What the research actually establishes, which is narrower than the usual summary and more useful. The paper most often cited in comparisons of the two methods is Kettle, Trudel, Blanchard and Häubl's "Repayment Concentration and Consumer Motivation to Get Out of Debt," in the Journal of Consumer Research 43(3) in 2016. Its title states its subject: repayment concentration. The finding is that concentrating repayment on one account, rather than dispersing extra money across several, increases motivation to keep repaying, and that the effect is strongest when the concentration is on the smallest balance, because people infer progress from the largest proportional reduction visible in any one account rather than from interest avoided.
Read carefully, that conclusion does not pit the snowball against a rate-first ordering, because both of those are concentrated strategies. What it argues against is the intuitive third option almost nobody names: paying a little extra on everything. That approach feels productive, produces visible progress nowhere, and is the pattern the research suggests is most likely to be abandoned. Anyone choosing between the two named methods has already taken the step the evidence most clearly supports.
One number to distrust: a pair of six-month adherence percentages circulates widely in side-by-side comparisons of the two methods, usually citing the 2016 paper. That paper reports no adherence rates of that kind, and no other source for the figures could be traced, so they are not repeated here.
Two adjacent findings are worth separating from the concentration result. Moty Amar, Dan Ariely, Shahar Ayal, Cynthia Cryder and Scott Rick, in "Winning the Battle but Losing the War: The Psychology of Debt Management" in the Journal of Marketing Research 48(SPL) in 2011, documented a distinct pull: people work to reduce the number of open debts, closing small accounts even where doing so raises the total interest paid. That is an aversion to open accounts rather than a motivational effect, and it explains why the snowball feels satisfying independently of any progress it produces. David Gal and Blake McShane, in the same journal in 2012, examined records from a debt settlement firm and found something more specific and more useful: the fraction of accounts closed predicted eventual elimination of the debt, and the dollar balance of the accounts closed did not, once the fraction closed was controlled for. So what appears to matter is completing discrete tasks rather than retiring small amounts as such, which supports concentration and is neutral on whether the target should be chosen by size. Each of these is evidence about behavior rather than about arithmetic, and none of them makes the arithmetic go away.
The cost of ignoring rates, stated as the thing that actually determines its size. The interest penalty of paying by balance rather than by rate depends on the spread between the rates involved, not on how many debts there are or how large they are. Where the spread is wide, a card in the mid-twenties beside a car loan in the single digits, ordering by balance means leaving the expensive balance to compound while a cheap one is retired, and the difference accumulates every month. Where the rates are clustered, the two orderings converge and the choice is mostly a question of which plan gets finished. So the useful first step is not choosing a method but writing down every rate, because that spread is the only figure that tells you how much the choice is worth.
Three mechanical details specific to the method. First, paying a card to zero and closing it are separate acts, and only the first is part of the snowball. Closing the account removes its limit from the calculation of how much of your available revolving credit you are using, which can raise that figure on the balances you still carry, so a closure is a decision to take on its own terms rather than a celebration step. Second, the minimum payment on everything else is the load-bearing part of the plan and it is not a fixed number: card minimums are set by an issuer's formula against the balance, so they move, and a plan built on last month's minimums can quietly run short. Third, the method concentrates every spare dollar, which means it leaves nothing spare, and a plan with no cash reserve behind it tends to reverse at the first unexpected expense by putting that expense straight back onto a card.
Where the snowball is a poor fit. It has least to recommend it when the smallest balance also carries the lowest rate, which is the configuration that maximizes the interest cost while minimizing the psychological payoff, since a small low-rate debt was not the one causing the pressure. It is also the wrong frame where a debt is not really a candidate for early repayment at all, such as a federal student loan being carried toward a forgiveness term, where extra payments can reduce the amount eventually canceled.