 Solution

TODO: whether additional analyses are needed depends on the unavailable results and prespecified questions. An estimated congruence-by-delay interaction can be clarified by the cue-congruence contrast at each delay, with confidence intervals and justified multiple testing control. A direct interaction test addresses whether those contrasts differ; comparing their separate significance labels does not.

Even without a significant interaction, an adequately powered, prespecified contrast may address a distinct scientific question; indiscriminate testing until something is significant is not justified. Inspect regression diagnostics and the treatment of dependent trials where appropriate. Without the output, one cannot decide that any particular follow-up is required or conclude that none is necessary.