"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 plots, when the data or diagram is adequately convincing without further analysis.

Colloquial use of "mathematical proof"
Statistical proof using data
সম্পর্কিত বিষয়সমূহ
Inductive logic proofs and Bayesian analysis