Is this refresher or initial training? Have you assessed the objectivity, competency and impartiality of the internal auditors?
Since "Auditing for Improvement" is not the focus of most audit training curriculums, it is designed for both new auditors and experienced auditors. It is a new approach using a proprietary system we put together, to lead auditors through an appropriate, thorough "process approach" audit.
I would say that is baked into the purpose of the training. To teach people to "Audit for Improvement" effectively, addresses objectivity and developing competence.
Impartiality would have to be controlled when auditors are assigned specific processes to audit.
The thing I am excited about, is after many iterations, we finally have developed a checksheet system that leads auditors down the right paths of all the process audit linkages and rabbit trails, which so easily get missed. We also teach some audit concepts that are nontraditional, and cause auditors to look for things they have not looked for before.
Essentially, I took the things a good third party auditor learns, and distlled it into a system that internal auditors with less experience can still master and follow. been getting good feedback. It is the right approach for companies to follow, whether they use my system, or develop their own. merely auditing for ISO compliance is a diminishing return on value.