> .pbc2 0.716 0.039 18.338 0.000
#> .pbc1 1.442 0.065 22.140 0.000
#> .pbc3 0.803 0.041 19.708 0.000
#> .pbc4 1.442 0.065 22.331 0.000
#> .int2 0.237 0.014 17.100 0.000
#> .int1 0.406 0.020 20.342 0.000
#> .int3 0.331 0.017 19.292 0.000
#> .int4 0.270 0.015 18.063 0.000
#> .beh3 0.459 0.030 15.127 0.000
#> .beh2 0.520 0.032 16.379 0.000
#> .beh1 1.826 0.080 22.746 0.000
#> .beh4 1.905 0.083 22.842 0.000
#> .int2pbc2 6.989 0.301 23.186 0.000
#> .int1pbc2 7.325 0.307 23.830 0.000
#> .int3pbc2 6.953 0.284 24.503 0.000
#> .int4pbc2 7.007 0.300 23.324 0.000
#> .int2pbc1 4.440 0.247 17.991 0.000
#> .int1pbc1 4.356 0.234 18.652 0.000
#> .int3pbc1 4.730 0.245 19.336 0.000
#> .int4pbc1 4.155 0.243 17.098 0.000
#> .int2pbc3 6.804 0.306 22.238 0.000
#> .int1pbc3 7.543 0.315 23.952 0.000
#> .int3pbc3 6.483 0.276 23.521 0.000
#> .int4pbc3 6.879 0.301 22.874 0.000
#> .int2pbc4 3.897 0.238 16.403 0.000
#> .int1pbc4 4.508 0.237 19.008 0.000
#> .int3pbc4 4.545 0.242 18.812 0.000
#> .int4pbc4 4.116 0.240 17.151 0.000
#> ATT 4.453 0.197 22.581 0.000
#> SN 1.718 0.117 14.744 0.000
#> PBC 4.346 0.209 20.813 0.000
#> .INT 0.505 0.039 13.093 0.000
#> .BEH 0.526 0.035 14.904 0.000
#> INTPBC 7.949 0.567 14.020 0.000
#>