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Doc.Net 7 – Ordenadas- e Inclinações-como-Resultados Dados: High School and Beyond (HS&B) Survey –
1982 [Refs. 4 (pp. 68-69) e 14 (pp. 15-17] |
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Program: HLM 5 Hierarchical
Linear and Nonlinear Modeling Authors: Stephen Raudenbush,
Tony Bryk, & Richard Congdon Publisher: Scientific Software
International, Inc. (c) 2000
techsupport@ssicentral.com
www.ssicentral.com ------------------------------------------------------------------------------- Module: HLM2.EXE (5.05.2330.2) Date: Time: ------------------------------------------------------------------------------- SPECIFICATIONS FOR THIS HLM2 RUN Mon Jun 27 ------------------------------------------------------------------------------- Problem Title:
EXERC_F The data
source for this run = C:\Documents and
Settings\user\Desktop\HSBDATA\HDB12.ssm The command
file for this run = C:\Documents and
Settings\user\Desktop\HSBDATA\Comand_2.hlm Output file
name = C:\Documents and
Settings\user\Desktop\HSBDATA\HSB12.out The maximum number of level-2 units = 160 The maximum number of iterations = 100 Method of estimation: restricted maximum likelihood Weighting Specification ----------------------- Weight Variable
Weighting? Name Normalized? Level 1 no no Level 2 no no The outcome variable is MATHACH
The model specified for the fixed effects was: ----------------------------------------------------
Level-1 Level-2
Coefficients
Predictors ---------------------- ---------------
INTRCPT1, B0 INTRCPT2,
G00 SECTOR, G01 $ MEANSES, G02 * SES slope, B1 INTRCPT2, G10 SECTOR, G11 $ MEANSES, G12 '*' - This level-1 predictor has been centered around its group mean. '$' - This level-2 predictor has been centered around its grand mean. The model specified for the covariance components was: --------------------------------------------------------- Sigma
squared (constant across level-2 units) Tau
dimensions
INTRCPT1
SES slope Summary of the model specified (in equation
format) --------------------------------------------------- Level-1 Model Y = B0 +
B1*(SES) + R Level-2 Model B0 = G00
+ G01*(SECTOR) + G02*(MEANSES) + U0 B1 = G10 + G11*(SECTOR) + G12*(MEANSES)
+ U1 |
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Level-1 OLS regressions ----------------------- Level-2
Unit INTRCPT1 SES slope ------------------------------------------------------------------------------
1224 9.71545 2.50858
1288 13.51080 3.25545
1296 7.63596 1.07596
1308 16.25550 0.12602
1317 13.17769 1.27391
1358 11.20623 5.06801
1374 9.72846 3.85432
1433 19.71914 1.85429
1436 18.11161 1.60056 1461 16.84264 6.26650 The average OLS level-1 coefficient for INTRCPT1
= 12.62075 The average OLS level-1 coefficient for SES = 2.20164 Least Squares Estimates ----------------------- sigma_squared
= 39.03409 The outcome
variable is MATHACH Least-squares estimates of fixed effects ----------------------------------------------------------------------------
Standard Fixed
Effect Coefficient Error
T-ratio d.f.
P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2,
G00 12.083837 0.106889
113.050 7179 0.000 SECTOR,
G01 1.280341 0.157845 8.111
7179 0.000 MEANSES,
G02 5.163791 0.190834
27.059 7179 0.000 For SES slope, B1 INTRCPT2,
G10 2.935664 0.155268
18.907 7179 0.000 SECTOR,
G11 -1.642102 0.240178
-6.837 7179
0.000 MEANSES,
G12 1.044120 0.299885 3.482 7179
0.001 ---------------------------------------------------------------------------- The outcome
variable is MATHACH Least-squares estimates of fixed effects (with robust standard errors) ----------------------------------------------------------------------------
Standard Fixed
Effect Coefficient Error
T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2,
G00 12.083837 0.169507
71.288 7179 0.000 SECTOR,
G01 1.280341 0.299077 4.281 7179
0.000 MEANSES,
G02 5.163791 0.334078
15.457 7179 0.000 For SES slope, B1 INTRCPT2,
G10 2.935664 0.147576
19.893 7179 0.000 SECTOR,
G11 -1.642102 0.237223
-6.922 7179 0.000 MEANSES,
G12 1.044120 0.332897 3.136 7179
0.002 ---------------------------------------------------------------------------- The
least-squares likelihood value = -23362.111325 Deviance
= 46724.22265 Number of
estimated parameters = 1 STARTING
VALUES --------------- sigma(0)_squared = 36.72025 Tau(0) INTRCPT1,B0 2.56964 0.28026
SES,B1 0.28026 -0.01614 New Tau(0) INTRCPT1,B0 2.56964 0.28026 SES,B1 0.28026 0.43223 |
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The
outcome variable is MATHACH Estimation of fixed effects (Based on starting values of covariance
components) ----------------------------------------------------------------------------
Standard Approx. Fixed
Effect Coefficient Error
T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2,
G00 12.094864 0.204326
59.194 157 0.000 SECTOR,
G01 1.226266 0.315204 3.890 157
0.000 MEANSES,
G02 5.335184 0.379879
14.044 157 0.000 For SES slope, B1 INTRCPT2,
G10 2.935219 0.168674
17.402 157 0.000 SECTOR,
G11 -1.634083 0.260672
-6.269 157 0.000 MEANSES,
G12 1.015061 0.323523 3.138 157
0.002 ---------------------------------------------------------------------------- The value of the likelihood function at iteration 1
= -2.325199E+004 The value of the likelihood function at iteration 2
= -2.325182E+004 The value of the likelihood function at iteration 3
= -2.325174E+004 The value of the likelihood function at iteration 4
= -2.325169E+004 The value of the likelihood function at iteration 5
= -2.325154E+004
.
.
. The value of the likelihood function at iteration 57
= -2.325094E+004 The value of the likelihood function at iteration 58
= -2.325094E+004 The value of the likelihood function at iteration 59
= -2.325094E+004 The value of the likelihood function at iteration 60
= -2.325094E+004 Iterations
stopped due to small change in likelihood function |
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******* ITERATION 61 ******* Sigma_squared =
36.70313 Tau INTRCPT1,B0
2.37996 0.19058
SES,B1
0.19058 0.14892
Tau (as correlations) INTRCPT1,B0 1.000
0.320
SES,B1 0.320 1.000 ---------------------------------------------------- Random level-1 coefficient
Reliability estimate ---------------------------------------------------- INTRCPT1,
B0 0.733 SES, B1 0.073 ---------------------------------------------------- The
value of the likelihood function at iteration 61 = -2.325094E+004 |
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The
outcome variable is MATHACH Final estimation of fixed effects: ----------------------------------------------------------------------------
Standard Approx. Fixed
Effect Coefficient Error
T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2,
G00 12.095006 0.198717
60.865 157 0.000 SECTOR,
G01 1.226384 0.306272 4.004 157
0.000 MEANSES,
G02 5.333056 0.369161
14.446 157 0.000 For SES slope, B1 INTRCPT2,
G10 2.937787 0.157119
18.698 157 0.000 SECTOR,
G11 -1.640954 0.242905
-6.756 157 0.000 MEANSES,
G12 1.034427 0.302566 3.419 157
0.001 ---------------------------------------------------------------------------- The outcome
variable is MATHACH Final estimation of fixed effects (with robust standard errors) ----------------------------------------------------------------------------
Standard Approx. Fixed
Effect Coefficient Error
T-ratio d.f. P-value ---------------------------------------------------------------------------- For INTRCPT1, B0 INTRCPT2,
G00 12.095006 0.173688
69.637 157 0.000 SECTOR,
G01 1.226384 0.308484 3.976 157
0.000 MEANSES,
G02 5.333056 0.334600
15.939 157 0.000 For SES slope, B1 INTRCPT2,
G10 2.937787 0.147615
19.902 157 0.000 SECTOR,
G11 -1.640954 0.237401
-6.912 157 0.000 MEANSES,
G12 1.034427 0.332785 3.108 157
0.002 ---------------------------------------------------------------------------- Final estimation of variance components: ----------------------------------------------------------------------------- Random
Effect Standard Variance df Chi-square
P-value Deviation Component ----------------------------------------------------------------------------- INTRCPT1, U0 1.54271 2.37996 157
605.29503 0.000 SES
slope, U1 0.38590 0.14892 157
162.30867 0.369
level-1, R 6.05831 36.70313 ----------------------------------------------------------------------------- Statistics for current covariance components model -------------------------------------------------- Deviance = 46501.875634 Number of estimated parameters = 4 |