Two implicit generalizations are often made from group-level studies in experimental psychology and their common statistical analysis in the general linear model: (1) Group-level phenomena are assumed to be present in every participant with every variation between participants being random error; (2) phenomena are assumed to be stable over time. In this preregistered study, we investigated the validity of these two generalizations for the SNARC effect (Spatial-Numerical Association of Response Codes, i.e., faster left-/right-sided responses to small/large magnitude numbers, respectively; Dehaene et al., 1993). 10 participants performed the parity judgment task on 30 out of 40 consecutive days. We replicated the group-level SNARC effect when all data were collapsed, suggesting validity of the study. However, the effect was reliably present in only four or five of 10 participants, which reflects the proportions reported in the literature. Crucially, intraindividual variations of the SNARC effect were dramatic. We found no systematic trend over time and no correlation with participants’ current state (sleep duration, tiredness, daytime, and consumption of stimulants) in most participants. Apart from the SNARC effect, the parity-judgment task enabled us to investigate the MARC effect (Linguistic Markedness of Response Codes; Nuerk et al., 2004; i.e., faster left-/right-sided responses to odd/even numbers, respectively). We found a group-level MARC effect, resulting from reliable effects in six participants. Our results challenge the frequent generalizations in cognitive research from group-level phenomena to individual participants and from single sessions to typical behavior.