Ar. Hakstian et Ka. Barchard, Toward more robust inferential procedures for coefficient alpha under sampling of both subjects and conditions, MULTIV BE R, 35(4), 2000, pp. 427-456
Barchard and Hakstian (1997b) demonstrated that inferential procedures used
with coefficient alpha are not robust under sampling of both subjects and
conditions (Type 12 sampling) with measurement data departing from essentia
lly-parallel form. In the first of 2 studies reported here, a sample-based,
non-analytical degrees-of-freedom correction factor was empirically develo
ped that correlated almost perfectly with the independently-established cor
rect degrees of freedom for the data. In the second study, application of t
his correction factor was assessed through a comprehensive simulation study
involving Type 12 data sets representing a wide range of design characteri
stics and manifesting tau-equivalent measurement. Use of the correction fac
tor yielded actual Type I error rates closer to nominal values than were ob
tained using uncorrected inferential procedures. Implications for practice
and future research are discussed.