Late to the party but feel that I need to speak....
Way back in the early days of digital compact cameras I finally had one that had PASM on the dial, so decided that it was time to get into serious testing to see what effect the camera's 1/2.3" sensor had on the slowest recommended shutter speeds.
Despite it being a tiny camera, standing hand-held and with a fixed rear screen I found that the old (modified) rule of 1/(FF equivalent focal length) was exactly true.
With IBIS on the results were different of course and in that early camera (Casio EX-V8) I could only count on about 2 stops of improvement with IBIS on.
With no IBIS the results were scattered and more difficult to find the "knee" and with IBIS on the results were more reliable and readily showed the knee where the shake spoiled the images.
Other tests on later cameras I always used 10 shots per shutter speed but in this early attempt I was making do with 5 per speed.
Below for interest (if anyone is actually interested) is the text from my web page from many years back. My web pages long gone, can be found in web archives.
....................my old page.................................
Extracted from the DPReview pages are these notes on anti-shake tests that I did some time back.
The test was to keep taking 5 shots at each shutter speed with anti-shake on and then off to try and determine the advantage and reliability of the [Casio] V8 anti-shake. Then closely examine the results full screen and accept or reject the image based on the fact that it may be printed to 4"x6" size or a little larger. There's no hard and fast reject or accept borderline, it is a bit of personal fuzzy logic applied when looking at images to judge the quality. When I first see 5 out of 5 acceptable then I call that the low shutter speed limit for that situation.
Here's the anti-shake ON test at 44.1mm (=266mm) Tested on overcast day to get the shutter speeds needed.
1/8 sec 1 shot out of 5 is acceptable
1/10 sec 1 shot out of 5 is acceptable
1/20 sec 2 shots out of 5 are acceptable
1/25 sec 2 shots out of 5 are acceptable
1/30 sec 3 shots out of 5 are acceptable
1/40 sec 3 shots out of 5 are acceptable
1/50 sec 3 shots out of 5 are acceptable
1/60 sec 4 shots out of 5 are acceptable
1/80 sec 4 shots out of 5 are acceptable (underexpose)
1/100 sec 5 shots out of 5 are acceptable (underexpose)
Number 2, here's the anti-shake OFF test at 44.1mm (= 266mm) Tested on sunny day to get the shutter speeds needed.
1/30 sec 0 shots out of 5 are acceptable
1/40 sec 2 shots out of 5 are acceptable
1/50 sec 2 shots out of 5 are acceptable
1/60 sec 1 shot out of 5 is acceptable
1/80 sec 3 shots out of 5 are acceptable
1/100 sec 3 shots out of 5 are acceptable, repeated 3 of 5
1/125 sec 3 shots out of 5 are acceptable, repeated 3 of 5
1/160 sec 4 shots out of 5 are acceptable, repeated 4 of 5
1/200 sec 4 shots out of 5 are acceptable, repeated 4 of 5
1/250 sec 4 shots out of 5 are acceptable, repeated 4 of 5
1/320 sec 5 shots out of 5 are acceptable, repeated 4 of 5, repeated 5 of 5
1/400 sec 5 shots out of 5 are acceptable
1/500 sec 5 shots out of 5 are acceptable
1/640 sec 5 shots out of 5 are acceptable
1/800 sec 5 shots out of 5 are acceptable
The repeats are when I retested at a closer distance of about 5 metres instead of 10 metres, and also to test consistency.
The anti-shake OFF tests are way more scattered because human body shake is way more scattered. The anti-shake on tests were less scattered because the anti-shake is working but has limits. It's strange that I got the same results when repeating the 1/100 to 1/320 results, but judging quality is at times a bit of a "how long is a piece of string" type question. The varying 1/320 result reassured me that things were working.
So that's my results, the next person who does that test may be completely different.
Conclusions with the [Casio] V8 anti shake.........
#1. It does work.
#2. Improvement for reliable shots at max tele seems to be from 1/320 without anti-shake to 1/100 with anti-shake. About 3 times the shutter speed improvement.
#3. The old rule for avoiding shake to use the shutter speed to match the 35mm equivalent of lens focal length seems to hold true when anti-shake is off. That is, for 266mm equivalent try and make sure you use 1/266 sec or faster. Maybe divide by three for anti-shake on. But I would still take multiple shots under borderline situations.
#4. Always turn off camera anti-shake for tripod use. Some simple tests with maximum tele on a tripod and using 2 second delay showed me that anti-shake on almost always caused shake in the image. With anti-shake off then the images were always sharp. [
Note: Later IBIS such as on my M4/3 gear didn't matter if on or off when on a tripod.]
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Aha! Later. The miracles of search, found the 2008 DPR post which says much the same as above https://www.dpreview.com/forums/post/26671386