Conductivity is of course electron flow relative to some standard. The most obvious standard will be the electronegativity of the elements, type of bonding (which you have already specified), and thermal conductivity factors.
You may get a simple answer by the topic is probably not so simple. The more relevant information you can get, the better your analysis will be. There are quite a few educational sites designed by professors for their students to review.
Check out these sites and see if you can get more insight by absorbing more relevant information and explanation of the factors involved. I searched for "conductivity and electronegativity" and "ionic compounds and conductivity" and found the sites below among others:
http://www.seas.upenn.edu/~chem101/sschem/conduction.html
http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/bond.html
http://antoine.frostburg.edu/chem/senese/101/compounds/faq/properties-ionic-vs-covalent.shtml
Or you can do things the hard way and go to Wikipedia:
http://en.wikipedia.org/wiki/Electrical_conductor
Wikipedia is not peer reviewed in many if not all cases, and unless you already know something about the subject you are seeking, it is easy to become lost or misled.