Does the biggest order really carry a lower percentage?
Across checks, usually (one dinner-house sample found no
relationship), and the best-supported explanation is mechanical
rather than a decision to tip less. Tipping researchers
call it the magnitude effect: the
percentage tipped tends to fall as the bill grows. Green, Myerson
and Schneider examined nearly 1,000 recorded tips across two
taxicabs, two hair salons and two restaurants and found that
“as the amount of the bill increased, the percent tip tended
to decrease,” with the slope of percentage on bill size
negative in every one of the six settings. In one of their
restaurants the percentage fell by roughly four-tenths of a point
for every extra dollar on the check; in the other, a pricier room,
by roughly four-hundredths, so the size of the effect varies a lot
by setting. Conlin, Lynn and
O’Donoghue, working from 1,393 restaurant observations with
an average tip of 17.56%, reported that “percent tip
decreases with bill size at a decreasing rate,” with the
decline holding for any bill under about $90.
Why it happens matters for the table, because it need not be a
decision anyone makes. Green and colleagues showed that the effect
follows from a positive intercept: when dollar tips are plotted
against bill size, the line does not pass through zero, so the
percentage falls toward the slope as bills grow. Lynn and Sturman
proposed that the intercept reflects flat-amount tipping. In every
data set they examined, “the intercept in the relationship
between dollar tip amount and bill size was significantly greater
than zero,” a national telephone survey they cite put
flat-amount tippers at 23 percent of restaurant tippers, and a
simulation built on that share reproduced the pattern. They are
careful about what that shows: the replication “does not
prove that our explanation underlies their findings, but it does
prove that our explanation can account for their findings.”
Lynn’s later framework paper takes the same line: the
decline in percentage “is due to a positive intercept in the
relationship between dollar tips and bill size,” reflecting
flat-amount tipping and a tendency to round the tip up to the next
dollar, and “says nothing about cost concerns as a constraint
on tipping.” He also notes that the cross-sectional evidence
on whether cost concerns bend tipping is “inconclusive,”
so the fixed-piece explanation is the parsimonious one, not a
settled one. Lynn
and Latané’s 1984 breakfast-house data had the same
shape: “the best linear prediction of tip from bill size was
10 percent of bill size plus 23 cents,” and Lynn and
Grassman’s best fit in a later sample was “tip amount =
$0.71 + 0.08 bill size.”
Green, Myerson & Schneider (2003) Nearly 1,000 recorded tips: two taxicabs, two hair salons, two restaurantsPercent tip fell as the bill rose in all six settings; the slope flattened on bills over $100
Conlin, Lynn & O’Donoghue (2003) 1,393 restaurant observations, average tip 17.56%Percent tip decreases with bill size at a decreasing rate, for bills under about $90
Lynn & Sturman (2003) Re-analysis of the Green data plus a simulationA positive intercept (some people tip a flat amount; 23% in a national survey) can account for the whole pattern
Lynn & Latané (1984) Two restaurants: a breakfast house and a dinner housePercent tip fell with per-person bill size in the breakfast house (r = -.35) and was unrelated to it in the dinner house; separate-check counts unrelated to percent tipped in both
Why a fixed part makes a falling percentage. If
a tip is some percentage of the bill plus a fixed piece (a round-up,
a flat dollar), the fixed piece is a large share of a $22 portion
and a small share of a $110 one. Same habit, lower percentage on the
bigger order. If diners at one table follow that same habit, the
heaviest weight on the table would be the portion most likely to
carry the lowest rate, with nobody intending it. That is an
inference from across-check data; see the cautions below.
Two cautions keep this honest. First, the same fixed piece means
separate checks hand the server several round-ups instead of one,
which pushes the aggregate up; that is the arithmetic behind the
folk wisdom that small separate checks tip well, and it is why the
weighting “favours whoever ordered the most” rather than
favouring either side. Second, the magnitude effect is measured
across different checks, not across diners at one table. One
field study that looked at tables with separate checks, Lynn and
Latané’s 1984 work, found that the number of separate
checks at a table “was not significantly related to the
percent tipped” (on a small number of such tables, the
authors caution) and that people paying separately at the same
table tipped more like each other than like separate-check diners
at other tables, which the authors read as tipping decisions that
“conform to those of others at the same table.”
Their dinner-house sample also showed no relationship between
per-person bill size and percentage tipped. No study we could find
has measured four self-chosen rates on one check. What is
documented is that people disagree about the rate in the first
place: in a 2023 Pew Research Center survey of 11,945 US adults,
57% said they would tip 15% or less for an average meal at a
sit-down restaurant, and only a quarter said 20% or more. One
table can seat both groups. The weighting identity is certain;
how often the rates actually differ at a given table is not, and
when they do, the direction depends most on the biggest order.
Sources: Green, Myerson & Schneider, “Is there a magnitude effect in tipping?,” Psychonomic Bulletin & Review (2003); Conlin, Lynn & O’Donoghue, “The norm of restaurant tipping,” Journal of Economic Behavior & Organization (2003); Lynn & Sturman, “It’s simpler than it seems,” International Journal of Hospitality Management (2003); Lynn, “Service gratuities and tipping: A motivational framework,” Journal of Economic Psychology (2015); Lynn & Latané, “The Psychology of Restaurant Tipping,” Journal of Applied Social Psychology (1984); Lynn & Grassman, “Restaurant tipping: an examination of three ‘rational’ explanations,” Journal of Economic Psychology (1990); Pew Research Center, “Tipping Culture in America: Public Sees a Changed Landscape” (November 2023).