In August, the labor-force participation rate in the U.S. dropped to 63.5%, the lowest since September 1981. By definition, fewer people in the workforce leads to better unemployment numbers. That’s why the unemployment rate dropped to 8.1% in August from 8.3% in July.

Meanwhile, we’re told in the BLS report that in the months of August and September, federal, state and local governments added 602,000 workers to their payrolls, the largest two-month increase in more than 20 years. And the BLS tells us that, overall, 873,000 workers were added in September, the largest one-month increase since 1983, during the booming Reagan recovery.

These three statistics—the labor-force participation rate, the growth in government workers, and overall job growth, all multidecade records achieved over the past two months—have to raise some eyebrows. There were no economists, liberal or conservative, predicting that unemployment in September would drop below 8%. …

The good news is that the current debate has resulted in people giving the whole issue of unemployment data more thought. Moreover, it led to some of the campaign’s biggest supporters admitting that the number merited a closer look—and even expressing skepticism. The New York Times in a Sunday editorial, for instance, acknowledged the 7.8% figure is “partly due to a statistical fluke.”