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The topics below are usually included in the area of interpreting statistical data. A more formal name for this topic is statistical inference.

planning statistical research -- summarizing statistical data

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Statistical inference is inference about a population from a random sample drawn from it or, more generally, about a random process from its observed behavior during a finite period of time. It includes:

point estimation
interval estimation
hypothesis testing (or significance testing)
prediction

There are several distinct schools of thought about the justification of statistical inference. All are based on some idea of what real world phenomena can be reasonably modeled as probability.

frequency probability
personal probability
Bayesian probabilityBayesianism is the philosophical tenet that the mathematical theory of probability applies to the degree of plausibility of statements, or to the degree of belief of rational agents in the truth of statements; when used with Bayes theorem, it then becomes
eclectic probabilityMany statisticians adopt an eclectic view of the debate between proponents of the frequency interpretation of probability and proponents of personal probability. These eclectics say in essence, "if it walks like a duck. They are willing to consider any ph

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Topics: Statistical Inference, Statistical Regularity, Statistical Model...

Statistical regularityStatistical regularity is a notion in statistics that if we throw a thumbtack onto a table once, we would have a hard time predicting whether the point would touch the surface of the table or not. But if we repeat this experiment many times, we will see t	Statistical modelA statistical model is used in applied statistics. Three basic notions are sufficient to describe all statistical models. We choose a statistical unit which we will observe directly. Multiple observations of the same unit over time is called longitudinal	Statistical inferenceThe topics below are usually included in the area of interpreting statistical data . A more formal name for this topic is statistical inference . Statistical assumptions # Likelihood principle # Estimating parameters # Testing statistical hypotheses # Rev
Statistical theoryThe theory of statistics includes a number of topics: Statistical models of the sources of data and typical problem formulation: # Sampling from a finite population #Measuring observational error and refining procedures #Studying statistical relations Pla	Statistical unitIn different statistical disciplines, the statistical unit is the source of a random variable. There are different ways to study a unit and different names applied #We may be interested in a unit because we intend to generalize from observations on a few	Statistical assemblyA statistical assembly is a study of the relationships among the components in a statistical unit that is made of discrete components like organs or machine parts. Much of the observation for statistical assembly requires special preparation of the unit,
Statistical population	Statistical sample	Statistical dispersion
Statistical assumptions	Statistical independence	Statistical mechanics
Statistical physics	Statistical hypothesis testing	Statistical probability

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