In educational and psychological tests, 2 forms of bias have been distingui
shed: internal and external (or predictive) bias. However, the relation bet
ween internal and external test bias has not been clearly defined or explic
ated. Studies of predictive bias show that when regression equations across
groups are compared, the most commonly occurring difference is in intercep
ts rather than in slopes. Thus, does internal test bias not produce slope d
ifferences? To answer this question, emphasis was given in this study to an
investigation of the relation between internal test bias and slope differe
nces. Monte Carlo simulation results indicate a strong relation between int
ernal test bias and slope differences. However, this relation does not nece
ssarily imply that an absence of internal test bias leads to slope invarian
ce. Conversely, slope differences do not necessarily imply internal test bi
as. Slope invariance holds only when both target ability differences and te
st bias do not exist. Finally, we discuss the reasons slope differences are
rarely observed in practice.