In theory yes, after a test, if the next bar attempts to rise strongly, but eventually closes poorly (near the low of the bar), albeit as an upbar, particularly if volume is fairly strong. It is considered a questionable response to the potential test, and may infer a secondary test may be required at best.
However, in the real world not so much, especially if the background of the chart (behind the test) infers strength, it will most likely be an absorption bar, clearing the way above, which will also have the dual use of flipping out short term and momentum traders.
The fact that price initially opened well and then pushed higher, suggests that the test was successful and did what was intended, and then drew out the expected response. So a quick push up into potential resistance, with a brief period of absorption, and then not support the stock any longer for the period, letting it fall back down towards the low, is a good way to find out how much supply is waiting above. (for instance, if this happens and the price is smashed by heavy supply when price rises, some further accumulation and absorption, with some shakeouts, in an attempt to remove the supply above maybe required before the mark up begins. However, if very little supply is drawn out as price rises, it may be the perfect time to give price a decent push)
However if price is about to be marked up, the less momentum traders it carries with it the better.
As they will sell into the rally at some time. Forcing the 'marker upper' to absorb (buy) their stock at a higher price, if the rally is going to be maintained. And buying more stock unnecessarily at a higher price is not 'good for business', so they flip out as many short term and momentum traders as possible, before it takes off, and along the way from time to time. That said, they know there will always be some traders along for the ride, and so they also have some strategies (gaps, news, media, greed) for keeping them in the stock (and not selling). As having them 'not sell' is almost as good as not having them at all.
And so it can be a advantage to push the stock up after the test, and see what the supply is like above, and then leave the stock unsupported briefly to ensure a poor close, and hopefully flip out the traders at the same time.
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And yes spot on, if the next bar again dips lower briefly, but then recovers and closes higher, there was probably another little shorter term test on a smaller timeframe, then an acceleration higher following it (this is very common, and happened this week on the XJO. There is usually a test of some sort on a larger timeframe, and the a brief test on a smaller time frame following it, and then a push higher. And what you see on the larger timeframe is a test, then a little overlap on the next bar before it eventually closes higher).
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As usual, in both cases, the next complete bar keeps confirming what the previous bar or bars are saying (and clusters of one type of bar, always win over a single bar, unless the single bar has massive volume). So keep building up the story as the chart unfolds, and if one bar doesn't quite seem to fit, just wait for the response to that bar and it may correct itself.