Design effect is like using a magnifying glass to look at a bug. When we want to know how many bugs there are in a big garden, we cannot count every single one of them because that would take too much time and effort. Instead, we can choose a small area and count the bugs there, and then use the number of bugs we found to guess how many bugs there are in the whole garden.
But sometimes, our guess might not be very accurate because the small area we chose might not be representative of the whole garden. For example, if we chose an area where there are a lot of flowers, we might count more bugs than if we chose an area where there are no flowers.
Design effect is a way to measure how much our guess might be off because of our choice of the small area. It takes into account things that might affect our guess, such as how big the small area is and whether the bugs are evenly distributed or clumped together. The design effect tells us how much larger our sample size should be to get a more accurate guess.
In short, design effect is like a tool that helps us make better guesses by taking into account how we chose our sample.