I have seen a lot of sentences that end with another (typically) smaller sentences, often starting with "with", which give a description of some word that was introduced in the main sentence. I do not remember any specific sentence right now (sorry), but I want to compose such a sentence in my academic paper. This is how I write it:
Bonferroni’s post-hoc test was employed, with its results shown in table 3.
I am suspicious about the highlighted part. I don't know the underlying grammar for it. Is it correct as is? Should there be tense consistency (past-present-future) between main sentence (first part) and the descriptive part? Or always progressive verbs (-ing) should be used? For example, which one of the following is preferred?
Bonferroni’s post-hoc test was employed, with its results being shown in table 3.
Bonferroni’s post-hoc test was employed, with its results that were shown in table 3.