Hello Gordon, to perhaps try give a bit more perspective, there are three aspects requiring signatures on an electrical installation certificate, (1) design (2) construction & installation (3) inspection and testing. A sample certificate page from one of the guidance books is shown. {note there are other pages that require a lot of test results about the circuit and the supply characteristics also to be written}
Larger companies working on bigger jobs may use different employees or subcontractors for different parts of the work. Thus multiple signatures. On most domestic work it is a single person from a single company who signs for everything, (so there is a shorter single signatory certificate). Whoever signs the bit of paper they give you is leaving you with some written evidence that they declare the work complies with BS7671 and is safe. Should something unforeseen happen in the future and someone gets seriously injured due to the work it does leave a bit of a large liability with the person who's signed your certificate.
Some electricians may willingly take the gamble and the money and drive off onto the sunset. Others will not take any risk at all. Some may be willing to use a full three signature certificate and only sign the inspection & testing part, but you then have to decide what to do about design & construction. The EICR others have mentioned is not a certificate, it is an inspection report, that purely gives a satisfactory or unsatisfactory evaluation of an installation with ref to the currently wiring regulations. An EICR should not be used for new or alteration work, it is intended for an inspection of an existing installation after it has been in use for a period of time. 10 years for the average domestic dwelling.
It is rather like an insurance premium, if someone is willing to take the risk of signing for work they have not done, they would probably raise their costs for the signed work to be even more than if they had done all the work in the first place. Which then means it is not so cost effective for you to have done any of it anyway. But as Apache says a vast amount of DIY electrical work goes on every day without any certificates or proper testing, homeowners take the full risk and gamble and live to see another day.
Doc H.