  We model a typical Bell-test experimental situation by considering that Alice
and Bob perform incompatible measurements in a sequential way, with mixed
orders of execution. After emphasizing that order effects will generally
produce a violation of the marginal laws, we derive an upper limit for the
observed correlations. More precisely, when Alice's and Bob's measurements are
compatible, the marginal laws are obeyed and Tsirelson's bound limits the
quantum correlations in the Bell-CHSH inequality to $2\sqrt{2}$. On the other
hand, when Alice and Bob perform incompatible mixed sequential measurements,
the marginal laws are typically violated and the upper limit for the
correlations is pushed up to $2\sqrt{3}$. Considering that significant
violations of the marginal laws (also called no-signaling conditions) have been
observed in the data of numerous Bell-test experiments, the present analysis
provides a possible mechanism for their appearance, when the protocols are such
that Alice's and Bob's measurements can be assumed to be performed in a mixed
sequential way. We however emphasize that this does not imply that a
communication with superluminal effective speed would be possible.
