FREE4/4+0ACC--

The Causal Confounder - difference-in-differences practice

ECON1G · CAUSAL CONFOUNDER
STEP 1/3
SCORE 0/8
EXHIBIT A · MONTHLY UNITS SOLDTHOUSANDS
BEFORE
AFTER
CHANGE
NORTHGATE
TREATED
520
400
-120
SOUTHVALE
CONTROL
500
460
-40
PRE-PERIOD MONTHS · PARALLEL TRENDS CHECK
NORTHGATE508 514 520   +6/MO
SOUTHVALE488 494 500   +6/MO

Pre-trend gap: 0.0 per month. They were moving together before the policy, so the design is admissible - the levels differ, but the trends match.

TREATED CHANGE
-120
CONTROL CHANGE
-40
PRE-TREND GAP
0.0
PER MONTH
DESIGN
DiD
ADMISSIBLE
STEP 1 OF 3 · THE NAIVE ESTIMATE

What does differencing the differences give you?

Southvale tells you what Northgate would have done anyway. Subtract it out.

DiD=(Tpost-Tpre)-(Cpost-Cpre)
THE ENGAGEMENT
NAIVE DiD--
CONFOUNDER--
ADJUSTED--
0 OF 8 POINTS
WHAT DiD ABSORBS
ANYTHING COMMON TO BOTHCANCELS
fuel, weather, the cycle
A PERMANENT LEVEL GAPCANCELS
one region is simply bigger
TREATED-ONLY, POST-PERIODSURVIVES
this is the one you are hired to find
TYPE AN ESTIMATE · ENTER CHECK · SPACE NEXT STEPSTEP 1 OF 3

About The Causal Confounder

Estimate damages with difference-in-differences, then work out which of three facts from discovery biases the estimate.

You are the testifying economist in a damages case. Northgate Retail (the treated region, where the defendant's pricing policy took effect) sold 520k units a month before the policy and 400k after. Southvale (the untouched control) went from 500k to 460k over the same window. Pre-period months are shown for both regions so you can check parallel trends: both were rising at the same rate before the policy, so the design is admissible.

Phase 1 asks for the naive difference-in-differences estimate: the treated group's change minus the control group's change, in thousands of units. Phase 2 presents three facts from discovery - a national fuel surcharge that hit every region, a warehouse fire that hit only Northgate during the post period, and the fact that Northgate has always sold about 20k more than Southvale - and asks which single one biases the DiD estimate.

Phase 3 gives you the fire's documented impact (30k units) and asks for the adjusted causal effect: the naive DiD with the treated-only shock stripped out. Numeric answers are accepted within 3 (thousand units) and each question locks after one check; you can restart the case at the end.

Why quant interviews test this

Difference-in-differences is the workhorse of economic consulting - damages estimation, antitrust impact studies, labor and policy litigation - and interviews test exactly the sequence this game runs: set up the 2x2, state the parallel-trends assumption, compute the estimate, then hunt for what else could explain it. The confounder step is where candidates separate: anyone can subtract two numbers, but naming which facts bias the design and which cancel shows you understand the identification behind the formula.

Expect follow-ups of the form "opposing counsel says the regions were always different - does that kill your estimate?" The trained answer: no, level differences cancel; what would kill it is a treated-only shock inside the post window, and here is how I would test for one.

The The Causal Confounder guide covers how scoring works, the strategy that wins, a worked example and the mistakes most players make.

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