["Fiscal Studies, EarlyView. ", "\nAbstract\nThe analysis of regional growth or levelling up in income, health and human resources is a challenge as it involves measuring growth multidimensionally with ordered categorical variables. The lack of a cardinal measure and the ambiguity inherent in its arbitrary cardinalisation is the source of the problem. Here, noting that in a cardinal world a variable's mean has a probabilistic interpretation as the cumulation over its range of the chances of higher outcomes, rendering its conventional growth rate the rate of increase in those cumulated chances, probabilistic distance concepts are employed to develop analogous level and growth measures in multidimensional ordinal paradigms. We illustrate with an application to the United Kingdom, where regional disparities in incomes and well‐being in the UK have been high and persistent over time, prompting ‘place‐based’ or levelling‐up policies in recent years. We employ our new measures in an analysis of UK outcomes over the period 2010–2018, where we find that while there is strong evidence of growth, there is little evidence of levelling‐up type growth and, hence, little evidence of levelling up in the UK.\n"]