Minimum chi-square estimation

Minimum chi-square estimation is a way to use the data we have collected to figure out the best values for the parameters we want to measure. When we collect data, it has some errors - that means that the answers are not exactly right. We use the minimum chi-square estimation to find the combination of parameters that explains the data best, while taking into account the errors. To do this, we compare the data with what we expect to find if we make different guesses for our parameters. We then look for the combination of parameters that gives us the smallest amount of error compared to what we expect. That combination of parameters is our minimum chi-square estimate.