diff options
author | sotech117 <26747948+sotech117@users.noreply.github.com> | 2024-03-11 15:44:42 -0400 |
---|---|---|
committer | GitHub <noreply@github.com> | 2024-03-11 15:44:42 -0400 |
commit | ec373fdb6a9056b6119cc4ef8f50e367de935226 (patch) | |
tree | 1dfde136bbf89797900c59136d7a8dfca33fa14b | |
parent | 0b4b0eea02dcb9d89bdc7338a71a7e91817aa62b (diff) |
Update README.md
-rw-r--r-- | README.md | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -14,7 +14,7 @@ Notice how the distribution of random speeds and enegeries frequency graph is no While the velocity for each dimension in our system (x, y, z) has a normal distribution, the sum of the squares of them results in this non-symmetic, non-normal frequncy map, the chi distribution (not squared yet). Now chi^2 relates the energies of the system (speed^2), which is directly proportional the generalized chaos in the system (entropy). -Chi^2 is used to test the null hypothesis of "no difference" between categorical variables in AB testing because it measures generalized, non-directional chaos among all dimensions of the system. If your distrubtions from the dimensions are similar, it should converge to be highly-chaotic & high-energy, as stated by the second law of thermodynamics. By contrast, if your underlying distrubtions create an immensely low-chaotic (i.e. low-energy state), then it's highly likely these underlying distrubtions are different. +Chi^2 is used to test the null hypothesis of "no difference" between categorical variables in AB testing because it measures generalized, non-directional chaos among all dimensions of the system - ideal for categorical variables. If your distrubtions from the dimensions are similar, it should converge to be highly-chaotic & high-energy, as stated by the second law of thermodynamics. By contrast, if your underlying distrubtions create an immensely low-chaotic (i.e. low-energy state), then it's highly likely these underlying distrubtions are different. Relating to AB testing, when you argue that, for chi^2, "if the p-value is less than 0.05, then the null hypothesis is rejected", you are saying that "if the probability of finding these distriubtions at an entropy this low and I found it (in your sampleA vs sampleB calculations), then it's highly unlinkely this state is a coincidence (violates the second law of thermodynamics) and the null hypothesis can be rejected (i.e. these distributions are not the same)." |