I've never had good results with EIS especially in dim lit situations. Below is from http://voices.yahoo.com/the-difference-between-optical-image-stabilization-2662013.html
Optical Image Stabilization
Originally developed by Canon and used in both camcorders and digital cameras, optical image stabilization (OIS) is a feature that is built into the lens of the camcorder, and it effectively minimizes vibrations and shakiness while filming. The OIS feature is built into the lens of the camcorder rather than the camcorder itself, and it effectively reduces camcorder-shake without sacrificing video quality. It's effective in low-light or brightly-lit conditions, and it's an especially useful feature if you plan to shoot lots of long-range video.
Advantages:
Reduces shaky, jittery video without sacrificing video quality
Works well in low-light
Great for long-range shooting
Disadvantages:
Camcorders with OIS are typically bigger and heavier in size
OIS is a more expensive technology than EIS
Battery power drains quicker with this feature
Electronic Image Stabilization
Electronic image stabilization (EIS) differs from OIS in how it works to steady the camcorder video, but it basically serves the same purpose - reducing camcorder-shake. Camcorders with the EIS feature use a complicated algorithm to compare one frame's contrast and pixel location to the next frame. If there is a major discrepancy between the two frames, the camcorder will automatically compensate for the difference and ultimately reduce the amount of camcorder-shake in the video. EIS works well in most cases, but it varies in effectiveness depending upon the camcorder model and manufacturer.
Advantages:
EIS camcorders are usually more affordable than OIS models
Camcorder with built-in EIS are often times smaller and lighter than OIS models
If you film in brightly-lit areas, EIS works almost as effectively as OIS
Disadvantages:
EIS isn't always 100% accurate, so it may affect the video quality
Works poorly in dimly-lit areas (i.e., concerts, night shooting, indoors)
Doesn't work as well as OIS when at full-zoom (especially when using digital zoom)
What write up calls EIS, is normally revered to as software image stabilization, or SIS. EIS is done in different ways but one common method is yo have the sensor able to move on an XY plane and follow the axis electronically. The success with this method, so far, has been limited.