You can use the SISTRIX Toolbox Link module extensively to shine a light on inferior links and other criteria. We have a specific tutorial, where we will show you how you can find those backlinks for your website which are of low quality:
- SISTRIX Tutorial: Tips for detecting a natural link profile
Video explanation by Matt Cutts on the subject of high quality backlinks
https://www.youtube.com/embed/3Ws83x5Vz0A