ESTMULT= estimate change multiplier

During the JMLE estimation procedure, the measure estimates are improved each traversal of the data. The changes to the item and person estimates are computed by comparing the observed scores against the expected scores based on the current estimates. The changes are computed by curve-fitting. This process is not exact, so the changes are reduced by a factor of 0.7, the default value of ESTMULT=. This is to prevent changes becoming too big. But, if convergence (agreement between observed and expected scores) is happening too slowly, then higher values of ESTMULT= may be helpful.

 

During JMLE iterations, ESTMULT= can be changed using the Diagnosis Menu.

 

ESTMULT  = 0.7

the default estimation-change multiplier

ESTMULT = 0.1 - 0.6

changes to estimates are smaller. More iterations to convergence

ESTMULT = 0.8 - 1.0

changes to estimates are bigger. Perhaps fewer iterations to convergence.

ESTMULT = 1.1 - 2.0

changes to estimates are so big that estimates may overshoot so that estimates become worse and convergence is never reached. Change ESTMULT= when near to convergence

 

Example with large dataset:

 

In the Estimation window on change:

>=== ESTMULT = .778

=====================================================<

ESTMULT= value

 JMLE     MAX SCORE   MAX LOGIT

ITERATION   RESIDUAL*     CHANGE

Comment

ESTMULT= 0.7

(default)

7     -2507.00       .0008

8     -2488.50       .0007

9     -2450.00       .0007

10     -2419.00       .0007

11     -2386.00       .0007

Slow, but safe

ESTMULT= 1.064

31     -1757.50       .0008

32     -1563.50       .0008

33     -1704.00       .0007

34     -1474.00       .0007

35     -1657.50       .0007

36     -1384.00       .0007

Faster, but unstable

ESTMULT= 0.960

47     -1214.00       .0005

48     -1192.50       .0005

49     -1167.00       .0005

50     -1146.50       .0005

51     -1123.00       .0004

52     -1102.50       .0004

Slow, safe

(but see below)

ESTMULT= 1.185

83      -773.00       .0004

84      -250.00       .0004

85      -927.00       .0004

86        21.00       .0005

87     -1232.00       .0006

88       490.00       .0007

89     -1809.00       .0009

90      1326.50       .0011

91     -2884.50       .0014

.....

104   119828.00       .0584

Very fast, but diverges

← change ESTMULT= here

ESTMULT= .960

106   159415.00       .0718

107  -144812.50      -.0567

108   129760.50       .0513

109  -117978.50      -.0460

110   105562.00       .0418

111   -96084.50      -.0374

112    85834.50       .0340

Fast, unstable, converges

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