Whiles by the experiment of this ministration they glorify God for your professed subjection unto the gospel of Christ, and for your liberal distribution unto them, and unto all men;
By - through.
Experiment. Translate, 'the experience.' Or, 'the experimental proof х tees (G3588) dokimees (G1382)] of your Christian character afforded by "this ministration."
They - the recipients.
For your professed subjection, х tee (G3588) hupotagee (G5292) tees (G3588) homologias (G3671)] - 'for the subjection of your profession;' i:e., your subjection in accordance with your profession, in relation to the Gospel precepts, evinced in acts as well as in profession.
Your liberal distribution - Greek, 'the liberality of your contribution to them,' etc.