BEproff ● 20220220 20:07 (397 d 23:08 ago) Posting: # 22798 Views: 1,265 

Hi All, One very general question that may be a little bit out of topic Let's say I have randomly generated set of 1 million values. What criterion should be used to check if the set has normal distribution? 
Helmut ★★★ Vienna, Austria, 20220220 23:59 (397 d 19:16 ago) @ BEproff Posting: # 22799 Views: 1,037 

Hi BEproff, ❝ Let's say I have randomly generated set of 1 million values. Before we apply a statistical method, we have to understand the data generating process. Therefore: How did you generate your data set? Obtained from RANDOM.ORG ? With a hardware random number generator? Software? If yes, which PRNG? In the last case, most software (even Excel since 2010) implement the Mersenne Twister, which is with its period of ≈4.3×10^{6,001} fine for generating large data sets. However, in VBA still an LCG is implemented, which is bad for large data sets due to its shorter period.❝ What criterion should be used to check if the set has normal distribution? Look at the histogram first.
If in doubt, overlay it with a kernel density estimate.
— Diftor heh smusma 🖖🏼 Довге життя Україна! _{} Helmut Schütz The quality of responses received is directly proportional to the quality of the question asked. 🚮 Science Quotes 
BEproff ● 20220221 15:42 (397 d 03:33 ago) @ Helmut Posting: # 22800 Views: 946 

Привет Helmut, Many thanks for clarification 
Helmut ★★★ Vienna, Austria, 20220222 16:11 (396 d 03:03 ago) @ BEproff Posting: # 22801 Views: 938 

Hi BEproff, ❝ Many thanks for clarification Welcome.
See also there for further information. — Diftor heh smusma 🖖🏼 Довге життя Україна! _{} Helmut Schütz The quality of responses received is directly proportional to the quality of the question asked. 🚮 Science Quotes 
Obinoscopy ★ USA, 20220227 19:49 (390 d 23:26 ago) @ BEproff Posting: # 22811 Views: 825 

❝ Let's say I have randomly generated set of 1 million values. ❝ ❝ What criterion should be used to check if the set has normal distribution? I don't think a randomly generated set of numbers would have a normal distribution. Every number should have an equal chance of been selected so I would say it should look more like a uniform distribution. But that is just my thinking.... — Scopy 