How to Assess and measure Emotional Intelligence and Intelligence Quotient?

According to Goleman, Intelligence Quotient (IQ) and Emotional Intelligence (EI) should not be regarded as competencies with an opposite direction. They are rather separate competencies. People with a high IQ but low EI (or the opposite) are, despite the stereotypes, relatively rare. There is a correlation between IQ and some aspects of EI. Do you think that a "star performer" in leadership and business has low IQ and high EI as experts state?