A general delta method is described for computing
the standard error (SE) of a chain of linear equatings.
The general delta method derives the SEs directly from
the moments of the score distributions obtained in the
equating chain. The partial derivatives of the chain
equating function needed for computing the SEs are derived
numerically. The method can be applied to
equatings using the common-items nonequivalent
populations design. Computer simulations were conducted
to evaluate the SEs of a chain of two equatings
using the Levine and Tucker methods. The general
delta method was more accurate than a method that assumes
the equating processes in the chain are statistically
independent. Index terms: chain equating, delta
method, equating, linear equating, standard error of
Zeng, Lingjia, Hanson, Bradley A & Kolen, Michael J. (1994). Standard errors of a chain of linear equatings. Applied Psychological Measurement, 18, 369-378. doi:10.1177/014662169401800408
Zeng, Lingjia; Hanson, Bradley A.; Kolen, Michael J..
Standard errors of a chain of linear equatings.
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