Appendix: The Complete State Results
All calculations below are from the RainbowStats run on August 30, 2026. U = unemployment; P = labor force participation; GDP = real state GDP. PC_0 is the first component and PC_1 is the second.
The two labor analyses each use 605 monthly log changes. GDP uses 84 quarterly log changes. Columns describe different, independently estimated components; they are not matched-sample tests.
State correlations with the first two components
| State | U PC_0 | U PC_1 | P PC_0 | P PC_1 | GDP PC_0 | GDP PC_1 |
|---|---|---|---|---|---|---|
| Alabama | 0.9647 | -0.1088 | 0.7529 | -0.1502 | 0.9442 | -0.0532 |
| Alaska | 0.9089 | 0.0850 | 0.7559 | -0.0946 | 0.3412 | 0.7133 |
| Arizona | 0.9241 | -0.0264 | 0.7048 | 0.1066 | 0.8419 | -0.1446 |
| Arkansas | 0.9171 | 0.0276 | 0.4310 | 0.3502 | 0.6835 | -0.0539 |
| California | 0.9602 | 0.1071 | 0.5863 | 0.1249 | 0.8734 | -0.0679 |
| Colorado | 0.8736 | 0.1452 | 0.6414 | -0.2650 | 0.8787 | 0.1045 |
| Connecticut | 0.7878 | 0.4265 | 0.8010 | -0.1754 | 0.7544 | -0.0708 |
| Delaware | 0.8037 | 0.1612 | 0.5745 | -0.3363 | 0.3909 | -0.1622 |
| District of Columbia | 0.8779 | -0.1730 | 0.3325 | 0.3394 | 0.6477 | 0.0092 |
| Florida | 0.9435 | 0.1530 | 0.8982 | -0.2391 | 0.9145 | -0.1239 |
| Georgia | 0.9362 | -0.0867 | 0.5587 | -0.0009 | 0.9139 | -0.1709 |
| Hawaii | 0.9497 | -0.0401 | 0.5231 | -0.1654 | 0.8308 | 0.0346 |
| Idaho | 0.9570 | -0.0712 | 0.6338 | 0.1961 | 0.8396 | -0.0584 |
| Illinois | 0.9623 | -0.0270 | 0.7219 | 0.2541 | 0.9387 | -0.0077 |
| Indiana | 0.9642 | -0.0943 | 0.7366 | 0.0806 | 0.9303 | -0.1354 |
| Iowa | 0.9652 | -0.0820 | 0.2130 | 0.6874 | 0.7603 | -0.1309 |
| Kansas | 0.9645 | -0.0953 | 0.5258 | 0.3686 | 0.7183 | 0.0312 |
| Kentucky | 0.8832 | -0.0669 | 0.2061 | 0.3937 | 0.9379 | -0.0411 |
| Louisiana | 0.5853 | 0.0729 | 0.4297 | -0.0071 | 0.7818 | 0.2736 |
| Maine | 0.8979 | 0.1411 | 0.8080 | -0.0010 | 0.8810 | -0.1121 |
| Maryland | 0.9185 | 0.0643 | 0.8093 | 0.1609 | 0.8462 | -0.1368 |
| Massachusetts | 0.9653 | -0.0761 | 0.8719 | -0.2940 | 0.8912 | -0.0068 |
| Michigan | 0.9672 | -0.0288 | 0.8373 | -0.3569 | 0.9116 | -0.0935 |
| Minnesota | 0.8811 | 0.2843 | 0.7977 | -0.1985 | 0.8813 | -0.1298 |
| Mississippi | 0.8994 | -0.1453 | 0.7116 | 0.0484 | 0.8837 | -0.0359 |
| Missouri | 0.9586 | -0.0351 | 0.5485 | 0.2853 | 0.8867 | 0.1113 |
| Montana | 0.9653 | -0.1021 | 0.5327 | 0.1816 | 0.7830 | -0.0222 |
| Nebraska | 0.8000 | -0.0179 | 0.4280 | 0.3684 | 0.6631 | -0.2669 |
| Nevada | 0.9515 | 0.0060 | 0.2598 | 0.2393 | 0.9250 | 0.0290 |
| New Hampshire | 0.9630 | -0.0929 | 0.8457 | -0.0133 | 0.7925 | -0.0252 |
| New Jersey | 0.8840 | 0.0918 | 0.6632 | -0.1048 | 0.9423 | -0.0365 |
| New Mexico | 0.7719 | 0.3345 | 0.8763 | 0.0765 | 0.7229 | 0.5385 |
| New York | 0.9598 | 0.1116 | 0.9080 | -0.1421 | 0.6973 | -0.1109 |
| North Carolina | 0.9413 | -0.0313 | 0.6667 | -0.0031 | 0.8375 | -0.0864 |
| North Dakota | 0.9492 | -0.0575 | 0.1535 | 0.4884 | 0.4010 | 0.4074 |
| Ohio | 0.9701 | -0.0554 | 0.9048 | 0.0133 | 0.9459 | -0.1242 |
| Oklahoma | 0.9445 | -0.0310 | 0.6069 | 0.0834 | 0.5854 | 0.5743 |
| Oregon | 0.9668 | -0.0205 | 0.7442 | -0.1618 | 0.8479 | -0.0613 |
| Pennsylvania | 0.9783 | -0.0742 | 0.8189 | -0.0300 | 0.9293 | -0.0333 |
| Rhode Island | 0.9521 | -0.0179 | 0.8094 | -0.2136 | 0.8252 | -0.0292 |
| South Carolina | 0.9562 | -0.0424 | 0.2128 | 0.3081 | 0.9152 | -0.1695 |
| South Dakota | 0.9475 | -0.1144 | 0.1909 | 0.4601 | 0.4633 | -0.1006 |
| Tennessee | 0.9770 | -0.0816 | 0.8182 | 0.0618 | 0.9409 | -0.0671 |
| Texas | 0.9248 | 0.0947 | 0.8569 | -0.2102 | 0.8128 | 0.3515 |
| Utah | 0.9356 | -0.0599 | 0.4541 | 0.2686 | 0.7686 | -0.1289 |
| Vermont | 0.9711 | -0.1130 | -0.1957 | 0.7507 | 0.9008 | 0.0737 |
| Virginia | 0.9665 | -0.0211 | 0.6582 | 0.3652 | 0.9409 | -0.0181 |
| Washington | 0.9224 | -0.0118 | -0.0332 | 0.6689 | 0.8591 | -0.0879 |
| West Virginia | 0.9569 | -0.0547 | 0.6856 | 0.0228 | 0.7789 | 0.3876 |
| Wisconsin | 0.9673 | -0.0921 | 0.3629 | 0.2516 | 0.9265 | -0.0876 |
| Wyoming | 0.1835 | 0.9072 | 0.6941 | -0.1871 | 0.4264 | 0.7333 |
How the correlations were calculated
For correlation-matrix PCA, the correlation of state i with component j is its eigenvector loading multiplied by the square root of the component eigenvalue. The eigenvalue is 51 multiplied by the incremental explained-variance fraction. The source loadings were returned by RainbowStats.
These values are not thresholded. The interactive correlation chart suppresses values at or below an absolute correlation of 0.10; the article and appendix retain them. Component signs are arbitrary, and small negative values should not be interpreted as substantial inverse relationships.
All-state first-component charts
Unemployment
Labor force participation
Real state GDP
Explained variance: all 51 components
| Component | U share | U cumulative | P share | P cumulative | GDP share | GDP cumulative |
|---|---|---|---|---|---|---|
| PC_0 | 84.0245% | 84.0245% | 41.8462% | 41.8462% | 66.2489% | 66.2489% |
| PC_1 | 3.0319% | 87.0564% | 8.0041% | 49.8503% | 5.1162% | 71.3651% |
| PC_2 | 1.8501% | 88.9065% | 6.7048% | 56.5551% | 3.2354% | 74.6005% |
| PC_3 | 1.1447% | 90.0512% | 3.4372% | 59.9923% | 2.7115% | 77.3120% |
| PC_4 | 0.9824% | 91.0337% | 2.6689% | 62.6612% | 2.5880% | 79.9000% |
| PC_5 | 0.7994% | 91.8331% | 2.4073% | 65.0685% | 1.7165% | 81.6166% |
| PC_6 | 0.7630% | 92.5961% | 2.1866% | 67.2551% | 1.6995% | 83.3161% |
| PC_7 | 0.5048% | 93.1008% | 1.9347% | 69.1898% | 1.5802% | 84.8963% |
| PC_8 | 0.4898% | 93.5906% | 1.7388% | 70.9286% | 1.2511% | 86.1474% |
| PC_9 | 0.3922% | 93.9829% | 1.7108% | 72.6394% | 1.0885% | 87.2359% |
| PC_10 | 0.3693% | 94.3522% | 1.6384% | 74.2778% | 0.9856% | 88.2215% |
| PC_11 | 0.3605% | 94.7126% | 1.5683% | 75.8461% | 0.9328% | 89.1543% |
| PC_12 | 0.3327% | 95.0454% | 1.4967% | 77.3429% | 0.8802% | 90.0344% |
| PC_13 | 0.3186% | 95.3640% | 1.4212% | 78.7641% | 0.8487% | 90.8831% |
| PC_14 | 0.3034% | 95.6674% | 1.3416% | 80.1056% | 0.7993% | 91.6824% |
| PC_15 | 0.2668% | 95.9342% | 1.2627% | 81.3683% | 0.6802% | 92.3626% |
| PC_16 | 0.2540% | 96.1882% | 1.2121% | 82.5804% | 0.6651% | 93.0277% |
| PC_17 | 0.2296% | 96.4178% | 1.1119% | 83.6923% | 0.6116% | 93.6393% |
| PC_18 | 0.2127% | 96.6305% | 1.0658% | 84.7581% | 0.5543% | 94.1936% |
| PC_19 | 0.2056% | 96.8361% | 1.0145% | 85.7726% | 0.5393% | 94.7328% |
| PC_20 | 0.1956% | 97.0316% | 0.9731% | 86.7457% | 0.4825% | 95.2153% |
| PC_21 | 0.1762% | 97.2078% | 0.9055% | 87.6512% | 0.4395% | 95.6548% |
| PC_22 | 0.1670% | 97.3748% | 0.8656% | 88.5168% | 0.4197% | 96.0745% |
| PC_23 | 0.1585% | 97.5334% | 0.8401% | 89.3569% | 0.3697% | 96.4441% |
| PC_24 | 0.1524% | 97.6858% | 0.7865% | 90.1434% | 0.3618% | 96.8060% |
| PC_25 | 0.1509% | 97.8366% | 0.7196% | 90.8631% | 0.3454% | 97.1514% |
| PC_26 | 0.1469% | 97.9835% | 0.7053% | 91.5684% | 0.2804% | 97.4318% |
| PC_27 | 0.1384% | 98.1219% | 0.6927% | 92.2611% | 0.2659% | 97.6977% |
| PC_28 | 0.1362% | 98.2581% | 0.6336% | 92.8947% | 0.2319% | 97.9296% |
| PC_29 | 0.1284% | 98.3865% | 0.6210% | 93.5156% | 0.2034% | 98.1331% |
| PC_30 | 0.1234% | 98.5099% | 0.5873% | 94.1029% | 0.1921% | 98.3252% |
| PC_31 | 0.1166% | 98.6265% | 0.5446% | 94.6476% | 0.1805% | 98.5057% |
| PC_32 | 0.1155% | 98.7420% | 0.4901% | 95.1377% | 0.1778% | 98.6835% |
| PC_33 | 0.1090% | 98.8510% | 0.4720% | 95.6098% | 0.1492% | 98.8327% |
| PC_34 | 0.0990% | 98.9500% | 0.4453% | 96.0550% | 0.1365% | 98.9692% |
| PC_35 | 0.0935% | 99.0436% | 0.3948% | 96.4499% | 0.1277% | 99.0969% |
| PC_36 | 0.0861% | 99.1297% | 0.3613% | 96.8112% | 0.1172% | 99.2141% |
| PC_37 | 0.0844% | 99.2141% | 0.3489% | 97.1601% | 0.1095% | 99.3236% |
| PC_38 | 0.0795% | 99.2936% | 0.3269% | 97.4870% | 0.1008% | 99.4244% |
| PC_39 | 0.0774% | 99.3710% | 0.3082% | 97.7952% | 0.0947% | 99.5191% |
| PC_40 | 0.0760% | 99.4470% | 0.2908% | 98.0861% | 0.0797% | 99.5988% |
| PC_41 | 0.0733% | 99.5203% | 0.2857% | 98.3717% | 0.0713% | 99.6701% |
| PC_42 | 0.0685% | 99.5888% | 0.2596% | 98.6313% | 0.0578% | 99.7279% |
| PC_43 | 0.0641% | 99.6529% | 0.2324% | 98.8637% | 0.0536% | 99.7815% |
| PC_44 | 0.0593% | 99.7122% | 0.2040% | 99.0677% | 0.0459% | 99.8274% |
| PC_45 | 0.0544% | 99.7666% | 0.2032% | 99.2708% | 0.0450% | 99.8724% |
| PC_46 | 0.0540% | 99.8207% | 0.1914% | 99.4622% | 0.0400% | 99.9124% |
| PC_47 | 0.0497% | 99.8704% | 0.1588% | 99.6210% | 0.0287% | 99.9411% |
| PC_48 | 0.0449% | 99.9153% | 0.1425% | 99.7635% | 0.0260% | 99.9671% |
| PC_49 | 0.0436% | 99.9589% | 0.1230% | 99.8865% | 0.0206% | 99.9876% |
| PC_50 | 0.0411% | 100.0000% | 0.1135% | 100.0000% | 0.0124% | 100.0000% |