Within-Person Test Score Distributions: How Typical Is "Normal"?

Abstract

We evaluated within-person variability across a cognitive test battery by analyzing the shape of the distribution of each individual's scores within a battery of tests. We hypothesized that most healthy adults would produce test scores that are normally distributed around their own personal battery-wide, within-person (wp) mean. Using cross-sectional data from 327 neurologically healthy adults, we computed each person's mean, standard deviation, skew, and kurtosis for 30 neuropsychological measures. Raw scores were converted to T-scores using three degrees of calibration: (a) none, (b) age, and (c) age, sex, race, education, and estimated premorbid IQ. Regardless of calibration, no participant showed abnormal within-person skew (^wpskew) and only 10 (3.1%) to 16 (4.9%) showed ^wpkurtosis greater than 2. If replicated in other samples and measures, these findings could illuminate how healthy individuals are endowed with different cognitive abilities and provide the foundation for a new method of inference in clinical neuropsychology.