Chi Square Distribution

The chi-squared value follows the same principle. Chi-squared values increase as sample size increases, but the chance of getting a high chi-squared value decreases as the sample gets larger.please explain what it means. Refrence: https://app.dataquest.io/m/99/chi-squared-tests/7/sampling-distribution-equality

2 Likes

Yeah, that’s not very clear.

When drawing a small number of values from the chi-square distribution, you’ll see some high values and some low values just due to random chance. A histogram plot of the sample won’t really resemble the theoretical probability distribution.

However, if you continue drawing more values, then the histogram will more closely resemble the theoretical distribution. As you draw more values you will find that the number of “high” values increases, but the proportion of “high” values will match the theoretical distribution, i.e. the percentage of “high” values will decrease.

Does this make sense?

1 Like