Statistics is a Mathematical Science pertaining to the Collection, Analysis, Interpretation or Explanation and Presentation of Data. It also provides tools for Prediction and Forecasting based on data. It is applicable to a wide variety of Academic Disciplines, from the Natural and Social Sciences to the Humanities, Government and Business.
"As a Mathematical Foundation for Statistics, Probability Theory is essential to many Human Activities that involve Quantitative Analysis of large sets of data. Methods of Probability Theory also apply to Descriptions of complex systems given only Partial Knowledge of their State, as in Statistical Mechanics. A Great Discovery of twentieth century Physics was the Probabilistic Nature of Physical Phenomena at Atomic Scales, described in Quantum Mechanics". Reference:Wikipedia
A common goal of a Statistical Research Project is to Investigating Causality and in particular to draw a Conclusion on the effect of changes in the values of Predictors or Independent Variables on Dependent Variables or response. There are two major types of Causal Statistical Studies: Experimental Studies and Observational Studies. In both types of Studies, the effect of differences of an Independent Variable (or Variables) on the Behavior of the Dependent Variable are Observed. The difference between the two types lies in how the study is actually conducted. Each can be very effective. For more detailed Explanation please explore our Free Statistics and Probability Theory Resources.
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