"This is an appointment to a public organisation that acts as a watchdog on human rights and the activities of government," Mr Robertson said.
"This alone should mean that the public have a right to know who is on the panel - even more so when that panel recommends a National Government MP for the role."
The documents reveal that after Justice Secretary Andrew Bridgeman and Secretary of Defence Helene Quilter, the third person on the panel was the chief executive of a state owned enterprise.
However when asked yesterday why she withheld the third name, Ms Collins said it was because that person as a representative of civil society, and it was right to protect their identity.
When Mr Robertson pointed out the documents showed that person was an SOE chief executive, Ms Collins said it was "pretty jolly obvious.. there was going to be that particular person, and then that was changed".
However even Mr Carter found at least one of Ms Collins' answers unsatisfactory and "not helpful to the House". Mr Carter penalised her by giving Mr Robertson a further three questions to probe her when she claimed there was effectively no deadline for applications for the EEO job.
Mr Robertson later questioned what possible reason Ms Collins had to withhold the identity of the third person.
"Judith Collins needs to front up... the lack of transparency in this process is anti-democratic, and New Zealanders deserve far better," he said.