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A change in scope will definitely affect quality in that if resiources have been allocated to cater for the original scope, a change or expansion in the scope would mean additional resource allocation in order to meet up with the delivery time frame of the project. If extra resources are unavailable, quality would be compromised in order to fit the existing resources to the changed project scope. It would also mean that more pressure would be put on activities on the critical path.
I think scope affects the quality most in construction industry then in the others because of the very high cost of re-work. This is part of the configuration management framework defined by most organizations by virtue of which changing one of the4 constraints (Scope, Quality, Cost and Schedule) will affect the others in a good or bad way. But it also depends on where you are in the Project lifecycle. if you are still in the concept or design phase, it might be less damaging to the quality of the final product whereas the later you get in the lifecycle more drastic the affect may be to the outcome.
The famous triangle of scope, cost and schedule has quality in the heart of the triangle.
We have to change or adjust the contract and the specifications to change the quality.