Description Format Source Examples
The SIMS
data frame has 3691 rows and 3 columns.
This data frame contains the following columns:
a numeric vector giving the student's pre-test total score
a numeric vector giving gains from pre-test to the final test
an ordered factor giving the student's class
Littel, R. C., Milliken, G. A., Stroup, W. W., and Wolfinger, R. D. (1996), SAS System for Mixed Models, SAS Institute (section 7.2.2)
Kreft, I. G. G., De Leeuw, J. and Var Der Leeden, R. (1994), “Review of five multilevel analysis programs: BMDP-5V, GENMOD, HLM, ML3, and VARCL”, American Statistician, 48, 324–335.
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'data.frame': 3691 obs. of 3 variables:
$ Pretot: num 29 38 31 31 29 23 23 33 30 32 ...
$ Gain : num 2 0 6 6 5 9 7 2 1 3 ...
$ Class : Factor w/ 190 levels "1","10","100",..: 1 1 1 1 1 1 1 1 1 1 ...
- attr(*, "ginfo")=List of 7
..$ formula :Class 'formula' language Gain ~ Pretot | Class
.. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv>
..$ order.groups: logi TRUE
..$ FUN :function (x)
..$ outer : NULL
..$ inner : NULL
..$ labels :List of 2
.. ..$ Pretot: chr "Sum of pre-test core item scores"
.. ..$ Gain : chr "Gain in mathematics achievement score"
..$ units : list()
Linear mixed model fit by REML ['lmerMod']
Formula: Gain ~ Pretot + (Pretot | Class)
Data: SIMS
REML criterion at convergence: 22380.57
Random effects:
Groups Name Std.Dev. Corr
Class (Intercept) 3.80651
Pretot 0.09593 -0.64
Residual 4.71548
Number of obs: 3691, groups: Class, 190
Fixed Effects:
(Intercept) Pretot
7.060 -0.186
Analysis of Variance Table
Df Sum Sq Mean Sq F value
Pretot 1 2969.4 2969.4 133.54
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