A: Data From TUBITAK Project (Unique participants of Time 1)

Comparison of the six-factor and the acquiescence model

                      Six-factor Model Acquiescence Model
chisq                         1126.156           1110.165
chisq.scaled                   779.453            769.631
df                             237.000            243.000
pvalue                           0.000              0.000
cfi                              0.940              0.942
cfi.scaled                       0.949              0.950
tli                              0.931              0.934
tli.scaled                       0.940              0.943
srmr                             0.055              0.044
rmsea                            0.047              0.046
rmsea.ci.lower                   0.044              0.043
rmsea.ci.upper                   0.050              0.049
rmsea.scaled                     0.037              0.036
rmsea.ci.lower.scaled            0.034              0.033
rmsea.ci.upper.scaled            0.039              0.038


DV: T1 Vitality Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1976.063           1963.332
chisq.scaled                  1439.176           1430.558
df                             413.000            419.000
pvalue                           0.000              0.000
cfi                              0.921              0.922
cfi.scaled                       0.929              0.930
tli                              0.911              0.913
tli.scaled                       0.920              0.922
srmr                             0.058              0.051
rmsea                            0.048              0.047
rmsea.ci.lower                   0.046              0.045
rmsea.ci.upper                   0.050              0.049
rmsea.scaled                     0.039              0.038
rmsea.ci.lower.scaled            0.037              0.036
rmsea.ci.upper.scaled            0.041              0.040

Models for T1 Vitality:
Regression weights of T1 subjective vitality as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
T1 Subjective vitality ~ Autonomy satisfaction 0.222 0.064 0.001 0.167
T1 Subjective vitality ~ Competence satisfaction 0.362 0.064 0.000 0.331
T1 Subjective vitality ~ Relatedness satisfaction 0.189 0.072 0.009 0.117
T1 Subjective vitality ~ Autonomy frustration -0.108 0.042 0.010 -0.112
T1 Subjective vitality ~ Competence frustration -0.122 0.088 0.166 -0.105
T1 Subjective vitality ~ Relatedness frustration 0.081 0.055 0.142 0.071


Regression weights of T1 subjective vitality as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
T1 Subjective vitality ~~ Autonomy satisfaction 0.343 0.060 0.000 0.240
T1 Subjective vitality ~~ Competence satisfaction 0.454 0.050 0.000 0.381
T1 Subjective vitality ~~ Relatedness satisfaction 0.057 0.054 0.290 0.038
T1 Subjective vitality ~~ Autonomy acquiescence 0.105 0.083 0.209 0.046
T1 Subjective vitality ~~ Competence acquiescence 0.256 0.125 0.041 0.094
T1 Subjective vitality ~~ Relatedness acquiescence 0.278 0.106 0.009 0.108

The unexplained variance of T1 vitality from needs in the six-factor model is .617
The unexplained variance of T1 vitality from needs in the acquiescence model is .608


DV: T1 Life Satisfaction Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1601.288           1584.190
chisq.scaled                  1156.576           1145.078
df                             356.000            362.000
pvalue                           0.000              0.000
cfi                              0.929              0.930
cfi.scaled                       0.937              0.938
tli                              0.919              0.922
tli.scaled                       0.928              0.931
srmr                             0.053              0.044
rmsea                            0.046              0.045
rmsea.ci.lower                   0.044              0.043
rmsea.ci.upper                   0.048              0.047
rmsea.scaled                     0.037              0.036
rmsea.ci.lower.scaled            0.035              0.034
rmsea.ci.upper.scaled            0.039              0.038

Models for T1 Life Satisfaction:
Regression weights of T1 life satisfaction as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
T1 Life satisfaction ~ Autonomy satisfaction 0.254 0.059 0.000 0.217
T1 Life satisfaction ~ Competence satisfaction 0.304 0.059 0.000 0.315
T1 Life satisfaction ~ Relatedness satisfaction 0.109 0.062 0.079 0.075
T1 Life satisfaction ~ Autonomy frustration -0.205 0.042 0.000 -0.241
T1 Life satisfaction ~ Competence frustration 0.043 0.078 0.579 0.042
T1 Life satisfaction ~ Relatedness frustration -0.050 0.048 0.291 -0.050


Regression weights of T1 life satisfaction as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
T1 Life satisfaction ~ Autonomy satisfaction 0.485 0.059 0.000 0.387
T1 Life satisfaction ~ Competence satisfaction 0.258 0.045 0.000 0.244
T1 Life satisfaction ~ Relatedness satisfaction 0.150 0.047 0.001 0.114
T1 Life satisfaction ~ Autonomy acquiescence 0.034 0.080 0.670 0.017
T1 Life satisfaction ~ Competence acquiescence 0.311 0.112 0.005 0.132
T1 Life satisfaction ~ Relatedness acquiescence 0.120 0.090 0.186 0.053

The unexplained variance of T1 life satisfaction from needs in the six-factor model is .560
The unexplained variance of T1 life satisfaction from needs in the acquiescence model is .548


DV: T1 Depressive Feelings Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1666.243           1662.488
chisq.scaled                  1308.001           1306.498
df                             506.000            512.000
pvalue                           0.000              0.000
cfi                              0.911              0.912
cfi.scaled                       0.919              0.920
tli                              0.902              0.904
tli.scaled                       0.910              0.912
srmr                             0.055              0.047
rmsea                            0.046              0.046
rmsea.ci.lower                   0.044              0.043
rmsea.ci.upper                   0.048              0.048
rmsea.scaled                     0.038              0.038
rmsea.ci.lower.scaled            0.036              0.036
rmsea.ci.upper.scaled            0.041              0.040

Models for T1 Depressive Feelings:
Regression weights of T1 depressive feelings as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
T1 Depressive feelings ~ Autonomy satisfaction -0.095 0.050 0.059 -0.102
T1 Depressive feelings ~ Competence satisfaction -0.099 0.045 0.029 -0.133
T1 Depressive feelings ~ Relatedness satisfaction -0.036 0.049 0.468 -0.031
T1 Depressive feelings ~ Autonomy frustration 0.221 0.034 0.000 0.335
T1 Depressive feelings ~ Competence frustration 0.127 0.067 0.058 0.162
T1 Depressive feelings ~ Relatedness frustration 0.063 0.042 0.135 0.077


Regression weights of T1 depressive feelings as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
T1 Depressive feelings ~ Autonomy satisfaction -0.397 0.058 0.000 -0.385
T1 Depressive feelings ~ Competence satisfaction -0.207 0.041 0.000 -0.260
T1 Depressive feelings ~ Relatedness satisfaction -0.110 0.044 0.013 -0.103
T1 Depressive feelings ~ Autonomy acquiescence 0.135 0.064 0.037 0.087
T1 Depressive feelings ~ Competence acquiescence 0.031 0.091 0.730 0.017
T1 Depressive feelings ~ Relatedness acquiescence -0.002 0.070 0.980 -0.001

The unexplained variance of T1 depressive feelings from needs in the six-factor model is .570
The unexplained variance T1 depressive feelings from needs in the acquiescence model is .567

B: Data From TUBITAK Project (Unique participants of Time 3)

Comparison of the six-factor and the acquiescence model

                      Six-factor Model Acquiescence Model
chisq                          974.122            997.460
chisq.scaled                   748.253            768.096
df                             237.000            243.000
pvalue                           0.000              0.000
cfi                              0.923              0.921
cfi.scaled                       0.930              0.928
tli                              0.910              0.910
tli.scaled                       0.919              0.919
srmr                             0.048              0.044
rmsea                            0.048              0.048
rmsea.ci.lower                   0.045              0.045
rmsea.ci.upper                   0.051              0.051
rmsea.scaled                     0.040              0.040
rmsea.ci.lower.scaled            0.037              0.037
rmsea.ci.upper.scaled            0.043              0.043


DV: T3 Vitality Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1374.907           1400.865
chisq.scaled                  1082.552           1104.960
df                             384.000            390.000
pvalue                           0.000              0.000
cfi                              0.920              0.918
cfi.scaled                       0.928              0.926
tli                              0.909              0.909
tli.scaled                       0.918              0.918
srmr                             0.048              0.044
rmsea                            0.045              0.045
rmsea.ci.lower                   0.042              0.042
rmsea.ci.upper                   0.047              0.047
rmsea.scaled                     0.037              0.038
rmsea.ci.lower.scaled            0.035              0.035
rmsea.ci.upper.scaled            0.040              0.040

Models for T3 Vitality:
Regression weights of T3 subjective vitality as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
T3 Subjective vitality ~ Autonomy satisfaction 0.492 0.410 0.230 0.349
T3 Subjective vitality ~ Competence satisfaction 0.204 0.309 0.510 0.157
T3 Subjective vitality ~ Relatedness satisfaction 0.077 0.219 0.723 0.050
T3 Subjective vitality ~ Autonomy frustration -0.114 0.120 0.342 -0.117
T3 Subjective vitality ~ Competence frustration -0.145 0.177 0.413 -0.126
T3 Subjective vitality ~ Relatedness frustration 0.081 0.117 0.490 0.071


Regression weights of T3 subjective vitality as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
T3 Subjective vitality ~ Autonomy satisfaction 0.514 0.096 0.000 0.352
T3 Subjective vitality ~ Competence satisfaction 0.436 0.100 0.000 0.300
T3 Subjective vitality ~ Relatedness satisfaction -0.003 0.070 0.960 -0.002
T3 Subjective vitality ~ Autonomy acquiescence 0.107 0.264 0.685 0.043
T3 Subjective vitality ~ Competence acquiescence 0.307 0.361 0.395 0.091
T3 Subjective vitality ~ Relatedness acquiescence 0.254 0.214 0.235 0.089

The unexplained variance of T3 vitality from needs in the six-factor model is .573
The unexplained variance of T3 vitality from needs in the acquiescence model is .578



DV: T3 Life Satisfaction Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1257.201           1273.794
chisq.scaled                   983.777            998.608
df                             356.000            362.000
pvalue                           0.000              0.000
cfi                              0.920              0.919
cfi.scaled                       0.929              0.928
tli                              0.909              0.909
tli.scaled                       0.919              0.919
srmr                             0.047              0.043
rmsea                            0.044              0.044
rmsea.ci.lower                   0.042              0.042
rmsea.ci.upper                   0.047              0.047
rmsea.scaled                     0.037              0.037
rmsea.ci.lower.scaled            0.035              0.035
rmsea.ci.upper.scaled            0.039              0.039

Models for T3 Life Satisfaction:
Regression weights of T3 life satisfaction as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
T3 Life satisfaction ~ Autonomy satisfaction 0.630 0.482 0.191 0.598
T3 Life satisfaction ~ Competence satisfaction -0.286 0.369 0.438 -0.290
T3 Life satisfaction ~ Relatedness satisfaction 0.151 0.235 0.519 0.132
T3 Life satisfaction ~ Autonomy frustration -0.023 0.149 0.875 -0.031
T3 Life satisfaction ~ Competence frustration -0.377 0.190 0.047 -0.432
T3 Life satisfaction ~ Relatedness frustration 0.138 0.116 0.232 0.160


Regression weights of T3 life satisfaction as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
T3 Life satisfaction ~ Autonomy satisfaction 0.474 0.081 0.000 0.434
T3 Life satisfaction ~ Competence satisfaction 0.233 0.084 0.006 0.209
T3 Life satisfaction ~ Relatedness satisfaction 0.045 0.055 0.418 0.037
T3 Life satisfaction ~ Autonomy acquiescence 0.200 0.261 0.442 0.104
T3 Life satisfaction ~ Competence acquiescence -0.379 0.347 0.276 -0.148
T3 Life satisfaction ~ Relatedness acquiescence 0.537 0.199 0.007 0.246

The unexplained variance of T3 life satisfaction from needs in the six-factor model is .529
The unexplained variance of T3 life satisfaction from needs in the acquiescence model is .537


DV: T3 Depressive Feelings Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1921.005           1935.911
chisq.scaled                  1573.881           1586.858
df                             506.000            512.000
pvalue                           0.000              0.000
cfi                              0.901              0.900
cfi.scaled                       0.910              0.909
tli                              0.890              0.891
tli.scaled                       0.900              0.900
srmr                             0.049              0.045
rmsea                            0.047              0.047
rmsea.ci.lower                   0.045              0.045
rmsea.ci.upper                   0.049              0.049
rmsea.scaled                     0.041              0.041
rmsea.ci.lower.scaled            0.039              0.039
rmsea.ci.upper.scaled            0.043              0.043

Models for T3 Depressive feelings:
Regression weights of T3 depressive feelings as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
T3 Depressive feelings ~ Autonomy satisfaction -0.484 0.347 0.163 -0.554
T3 Depressive feelings ~ Competence satisfaction 0.281 0.255 0.271 0.344
T3 Depressive feelings ~ Relatedness satisfaction 0.069 0.173 0.691 0.072
T3 Depressive feelings ~ Autonomy frustration 0.082 0.103 0.424 0.134
T3 Depressive feelings ~ Competence frustration 0.368 0.128 0.004 0.510
T3 Depressive feelings ~ Relatedness frustration 0.044 0.088 0.616 0.062


Regression weights of T3 depressive feelings as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
T3 Depressive feelings ~ Autonomy satisfaction -0.402 0.055 0.000 -0.447
T3 Depressive feelings ~ Competence satisfaction -0.264 0.060 0.000 -0.285
T3 Depressive feelings ~ Relatedness satisfaction -0.073 0.041 0.076 -0.072
T3 Depressive feelings ~ Autonomy acquiescence -0.074 0.168 0.658 -0.047
T3 Depressive feelings ~ Competence acquiescence 0.438 0.230 0.057 0.206
T3 Depressive feelings ~ Relatedness acquiescence -0.059 0.130 0.652 -0.033

The unexplained variance of T3 depressive feeligns from needs in the six-factor model is .416
The unexplained variance T3 depressive feeligns from needs in the acquiescence model is .422

C: Data from Edasu’s Thesis

Comparison of the six-factor and the acquiescence model

                      Six-factor Model Acquiescence Model
chisq                          527.054            515.788
chisq.scaled                   427.396            418.497
df                             237.000            243.000
pvalue                           0.000              0.000
cfi                              0.949              0.952
cfi.scaled                       0.958              0.961
tli                              0.940              0.945
tli.scaled                       0.951              0.956
srmr                             0.055              0.053
rmsea                            0.053              0.050
rmsea.ci.lower                   0.047              0.044
rmsea.ci.upper                   0.059              0.056
rmsea.scaled                     0.043              0.040
rmsea.ci.lower.scaled            0.037              0.034
rmsea.ci.upper.scaled            0.048              0.046
DV: Autonomy-supportive Parenting Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                          734.053            721.968
chisq.scaled                   624.243            613.433
df                             384.000            390.000
pvalue                           0.000              0.000
cfi                              0.948              0.951
cfi.scaled                       0.957              0.960
tli                              0.942              0.945
tli.scaled                       0.951              0.955
srmr                             0.051              0.051
rmsea                            0.045              0.044
rmsea.ci.lower                   0.040              0.039
rmsea.ci.upper                   0.050              0.049
rmsea.scaled                     0.038              0.036
rmsea.ci.lower.scaled            0.033              0.031
rmsea.ci.upper.scaled            0.043              0.041

Models for Autonomy supportive parenting:
Regression weights of Autonomy-supportive parenting as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
Autonomy-supportive parenting ~ Autonomy satisfaction 0.332 0.146 0.022 0.235
Autonomy-supportive parenting ~ Competence satisfaction -0.209 0.163 0.200 -0.163
Autonomy-supportive parenting ~ Relatedness satisfaction 0.502 0.134 0.000 0.320
Autonomy-supportive parenting ~ Autonomy frustration 0.048 0.133 0.721 0.041
Autonomy-supportive parenting ~ Competence frustration -0.225 0.158 0.153 -0.212
Autonomy-supportive parenting ~ Relatedness frustration 0.049 0.100 0.625 0.047


Regression weights of Autonomy-supportive parenting as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
Autonomy-supportive parenting ~ Autonomy satisfaction 0.268 0.128 0.036 0.169
Autonomy-supportive parenting ~ Competence satisfaction 0.031 0.105 0.770 0.022
Autonomy-supportive parenting ~ Relatedness satisfaction 0.366 0.101 0.000 0.248
Autonomy-supportive parenting ~ Autonomy acquiescence 0.343 0.236 0.146 0.127
Autonomy-supportive parenting ~ Competence acquiescence -0.424 0.259 0.101 -0.147
Autonomy-supportive parenting ~ Relatedness acquiescence 0.610 0.215 0.005 0.228

The unexplained variance of autonomy-supportive parenting from needs in the six-factor model is .798
The unexplained variance of autonomy-supportive parenting from needs in the acquiescence model is .787

Note: Based on the understanding that “aod” items assess autonomy-supportive parenting

D: Data from Esin and Sule’s Study

Comparison of the six-factor and the acquiescence model

                      Six-factor Model Acquiescence Model
chisq                          732.810            737.745
chisq.scaled                   605.174            609.967
df                             237.000            243.000
pvalue                           0.000              0.000
cfi                              0.906              0.906
cfi.scaled                       0.915              0.916
tli                              0.891              0.894
tli.scaled                       0.901              0.904
srmr                             0.048              0.049
rmsea                            0.052              0.051
rmsea.ci.lower                   0.048              0.047
rmsea.ci.upper                   0.056              0.056
rmsea.scaled                     0.045              0.044
rmsea.ci.lower.scaled            0.041              0.040
rmsea.ci.upper.scaled            0.049              0.048
DV: Psychological Well-being Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1372.198           1373.346
chisq.scaled                  1105.590           1107.676
df                             443.000            449.000
pvalue                           0.000              0.000
cfi                              0.884              0.884
cfi.scaled                       0.893              0.894
tli                              0.870              0.872
tli.scaled                       0.881              0.883
srmr                             0.051              0.051
rmsea                            0.053              0.052
rmsea.ci.lower                   0.050              0.049
rmsea.ci.upper                   0.056              0.055
rmsea.scaled                     0.044              0.044
rmsea.ci.lower.scaled            0.042              0.041
rmsea.ci.upper.scaled            0.047              0.047
Models for psychological well-being:

Regression weights of psychological well-being as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
Psychological well-being ~ Autonomy satisfaction 1.335 0.482 0.006 0.636
Psychological well-being ~ Competence satisfaction 1.039 0.449 0.021 0.502
Psychological well-being ~ Relatedness satisfaction -0.527 0.470 0.262 -0.236
Psychological well-being ~ Autonomy frustration 0.182 0.238 0.445 0.124
Psychological well-being ~ Competence frustration 0.483 0.348 0.165 0.330
Psychological well-being ~ Relatedness frustration -1.216 0.557 0.029 -0.540


Regression weights of psychological well-being as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
Psychological well-being ~ Autonomy satisfaction 0.810 0.134 0.000 0.374
Psychological well-being ~ Competence satisfaction 0.724 0.120 0.000 0.323
Psychological well-being ~ Relatedness satisfaction 0.528 0.109 0.000 0.233
Psychological well-being ~ Autonomy acquiescence 1.183 0.464 0.011 0.310
Psychological well-being ~ Competence acquiescence 1.045 0.506 0.039 0.216
Psychological well-being ~ Relatedness acquiescence -0.798 0.474 0.092 -0.185

The unexplained variance of psychological well-being from needs in the six-factor model is .201
The unexplained variance of psychological well-being from needs in the acquiescence model is .219

DV: Psychological Control Regressed on needs

Comparison of the six factor model and the acquiescence model fit indices

                      Six-factor Model Acquiescence Model
chisq                         1136.732           1140.213
chisq.scaled                   961.685            964.953
df                             443.000            449.000
pvalue                           0.000              0.000
cfi                              0.899              0.899
cfi.scaled                       0.907              0.908
tli                              0.887              0.889
tli.scaled                       0.896              0.898
srmr                             0.046              0.046
rmsea                            0.045              0.045
rmsea.ci.lower                   0.042              0.042
rmsea.ci.upper                   0.048              0.048
rmsea.scaled                     0.039              0.039
rmsea.ci.lower.scaled            0.036              0.036
rmsea.ci.upper.scaled            0.042              0.042
Models for psychological control:

Regression weights of psychological control as predicted by needs satisfaction and frustration latent factors:

dv iv est se p-value std
Psychological control ~ Autonomy satisfaction 0.045 0.130 0.729 0.078
Psychological control ~ Competence satisfaction 0.096 0.129 0.454 0.167
Psychological control ~ Relatedness satisfaction -0.073 0.120 0.544 -0.120
Psychological control ~ Autonomy frustration 0.122 0.071 0.087 0.299
Psychological control ~ Competence frustration 0.114 0.094 0.223 0.287
Psychological control ~ Relatedness frustration -0.041 0.139 0.770 -0.065


Regression weights of psychological control as predicted by three omnibus needs and acquiescence bias latent factors:

dv iv est se p-value std
Psychological control ~ Autonomy satisfaction -0.134 0.054 0.013 -0.227
Psychological control ~ Competence satisfaction -0.037 0.051 0.467 -0.060
Psychological control ~ Relatedness satisfaction -0.044 0.038 0.246 -0.071
Psychological control ~ Autonomy acquiescence 0.152 0.153 0.323 0.146
Psychological control ~ Competence acquiescence 0.178 0.172 0.301 0.132
Psychological control ~ Relatedness acquiescence -0.069 0.146 0.639 -0.058

The unexplained variance of psychological control from needs in the six-factor model is .849
The unexplained variance of psychological control from needs in the acquiescence model is .852