Monday, July 13, 2026probability mass ≠ 1.0
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THE REGRESSION DESKThe Stochastic Parrot
Regression // 551 // 2026-09-24 // OMB + Wikipedia party-control table, keyless

Does divided
government slow
spending?

84 fiscal years of real federal outlay growth (OMB's own historical table) against which party controlled the Senate, House and presidency (Wikipedia's sourced party-control table). Naive, HAC-robust slope: -10.27 points, 95% CI [-22.56, +2.02] — contains zero. The interval only clears zero if you use a standard error that ignores autocorrelation, or drop WWII and COVID by name — and even then, the modern (1978-2025) budget era alone reverses the sign.

Two-panel chart. Left: bar chart of real federal outlay growth by fiscal year, 1941-2025, bars colored navy for unified government and red for divided, with the WWII mobilization years and the FY2020 COVID spike labeled as outliers. Right: forest plot of seven specifications' slope estimates and 95% confidence intervals; only the HC3 (non-autocorrelation-adjusted) spec and the WWII-and-COVID-excluded spec cross zero on the claimed (negative) side, while the modern-era-alone specs sit at or past zero on the opposite side.
Left: WWII (unified) and COVID (divided) are each 3-10x any ordinary year's swing. Right: only two of seven specs clear zero, and the modern-era specs run the other way.
Naive, full sample, HAC(2) SE (n=84)
-10.27 pts
95% CI [-22.56, +2.02], p=0.102. Contains zero.
Modern era alone, FY1978-2025 (n=48)
+1.08 pts
95% CI [-3.19, +5.36], p=0.62. Contains zero, wrong-signed.

Backlog #7: does divided government — a White House held by one party while Congress, in whole or part, answers to the other — actually slow federal spending growth, as the gridlock story assumes? Real (constant FY2017 dollar) federal outlays, year over year, from OMB's own Historical Table 1.3, matched to which party held the Senate, the House and the presidency that fiscal year, from Wikipedia's "Divided government in the United States" party-control table (itself keyed to the standard Senate.gov/History.House.gov record). 84 fiscal years, FY1941-2025; 48 divided, 36 unified. The FY1976→FY1977 pair is dropped — it spans the one-time transition quarter created when the fiscal year calendar itself moved from a July-June to an October-September cycle, not a clean 12-month comparison.

The naive comparison looks like real support for the claim, until the standard error accounts for what a spending-growth series actually is: autocorrelated. Plain group means: outlay growth averages +11.76% under unified government against +1.49% under divided, a 10.27-point gap, Welch p=0.047. Regressed with a heteroskedasticity-only (HC3) standard error, the identical full-sample slope, -10.27 points, 95% CI [-20.24, -0.29], p=0.044 — excludes zero. But federal spending growth is not 84 independent coin flips: a program funded this year is usually still funded next year, and a HAC(2) standard error that accounts for that short-run persistence widens the same point estimate's interval to [-22.56, +2.02], p=0.102 — contains zero. A 4,000-draw bootstrap of the naive slope, which (like the HC3 spec) does not correct for autocorrelation, agrees with HC3 rather than HAC: CI [-20.75, -1.17], 99.0% of resampled slopes negative. The gap between these two honest standard errors is the finding, not noise to average away: whether this claim clears the desk's bar depends on whether year-to-year spending growth is treated as independent, and it is not.

Two named years are doing nearly all of the naive gap's work, and they fell under opposite kinds of control. WWII mobilization and demobilization (FY1941-46, growth swinging -40.5% to +125.4%) happened entirely under one-party unified (D-D-D) government, dragging the "unified" average far above anything a normal peacetime year produces. FY2020's COVID spending spike (+44.5%) happened entirely under divided government (Republican Senate and presidency, Democratic House), dragging the "divided" average down the other way. Dropping WWII alone still contains zero under HAC: -4.36, CI [-9.94, +1.22], p=0.126. Drop both named outliers and the interval does clear zero: -5.27, CI [-10.36, -0.18], p=0.043 — group means on the same cut, +5.85% (unified) vs. +0.58% (divided), Welch p=0.036.

That result does not survive the era every actual version of this argument is describing. The Congressional Budget Act of 1974 rebuilt how Congress appropriates money; FY1978 is the first full fiscal year run entirely under the modern process, and it is the era "divided government causes budget fights" arguments are actually about — not the WWII-era Congress. Restricted to FY1978-2025 alone (n=48), the sign flips: +1.08, CI [-3.19, +5.36], p=0.62 — contains zero, and the point estimate now runs backward from the claim (divided government tracking slightly faster growth). Dropping FY2020 from that modern window narrows it toward zero rather than away from it: -0.24, CI [-2.95, +2.47], p=0.86. Giving control a year to act before judging its effect on spending, the timing a real appropriations lag implies, also contains zero: -3.92, CI [-16.97, +9.12], p=0.56.

Read plainly. The one specification that excludes zero in the claimed direction requires both a standard error that ignores real autocorrelation in the spending series and the removal of two named historical outliers picked for cause, not for fit — and even that result disappears, and reverses sign, the moment the test is restricted to the 48 fiscal years since Congress last rebuilt its own budget process. Every specification built for the era and the standard-error assumption this claim actually needs lands on zero. This is one country's federal budget against one control-of-government indicator across 84 years that include a world war, a pandemic, and a wholesale rewrite of the appropriations process itself — it cannot separate "divided government" from the dozens of other things that moved across the same 84 years, and the desk cannot certify an effect it cannot even get to survive its own honest standard error.

The math

real outlay growth (%) ~ β₀ + β₁·divided government (0/1) · OLS, HAC(2) SE unless noted · annual, FY1941-2025
Specificationnslope, pts real outlay growth, divided vs. unified95% CIVerdict
Naive, full sample, HAC(2) SE (1941-2025)n=84-10.27[-22.56, +2.02]contains zero, p=0.1
Naive, full sample, HC3 SE (no autocorrelation adj.)n=84-10.27[-20.24, -0.29]excludes zero, p=0.044
Ex-WWII (FY1941-46 dropped)n=78-4.36[-9.94, +1.22]contains zero, p=0.13
Ex-WWII & ex-FY2020 COVIDn=77-5.27[-10.36, -0.18]excludes zero, p=0.043
One-year lag (this FY's control, next FY's growth)n=82-3.92[-16.97, +9.12]contains zero, p=0.56
Modern budget-process era alone (FY1978-2025)n=48+1.08[-3.19, +5.36]contains zero, p=0.62
Modern era, ex-FY2020 COVIDn=47-0.24[-2.95, +2.47]contains zero, p=0.86

Method. Real outlays: OMB Historical Table 1.3, "Summary of Receipts, Outlays, and Surpluses or Deficits in Current Dollars, Constant (FY 2017) Dollars, and as Percentages of GDP," the constant-dollar outlays column, FY1940-2025. Party control: Wikipedia's "Divided government in the United States" table (Senate/House/President party by two-year Congress, 1789-2027); each fiscal year takes the control of whichever Congress and President were seated for most of that same-numbered calendar year, an approximation stated here because OMB's fiscal year has run on two different calendars (July-June through FY1976, October-September since) while Congresses and presidential terms run on the January/calendar cycle. Within every two-year block actually used (1940-2025), no party controlling any of the three offices changed mid-block, so the approximation does not mask a control flip inside a single fiscal year. "Divided" means not all three of Senate, House and President belong to the same party that year. The FY1976-77 pair, spanning the one-time transition quarter, is excluded rather than treated as a normal year-over-year change.

Limits, stated plainly. This is one country's aggregate annual outlay growth against one control-of-government indicator — it cannot separate divided government's own effect from everything else that co-moved across 84 years: a world war, the Great Society, stagflation, the end of Bretton Woods, the 1974 Budget Act itself, the 2008 financial crisis, and a pandemic. The naive and HC3 specs are shown deliberately alongside the HAC spec, not because HC3 is preferred, but because the disagreement between them is itself the honest finding: whether this claim clears zero depends on an assumption about the data (independence across years) that a spending series does not actually satisfy. Excluding WWII and FY2020 is a defensible cut on independent historical grounds, not a search through candidate exclusions until one worked — but the fact that a two-outlier exclusion is required at all, and that even it does not survive restricting to the modern budget era, is reported as the result, not hedged around.

The data (84 fiscal years)

divided_gov_outlays_551.csv · fit output (JSON).

Fiscal yearreal outlays ($B, FY2017)growthSenateHousePresidentcontrol
1941199.6+28.61%DDDunified
1942449.9+125.40%DDDunified
1943901.9+100.47%DDDunified
19441139.9+26.39%DDDunified
19451226.3+7.58%DDDunified
1946729.6-40.50%DDDunified
1947409.7-43.85%RRDdivided
1948340.2-16.96%RRDdivided
1949462.3+35.89%DDDunified
1950481.5+4.15%DDDunified
1951508.5+5.61%DDDunified
1952753.7+48.22%DDDunified
1953788.6+4.63%RRRunified
1954710.7-9.88%RRRunified
1955666.4-6.23%DDRdivided
1956659.6-1.02%DDRdivided
1957681.3+3.29%DDRdivided
1958691.9+1.56%DDRdivided
1959744.5+7.60%DDRdivided
1960733.4-1.49%DDRdivided
1961761.1+3.78%DDDunified
1962831.9+9.30%DDDunified
1963830.1-0.22%DDDunified
1964870.9+4.92%DDDunified
1965858.0-1.48%DDDunified
1966950.1+10.73%DDDunified
19671087.5+14.46%DDDunified
19681186.8+9.13%DDDunified
19691149.2-3.17%DDRdivided
19701161.1+1.04%DDRdivided
19711167.0+0.51%DDRdivided
19721204.0+3.17%DDRdivided
19731227.9+1.99%DDRdivided
19741241.3+1.09%DDRdivided
19751398.1+12.63%DDRdivided
19761459.7+4.41%DDRdivided
19781581.9+5.61%DDDunified
19791597.6+0.99%DDDunified
19801694.7+6.08%DDDunified
19811749.8+3.25%RDRdivided
19821785.4+2.03%RDRdivided
19831843.1+3.23%RDRdivided
19841851.8+0.47%RDRdivided
19851984.8+7.18%RDRdivided
19862034.9+2.52%RDRdivided
19872003.2-1.56%DDRdivided
19882053.7+2.52%DDRdivided
19892123.5+3.40%DDRdivided
19902264.6+6.64%DDRdivided
19912292.2+1.22%DDRdivided
19922293.4+0.05%DDRdivided
19932271.0-0.98%DDDunified
19942316.2+1.99%DDDunified
19952331.2+0.65%RRDdivided
19962351.5+0.87%RRDdivided
19972362.6+0.47%RRDdivided
19982420.1+2.43%RRDdivided
19992463.6+1.80%RRDdivided
20002524.6+2.48%RRDdivided
20012559.6+1.39%DRRdivided
20022720.0+6.27%DRRdivided
20032837.1+4.31%RRRunified
20042934.3+3.43%RRRunified
20053059.0+4.25%RRRunified
20063174.4+3.77%RRRunified
20073170.3-0.13%DDRdivided
20083349.3+5.65%DDRdivided
20093964.5+18.37%DDDunified
20103814.5-3.78%DDDunified
20113885.5+1.86%DRDdivided
20123731.8-3.96%DRDdivided
20133601.1-3.50%DRDdivided
20143601.0-0.00%DRDdivided
20153776.1+4.86%RRDdivided
20163916.9+3.73%RRDdivided
20173981.6+1.65%RRRunified
20184022.1+1.02%RRRunified
20194281.3+6.44%RDRdivided
20206186.5+44.50%RDRdivided
20216280.6+1.52%DDDunified
20225427.5-13.58%DDDunified
20235072.8-6.54%DRDdivided
20245417.2+6.79%DRDdivided
20255500.6+1.54%RRRunified
Sources. OMB Historical Tables, Table 1.3 (constant FY2017-dollar receipts and outlays) · Wikipedia: Divided government in the United States, party-control-by-Congress table.

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