This question was posed in Psychology.SE Meta and I followed the accepted answer with another question about referencing formats (APA as opposed to others).
Referencing styles (using superscript numbers or other inline citations) are down to personal preference in my view. The main point to me is that the reference list needs to be clear.
I think that as long as the reference contains the Author (or movie director) and the year of publication at the front, any referencing format is suitable as long as it contains all the information needed to find the article, book etc. This way, the reference will be easier to pick out, especially when there are multiple references containing the same leading author.
With the fact that formats such as MLA, Chicago, Vancouver and IEEE are very different, MLA, Chicago and Vancouver formats can be very hard to pick out when looking for specific references in comparison to Harvard and APA.
If following a similar format to IEEE, for example
 J. U. Duncombe, "Infrared navigation - Part I: An assessment of feasability," IEEE Trans. Electron. Devices, vol. ED-11, pp. 34-39, Jan. 1959.
even though the  will be within the main body of the posting with or without a
<sup>), the author and year of publication should still be at the front changing the IEEE reference above to
 J. U. Duncombe (1959) "Infrared navigation - Part I: An assessment of feasability," IEEE Trans. Electron. Devices, vol. ED-11, pp. 34-39
This way, because author and year is together, the reference will be more easily picked out in the list.
Be careful with this formatting though
As you will see if you was to click edit at the bottom of this answer, you will have to "escape" the square bracket at the beginning if you have links within the posting which are not inline links i.e. you would need to type
\ instead of
I would suggest that if using this format, you should always escape the first square bracket to prevent issues.
As pointed out by @FranckDernoncourt within the answers here, there is an inherent problem with answers on the site having links which go dead because either the page was moved or it was deleted by the website owner.
Where a link is provided, where possible, rather than a direct link to the article, it is preferable to provide one or more of the following:
Lewis M. J. & Phillips J. E. (2012). Older people's cardiac responses as indicators of stress in familiar and unfamiliar environments. Psychophysiology, 49(4): pp. 478-483
DOI: 10.1111/j.1469-8986.2011.01321.x PMID: 22176515
with the link for DOI number 10.1111/j.1469-8986.2011.01321.x becoming
PMCIDs, PMIDs and DOIs are generally updated if the website owner moves the document within their website.