Variance-stabilizing transformation is a way for scientists to take data that has different levels of variance (which means it changes in size a lot or a little) and make it easier to compare. It's like if you have a set of different-sized jars that you want to compare side by side, but they won't fit if they're different sizes. The variance-stabilizing transformation is like making the jars the same size so you can put them side by side and compare them.