******************************** * General SEM analysis results * ******************************** Model fit and quality indices ----------------------------- Average path coefficient (APC)=0.428, P<0.001 Average R-squared (ARS)=0.404, P<0.001 Average adjusted R-squared (AARS)=0.399, P<0.001 Average block VIF (AVIF)=3.394, acceptable if <= 5, ideally <= 3.3 Average full collinearity VIF (AFVIF)=Inf, acceptable if <= 5, ideally <= 3.3 Tenenhaus GoF (GoF)=0.565, small >= 0.1, medium >= 0.25, large >= 0.36 Sympson's paradox ratio (SPR)=1.000, acceptable if >= 0.7, ideally = 1 R-squared contribution ratio (RSCR)=1.000, acceptable if >= 0.9, ideally = 1 Statistical suppression ratio (SSR)=1.000, acceptable if >= 0.7 Nonlinear bivariate causality direction ratio (NLBCDR)=1.000, acceptable if >= 0.7 General model elements ---------------------- Missing data imputation algorithm: Arithmetic Mean Imputation Outer model analysis algorithm: PLS Regression Default inner model analysis algorithm: Warp3 Multiple inner model analysis algorithms used? No Resampling method used in the analysis: Stable3 Number of data resamples used: 100 Number of cases (rows) in model data: 210 Number of latent variables in model: 10 Number of indicators used in model: 31 Number of iterations to obtain estimates: 5 Range restriction variable type: None Range restriction variable: None Range restriction variable min value: 0.000 Range restriction variable max value: 0.000 Only ranked data used in analysis? No ********************************** * Path coefficients and P values * ********************************** Path coefficients ----------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.706 M_Beli 0.283 0.296 P values -------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image <0.001 M_Beli <0.001 <0.001 ***************************************** * Standard errors for path coefficients * ***************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.060 M_Beli 0.065 0.065 ************************************** * Effect sizes for path coefficients * ************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.498 M_Beli 0.151 0.158 **************************************** * Combined loadings and cross-loadings * **************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli Type (a SE P value x1.1 0.853 0.099 -0.082 0.013 0.174 0.000 -0.012 -0.215 -0.140 0.104 Reflect 0.059 <0.001 x1.2 0.844 0.040 -0.040 -0.003 0.203 0.000 0.152 -0.385 0.037 -0.039 Reflect 0.059 <0.001 x1.3 0.860 -0.138 0.121 -0.009 -0.371 0.000 -0.137 0.591 0.103 -0.066 Reflect 0.059 <0.001 x2.1 -0.104 0.924 -0.028 -0.034 -0.234 0.000 0.012 0.190 0.193 -0.085 Reflect 0.058 <0.001 x2.2 0.104 0.924 0.028 0.034 0.234 0.000 -0.012 -0.190 -0.193 0.085 Reflect 0.058 <0.001 x3.1 0.102 0.064 0.947 0.010 0.124 0.000 0.078 -0.267 0.011 0.037 Reflect 0.058 <0.001 x3.2 -0.102 -0.064 0.947 -0.010 -0.124 0.000 -0.078 0.267 -0.011 -0.037 Reflect 0.058 <0.001 x4.1 0.157 0.041 -0.264 0.667 -0.877 0.000 -0.142 0.660 0.303 0.019 Reflect 0.061 <0.001 x4.2 0.017 0.001 -0.087 0.750 -0.246 0.000 0.022 -0.185 0.011 -0.068 Reflect 0.060 <0.001 x4.3 -0.101 0.039 0.164 0.781 0.457 0.000 -0.009 -0.187 -0.118 -0.036 Reflect 0.060 <0.001 x4.4 -0.059 -0.089 0.174 0.657 0.628 0.000 0.130 -0.237 -0.179 0.102 Reflect 0.061 <0.001 x5.1 0.042 -0.038 -0.028 -0.035 0.970 0.000 0.014 0.047 -0.053 0.043 Reflect 0.058 <0.001 x5.2 -0.042 0.038 0.028 0.035 0.970 0.000 -0.014 -0.047 0.053 -0.043 Reflect 0.058 <0.001 x6.1 -0.712 -0.790 -0.906 -0.773 -0.912 0.959 -0.904 4.519 -0.036 0.065 Reflect 0.058 <0.001 x6.2 -0.866 -0.830 -1.069 -0.744 -1.096 0.959 -0.922 4.879 0.036 -0.065 Reflect 0.058 <0.001 x7.1 0.010 -0.019 0.010 -0.095 -0.060 0.000 0.947 0.156 -0.008 0.029 Reflect 0.058 <0.001 x7.2 -0.010 0.019 -0.010 0.095 0.060 0.000 0.947 -0.156 0.008 -0.029 Reflect 0.058 <0.001 lv_x1 1.000 -0.000 0.000 0.000 0.000 0.000 0.000 0.663 -0.000 -0.000 Formati 0.061 <0.001 lv_x2 -0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.681 -0.000 0.000 Formati 0.061 <0.001 lv_x3 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.830 0.000 0.000 Formati 0.059 <0.001 lv_x4 -0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 0.638 -0.000 0.000 Formati 0.061 <0.001 lv_x5 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 0.844 0.000 0.000 Formati 0.059 <0.001 lv_x6 -0.822 -0.845 -1.029 -0.791 -1.047 0.000 -0.952 0.806 -0.000 0.000 Formati 0.059 <0.001 lv_x7 -0.000 -0.000 -0.000 -0.000 -0.000 0.000 1.000 0.768 0.000 0.000 Formati 0.060 <0.001 y1.1 0.183 0.083 0.085 -0.021 -0.025 0.000 0.163 -0.533 0.904 0.044 Reflect 0.058 <0.001 y1.2 -0.175 -0.113 -0.049 0.004 -0.070 0.000 -0.189 0.560 0.918 -0.000 Reflect 0.058 <0.001 y1.3 -0.005 0.031 -0.035 0.016 0.094 0.000 0.028 -0.035 0.920 -0.043 Reflect 0.058 <0.001 y2.1 0.118 -0.027 -0.259 -0.029 -0.176 0.000 -0.146 0.387 -0.013 0.886 Reflect 0.058 <0.001 y2.2 0.039 0.048 -0.012 0.016 -0.055 0.000 0.119 -0.177 0.086 0.893 Reflect 0.058 <0.001 y2.3 -0.027 0.077 0.148 0.084 0.122 0.000 0.186 -0.465 -0.115 0.864 Reflect 0.059 <0.001 y2.4 -0.133 -0.098 0.129 -0.070 0.114 0.000 -0.157 0.248 0.040 0.872 Reflect 0.059 <0.001 Notes: Loadings are unrotated and cross-loadings are oblique-rotated. SEs and P values are for loadings. P values < 0.05 are desirable for reflective indicators. *************************************************** * Normalized combined loadings and cross-loadings * *************************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1.1 0.607 0.099 -0.082 0.013 0.173 0.000 -0.012 -0.215 -0.140 0.104 x1.2 0.587 0.038 -0.038 -0.003 0.192 0.000 0.143 -0.363 0.035 -0.036 x1.3 0.511 -0.138 0.121 -0.009 -0.371 0.000 -0.137 0.590 0.103 -0.066 x2.1 -0.103 0.593 -0.028 -0.033 -0.231 0.000 0.012 0.187 0.191 -0.084 x2.2 0.105 0.580 0.028 0.034 0.236 0.000 -0.012 -0.192 -0.195 0.086 x3.1 0.103 0.064 0.488 0.010 0.126 0.000 0.078 -0.271 0.011 0.037 x3.2 -0.100 -0.062 0.524 -0.009 -0.122 0.000 -0.076 0.263 -0.011 -0.036 x4.1 0.119 0.031 -0.200 0.636 -0.663 0.000 -0.108 0.499 0.229 0.014 x4.2 0.015 0.001 -0.079 0.880 -0.222 0.000 0.020 -0.167 0.010 -0.062 x4.3 -0.114 0.043 0.184 0.510 0.513 0.000 -0.010 -0.210 -0.133 -0.041 x4.4 -0.066 -0.100 0.195 0.415 0.707 0.000 0.146 -0.266 -0.201 0.115 x5.1 0.043 -0.039 -0.029 -0.035 0.493 0.000 0.014 0.049 -0.054 0.044 x5.2 -0.043 0.039 0.029 0.036 0.492 0.000 -0.014 -0.049 0.055 -0.045 x6.1 -0.143 -0.159 -0.183 -0.156 -0.184 0.496 -0.182 0.911 -0.007 0.013 x6.2 -0.161 -0.154 -0.198 -0.138 -0.204 0.533 -0.171 0.906 0.007 -0.012 x7.1 0.011 -0.020 0.011 -0.104 -0.066 0.000 0.531 0.171 -0.008 0.032 x7.2 -0.010 0.018 -0.010 0.092 0.059 0.000 0.545 -0.152 0.007 -0.028 lv_x1 1.000 -0.000 0.000 0.000 0.000 0.000 0.000 0.376 -0.000 -0.000 lv_x2 -0.000 1.000 0.000 0.000 0.000 0.000 0.000 0.400 -0.000 0.000 lv_x3 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.420 0.000 0.000 lv_x4 -0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 0.384 -0.000 0.000 lv_x5 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 0.416 0.000 0.000 lv_x6 -0.153 -0.157 -0.191 -0.147 -0.194 0.000 -0.177 0.415 -0.000 0.000 lv_x7 -0.000 -0.000 -0.000 -0.000 -0.000 0.000 1.000 0.413 0.000 0.000 y1.1 0.156 0.071 0.072 -0.018 -0.021 0.000 0.139 -0.455 0.591 0.038 y1.2 -0.166 -0.107 -0.046 0.004 -0.066 0.000 -0.179 0.532 0.496 -0.000 y1.3 -0.006 0.034 -0.038 0.018 0.104 0.000 0.031 -0.039 0.522 -0.048 y2.1 0.115 -0.026 -0.253 -0.028 -0.172 0.000 -0.142 0.378 -0.013 0.697 y2.2 0.042 0.052 -0.013 0.017 -0.059 0.000 0.128 -0.191 0.093 0.670 y2.3 -0.024 0.069 0.134 0.076 0.110 0.000 0.168 -0.421 -0.104 0.722 y2.4 -0.150 -0.111 0.146 -0.079 0.129 0.000 -0.178 0.280 0.045 0.575 Note: Loadings are unrotated and cross-loadings are oblique-rotated, both after separate Kaiser normalizations. *************************************** * Pattern loadings and cross-loadings * *************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1.1 0.939 0.099 -0.082 0.013 0.174 0.000 -0.012 -0.215 -0.140 0.104 x1.2 0.951 0.040 -0.040 -0.003 0.203 0.000 0.152 -0.385 0.037 -0.039 x1.3 0.671 -0.138 0.121 -0.009 -0.371 0.000 -0.137 0.591 0.103 -0.066 x2.1 -0.104 0.937 -0.028 -0.034 -0.234 0.000 0.012 0.190 0.193 -0.085 x2.2 0.104 0.912 0.028 0.034 0.234 0.000 -0.012 -0.190 -0.193 0.085 x3.1 0.102 0.064 0.931 0.010 0.124 0.000 0.078 -0.267 0.011 0.037 x3.2 -0.102 -0.064 0.963 -0.010 -0.124 0.000 -0.078 0.267 -0.011 -0.037 x4.1 0.157 0.041 -0.264 0.580 -0.877 0.000 -0.142 0.660 0.303 0.019 x4.2 0.017 0.001 -0.087 1.057 -0.246 0.000 0.022 -0.185 0.011 -0.068 x4.3 -0.101 0.039 0.164 0.705 0.457 0.000 -0.009 -0.187 -0.118 -0.036 x4.4 -0.059 -0.089 0.174 0.487 0.628 0.000 0.130 -0.237 -0.179 0.102 x5.1 0.042 -0.038 -0.028 -0.035 0.971 0.000 0.014 0.047 -0.053 0.043 x5.2 -0.042 0.038 0.028 0.035 0.969 0.000 -0.014 -0.047 0.053 -0.043 x6.1 -0.712 -0.790 -0.906 -0.773 -0.912 0.000 -0.904 4.519 -0.036 0.065 x6.2 -0.866 -0.830 -1.069 -0.744 -1.096 0.000 -0.922 4.879 0.036 -0.065 x7.1 0.010 -0.019 0.010 -0.095 -0.060 0.000 0.890 0.156 -0.008 0.029 x7.2 -0.010 0.019 -0.010 0.095 0.060 0.000 1.005 -0.156 0.008 -0.029 lv_x1 1.000 -0.000 0.000 0.000 0.000 0.000 0.000 -0.000 -0.000 -0.000 lv_x2 -0.000 1.000 0.000 0.000 0.000 0.000 0.000 -0.000 -0.000 0.000 lv_x3 0.000 0.000 1.000 0.000 0.000 0.000 0.000 -0.000 0.000 0.000 lv_x4 -0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 -0.000 0.000 lv_x5 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 -0.000 0.000 0.000 lv_x6 -0.822 -0.845 -1.029 -0.791 -1.047 0.000 -0.952 4.899 -0.000 0.000 lv_x7 -0.000 -0.000 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 0.000 y1.1 0.183 0.083 0.085 -0.021 -0.025 0.000 0.163 -0.533 1.006 0.044 y1.2 -0.175 -0.113 -0.049 0.004 -0.070 0.000 -0.189 0.560 0.842 -0.000 y1.3 -0.005 0.031 -0.035 0.016 0.094 0.000 0.028 -0.035 0.894 -0.043 y2.1 0.118 -0.027 -0.259 -0.029 -0.176 0.000 -0.146 0.387 -0.013 0.875 y2.2 0.039 0.048 -0.012 0.016 -0.055 0.000 0.119 -0.177 0.086 0.893 y2.3 -0.027 0.077 0.148 0.084 0.122 0.000 0.186 -0.465 -0.115 0.952 y2.4 -0.133 -0.098 0.129 -0.070 0.114 0.000 -0.157 0.248 0.040 0.796 Note: Loadings and cross-loadings are oblique-rotated. ************************************************** * Normalized pattern loadings and cross-loadings * ************************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1.1 0.936 0.099 -0.082 0.013 0.173 0.000 -0.012 -0.215 -0.140 0.104 x1.2 0.897 0.038 -0.038 -0.003 0.192 0.000 0.143 -0.363 0.035 -0.036 x1.3 0.669 -0.138 0.121 -0.009 -0.371 0.000 -0.137 0.590 0.103 -0.066 x2.1 -0.103 0.925 -0.028 -0.033 -0.231 0.000 0.012 0.187 0.191 -0.084 x2.2 0.105 0.921 0.028 0.034 0.236 0.000 -0.012 -0.192 -0.195 0.086 x3.1 0.103 0.064 0.943 0.010 0.126 0.000 0.078 -0.271 0.011 0.037 x3.2 -0.100 -0.062 0.946 -0.009 -0.122 0.000 -0.076 0.263 -0.011 -0.036 x4.1 0.119 0.031 -0.200 0.438 -0.663 0.000 -0.108 0.499 0.229 0.014 x4.2 0.015 0.001 -0.079 0.955 -0.222 0.000 0.020 -0.167 0.010 -0.062 x4.3 -0.114 0.043 0.184 0.791 0.513 0.000 -0.010 -0.210 -0.133 -0.041 x4.4 -0.066 -0.100 0.195 0.549 0.707 0.000 0.146 -0.266 -0.201 0.115 x5.1 0.043 -0.039 -0.029 -0.035 0.993 0.000 0.014 0.049 -0.054 0.044 x5.2 -0.043 0.039 0.029 0.036 0.993 0.000 -0.014 -0.049 0.055 -0.045 x6.1 -0.143 -0.159 -0.183 -0.156 -0.184 0.000 -0.182 0.911 -0.007 0.013 x6.2 -0.161 -0.154 -0.198 -0.138 -0.204 0.000 -0.171 0.906 0.007 -0.012 x7.1 0.011 -0.020 0.011 -0.104 -0.066 0.000 0.977 0.171 -0.008 0.032 x7.2 -0.010 0.018 -0.010 0.092 0.059 0.000 0.982 -0.152 0.007 -0.028 lv_x1 1.000 -0.000 0.000 0.000 0.000 0.000 0.000 -0.000 -0.000 -0.000 lv_x2 -0.000 1.000 0.000 0.000 0.000 0.000 0.000 -0.000 -0.000 0.000 lv_x3 0.000 0.000 1.000 0.000 0.000 0.000 0.000 -0.000 0.000 0.000 lv_x4 -0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 -0.000 0.000 lv_x5 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 -0.000 0.000 0.000 lv_x6 -0.153 -0.157 -0.191 -0.147 -0.194 0.000 -0.177 0.908 -0.000 0.000 lv_x7 -0.000 -0.000 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 0.000 y1.1 0.156 0.071 0.072 -0.018 -0.021 0.000 0.139 -0.455 0.858 0.038 y1.2 -0.166 -0.107 -0.046 0.004 -0.066 0.000 -0.179 0.532 0.800 -0.000 y1.3 -0.006 0.034 -0.038 0.018 0.104 0.000 0.031 -0.039 0.991 -0.048 y2.1 0.115 -0.026 -0.253 -0.028 -0.172 0.000 -0.142 0.378 -0.013 0.854 y2.2 0.042 0.052 -0.013 0.017 -0.059 0.000 0.128 -0.191 0.093 0.964 y2.3 -0.024 0.069 0.134 0.076 0.110 0.000 0.168 -0.421 -0.104 0.862 y2.4 -0.150 -0.111 0.146 -0.079 0.129 0.000 -0.178 0.280 0.045 0.899 Note: Loadings and cross-loadings shown are after oblique rotation and Kaiser normalization. ***************************************** * Structure loadings and cross-loadings * ***************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1.1 0.853 0.405 0.319 0.305 0.380 0.235 0.233 0.504 0.439 0.433 x1.2 0.844 0.356 0.345 0.279 0.417 0.291 0.336 0.534 0.503 0.349 x1.3 0.860 0.438 0.526 0.448 0.424 0.410 0.404 0.656 0.580 0.383 x2.1 0.407 0.924 0.501 0.381 0.404 0.361 0.341 0.621 0.411 0.228 x2.2 0.460 0.924 0.512 0.396 0.492 0.334 0.286 0.637 0.314 0.342 x3.1 0.501 0.545 0.947 0.433 0.652 0.550 0.573 0.810 0.515 0.389 x3.2 0.382 0.493 0.947 0.435 0.585 0.549 0.548 0.762 0.430 0.294 x4.1 0.410 0.300 0.173 0.667 0.036 0.158 0.085 0.321 0.377 0.301 x4.2 0.140 0.150 0.110 0.750 0.054 0.101 0.016 0.229 0.150 0.149 x4.3 0.302 0.411 0.503 0.781 0.520 0.458 0.355 0.627 0.373 0.292 x4.4 0.326 0.346 0.531 0.657 0.612 0.517 0.452 0.656 0.398 0.359 x5.1 0.483 0.454 0.627 0.396 0.970 0.671 0.604 0.817 0.548 0.401 x5.2 0.443 0.487 0.640 0.430 0.970 0.667 0.590 0.820 0.568 0.353 x6.1 0.404 0.387 0.595 0.414 0.695 0.959 0.678 0.803 0.534 0.326 x6.2 0.298 0.334 0.518 0.408 0.629 0.959 0.676 0.744 0.486 0.193 x7.1 0.389 0.338 0.579 0.272 0.588 0.677 0.947 0.737 0.478 0.198 x7.2 0.332 0.306 0.543 0.322 0.577 0.661 0.947 0.717 0.458 0.148 lv_x1 1.000 0.469 0.466 0.404 0.477 0.366 0.381 0.663 0.595 0.456 lv_x2 0.469 1.000 0.548 0.420 0.485 0.376 0.340 0.681 0.392 0.308 lv_x3 0.466 0.548 1.000 0.458 0.653 0.580 0.592 0.830 0.499 0.360 lv_x4 0.404 0.420 0.458 1.000 0.426 0.428 0.314 0.638 0.447 0.379 lv_x5 0.477 0.485 0.653 0.426 1.000 0.690 0.615 0.844 0.575 0.388 lv_x6 0.366 0.376 0.580 0.428 0.690 1.000 0.706 0.806 0.532 0.270 lv_x7 0.381 0.340 0.592 0.314 0.615 0.706 1.000 0.768 0.494 0.182 y1.1 0.561 0.297 0.368 0.300 0.406 0.361 0.382 0.506 0.904 0.441 y1.2 0.525 0.395 0.533 0.500 0.600 0.579 0.487 0.690 0.918 0.461 y1.3 0.547 0.383 0.466 0.424 0.569 0.516 0.484 0.645 0.920 0.414 y2.1 0.463 0.265 0.213 0.342 0.266 0.185 0.074 0.332 0.406 0.886 y2.2 0.419 0.268 0.302 0.319 0.318 0.225 0.178 0.380 0.459 0.893 y2.3 0.311 0.235 0.294 0.298 0.295 0.184 0.143 0.331 0.328 0.864 y2.4 0.407 0.316 0.459 0.373 0.487 0.358 0.247 0.505 0.495 0.872 Note: Loadings and cross-loadings are unrotated. **************************************************** * Normalized structure loadings and cross-loadings * **************************************************** x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1.1 0.607 0.288 0.227 0.217 0.270 0.167 0.166 0.359 0.312 0.308 x1.2 0.587 0.248 0.240 0.194 0.290 0.202 0.234 0.372 0.350 0.243 x1.3 0.511 0.260 0.312 0.266 0.252 0.243 0.240 0.390 0.344 0.228 x2.1 0.261 0.593 0.321 0.244 0.259 0.232 0.219 0.398 0.264 0.146 x2.2 0.289 0.580 0.321 0.248 0.309 0.209 0.180 0.400 0.197 0.214 x3.1 0.258 0.281 0.488 0.223 0.336 0.283 0.296 0.418 0.266 0.201 x3.2 0.211 0.273 0.524 0.240 0.323 0.303 0.303 0.421 0.238 0.162 x4.1 0.391 0.286 0.165 0.636 0.035 0.150 0.081 0.306 0.359 0.287 x4.2 0.164 0.176 0.129 0.880 0.063 0.118 0.019 0.269 0.176 0.174 x4.3 0.197 0.268 0.328 0.510 0.340 0.299 0.232 0.409 0.243 0.191 x4.4 0.206 0.219 0.335 0.415 0.387 0.327 0.286 0.415 0.251 0.227 x5.1 0.246 0.230 0.318 0.201 0.493 0.341 0.307 0.415 0.278 0.204 x5.2 0.225 0.247 0.325 0.218 0.492 0.339 0.299 0.416 0.288 0.179 x6.1 0.209 0.200 0.308 0.214 0.359 0.496 0.351 0.415 0.276 0.169 x6.2 0.166 0.186 0.288 0.227 0.350 0.533 0.376 0.414 0.270 0.107 x7.1 0.218 0.189 0.324 0.152 0.330 0.379 0.531 0.413 0.268 0.111 x7.2 0.191 0.176 0.313 0.186 0.332 0.381 0.545 0.413 0.264 0.085 lv_x1 0.567 0.266 0.264 0.229 0.271 0.208 0.216 0.376 0.338 0.259 lv_x2 0.275 0.587 0.322 0.247 0.285 0.221 0.199 0.400 0.230 0.181 lv_x3 0.236 0.277 0.506 0.232 0.330 0.293 0.299 0.420 0.253 0.182 lv_x4 0.243 0.253 0.276 0.602 0.256 0.258 0.189 0.384 0.269 0.228 lv_x5 0.235 0.239 0.322 0.210 0.493 0.340 0.303 0.416 0.283 0.191 lv_x6 0.189 0.194 0.298 0.221 0.355 0.515 0.363 0.415 0.274 0.139 lv_x7 0.205 0.183 0.319 0.169 0.331 0.380 0.538 0.413 0.266 0.098 y1.1 0.367 0.194 0.241 0.196 0.265 0.236 0.250 0.331 0.591 0.289 y1.2 0.283 0.213 0.288 0.270 0.324 0.312 0.263 0.373 0.496 0.249 y1.3 0.311 0.217 0.265 0.241 0.323 0.293 0.275 0.366 0.522 0.235 y2.1 0.364 0.208 0.168 0.269 0.209 0.145 0.058 0.261 0.319 0.697 y2.2 0.314 0.201 0.227 0.239 0.239 0.169 0.134 0.285 0.345 0.670 y2.3 0.260 0.196 0.246 0.249 0.247 0.154 0.120 0.277 0.274 0.722 y2.4 0.268 0.208 0.303 0.246 0.321 0.236 0.163 0.333 0.326 0.575 Note: Loadings and cross-loadings shown are unrotated and after Kaiser normalization. ********************* * Indicator weights * ********************* x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli Type (a SE P value VIF WLS ES x1.1 0.391 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.064 <0.001 1.787 1 0.334 x1.2 0.387 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.064 <0.001 1.729 1 0.327 x1.3 0.394 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.064 <0.001 1.835 1 0.339 x2.1 0.000 0.541 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.062 <0.001 2.005 1 0.500 x2.2 0.000 0.541 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.062 <0.001 2.005 1 0.500 x3.1 0.000 0.000 0.528 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.062 <0.001 2.695 1 0.500 x3.2 0.000 0.000 0.528 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.062 <0.001 2.695 1 0.500 x4.1 0.000 0.000 0.000 0.326 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.065 <0.001 1.643 1 0.217 x4.2 0.000 0.000 0.000 0.366 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.064 <0.001 1.773 1 0.275 x4.3 0.000 0.000 0.000 0.381 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.064 <0.001 1.894 1 0.297 x4.4 0.000 0.000 0.000 0.320 0.000 0.000 0.000 0.000 0.000 0.000 Reflect 0.065 <0.001 1.723 1 0.211 x5.1 0.000 0.000 0.000 0.000 0.515 0.000 0.000 0.000 0.000 0.000 Reflect 0.063 <0.001 4.501 1 0.500 x5.2 0.000 0.000 0.000 0.000 0.515 0.000 0.000 0.000 0.000 0.000 Reflect 0.063 <0.001 4.501 1 0.500 x6.1 0.000 0.000 0.000 0.000 0.000 0.521 0.000 0.000 0.000 0.000 Reflect 0.063 <0.001 3.398 1 0.500 x6.2 0.000 0.000 0.000 0.000 0.000 0.521 0.000 0.000 0.000 0.000 Reflect 0.063 <0.001 3.398 1 0.500 x7.1 0.000 0.000 0.000 0.000 0.000 0.000 0.528 0.000 0.000 0.000 Reflect 0.063 <0.001 2.723 1 0.500 x7.2 0.000 0.000 0.000 0.000 0.000 0.000 0.528 0.000 0.000 0.000 Reflect 0.063 <0.001 2.723 1 0.500 lv_x1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.168 0.000 0.000 Formati 0.067 0.006 1.514 1 0.111 lv_x2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.173 0.000 0.000 Formati 0.067 0.005 1.636 1 0.117 lv_x3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.210 0.000 0.000 Formati 0.066 <0.001 2.304 1 0.174 lv_x4 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.162 0.000 0.000 Formati 0.067 0.008 1.454 1 0.103 lv_x5 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.214 0.000 0.000 Formati 0.066 <0.001 2.544 1 0.180 lv_x6 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.204 0.000 0.000 Formati 0.066 0.001 2.640 1 0.164 lv_x7 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.194 0.000 0.000 Formati 0.067 0.002 2.299 1 0.149 y1.1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.361 0.000 Reflect 0.064 <0.001 2.608 1 0.326 y1.2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.366 0.000 Reflect 0.064 <0.001 2.962 1 0.336 y1.3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.367 0.000 Reflect 0.064 <0.001 2.997 1 0.338 y2.1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.287 Reflect 0.065 <0.001 3.070 1 0.254 y2.2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.289 Reflect 0.065 <0.001 3.157 1 0.258 y2.3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.280 Reflect 0.065 <0.001 2.507 1 0.242 y2.4 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.282 Reflect 0.065 <0.001 2.595 1 0.246 Notes: P values < 0.05 and VIFs < 2.5 are desirable for formative indicators; VIF = indicator variance inflation factor; WLS = indicator weight-loading sign (-1 = Simpson's paradox in l.v.); ES = indicator effect size. ******************************** * Latent variable coefficients * ******************************** R-squared coefficients ---------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.498 0.309 Adjusted R-squared coefficients ------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.496 0.302 Composite reliability coefficients ---------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.889 0.921 0.945 0.807 0.970 0.958 0.946 0.900 0.938 0.931 Cronbach's alpha coefficients --------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.812 0.829 0.885 0.680 0.937 0.913 0.886 0.869 0.901 0.902 Average variances extracted --------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.727 0.854 0.897 0.513 0.941 0.920 0.898 0.564 0.835 0.772 Full collinearity VIFs ---------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli Inf Inf Inf Inf Inf Inf Inf Inf 2.143 1.492 Q-squared coefficients ---------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.495 0.306 Minimum and maximum values -------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli -3.459 -2.942 -3.013 -3.508 -3.032 -2.804 -2.615 -4.016 -3.154 -2.966 2.352 1.908 1.442 3.589 1.153 1.619 1.573 1.895 1.579 2.607 Medians (top) and modes (bottom) -------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.415 0.291 -0.043 0.022 -0.242 0.144 0.177 0.126 0.001 0.540 0.415 0.291 -0.043 0.022 -0.242 0.144 0.177 0.321 0.001 0.749 Skewness (top) and exc. kurtosis (bottom) coefficients ------------------------------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli -0.854 -0.513 -0.610 0.007 -0.771 -0.317 -0.263 -1.260 -0.621 -0.630 0.428 0.778 0.749 1.496 0.625 0.168 -0.194 2.030 0.264 -0.013 Tests of unimodality: Rohatgi-Székely (top) and Klaassen-Mokveld-van Es (bottom) -------------------------------------------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Tests of normality: Jarque–Bera (top) and robust Jarque–Bera (bottom) --------------------------------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli No No No No No Yes Yes No No No No No No No No No No No No No *************************************************** * Ccorrelations among latent variables and errors * *************************************************** Correlations among l.vs. with sq. rts. of AVEs ---------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 0.853 0.469 0.466 0.404 0.477 0.366 0.381 0.663 0.595 0.456 x2 0.469 0.924 0.548 0.420 0.485 0.376 0.340 0.681 0.392 0.308 x3 0.466 0.548 0.947 0.458 0.653 0.580 0.592 0.830 0.499 0.360 x4 0.404 0.420 0.458 0.716 0.426 0.428 0.314 0.638 0.447 0.379 x5 0.477 0.485 0.653 0.426 0.970 0.690 0.615 0.844 0.575 0.388 x6 0.366 0.376 0.580 0.428 0.690 0.959 0.706 0.806 0.532 0.270 x7 0.381 0.340 0.592 0.314 0.615 0.706 0.947 0.768 0.494 0.182 Mar_Mix 0.663 0.681 0.830 0.638 0.844 0.806 0.768 0.751 0.672 0.440 B_Image 0.595 0.392 0.499 0.447 0.575 0.532 0.494 0.672 0.914 0.480 M_Beli 0.456 0.308 0.360 0.379 0.388 0.270 0.182 0.440 0.480 0.879 Note: Square roots of average variances extracted (AVEs) shown on diagonal. P values for correlations ------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 1.000 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 x2 <0.001 1.000 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 x3 <0.001 <0.001 1.000 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 x4 <0.001 <0.001 <0.001 1.000 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 x5 <0.001 <0.001 <0.001 <0.001 1.000 <0.001 <0.001 <0.001 <0.001 <0.001 x6 <0.001 <0.001 <0.001 <0.001 <0.001 1.000 <0.001 <0.001 <0.001 <0.001 x7 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 1.000 <0.001 <0.001 0.008 Mar_Mix <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 1.000 <0.001 <0.001 B_Image <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 1.000 <0.001 M_Beli <0.001 <0.001 <0.001 <0.001 <0.001 <0.001 0.008 <0.001 <0.001 1.000 Correlations among l.v. error terms with VIFs --------------------------------------------- (e)B_Im (e)M_Be (e)B_Im 1.002 0.049 (e)M_Be 0.049 1.002 Notes: Variance inflation factors (VIFs) shown on diagonal. Error terms included (a.k.a. residuals) are for endogenous l.vs. P values for correlations ------------------------- (e)B_Im (e)M_Be (e)B_Im 1.000 0.484 (e)M_Be 0.484 1.000 ************************************ * Block variance inflation factors * ************************************ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 3.394 3.394 Note: These VIFs are for the latent variables on each column (predictors), with reference to the latent variables on each row (criteria). ****************************** * Indirect and total effects * ****************************** Indirect effects for paths with 2 segments ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.209 Number of paths with 2 segments ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 1 P values of indirect effects for paths with 2 segments ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli <0.001 Standard errors of indirect effects for paths with 2 segments ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.047 Effect sizes of indirect effects for paths with 2 segments ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.111 Sums of indirect effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.209 Number of paths for indirect effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 1 P values for sums of indirect effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli <0.001 Standard errors for sums of indirect effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.047 Effect sizes for sums of indirect effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli 0.111 Total effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.706 M_Beli 0.492 0.296 Number of paths for total effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 1 M_Beli 2 1 P values for total effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image <0.001 M_Beli <0.001 <0.001 Standard errors for total effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.060 M_Beli 0.063 0.065 Effect sizes for total effects ------------------------------ x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.498 M_Beli 0.262 0.158 ************************************* * Causality assessment coefficients * ************************************* Path-correlation signs ---------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 1 M_Beli 1 1 Notes: path-correlation signs; negative sign (i.e., -1) = Simpson's paradox. R-squared contributions ----------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.498 M_Beli 0.151 0.158 Notes: R-squared contributions of predictor lat. vars.; columns = predictor lat. vars.; rows = criteria lat. vars.; negative sign = reduction in R-squared. Path-correlation ratios ----------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 1.000 M_Beli 0.532 0.555 Notes: absolute path-correlation ratios; ratio > 1 indicates statistical suppression; 1 < ratio <= 1.3: weak suppression; 1.3 < ratio <= 1.7: medium; 1.7 < ratio: strong. Path-correlation differences ---------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.000 M_Beli 0.249 0.238 Note: absolute path-correlation differences. P values for path-correlation differences ----------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 1.000 M_Beli <0.001 <0.001 Note: P values for absolute path-correlation differences. Warp2 bivariate causal direction ratios --------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 1.083 M_Beli 0.999 0.901 Notes: Warp2 bivariate causal direction ratios; ratio > 1 supports reversed link; 1 < ratio <= 1.3: weak support; 1.3 < ratio <= 1.7: medium; 1.7 < ratio: strong. Warp2 bivariate causal direction differences -------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.058 M_Beli 0.000 0.053 Note: absolute Warp2 bivariate causal direction differences. P values for Warp2 bivariate causal direction differences --------------------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.198 M_Beli 0.498 0.220 Note: P values for absolute Warp2 bivariate causal direction differences. Warp3 bivariate causal direction ratios --------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 1.078 M_Beli 0.995 0.919 Notes: Warp3 bivariate causal direction ratios; ratio > 1 supports reversed link; 1 < ratio <= 1.3: weak support; 1.3 < ratio <= 1.7: medium; 1.7 < ratio: strong. Warp3 bivariate causal direction differences -------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.055 M_Beli 0.002 0.043 Note: absolute Warp3 bivariate causal direction differences. P values for Warp3 bivariate causal direction differences --------------------------------------------------------- x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image M_Beli x1 x2 x3 x4 x5 x6 x7 Mar_Mix B_Image 0.212 M_Beli 0.486 0.264 Note: P values for absolute Warp3 bivariate causal direction differences.