ISO Description

ISO/IEC 17043:2010
Conformity assessment -- General requirements for proficiency testing
ISO/IEC 17043:2010 specifies general requirements for the competence of providers of proficiency testing schemes and for the development and operation of proficiency testing schemes. These requirements are intended to be general for all types of proficiency testing schemes, and they can be used as a basis for specific technical requirements for particular fields of application.

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ISO/IEC 17025:2017
General requirements for the competence of testing and calibration laboratories
ISO/IEC 17025:2017 specifies the general requirements for the competence, impartiality and consistent operation of laboratories.

ISO/IEC 17025:2017 is applicable to all organizations performing laboratory activities, regardless of the number of personnel.
Laboratory customers, regulatory authorities, organizations and schemes using peer-assessment, accreditation bodies, and others use ISO/IEC 17025:2017 in confirming or recognizing the competence of laboratories.

Conformity assessment -- Requirements for bodies certifying products, processes and services
The standard we speak of is ISO/IEC 17065, “Requirements for bodies certifying products, processes and services,” and its most recent revision was published in September 2013. Its predecessor, ISO/IEC Guide 65, had been in existence since the mid-1990s and was referenced and used by industries and regulators around the world. Many of these industries and governments are shifting towards requiring third-party accreditation of the CBs which certify the products, processes, or services entering or being used in the country or region where the regulators have oversight

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defined in ISO/IEC 17020:2012, and it applies to any stage of inspection.

ISO 17020, entitled "General Criteria for the Operation of Various Types of Bodies Performing Inspection", is an internationally recognized standard for the competence of inspection bodies. ISO 17020 should not be confused with ISO 9001, which is specific to quality management systems.  ISO 9001 does not require evaluation of the technical competence of an inspection body and it should not be regarded as an ‘acceptable’ alternative to ISO 17020.

Conformity assessment -- Requirements for bodies providing audit and certification of management systems -- Part 1: Requirements
ISO/IEC 17021-1:2015 contains principles and requirements for the competence, consistency and impartiality of bodies providing audit and certification of all types of management systems.

Certification bodies operating to ISO/IEC 17021-1:2015 do not need to offer all types of management system certification.
Certification of management systems is a third-party conformity assessment activity and bodies performing this activity are therefore third-party conformity assessment bodies.