Jason T. Newsom, Richard N. Jones, & Scott M. Hofer.

Longitudinal data analysis: A practical guide for researchers in aging, health, and social sciences

 

CHAPTER 7

 

Shaw BA & Liang J

 

 

Table 7.1 Multilevel Regression of BMI over Time &

Table 7.2 Multilevel Regression of BMI over Time, baseline age, and gender

 

Model 1

 

Bmi = body mass index

Ctime = time centered

 

 

MIXED bmi WITH ctime

  /METHOD = REML

  /PRINT = SOLUTION TESTCOV HISTORY

  /FIXED = ctime | SSTYPE(3)

  /RANDOM = INTERCEPT  ctime | SUBJECT(id) COVTYPE(UN).

 

 

Mixed Model Analysis

 

[DataSet1] E:\Sociometric\Chpt 7\chpt7.sav

 

 

Model Dimension(b)

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|                                 |Number of Levels|Covariance Structure|Number of Parameters|Subject Variables|

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Fixed Effects |Intercept         |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime             |1               |                    |1                   |                 |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Random Effects|Intercept + ctimea|2               |Unstructured        |3                   |id               |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Residual                         |                |                    |1                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|Total                            |4               |                    |6                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

a. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Iteration History(b)

|---------|-----------|-----------------------|----------------------------|------------------------------------------------------------------------|-------------------------------|

|Iteration|Update Type|Number of Step-halvings|-2 Restricted Log Likelihood|Covariance Parameters                                                   |Fixed Effect Parameters        |

|         |           |                       |                            |---------------------|--------------------------------------------------|-----------------------|-------|

|         |           |                       |                            |Residual             |Intercept + ctime [subject = id]                  |Intercept              |ctime  |

|         |           |                       |                            |                     |--------------------------------|--------|--------|                       |       |

|         |           |                       |                            |                     |UN (1,1)                        |UN (2,1)|UN (2,2)|                       |       |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|

|0        |Initial    |0                      |238653.310                  |6.652934             |6.652934                        |.000000 |6.652934|28.083445              |.056355|

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|

|1        |Scoring    |0                      |193434.577                  |2.185180             |25.898969                       |.262911 |.063819 |28.097882              |.053821|

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|

|2        |Newton     |0                      |193433.026                  |2.170700             |26.032260                       |.266282 |.062630 |28.097883              |.053821|

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|

|3        |Newton     |0                      |193433.025                  |2.170888             |26.033624                       |.266254 |.062671 |28.097883              |.053821|

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|

|4        |Newton     |0                      |193433.025a                 |2.170888             |26.033624                       |.266254 |.062671 |28.097883              |.053821|

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|

a. All convergence criteria are satisfied.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Information Criteria(a)

|------------------------------------|----------|

|-2 Restricted Log Likelihood        |193433.025|

|------------------------------------|----------|

|Akaike's Information Criterion (AIC)|193441.025|

|------------------------------------|----------|

|Hurvich and Tsai's Criterion (AICC) |193441.026|

|------------------------------------|----------|

|Bozdogan's Criterion (CAIC)         |193479.675|

|------------------------------------|----------|

|Schwarz's Bayesian Criterion (BIC)  |193475.675|

|------------------------------------|----------|

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Fixed Effects

 

Type III Tests of Fixed Effects(a)

|---------|------------|--------------|----------|----|

|Source   |Numerator df|Denominator df|F         |Sig.|

|---------|------------|--------------|----------|----|

|Intercept|1           |7372.088      |220359.180|.000|

|---------|------------|--------------|----------|----|

|ctime    |1           |7253.794      |224.249   |.000|

|---------|------------|--------------|----------|----|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Estimates of Fixed Effects(a)

|---------|---------|----------|--------|-------|----|-----------------------------------|

|Parameter|Estimate |Std. Error|df      |t      |Sig.|95% Confidence Interval            |

|         |         |          |        |       |    |-----------------------|-----------|

|         |         |          |        |       |    |Lower Bound            |Upper Bound|

|---------|---------|----------|--------|-------|----|-----------------------|-----------|

|Intercept|28.097883|.059856   |7372.088|469.424|.000|27.980548              |28.215218  |

|---------|---------|----------|--------|-------|----|-----------------------|-----------|

|ctime    |.053821  |.003594   |7253.794|14.975 |.000|.046775                |.060866    |

|---------|---------|----------|--------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Covariance Parameters

 

Estimates of Covariance Parameters(a)

|-----------------------------------------|---------|----------|-------|----|-----------------------------------|

|Parameter                                |Estimate |Std. Error|Wald Z |Sig.|95% Confidence Interval            |

|                                |--------|         |          |       |    |-----------------------|-----------|

|                                         |         |          |       |    |Lower Bound            |Upper Bound|

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Residual                                 |2.170888 |.018361   |118.234|.000|2.135198               |2.207175   |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Intercept + ctime [subject = id]|UN (1,1)|26.033624|.435314   |59.804 |.000|25.194253              |26.900959  |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,1)|.266254  |.018801   |14.162 |.000|.229405                |.303103    |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,2)|.062671  |.001593   |39.342 |.000|.059625                |.065872    |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

Table 7.2 Multilevel Regression of BMI over Time, baseline age, and gender

 

Model 2

 

 

 

 

MIXED bmi WITH ctime Zage

  /METHOD = REML

  /PRINT = SOLUTION TESTCOV HISTORY

  /FIXED = ctime Zage zage*ctime| SSTYPE(3)

  /RANDOM = INTERCEPT  ctime  | SUBJECT(id) COVTYPE(UN).

 

 

Mixed Model Analysis

 

[DataSet1] E:\Sociometric\Chpt 7\chpt7.sav

 

 

Model Dimension(b)

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|                                 |Number of Levels|Covariance Structure|Number of Parameters|Subject Variables|

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Fixed Effects |Intercept         |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime             |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zage              |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zage      |1               |                    |1                   |                 |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Random Effects|Intercept + ctimea|2               |Unstructured        |3                   |id               |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Residual                         |                |                    |1                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|Total                            |6               |                    |8                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

a. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Iteration History(b)

|---------|-----------|-----------------------|----------------------------|------------------------------------------------------------------------|-----------------------------------------------------|

|Iteration|Update Type|Number of Step-halvings|-2 Restricted Log Likelihood|Covariance Parameters                                                   |Fixed Effect Parameters                              |

|         |           |                       |                            |---------------------|--------------------------------------------------|-----------------------|-------|--------|------------|

|         |           |                       |                            |Residual             |Intercept + ctime [subject = id]                  |Intercept              |ctime  |Zage    |ctime * Zage|

|         |           |                       |                            |                     |--------------------------------|--------|--------|                       |       |        |            |

|         |           |                       |                            |                     |UN (1,1)                        |UN (2,1)|UN (2,2)|                       |       |        |            |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|--------|------------|

|0        |Initial    |0                      |238548.123                  |6.629755             |6.629755                        |.000000 |6.629755|28.084109              |.056427|-.297205|-.043921    |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|--------|------------|

|1        |Scoring    |0                      |193293.687                  |2.184652             |25.816794                       |.250010 |.062034 |28.098089              |.053945|-.298531|-.043147    |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|--------|------------|

|2        |Newton     |0                      |193292.079                  |2.170820             |25.945958                       |.253684 |.060772 |28.098087              |.053946|-.298528|-.043147    |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|--------|------------|

|3        |Newton     |0                      |193292.078                  |2.170991             |25.947289                       |.253641 |.060818 |28.098088              |.053946|-.298529|-.043147    |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|--------|------------|

|4        |Newton     |0                      |193292.078a                 |2.170991             |25.947290                       |.253641 |.060818 |28.098088              |.053946|-.298529|-.043147    |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------------|-------|--------|------------|

a. All convergence criteria are satisfied.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Information Criteria(a)

|------------------------------------|----------|

|-2 Restricted Log Likelihood        |193292.078|

|------------------------------------|----------|

|Akaike's Information Criterion (AIC)|193300.078|

|------------------------------------|----------|

|Hurvich and Tsai's Criterion (AICC) |193300.079|

|------------------------------------|----------|

|Bozdogan's Criterion (CAIC)         |193338.727|

|------------------------------------|----------|

|Schwarz's Bayesian Criterion (BIC)  |193334.727|

|------------------------------------|----------|

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Fixed Effects

 

Type III Tests of Fixed Effects(a)

|------------|------------|--------------|----------|----|

|Source      |Numerator df|Denominator df|F         |Sig.|

|------------|------------|--------------|----------|----|

|Intercept   |1           |7371.195      |221086.402|.000|

|------------|------------|--------------|----------|----|

|ctime       |1           |7251.856      |229.794   |.000|

|------------|------------|--------------|----------|----|

|Zage        |1           |7375.392      |24.945    |.000|

|------------|------------|--------------|----------|----|

|ctime * Zage|1           |7270.267      |146.455   |.000|

|------------|------------|--------------|----------|----|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Estimates of Fixed Effects(a)

|------------|---------|----------|--------|-------|----|-----------------------------------|

|Parameter   |Estimate |Std. Error|df      |t      |Sig.|95% Confidence Interval            |

|            |         |          |        |       |    |-----------------------|-----------|

|            |         |          |        |       |    |Lower Bound            |Upper Bound|

|------------|---------|----------|--------|-------|----|-----------------------|-----------|

|Intercept   |28.098088|.059758   |7371.195|470.198|.000|27.980945              |28.215230  |

|------------|---------|----------|--------|-------|----|-----------------------|-----------|

|ctime       |.053946  |.003559   |7251.856|15.159 |.000|.046970                |.060922    |

|------------|---------|----------|--------|-------|----|-----------------------|-----------|

|Zage        |-.298529 |.059771   |7375.392|-4.995 |.000|-.415698               |-.181359   |

|------------|---------|----------|--------|-------|----|-----------------------|-----------|

|ctime * Zage|-.043147 |.003565   |7270.267|-12.102|.000|-.050136               |-.036158   |

|------------|---------|----------|--------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Covariance Parameters

 

Estimates of Covariance Parameters(a)

|-----------------------------------------|---------|----------|-------|----|-----------------------------------|

|Parameter                                |Estimate |Std. Error|Wald Z |Sig.|95% Confidence Interval            |

|                                |--------|         |          |       |    |-----------------------|-----------|

|                                         |         |          |       |    |Lower Bound            |Upper Bound|

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Residual                                 |2.170991 |.018362   |118.233|.000|2.135299               |2.207280   |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Intercept + ctime [subject = id]|UN (1,1)|25.947290|.433916   |59.798 |.000|25.110617              |26.811840  |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,1)|.253641  |.018568   |13.660 |.000|.217249                |.290033    |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,2)|.060818  |.001563   |38.916 |.000|.057831                |.063959    |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Table 7.2 Multilevel Regression of BMI over Time, baseline age, and gender

 

Model 3

 

 

 

MIXED bmi WITH ctime Zage  zgender

  /METHOD = REML

  /PRINT = SOLUTION TESTCOV HISTORY

  /FIXED = ctime Zage Zgender zage*ctime zgender*ctime| SSTYPE(3)

  /RANDOM = INTERCEPT  ctime  | SUBJECT(id) COVTYPE(UN).

 

 

Mixed Model Analysis

 

[DataSet1] E:\Sociometric\Chpt 7\chpt7.sav

 

 

Model Dimension(b)

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|                                 |Number of Levels|Covariance Structure|Number of Parameters|Subject Variables|

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Fixed Effects |Intercept         |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime             |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zage              |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zgender           |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zage      |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zgender   |1               |                    |1                   |                 |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Random Effects|Intercept + ctimea|2               |Unstructured        |3                   |id               |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Residual                         |                |                    |1                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|Total                            |8               |                    |10                  |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

a. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Iteration History(b)

 

|--------|-----------|-----------------------|----------------------------|------------------------------------------------------------------------|-------------------------------------------------------------------------|

|Iteration|Update Type|Number of Step-halvings|-2 Restricted Log Likelihood|Covariance Parameters                                                   |Fixed Effect Parameters                                                 |

|         |           |                       |                            |---------------------|--------------------------------------------------|-----------------|-------|--------|--------|------------|---------------|

|         |           |                       |                            |Residual             |Intercept + ctime [subject = id]                  |Intercept        |ctime  |Zage    |Zgender |ctime * Zage|ctime * Zgender|

|         |           |                       |                            |                     |--------------------------------|--------|--------|                 |       |        |        |            |               |

|         |           |                       |                            |                     |UN (1,1)                        |UN (2,1)|UN (2,2)|                 |       |        |        |            |               |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------|-------|--------|--------|------------|---------------|

|0        |Initial    |0                      |238556.488                  |6.629735             |6.629735                        |.000000 |6.629735|28.084212        |.056410|-.287549|-.042211|-.041899    |-.008865       |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|---------------- |-------|--------|--------|------------|---------------|

|1        |Scoring    |0                      |193302.338                  |2.184501             |25.819453                       |.249678 |.061921 |28.098042        |.053971|-.284692|-.060562|-.041492    |-.007249       |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------|-------|--------|--------|------------|---------------|

|2        |Newton     |0                      |193300.840                  |2.170853             |25.945780                       |.253468 |.060739 |28.098040        |.053973|-.284686|-.060575|-.041491    |-.007253       |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------|-------|--------|--------|------------|---------------|

|3        |Newton     |0                      |193300.839                  |2.171021             |25.947073                       |.253425 |.060780 |28.098040        |.053973|-.284686|-.060575|-.041491    |-.007253       |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------|-------|--------|--------|------------|---------------|

|4        |Newton     |0                      |193300.839a                 |2.171021             |25.947074                       |.253425 |.060780 |28.098040        |.053973|-.284686|-.060575|-.041491    |-.007253       |

|---------|-----------|-----------------------|----------------------------|---------------------|--------------------------------|--------|--------|-----------------|-------|--------|--------|------------|---------------|

a. All convergence criteria are satisfied.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Information Criteria(a)

|------------------------------------|----------|

|-2 Restricted Log Likelihood        |193300.839|

|------------------------------------|----------|

|Akaike's Information Criterion (AIC)|193308.839|

|------------------------------------|----------|

|Hurvich and Tsai's Criterion (AICC) |193308.840|

|------------------------------------|----------|

|Bozdogan's Criterion (CAIC)         |193347.488|

|------------------------------------|----------|

|Schwarz's Bayesian Criterion (BIC)  |193343.488|

|------------------------------------|----------|

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Fixed Effects

 

Type III Tests of Fixed Effects(a)

|---------------|------------|--------------|----------|----|

|Source         |Numerator df|Denominator df|F         |Sig.|

|---------------|------------|--------------|----------|----|

|Intercept      |1           |7370.311      |221087.384|.000|

|---------------|------------|--------------|----------|----|

|ctime          |1           |7250.988      |230.108   |.000|

|---------------|------------|--------------|----------|----|

|Zage           |1           |7374.171      |21.498    |.000|

|---------------|------------|--------------|----------|----|

|Zgender        |1           |7369.171      |.974      |.324|

|---------------|------------|--------------|----------|----|

|ctime * Zage   |1           |7264.261      |128.462   |.000|

|---------------|------------|--------------|----------|----|

|ctime * Zgender|1           |7238.129      |3.944     |.047|

|---------------|------------|--------------|----------|----|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Estimates of Fixed Effects(a)

|---------------|---------|----------|--------|-------|----|------------------------------------|

|Parameter      |Estimate |Std. Error|df      |t      |Sig.|95% Confidence Interval             |

|               |         |          |        |       |    |-----------------------|------------|

|               |         |          |        |       |    |Lower Bound            |Upper Bound |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|Intercept      |28.098040|.059758   |7370.311|470.199|.000|27.980898              |28.215182   |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|ctime          |.053973  |.003558   |7250.988|15.169 |.000|.046998                |.060947     |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|Zage           |-.284686 |.061400   |7374.171|-4.637 |.000|-.405047               |-.164325    |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|Zgender        |-.060575 |.061388   |7369.171|-.987  |.324|-.180914               |.059764     |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|ctime * Zage   |-.041491 |.003661   |7264.261|-11.334|.000|-.048668               |-.034315    |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|ctime * Zgender|-.007253 |.003652   |7238.129|-1.986 |.047|-.014413               |-9.384473E-5|

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Covariance Parameters

 

Estimates of Covariance Parameters(a)

|-----------------------------------------|---------|----------|-------|----|-----------------------------------|

|Parameter                                |Estimate |Std. Error|Wald Z |Sig.|95% Confidence Interval            |

|                                |--------|         |          |       |    |-----------------------|-----------|

|                                         |         |          |       |    |Lower Bound            |Upper Bound|

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Residual                                 |2.171021 |.018362   |118.232|.000|2.135328               |2.207310   |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Intercept + ctime [subject = id]|UN (1,1)|25.947074|.433938   |59.794 |.000|25.110358              |26.811670  |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,1)|.253425  |.018564   |13.651 |.000|.217040                |.289810    |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,2)|.060780  |.001562   |38.904 |.000|.057794                |.063920    |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

Table 7.2 Multilevel Regression of BMI over Time, baseline age, and gender

 

Model 4

 

 

 

MIXED bmi WITH ctime Zage  zgender genderage

  /METHOD = REML

  /PRINT = SOLUTION TESTCOV HISTORY

  /FIXED = ctime Zage Zgender zage*ctime zgender*ctime genderage| SSTYPE(3)

  /RANDOM = INTERCEPT  ctime  | SUBJECT(id) COVTYPE(UN).

 

 

Mixed Model Analysis

 

[DataSet1] E:\Sociometric\Chpt 7\chpt7.sav

 

 

Model Dimension(b)

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|                                 |Number of Levels|Covariance Structure|Number of Parameters|Subject Variables|

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Fixed Effects |Intercept         |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime             |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zage              |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zgender           |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zage      |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zgender   |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |genderage         |1               |                    |1                   |                 |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Random Effects|Intercept + ctimea|2               |Unstructured        |3                   |id               |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Residual                         |                |                    |1                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|Total                            |9               |                    |11                  |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

a. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Iteration History(b)

|---------|-----------|-----------------------|----------------------------|--------------------------------------------------------|----------------------------------------------------------------------------------------|

|Iteration|Update Type|Number of Step-halvings|-2 Restricted Log Likelihood|Covariance Parameters                                   |Fixed Effect Parameters                                                                 |

|         |           |                       |                            |---------------------|----------------------------------|-----------------------|-------|--------|--------|------------|---------------|---------|

|         |           |                       |                            |Residual             |Intercept + ctime [subject = id]  |Intercept              |ctime  |Zage    |Zgender |ctime * Zage|ctime * Zgender|genderage|

|         |           |                       |                            |                     |----------------|--------|--------|                       |       |        |        |            |               |         |

|         |           |                       |                            |                     |UN (1,1)        |UN (2,1)|UN (2,2)|                       |       |        |        |            |               |         |

|---------|-----------|-----------------------|----------------------------|---------------------|----------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|

|0        |Initial    |0                      |238558.040                  |6.629040             |6.629040        |.000000 |6.629040|28.096211              |.056393|-.282214|-.040600|-.041924    |-.008844       |-.052665 |

|---------|-----------|-----------------------|----------------------------|---------------------|----------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|

|1        |Scoring    |0                      |193304.137                  |2.184566             |25.820114       |.250176 |.061878 |28.117099              |.053971|-.276385|-.058090|-.041499    |-.007249       |-.083309 |

|---------|-----------|-----------------------|----------------------------|---------------------|----------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|

|2        |Newton     |0                      |193302.672                  |2.170851             |25.946815       |.254271 |.060741 |28.117281              |.053973|-.276299|-.058079|-.041498    |-.007253       |-.084117 |

|---------|-----------|-----------------------|----------------------------|---------------------|----------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|

|3        |Newton     |0                      |193302.671                  |2.171020             |25.948150       |.254224 |.060780 |28.117278              |.053973|-.276301|-.058080|-.041498    |-.007253       |-.084100 |

|---------|-----------|-----------------------|----------------------------|---------------------|----------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|

|4        |Newton     |0                      |193302.671a                 |2.171020             |25.948150       |.254224 |.060780 |28.117278              |.053973|-.276301|-.058080|-.041498    |-.007253       |-.084100 |

|---------|-----------|-----------------------|----------------------------|---------------------|----------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|

a. All convergence criteria are satisfied.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Information Criteria(a)

|------------------------------------|----------|

|-2 Restricted Log Likelihood        |193302.671|

|------------------------------------|----------|

|Akaike's Information Criterion (AIC)|193310.671|

|------------------------------------|----------|

|Hurvich and Tsai's Criterion (AICC) |193310.672|

|------------------------------------|----------|

|Bozdogan's Criterion (CAIC)         |193349.320|

|------------------------------------|----------|

|Schwarz's Bayesian Criterion (BIC)  |193345.320|

|------------------------------------|----------|

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Fixed Effects

 

Type III Tests of Fixed Effects(a)

|---------------|------------|--------------|----------|----|

|Source         |Numerator df|Denominator df|F         |Sig.|

|---------------|------------|--------------|----------|----|

|Intercept      |1           |7387.185      |210219.331|.000|

|---------------|------------|--------------|----------|----|

|ctime          |1           |7251.014      |230.111   |.000|

|---------------|------------|--------------|----------|----|

|Zage           |1           |7376.744      |20.058    |.000|

|---------------|------------|--------------|----------|----|

|Zgender        |1           |7368.305      |.894      |.344|

|---------------|------------|--------------|----------|----|

|ctime * Zage   |1           |7264.274      |128.503   |.000|

|---------------|------------|--------------|----------|----|

|ctime * Zgender|1           |7238.154      |3.944     |.047|

|---------------|------------|--------------|----------|----|

|genderage      |1           |7363.830      |1.952     |.162|

|---------------|------------|--------------|----------|----|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Estimates of Fixed Effects(a)

|---------------|---------|----------|--------|-------|----|------------------------------------|

|Parameter      |Estimate |Std. Error|df      |t      |Sig.|95% Confidence Interval             |

|               |         |          |        |       |    |-----------------------|------------|

|               |         |          |        |       |    |Lower Bound            |Upper Bound |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|Intercept      |28.117278|.061325   |7387.185|458.497|.000|27.997064              |28.237492   |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|ctime          |.053973  |.003558   |7251.014|15.169 |.000|.046998                |.060948     |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|Zage           |-.276301 |.061694   |7376.744|-4.479 |.000|-.397238               |-.155364    |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|Zgender        |-.058080 |.061416   |7368.305|-.946  |.344|-.178472               |.062312     |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|ctime * Zage   |-.041498 |.003661   |7264.274|-11.336|.000|-.048674               |-.034322    |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|ctime * Zgender|-.007253 |.003652   |7238.154|-1.986 |.047|-.014412               |-9.339778E-5|

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

|genderage      |-.084100 |.060191   |7363.830|-1.397 |.162|-.202091               |.033891     |

|---------------|---------|----------|--------|-------|----|-----------------------|------------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Covariance Parameters

 

Estimates of Covariance Parameters(a)

|-----------------------------------------|---------|----------|-------|----|-----------------------------------|

|Parameter                                |Estimate |Std. Error|Wald Z |Sig.|95% Confidence Interval            |

|                                |--------|         |          |       |    |-----------------------|-----------|

|                                         |         |          |       |    |Lower Bound            |Upper Bound|

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Residual                                 |2.171020 |.018362   |118.232|.000|2.135327               |2.207309   |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Intercept + ctime [subject = id]|UN (1,1)|25.948150|.433994   |59.789 |.000|25.111329              |26.812858  |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,1)|.254224  |.018575   |13.686 |.000|.217818                |.290631    |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,2)|.060780  |.001562   |38.904 |.000|.057794                |.063921    |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

Table 7.3 Multilevel Regression of BMI over Time and time-varying marital status

 

Model 5

 

 

 

*GENDER*AGE INTERACTION EFFECT DIFFERS FROM THE HLM ANALYSIS, MOST LIKELY DUE TO DIFFERENT CASES INCLUDED IN THE ANALYSIS DUE TO MISSING VALUES.

ALL OTHER COEFFICIENTS ARE NEARLY IDENTICAL.

 

MIXED bmi WITH ctime Zage  zgender genderage married

  /METHOD = REML

  /PRINT = SOLUTION TESTCOV HISTORY

  /FIXED = ctime Zage Zgender zage*ctime zgender*ctime genderage married| SSTYPE(3)

  /RANDOM = INTERCEPT  ctime  | SUBJECT(id) COVTYPE(UN).

 

 

Mixed Model Analysis

 

[DataSet1] E:\Sociometric\Chpt 7\chpt7.sav

 

 

Model Dimension(b)

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|                                 |Number of Levels|Covariance Structure|Number of Parameters|Subject Variables|

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Fixed Effects |Intercept         |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime             |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zage              |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |Zgender           |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zage      |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zgender   |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |genderage         |1               |                    |1                   |                 |

|              |------------------|----------------|--------------------|--------------------|-----------------|

|              |married           |1               |                    |1                   |                 |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Random Effects|Intercept + ctimea|2               |Unstructured        |3                   |id               |

|--------------|------------------|----------------|--------------------|--------------------|-----------------|

|Residual                         |                |                    |1                   |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

|Total                            |10              |                    |12                  |                 |

|---------------------------------|----------------|--------------------|--------------------|-----------------|

a. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Iteration History(b)

|---------|-----------|---------------|----------------|--------------------------------------------------------|-------------------------------------------------------------------------------------------------|

|Iteration|Update Type|# Step-halvings|-2 Restricted LL|Covariance Parameters                                                 |Fixed Effect Parameters                                                                         

|         |           |               |                |---------------------|------------------------------------------------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

|         |           |               |                |Residual             |Intercept + ctime [subject = id]                |Intercept              |ctime  |Zage    |Zgender |ctime * Zage|ctime * Zgender|genderage|married |

|         |           |               |                |                     |------------------------------|--------|--------|                       |       |        |        |            |               |         |        |

|         |           |               |                |                     |UN (1,1)                      |UN (2,1)|UN (2,2)|                       |       |        |        |            |               |         |        |

|---------|-----------|---------------|----------------|---------------------|------------------------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

|0        |Initial    |0              |238520.775      |6.625393             |6.625393                      |.000000 |6.625393|28.159967              |.055501|-.285872|-.031569|-.042106    |-.008396       |-.048569 |-.086214|

|---------|-----------|---------------|----------------|---------------------|------------------------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

|1        |Scoring    |0              |193237.794      |2.186285             |25.813095                     |.250460 |.061985 |27.870497              |.057404|-.261671|-.092266|-.040757    |-.008944       |-.099933 |.333564 |

|---------|-----------|---------------|----------------|---------------------|------------------------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

|2        |Newton     |0              |193235.291      |2.168492             |25.996766                     |.253224 |.060411 |27.869512              |.057420|-.261513|-.092427|-.040753    |-.008955       |-.100826 |.335153 |

|---------|-----------|---------------|----------------|---------------------|------------------------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

|3        |Newton     |0              |193235.289      |2.168775             |25.999242                     |.253222 |.060480 |27.869532              |.057420|-.261517|-.092424|-.040753    |-.008955       |-.100803 |.335120 |

|---------|-----------|---------------|----------------|---------------------|------------------------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

|4        |Newton     |0              |193235.289a     |2.168775             |25.999243                     |.253222 |.060480 |27.869532              |.057420|-.261517|-.092424|-.040753    |-.008955       |-.100803 |.335120 |

|---------|-----------|---------------|----------------|---------------------|------------------------------|--------|--------|-----------------------|-------|--------|--------|------------|---------------|---------|--------|

a. All convergence criteria are satisfied.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Information Criteria(a)

|------------------------------------|----------|

|-2 Restricted Log Likelihood        |193235.289|

|------------------------------------|----------|

|Akaike's Information Criterion (AIC)|193243.289|

|------------------------------------|----------|

|Hurvich and Tsai's Criterion (AICC) |193243.290|

|------------------------------------|----------|

|Bozdogan's Criterion (CAIC)         |193281.937|

|------------------------------------|----------|

|Schwarz's Bayesian Criterion (BIC)  |193277.937|

|------------------------------------|----------|

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Fixed Effects

 

Type III Tests of Fixed Effects(a)

|---------------|------------|--------------|----------|----|

|Source         |Numerator df|Denominator df|F         |Sig.|

|---------------|------------|--------------|----------|----|

|Intercept      |1           |12484.949     |151278.238|.000|

|---------------|------------|--------------|----------|----|

|ctime          |1           |7464.329      |255.981   |.000|

|---------------|------------|--------------|----------|----|

|Zage           |1           |7389.802      |17.911    |.000|

|---------------|------------|--------------|----------|----|

|Zgender        |1           |7457.369      |2.245     |.134|

|---------------|------------|--------------|----------|----|

|ctime * Zage   |1           |7271.590      |124.262   |.000|

|---------------|------------|--------------|----------|----|

|ctime * Zgender|1           |7285.994      |6.004     |.014|

|---------------|------------|--------------|----------|----|

|genderage      |1           |7382.138      |2.794     |.095|

|---------------|------------|--------------|----------|----|

|married        |1           |37933.721     |44.905    |.000|

|---------------|------------|--------------|----------|----|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Estimates of Fixed Effects(a)

|---------------|---------|----------|---------|-------|----|-----------------------------------|

|Parameter      |Estimate |Std. Error|df       |t      |Sig.|95% Confidence Interval            |

|               |         |          |         |       |    |-----------------------|-----------|

|               |         |          |         |       |    |Lower Bound            |Upper Bound|

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Intercept      |27.869532|.071654   |12484.949|388.945|.000|27.729079              |28.009985  |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|ctime          |.057420  |.003589   |7464.329 |15.999 |.000|.050384                |.064455    |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Zage           |-.261517 |.061792   |7389.802 |-4.232 |.000|-.382648               |-.140386   |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Zgender        |-.092424 |.061689   |7457.369 |-1.498 |.134|-.213352               |.028504    |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|ctime * Zage   |-.040753 |.003656   |7271.590 |-11.147|.000|-.047920               |-.033587   |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|ctime * Zgender|-.008955 |.003655   |7285.994 |-2.450 |.014|-.016119               |-.001791   |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|genderage      |-.100803 |.060305   |7382.138 |-1.672 |.095|-.219018               |.017413    |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

|married        |.335120  |.050010   |37933.721|6.701  |.000|.237100                |.433141    |

|---------------|---------|----------|---------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Covariance Parameters

 

Estimates of Covariance Parameters(a)

|-----------------------------------------|---------|----------|-------|----|-----------------------------------|

|Parameter                                |Estimate |Std. Error|Wald Z |Sig.|95% Confidence Interval            |

|                                |--------|         |          |       |    |-----------------------|-----------|

|                                         |         |          |       |    |Lower Bound            |Upper Bound|

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Residual                                 |2.168775 |.018346   |118.215|.000|2.133114               |2.205032   |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Intercept + ctime [subject = id]|UN (1,1)|25.999243|.434943   |59.776 |.000|25.160594              |26.865845  |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,1)|.253222  |.018558   |13.645 |.000|.216848                |.289595    |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,2)|.060480  |.001557   |38.844 |.000|.057504                |.063610    |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Table 7.3 Multilevel Regression of BMI over Time and time-varying marital status

 

Model 5

 

GENDER*AGE AND GENDER*AGE*MARRIED INTERACTION EFFECTS DIFFER FROM THE HLM ANALYSIS, MOST LIKELY DUE TO DIFFERENT CASES INCLUDED IN THE ANALYSIS DUE TO MISSING VALUES.

ALL OTHER COEFFICIENTS ARE NEARLY IDENTICAL.

 

 

MIXED bmi WITH ctime Zage  zgender genderage married

  /METHOD = REML

  /PRINT = SOLUTION TESTCOV HISTORY

  /FIXED = ctime Zage Zgender zage*ctime zgender*ctime genderage married

       zage*married zgender*married genderage*married| SSTYPE(3)

  /RANDOM = INTERCEPT  ctime  | SUBJECT(id) COVTYPE(UN).

 

 

Mixed Model Analysis

 

[DataSet1] E:\Sociometric\Chpt 7\chpt7.sav

 

 

Model Dimension(b)

|----------------------------------|----------------|--------------------|--------------------|-----------------|

|                                  |Number of Levels|Covariance Structure|Number of Parameters|Subject Variables|

|--------------|-------------------|----------------|--------------------|--------------------|-----------------|

|Fixed Effects |Intercept          |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime              |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |Zage               |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |Zgender            |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zage       |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |ctime * Zgender    |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |genderage          |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |married            |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |Zage * married     |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |Zgender * married  |1               |                    |1                   |                 |

|              |-------------------|----------------|--------------------|--------------------|-----------------|

|              |genderage * married|1               |                    |1                   |                 |

|--------------|-------------------|----------------|--------------------|--------------------|-----------------|

|Random Effects|Intercept + ctimea |2               |Unstructured        |3                   |id               |

|--------------|-------------------|----------------|--------------------|--------------------|-----------------|

|Residual                          |                |                    |1                   |                 |

|----------------------------------|----------------|--------------------|--------------------|-----------------|

|Total                             |13              |                    |15                  |                 |

|----------------------------------|----------------|--------------------|--------------------|-----------------|

a. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Iteration History(b)

|---------|-----------|---------------|----------------|-----------------------------------------|-------------------------------------------------------------------------------------------------------------------------------|

|Iteration|Update Type|# Step-halvings|-2 Restricted LL|Covariance Parameters                    |Fixed Effect Parameters                                                                                                        |                    

|---------|-----------|---------------|----------------|-----------------------------------------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|         |           |               |                |Residual|Intercept + ctime [subject= id] |Intercept |ctime  |Zage    |Zgender |ctime*Zage|ctime*Zgender|genderage|married|Zage*married|Zgender*married|genderage* married|

|         |           |               |                |        |--------------|--------|--------|          |       |        |        |          |             |         |       |            |               |                  |

|         |           |               |                |        |UN (1,1)      |UN (2,1)|UN (2,2)|          |       |        |        |          |             |         |       |            |               |                  |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|0        |Initial    |0              |238409.391      |6.598779|6.598779      |.000000 |6.598779|27.959622 |.053753|-.234590|-.562992|-.041994  |-.003601     | .139326 |.097486|-.075330    |.668121        |-.206391          |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|1        |Scoring    |0              |193249.008      |2.193261|25.694378     |.248860 |.062629 |27.842753 |.057117|-.215783|-.153545|-.041259  |-.008474     |-.043200 |.360219|-.054875    |.077062        |-.060881          |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|2        |Newton     |0              |193244.054      |2.168498|25.974071     |.252929 |.060349 |27.842130 |.057149|-.215567|-.151274|-.041254  |-.008514     |-.044697 |.361853|-.054730    |.073866        |-.060651          |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|3        |Newton     |0              |193244.043      |2.169042|25.979878     |.252935 |.060489 |27.842154 |.057148|-.215580|-.151329|-.041254  |-.008513     |-.044673 |.361799|-.054729    |.073944        |-.060626          |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|4        |Newton     |0              |193244.043      |2.169042|25.979881     |.252935 |.060490 |27.842154 |.057148|-.215581|-.151329|-.041254  |-.008513     |-.044673 |.361798|-.054729    |.073945        |-.060626          |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

|5        |Newton     |0              |193244.043a     |2.169042|25.979881     |.252935 |.060490 |27.842154 |.057148|-.215581|-.151329|-.041254  |-.008513     |-.044673 |.361798|-.054729    |.073945        |-.060626          |

|---------|-----------|---------------|----------------|--------|--------------|--------|--------|----------|-------|--------|--------|----------|-------------|---------|-------|------------|---------------|------------------|

a. All convergence criteria are satisfied.
b. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Information Criteria(a)

|------------------------------------|----------|

|-2 Restricted Log Likelihood        |193244.043|

|------------------------------------|----------|

|Akaike's Information Criterion (AIC)|193252.043|

|------------------------------------|----------|

|Hurvich and Tsai's Criterion (AICC) |193252.044|

|------------------------------------|----------|

|Bozdogan's Criterion (CAIC)         |193290.691|

|------------------------------------|----------|

|Schwarz's Bayesian Criterion (BIC)  |193286.691|

|------------------------------------|----------|

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Fixed Effects

 

Type III Tests of Fixed Effects(a)

|-------------------|------------|--------------|----------|----|

|Source             |Numerator df|Denominator df|F         |Sig.|

|-------------------|------------|--------------|----------|----|

|Intercept          |1           |13464.766     |144011.632|.000|

|-------------------|------------|--------------|----------|----|

|ctime              |1           |7478.327      |253.061   |.000|

|-------------------|------------|--------------|----------|----|

|Zage               |1           |13919.331     |8.439     |.004|

|-------------------|------------|--------------|----------|----|

|Zgender            |1           |14158.118     |4.104     |.043|

|-------------------|------------|--------------|----------|----|

|ctime * Zage       |1           |7588.157      |123.287   |.000|

|-------------------|------------|--------------|----------|----|

|ctime * Zgender    |1           |7434.150      |5.346     |.021|

|-------------------|------------|--------------|----------|----|

|genderage          |1           |14840.008     |.361      |.548|

|-------------------|------------|--------------|----------|----|

|married            |1           |38389.959     |47.958    |.000|

|-------------------|------------|--------------|----------|----|

|Zage * married     |1           |36315.525     |1.155     |.282|

|-------------------|------------|--------------|----------|----|

|Zgender * married  |1           |38535.974     |1.896     |.169|

|-------------------|------------|--------------|----------|----|

|genderage * married|1           |35159.724     |1.429     |.232|

|-------------------|------------|--------------|----------|----|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Estimates of Fixed Effects(a)

|-------------------|---------|----------|---------|-------|----|-----------------------------------|

|Parameter          |Estimate |Std. Error|df       |t      |Sig.|95% Confidence Interval            |

|                   |         |          |         |       |    |-----------------------|-----------|

|                   |         |          |         |       |    |Lower Bound            |Upper Bound|

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Intercept          |27.842154|.073368   |13464.766|379.489|.000|27.698343              |27.985965  |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|ctime              |.057148  |.003592   |7478.327 |15.908 |.000|.050106                |.064190    |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Zage               |-.215581 |.074212   |13919.331|-2.905 |.004|-.361045               |-.070116   |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Zgender            |-.151329 |.074704   |14158.118|-2.026 |.043|-.297758               |-.004900   |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|ctime * Zage       |-.041254 |.003715   |7588.157 |-11.103|.000|-.048537               |-.033971   |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|ctime * Zgender    |-.008513 |.003682   |7434.150 |-2.312 |.021|-.015731               |-.001295   |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|genderage          |-.044673 |.074323   |14840.008|-.601  |.548|-.190356               |.101009    |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|married            |.361798  |.052244   |38389.959|6.925  |.000|.259399                |.464198    |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Zage * married     |-.054729 |.050916   |36315.525|-1.075 |.282|-.154527               |.045069    |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|Zgender * married  |.073945  |.053699   |38535.974|1.377  |.169|-.031306               |.179195    |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

|genderage * married|-.060626 |.050724   |35159.724|-1.195 |.232|-.160046               |.038794    |

|-------------------|---------|----------|---------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.

 

 

 

Covariance Parameters

 

Estimates of Covariance Parameters(a)

|-----------------------------------------|---------|----------|-------|----|-----------------------------------|

|Parameter                                |Estimate |Std. Error|Wald Z |Sig.|95% Confidence Interval            |

|                                |--------|         |          |       |    |-----------------------|-----------|

|                                         |         |          |       |    |Lower Bound            |Upper Bound|

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Residual                                 |2.169042 |.018349   |118.207|.000|2.133374               |2.205306   |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

|Intercept + ctime [subject = id]|UN (1,1)|25.979881|.434838   |59.746 |.000|25.141441              |26.846282  |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,1)|.252935  |.018554   |13.633 |.000|.216570                |.289300    |

|                                |--------|---------|----------|-------|----|-----------------------|-----------|

|                                |UN (2,2)|.060490  |.001557   |38.839 |.000|.057513                |.063621    |

|--------------------------------|--------|---------|----------|-------|----|-----------------------|-----------|

a. Dependent Variable: bmi bmi.1: body mass indicator.