This is an bit wonky of an article, but, there is no unsolved question in Economics that is bearing down harder on effective economic policy-making and planning than the slowdown in US productivity. Expectations ran high from the miracles of the high tech revolution, automation, health science and space travel that a boom in creativity and value-creating labor comparable to the deployment of steam technology in the era of industrialization was imminent. Not so, or, nowhere near expectations anyway.
This article explores several aspects of the question.
1. In the LONG RUN there is a strong correlation between wages and productivity. "LONG RUN" -- think decades and scores of years. Also, remember "productivity" is a rate of increase in production per unit of labor (usually calculated in hours). Productivity is obviously closely related to overall economic growth. Produce more with less cost, especially time cost. Population is usually growing, so a rate of economic growth greater than that generated by population growth alone is necessary to increase overall wealth, per capita The data series analyzed by Alelx Tucket sustain a definite correlation, but a multi-dimensional one.
2. The article points out a very important aspect of the relationship between increased productivity and increased wages. The relationship is two-way. In other words, in labor movement vocabulary, the rise in technology demands increased demand for new skills in the labor market, which puts pressure on the labor market -- assuming there is not mass unemployment at the time! But the social struggle of workers for higher wages and benefits was itself a driver of investment by business in labor saving technologies.
The article does not address the large debate about how to measure productivity. However, when you consider valuing commodities like software and other intangible products or services, an unknown, but probably large, missing component in reported data is the cost of theft arising from the relative ease at which products of immense "value" -- say the source code for Microsoft Windows Operating System for example -- can be copied, carried out the door on a thumb drive, in some cases. Thus millions of copies were freely copied in China. That degrades the products economic value, and thus the measured productivity of its creators.
The article skips the rather large social and political narratives that are inseparable companions of any structural -- and many incremental -- economic changes required to either deploy technologies throughout an economy, or to establish institutions of social security, justice, labor rights and protections, or to educate and reeducate new workforces for new occupations and new divisions of the work of society.
Does productivity drive wages? Evidence from sectoral data