Final estimation of fixed effects:
Fixed Effect
| Coefficient
| Standard error
| t-ratio
| Approx. d.f.
| p-value
| For INTRCPT1, β0
| INTRCPT2, γ00
| 393.412723
| 4.342347
| 90.599
| 189
| <0.001
| MESCS, γ01
| 52.595844
| 3.093904
| 17.000
| 189
| <0.001
| For ESCS slope, β1
| INTRCPT2, γ10
| 10.738678
| 1.334174
| 8.049
| 45
| <0.001
| For JOYREAD slope, β2
| INTRCPT2, γ20
| 10.610259
| 1.335765
| 7.943
| 190
| <0.001
| For FEMALE slope, β3
| INTRCPT2, γ30
| -24.912463
| 2.286211
| -10.897
| 190
| <0.001
| For PREPRIM slope, β4
| INTRCPT2, γ40
| 32.301213
| 3.919128
| 8.242
| 26
| <0.001
| For REPEAT2 slope, β5
| INTRCPT2, γ50
| -20.213040
| 3.879550
| -5.210
| 134
| <0.001
| For NUCLEAR slope, β6
| INTRCPT2, γ60
| 13.971014
| 2.771626
| 5.041
| 56
| <0.001
|
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
| Coefficient
| Standard error
| t-ratio
| Approx. d.f.
| p-value
| For INTRCPT1, β0
| INTRCPT2, γ00
| 393.412723
| 5.104749
| 77.068
| 189
| <0.001
| MESCS, γ01
| 52.595844
| 4.594616
| 11.447
| 189
| <0.001
| For ESCS slope, β1
| INTRCPT2, γ10
| 10.738678
| 1.516132
| 7.083
| 75
| <0.001
| For JOYREAD slope, β2
| INTRCPT2, γ20
| 10.610259
| 1.476999
| 7.184
| 190
| <0.001
| For FEMALE slope, β3
| INTRCPT2, γ30
| -24.912463
| 2.575962
| -9.671
| 190
| <0.001
| For PREPRIM slope, β4
| INTRCPT2, γ40
| 32.301213
| 4.306455
| 7.501
| 38
| <0.001
| For REPEAT2 slope, β5
| INTRCPT2, γ50
| -20.213040
| 4.412887
| -4.580
| 190
| <0.001
| For NUCLEAR slope, β6
| INTRCPT2, γ60
| 13.971014
| 3.187465
| 4.383
| 98
| <0.001
|
Final estimation of variance components
Random Effect
| Standard Deviation
| Variance Component
| d.f.
| χ2
| p-value
| INTRCPT1, u0
| 38.05933
| 1448.51284
| 129
| 266.06690
| <0.001
| ESCS slope, u1
| 5.19214
| 26.95827
| 130
| 140.85195
| 0.243
| JOYREAD slope, u2
| 6.83852
| 46.76537
| 130
| 155.52099
| 0.063
| FEMALE slope, u3
| 11.07854
| 122.73415
| 130
| 171.90097
| 0.008
| PREPRIM slope, u4
| 14.18945
| 201.34060
| 130
| 178.78602
| 0.003
| REPEAT2 slope, u5
| 29.24832
| 855.46432
| 130
| 269.39242
| <0.001
| NUCLEAR slope, u6
| 14.75610
| 217.74253
| 130
| 150.02009
| 0.111
| level-1, r
| 64.33918
| 4139.53021
|
|
|
|
Note: The chi-square statistics reported above are based on only 131 of 191 units that had sufficient data for computation. Fixed effects and variance components are based on all the data. 4. MODELO 3: Modelo completo Summary of the model specified
Level-1 Model
PV1MATHij = β0j + β1j*(ESCSij) + β2j*(JOYREADij) + β3j*(FEMALEij) + β4j*(PREPRIMij) + β5j*(REPEAT2ij) + β6j*(NUCLEARij) + rij
Level-2 Model
β0j = γ00 + γ01*(MESCSj) + u0j β1j = γ10 + u1j β2j = γ20 + γ21*(MESCSj) + u2j β3j = γ30 + u3j β4j = γ40 + u4j β5j = γ50 + γ51*(MESCSj) + u5j β6j = γ60 + u6j
ESCS has been centered around the group mean.
MESCS has been centered around the grand mean.
Mixed Model
PV1MATHij = γ00 + γ01*MESCSj + γ10*ESCSij + γ20*JOYREADij + γ21*MESCSj*JOYREADij + γ30*FEMALEij + γ40*PREPRIMij + γ50*REPEAT2ij + γ51*MESCSj*REPEAT2ij + γ60*NUCLEARij + u0j + u1j*ESCSij + u2j*JOYREADij + u3j*FEMALEij + u4j*PREPRIMij + u5j*REPEAT2ij + u6j*NUCLEARij + rij
The Averaged Results for this Plausible Value Run
σ2 = 4135.82466
Standard Error of σ2 = 104.67779
τ
INTRCPT1,β0
| 1328.05154
| -1.31129
| 116.56140
| -120.75280
| -25.36031
| -442.01023
| -234.44021
| ESCS,β1
| -1.31129
| 24.84992
| 7.94763
| 29.72383
| -21.35026
| -68.54676
| 20.74313
| JOYREAD,β2
| 116.56140
| 7.94763
| 41.63141
| 2.60231
| -7.43451
| -49.37616
| -15.49722
| FEMALE,β3
| -120.75280
| 29.72383
| 2.60231
| 118.91733
| -67.80061
| -42.57429
| 47.26436
| PREPRIM,β4
| -25.36031
| -21.35026
| -7.43451
| -67.80061
| 205.92744
| 10.03476
| -24.55914
| REPEAT2,β5
| -442.01023
| -68.54676
| -49.37616
| -42.57429
| 10.03476
| 683.52706
| -77.67882
| NUCLEAR,β6
| -234.44021
| 20.74313
| -15.49722
| 47.26436
| -24.55914
| -77.67882
| 214.41195
|
INTRCPT1,β0
| 1328.05154
| -1.31129
| 116.56140
| -120.75280
| -25.36031
| -442.01023
| -234.44021
| ESCS,β1
| -1.31129
| 24.84992
| 7.94763
| 29.72383
| -21.35026
| -68.54676
| 20.74313
| JOYREAD,β2
| 116.56140
| 7.94763
| 41.63141
| 2.60231
| -7.43451
| -49.37616
| -15.49722
| FEMALE,β3
| -120.75280
| 29.72383
| 2.60231
| 118.91733
| -67.80061
| -42.57429
| 47.26436
| PREPRIM,β4
| -25.36031
| -21.35026
| -7.43451
| -67.80061
| 205.92744
| 10.03476
| -24.55914
| REPEAT2,β5
| -442.01023
| -68.54676
| -49.37616
| -42.57429
| 10.03476
| 683.52706
| -77.67882
| NUCLEAR,β6
| -234.44021
| 20.74313
| -15.49722
| 47.26436
| -24.55914
| -77.67882
| 214.41195
|
Standard errors of τ
INTRCPT1,β0
| 384.36891
| 62.92587
| 75.44226
| 146.40615
| 181.44742
| 219.29118
| 146.75682
| ESCS,β1
| 62.92587
| 19.76584
| 17.19191
| 30.76626
| 45.92647
| 46.31475
| 32.40601
| JOYREAD,β2
| 75.44226
| 17.19191
| 27.08439
| 36.21358
| 46.34717
| 66.49318
| 51.91580
| FEMALE,β3
| 146.40615
| 30.76626
| 36.21358
| 85.75514
| 99.40055
| 116.85690
| 64.77201
| PREPRIM,β4
| 181.44742
| 45.92647
| 46.34717
| 99.40055
| 145.22335
| 145.50667
| 120.71895
| REPEAT2,β5
| 219.29118
| 46.31475
| 66.49318
| 116.85690
| 145.50667
| 193.80892
| 108.00288
| NUCLEAR,β6
| 146.75682
| 32.40601
| 51.91580
| 64.77201
| 120.71895
| 108.00288
| 97.15655
|
INTRCPT1,β0
| 384.36891
| 62.92587
| 75.44226
| 146.40615
| 181.44742
| 219.29118
| 146.75682
| ESCS,β1
| 62.92587
| 19.76584
| 17.19191
| 30.76626
| 45.92647
| 46.31475
| 32.40601
| JOYREAD,β2
| 75.44226
| 17.19191
| 27.08439
| 36.21358
| 46.34717
| 66.49318
| 51.91580
| FEMALE,β3
| 146.40615
| 30.76626
| 36.21358
| 85.75514
| 99.40055
| 116.85690
| 64.77201
| PREPRIM,β4
| 181.44742
| 45.92647
| 46.34717
| 99.40055
| 145.22335
| 145.50667
| 120.71895
| REPEAT2,β5
| 219.29118
| 46.31475
| 66.49318
| 116.85690
| 145.50667
| 193.80892
| 108.00288
| NUCLEAR,β6
| 146.75682
| 32.40601
| 51.91580
| 64.77201
| 120.71895
| 108.00288
| 97.15655
|
τ (as correlations)
INTRCPT1,β0
| 1.000
| -0.007
| 0.496
| -0.304
| -0.048
| -0.464
| -0.439
| ESCS,β1
| -0.007
| 1.000
| 0.247
| 0.547
| -0.298
| -0.526
| 0.284
| JOYREAD,β2
| 0.496
| 0.247
| 1.000
| 0.037
| -0.080
| -0.293
| -0.164
| FEMALE,β3
| -0.304
| 0.547
| 0.037
| 1.000
| -0.433
| -0.149
| 0.296
| PREPRIM,β4
| -0.048
| -0.298
| -0.080
| -0.433
| 1.000
| 0.027
| -0.117
| REPEAT2,β5
| -0.464
| -0.526
| -0.293
| -0.149
| 0.027
| 1.000
| -0.203
| NUCLEAR,β6
| -0.439
| 0.284
| -0.164
| 0.296
| -0.117
| -0.203
| 1.000
|
Random level-1 coefficient
| Reliability estimate
| INTRCPT1,β0
| 0.415
| ESCS,β1
| 0.113
| JOYREAD,β2
| 0.126
| FEMALE,β3
| 0.130
| PREPRIM,β4
| 0.137
| REPEAT2,β5
| 0.359
| NUCLEAR,β6
| 0.206
|
Note: The reliability estimates reported above are based on only 131 of 191 units that had sufficient data for computation. Fixed effects and variance components are based on all the data.
Final estimation of fixed effects:
Fixed Effect
| Coefficient
| Standard error
| t-ratio
| Approx. d.f.
| p-value
| For INTRCPT1, β0
| INTRCPT2, γ00
| 391.716811
| 4.245442
| 92.268
| 189
| <0.001
| MESCS, γ01
| 59.358529
| 3.295436
| 18.012
| 189
| <0.001
| For ESCS slope, β1
| INTRCPT2, γ10
| 10.623107
| 1.332067
| 7.975
| 43
| <0.001
| For JOYREAD slope, β2
| INTRCPT2, γ20
| 9.564503
| 1.365188
| 7.006
| 189
| <0.001
| MESCS, γ21
| 3.502513
| 1.857053
| 1.886
| 24
| 0.071
| For FEMALE slope, β3
| INTRCPT2, γ30
| -25.148539
| 2.300380
| -10.932
| 190
| <0.001
| For PREPRIM slope, β4
| INTRCPT2, γ40
| 32.783498
| 3.860209
| 8.493
| 29
| <0.001
| For REPEAT2 slope, β5
| INTRCPT2, γ50
| -25.113559
| 3.864668
| -6.498
| 160
| <0.001
| MESCS, γ51
| -25.810287
| 5.795532
| -4.453
| 189
| <0.001
| For NUCLEAR slope, β6
| INTRCPT2, γ60
| 14.010841
| 2.764822
| 5.068
| 55
| <0.001
|
Final estimation of fixed effects (with robust standard errors)
Fixed Effect
| Coefficient
| Standard error
| t-ratio
| Approx. d.f.
| p-value
| For INTRCPT1, β0
| INTRCPT2, γ00
| 391.716811
| 4.900385
| 79.936
| 189
| <0.001
| MESCS, γ01
| 59.358529
| 4.782170
| 12.412
| 189
| <0.001
| For ESCS slope, β1
| INTRCPT2, γ10
| 10.623107
| 1.503079
| 7.068
| 70
| <0.001
| For JOYREAD slope, β2
| INTRCPT2, γ20
| 9.564503
| 1.401675
| 6.824
| 189
| <0.001
| MESCS, γ21
| 3.502513
| 2.046290
| 1.712
| 36
| 0.096
| For FEMALE slope, β3
| INTRCPT2, γ30
| -25.148539
| 2.566348
| -9.799
| 190
| <0.001
| For PREPRIM slope, β4
| INTRCPT2, γ40
| 32.783498
| 4.267180
| 7.683
| 43
| <0.001
| For REPEAT2 slope, β5
| INTRCPT2, γ50
| -25.113559
| 4.383290
| -5.729
| 189
| <0.001
| MESCS, γ51
| -25.810287
| 6.342171
| -4.070
| 189
| <0.001
| For NUCLEAR slope, β6
| INTRCPT2, γ60
| 14.010841
| 3.178531
| 4.408
| 97
| <0.001
|
Final estimation of variance components
Random Effect
| Standard Deviation
| Variance Component
| d.f.
| χ2
| p-value
| INTRCPT1, u0
| 36.44244
| 1328.05154
| 129
| 259.89108
| <0.001
| ESCS slope, u1
| 4.98497
| 24.84992
| 130
| 140.79830
| 0.244
| JOYREAD slope, u2
| 6.45224
| 41.63141
| 129
| 153.56009
| 0.069
| FEMALE slope, u3
| 10.90492
| 118.91733
| 130
| 171.81938
| 0.008
| PREPRIM slope, u4
| 14.35017
| 205.92744
| 130
| 178.92355
| 0.003
| REPEAT2 slope, u5
| 26.14435
| 683.52706
| 129
| 253.77678
| <0.001
| NUCLEAR slope, u6
| 14.64281
| 214.41195
| 130
| 150.13270
| 0.109
| level-1, r
| 64.31038
| 4135.82466
|
|
|
|
Note: The chi-square statistics reported above are based on only 131 of 191 units that had sufficient data for computation. Fixed effects and variance components are based on all the data.
|