Editing Mathematical proof (section)

===Statistical proof using data===
{{Main|Statistical proof}}
"Statistical proof" from data refers to the application of statistics, [[data analysis]], or [[Bayesian analysis]] to infer propositions regarding the [[probability]] of data. While ''using'' mathematical proof to establish theorems in statistics, it is usually not a mathematical proof in that the ''assumptions'' from which probability statements are derived require empirical evidence from outside mathematics to verify. In physics, in addition to statistical methods, "statistical proof" can refer to the specialized ''[[mathematical methods of physics]]'' applied to analyze data in a [[particle physics]] experiment or [[observational study]] in [[physical cosmology]]. "Statistical proof" may also refer to raw data or a convincing diagram involving data, such as [[scatter plot]]s, when the data or diagram is adequately convincing without further analysis.