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RainbowStats Project Journal

Development notes, market research, visualizations, and command examples.

COVID Broke the Fit, Not the Relationship
2026-09-17

A RainbowStats examination of unemployment, bank-loan delinquencies, COVID adjustment, reverse causality, and transfer functions.

Basic Economic Theory Still Holds | RainbowStats
2026-09-16

A longer sample and controlled regression show that supply normalization—not faster growth—drove pandemic-era disinflation.

The Other Side of Reallocation
2026-09-15

On the speed of labor reallocation -- descriptive evidence, clearly labeled

Foreign-Born Labor, Technology and Growth
2026-09-15

A short RainbowStats VAR test of foreign-born labor-force participation, technology production and real GDP per person.

The Wealth of Nations—Redux
2026-09-15

A RainbowStats test of how freer access to productive work raises productivity, income and wealth—and how compounded wealth creates new opportunity.

When a Replication Works Almost Too Well | RainbowStats Blog
2026-09-14

A public-data replication of the New York Fed's R-star–labor-share nexus, expanded with capacity utilization and a VAR-derived DSGE representation.

Viva La Différence | RainbowStats Blog
2026-09-13

A viral chart about men and women in the workforce leads to a closer RainbowStats examination of occupational employment and median weekly earnings.

Ibbotson Was Right—but Retained Earnings Explain Why
2026-09-12

A FRED-based decomposition of aggregate equity returns, retained corporate earnings, and Treasury bond returns—with a warning from the 1936–1938 undistributed-profits tax.

Beyond State Lines: The Hidden Forces in County Housing Prices
2026-09-11

RainbowStats uses principal components instead of state dummy variables to explain county housing-price growth.

Artificial Lines, Real Housing Markets
2026-09-10

An exploratory analysis of how county house-price growth clustered across eight U.S. states in 2024.

When Place Enters the Model: What a State Effect Reveals
2026-09-09

A follow-up to the RainbowStats county mental-distress study showing how a Washington state fixed effect exposes omitted-variable bias in the pooled model.

Canada Is Not Cornered
2026-09-09

A data-led examination of U.S.–Canada political rhetoric, markets, European trade, aerospace supply chains and energy interdependence.

Fifty Years Later: The Human Toll of a Technological Society
2026-09-08

A reflection on Kenneth Keniston, artificial intelligence, productivity, compensation, isolation and mental distress in Washington and Iowa counties.

Two Historical Echoes: The Great Financial Crisis and the Return of Fascism
2026-09-07

Two historical echoes—from the pre-1914 world and the aftermath of 1929—help explain why the unresolved Great Financial Crisis still matters politically.

Instrument Hacking
2026-09-06

A RainbowStats reproduction of Instrument Hacking by Michael P. Keane, Timothy Neal, and Patrick Vu.

One Oddity Is Noise. Four Deserve Attention.
2026-09-05

What the August 2026 jobs report looks like after stripping away the headline

From Magic to Alchemy
2026-09-04

How dummy variables can transform an attractive OLS fit into something spectacular—and why that spectacle may be a warning about overfitting rather than evidence of causation.

Brexit Without the Apocalypse
2026-09-03

The feared UK collapse is hard to see against nearby European economies. The larger post-2010 story is that Britain, Germany, and a Northwest European control all grew more slowly than the United States.

Putting our model on the line: +41,000 jobs Friday
2026-09-02

The August Employment Situation arrives Friday at 8:30 a.m. Eastern. We are publishing our number in advance—and showing every assumption behind it.

When One Slope Isn't Enough -- Linear Programming Can Help
2026-09-02

A RainbowStats comparison of OLS and tax-period LP median regression for the Gini index and labor share versus corporate profits relative to GNP.

The Fed Supplies Liquidity. Markets Decide Where It Goes.
2026-09-01

AI investment, government borrowing, housing, and the shadow price of constrained capital

Is the Fed Adding Liquidity? What M2 and the Fed’s balance sheet actually tell us
2026-08-31

M2, bank reserves, Fed assets, and a net liquidity proxy tell different stories. Five charts and reproducible RainbowStats analysis explain why.

The Shrinking Premium on Small Euro-Area Loans
2026-08-31

ECB data show a narrowing interest-rate premium on smaller euro-area corporate loans. Reproduce the charts with a six-line RainbowStats script.

Fifty States, Three Economic Stories | RainbowStats
2026-08-30

Three state-level principal component analyses reveal distinct unemployment, participation, and GDP patterns using RainbowStats wildcards.

Can a Dual Mandate Stabilize Inflation? | RainbowStats
2026-08-29

RainbowStats tests whether the Federal Reserve's dual mandate supports price stability using a transparent VAR and COVID-break regressions.

The Same Data, Four Different Stories
2026-08-27

How scale, denominators, inequality, and regression choices change the story told by household wealth data.

Eleven Trade Equations, One Global Shock
2026-08-26

A one-line RainbowStats script estimates eleven U.S. bilateral trade equations as a seemingly unrelated regression system.

Inflation Has Two Clocks: Labor Pressure and Persistence
2026-08-25

A RainbowStats analysis of labor-market tightness, inflation persistence, matched comparisons and transfer-function lags.

Inflation Has Weights
2026-08-24

Use RainbowStats to see the official component weights behind the CPI and PPI in one line of script.

When Do Bank Reserves Become Scarce?
2026-08-23

A public-data threshold analysis of Federal Reserve reserve demand, inspired by Ricardo Lagos and Gastón Navarro.

AI’s Credit Footprint: From Capital Spending to Commercial Paper to Bank Lending
2026-08-22

From AI capital spending to commercial paper to bank lending—a reproducible public-data analysis.

From Black–Scholes to Variance Gamma
2026-08-21

Black-Scholes, characteristic functions, FFT option pricing and Variance Gamma skew.

Treasury’s Short-Term Funding Trap
2026-08-19

How a 38.2-basis-point increase in bill rates can erase the annual savings from a full 100-basis-point decline in long-term rates—and why Treasury’s maturity choices put the Federal Reserve in a bind

Energy and Seattle
2026-08-19

A data-driven view of the future of energy: electrification, generation, storage, oil, emissions, grid constraints, and Seattle's hydropower advantage.

R-star: A Useful Concept, an Uncertain Number
2026-08-17

LW and HLW disagree materially about the neutral real interest rate, real-time revisions are large, and a market-based estimate contradicts both models.

Does Cannabis Make Us More Productive?
2026-08-17

Thoughts on the Legalization of Cannabis

Short Movie on the Panic of 1907
2026-08-17

Short Movie on the Panic of 1907; the imputus for the creation of the Federal Reserve

Everybody Must Get Stoned
2026-08-16

The Effect of Cannabis on Beer Sales

Can a Retained-Earnings Penalty Meaningfully Reduce the Federal Deficit?
2026-08-14

We test whether taxing excess corporate retained earnings could meaningfully reduce federal deficits—and find that even aggressive assumptions barely affect debt-to-GDP.

The Strategic Petroleum Reserve: Who Benefits?
2026-08-11

A data-driven look at the 2026 Strategic Petroleum Reserve exchange, its repayment economics, and the refining margins associated with released crude.

Using SUR Regression to Study Currency Exchange Rates
2026-07-11

A Demonstration of Zellner's Seemingly Unrelated Regressions -- SUR

Money, Velocity, and Three-Stage Least Squares
2026-07-09

Using Three-Stage Least Squares to Analyze Money and Velocity

Political Analysis by Party and Presidency
2026-07-06

Political Analysis by Party and Presidency

SPX,M2 Money and Retained Earnings
2026-07-03

SPX,M2 Money and Retained Earnings

Wages, Time, and Dining Out
2026-07-02

Family Optimization of Wages, Time, and Dining

Eat Your Broccoli
2026-07-01

Linear Programming and the Family Budget

Artifical Intelligence and the S&P 500
2026-06-28

Is this Chart Signaling a Pause?

Tolstoy, Epicycles and Markets
2026-06-27

Looking and Market History as a Confluence of Cycles

Moment Diagram for Asset Returns - Skewness and Kurtosis
2026-06-26

Moment Diagram for Asset Returns - Skewness and Kurtosis

Gasoline Prices and the Consumer Savings Rate
2026-06-25

Gasoline and Savings

Principal Compoenents and Recessions
2026-06-21

Using Principal Compoenents to estimate Recession Probability

S&P 500 Rise and Credit Spreads using the Merton Model
2026-06-19

S&P 500 Rise and Credit Spreads using the Merton Model

Inflation, Fed and Epicycles
2026-06-18

Explaining Fed Policy with Epicycles

Retail Sales Epicycles
2026-06-17

Reconstructing retail sales using Fourier epicycles.

Business Formation and Employment Growth
2026-06-09

Business Formation and Employment Growth

Business Formation and Employment Growth
2026-06-05

Business Formation and Employment Growth

Dynamic Sankey Chart of US GDP by Industry
2026-05-31

Dynamic Sankey Chart of US GDP by Industry

Structured Products
2026-04-23

Structured Products

Modeling Oil Shock of the Iranian Hormuz Closure using RainbowStats
2026-03-25

Modeling Oil Shock of the Iranian Hormuz Closure using RainbowStats