ELI5: Explain Like I'm 5

SSMD

SSMD stands for Standardized Effect Size Mean Difference. It is a way to compare two groups of data and figure out if they are actually different, or if the difference between them is just due to chance. It is like comparing two piles of toys to see which one has more.

Let's pretend you have two piles of toys. One pile has 10 toys and the other pile has 15 toys. You want to know if the second pile really has more toys or if it's just by chance.

To figure this out, you can use SSMD. First, you need to find the average number of toys in each pile. The average of the first pile is 10/1 = 10. The average of the second pile is 15/1 = 15.

Then, you calculate the standard deviation, which is like measuring how much the numbers vary within a group. This tells you how much the numbers differ from each other.

Next, you use a formula to calculate the SSMD, which combines the average and standard deviation of each pile. If the SSMD is greater than 1, it means that the two groups are very different. If it's less than 1, it means that the difference could just be due to chance.

So, in our toy example, the SSMD would be 5/(variance of pile 1 + variance of pile 2) = 5/((0+0)/2) = 5/0. Since you can't divide by 0, this means the SSMD is undefined, and we would need more data to figure out if there is a real difference between the two piles of toys.

Overall, SSMD is a way to measure the difference between two groups in a standardized way, so researchers can confidently say whether the difference is real or just a result of chance.