The problem is not just scientific, but moreover philosophical (philosophy being the mother of all sciences).
Classical science dismissed the subject as if it would not exist. The perspective of the subject was considered always as an absolute truth, which implies that no other truths are valid, and that there's almost no subject, assuming that any scientific statement is totally objective. Perhaps we can describe such approach as this: objectivity is the absolute negation of the subject.
Modern science, on the contrary, has been required to consider the subject to keep advancing. That means that even if we want to exclude any subjective bias, any observation has always a biased (subjective) content, so a philosophical approach is always necessary for any interpretation (considering that most interpretations of reality are biased by our senses).
The most precise example of this issue is Kant's Copernican Revolution. It is called so, because Kant switched the problem of knowledge from the object to the subject. Probably since then, science had a solid foundation for the inclusion of the subject in the production of knowledge.
Examples in science, there are thousands. Possibly, the difference between the interpretation of quantum mechanics between Einstein and Bohr was the attempt of Einstein to have an objectivist perspective. Although that Einstein already had introduced the subject in Newton's laws of motion. For me, Boltzmann's equation has been always a proof of absolutism in science: his mathematical interpretation of entropy is perfect, for a nature made of particles, of small balls. But nature is not made of balls. Pre-darwinian approaches of survival were focused on the object (nature). Darwin introduced in science the role of the subject on the behavior of the ecosystem and on its own survival. Pre-Bertalanffy approaches of general entities follow the same lines, the theory of systems becoming a description of how the whole is impacted by its parts, each one related to a particular subjective behavior (which is not necessarily human). etc.
Remark that science deals with empirical truths, that is, the truths that result from experience, which might be incompatible with absolute or philosophical truths. Empirical truths are usually accepted, as long as they are useful (e.g. Boltzmann equation). That's why Newton's laws, creationism (against evolutionism), reductionism (against the systems theory), or the classical atomic theory (against quantum mechanics) were considered valid in a certain point of history.
There's a similar issue in philosophy, regarding ontology: most ontological approaches (study of the object) become epistemological problems after some analysis. That is just a case of a Copernican Revolution. An ontological approach of a rainbow will show that the colors, the position, and any possible knowledge of the rainbow is usually determined by subjective elements. So, the problem becomes, from ontologic (focused on the object) to epistemologic (focused on the interaction object - subject). But there's more! In multiple situations, the problem comes to be generic, so, a purely epistemic approach (focused completely on the subject) could be the last resort. Precisely what Kant did. But even if Kant set the agenda, the task of understanding the observer, us, is far from being completed.