We lay out a framework that can be used to obtain estimates of the possible impact of (com-
binations) of polarization measurements in pseudoscalar-meson photoproduction from the nucleon.
To this end, we quantify the distance between models for pseudoscalar-meson photoproduction in
amplitude space. Experimental observables, with finite accuracy, map to probability distributions
in amplitude space, and the characteristic width scale of such distributions needs to be smaller than
the distance between models if the observable data are going to be useful. We therefore also intro-
duce a method for evaluating probability distributions in amplitude space that arise as a result of
one or more measurements, and show how one can use this to determine what further polarization
measurements are going to be necessary to be able to discriminate among models.
Additionally, we illustrate how a Bayesian analysis can shed light onto the resonance content of,
amongst others, pseudoscalar meson photoproduction reactions. Hereby, not only the point estimate
from a best chi-square analysis is relevant, but rather the weight of the parameter space which is
compatible with a given measurement must be taken into account. We illustrate how, in this context,
a chi-square analysis compares to a Bayesian analysis which includes the full parameter space.