How can I simulate a click event in my AngularJS directive test?

You can use triggerHandler, part of JQLite.

I used this to trigger a click event on a directive…

element = angular.element("<div myDirective-on='click'></div>");
compiled = $compile(element)($rootScope);
compiled.triggerHandler('click');

Full example available on this blog post:
http://sravi-kiran.blogspot.co.nz/2013/12/TriggeringEventsInAngularJsDirectiveTests.html