The phrase "affect how strongly" is correct and usable in written English.
You can use it when discussing the influence or impact of one factor on the intensity or degree of another factor.
Example: "The amount of sleep you get can significantly affect how strongly you perform on tests."
Alternatives: "influence the intensity" or "impact the degree".
Every gene has an on/off switch and a dial that affects how strongly the gene is on (like a light dimmer).
In those studies, we found that the things that happen the first time a group meets strongly affect how the group operates throughout its entire life.
Individual differences in "social motives," or our preferences for certain kinds of outcomes when we interact with other people, strongly affect how we approach negotiation, according to Carnegie Mellon University professor Laurie R. Weingart.
For these funds, political ideologies and (lack of) business ties with portfolio companies strongly affect how they vote, whereas they do not appear to pursue political interests at the cost of investor value in proxy voting.
Attributions strongly affect how individuals wish to see public policy respond to the problem of crime and explain a small but significant fraction of the black-white difference in crime policy views.
They find that the mix of skills called for is very diverse across the countries, implying that there is no universal set of requirements and also that domestic institutions and structures strongly affect how demand is formulated.
Findings suggest that interfaces can strongly affect how online content is explored, perceived, remembered, and acted on, and further work in interface psychology could be as fruitful as research exploring the content itself.
Indeed, physicians' and patients' explanatory models of illness can play important roles in the medical encounter and can strongly affect how patients and physicians come to understand each other.
Work type may affect how individuals perceive their daily environment, as in humans where daily mood is strongly affected by stress at work (2).
Another feature of the game that strongly affects how we respond is the limit on how much we can play at any given time.
