Definition:Inductive Statistics

Definition

Inductive statistics is the phase of statistics which is concerned with the conditions under which conclusions about populations can be drawn from analysis of particular samples.

The inferences drawn by inductive statistics are generally couched in the language of probability theory.

Also known as

Inductive statistics is also known as statistical inference, or inferential statistics.

Also see

• Definition:Descriptive Statistics

• Definition:Bayesian Inference
• Definition:Confidence Interval
• Definition:Decision Theory
• Definition:Estimation
• Definition:Fiducial Inference
• Definition:Hypothesis Testing
• Definition:Inference
• Definition:Sequential Analysis

• Results about inductive statistics can be found here.

Sources

• 1963: Alexander M. Mood and Franklin A. Graybill: Introduction to the Theory of Statistics (2nd ed.) ... (previous) ... (next): Chapter $1$: Introduction: $1.1$. Statistics
• 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Variables and Graphs: Population and Sample. Descriptive and Inductive Statistics
• 1974: H.T. Hayslett, MS: Statistics Made Simple (3rd ed.) ... (previous) ... (next): Chapter $\text {I}$: What is Statistics? Two Kinds of Statistics
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inference: 3.
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): statistics: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inference: 3.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): statistics: 2.

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