Difference between revisions of "Statistics"

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'''Statistics''' is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities. Statistics are also used for making informed decisions – and misused for other reasons – in all areas of business and government.
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'''Statistics''' is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities. Statistics are also used for making informed decisions in all areas of business and government.
  
Statistical methods can be used to summarize or describe a collection of data; this is called descriptive statistics. In addition, patterns in the data may be modeled in a way that accounts for randomness and uncertainty in the observations, and then used to draw inferences about the process or population being studied; this is called inferential statistics. Both descriptive and inferential statistics comprise applied statistics. There is also a discipline called mathematical statistics, which is concerned with the theoretical basis of the subject.
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Statistics analyzes data in two primary ways, the first is called [[descriptive statistics]] which describes and summarizes the data. Often this will include things like: [[mean | the mean]], [[standard error]], or [[standard deviation]]. Also statistics can attempt to infer relationships between the data collected and various hypothesis or populations, this is called [[inferential statistics]]. Both descriptive and inferential statistics comprise applied statistics. There is also a discipline called mathematical statistics, which is concerned with the theoretical basis of the subject.
  
 
The word statistics is also the plural of statistic (singular), which refers to the result of applying a statistical algorithm to a set of data, as in employment statistics, accident statistics, etc. Statistics takes its name from the fact that it was traditionally taught to monarchs to enable them to manage affairs of state.
 
The word statistics is also the plural of statistic (singular), which refers to the result of applying a statistical algorithm to a set of data, as in employment statistics, accident statistics, etc. Statistics takes its name from the fact that it was traditionally taught to monarchs to enable them to manage affairs of state.
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==Frequentest Approaches==
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===Descriptive statistics===
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===Inferential statistics===
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==Bayesian Approaches==
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===Descriptive statistics===
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===Inferential statistics===
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==Non-parametric and Bootstrapping methods==
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[[Category:mathematics]]
 
[[Category:mathematics]]
  
 
[[category:Probability and Statistics]]
 
[[category:Probability and Statistics]]

Revision as of 21:42, April 23, 2007

Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities. Statistics are also used for making informed decisions in all areas of business and government.

Statistics analyzes data in two primary ways, the first is called descriptive statistics which describes and summarizes the data. Often this will include things like: the mean, standard error, or standard deviation. Also statistics can attempt to infer relationships between the data collected and various hypothesis or populations, this is called inferential statistics. Both descriptive and inferential statistics comprise applied statistics. There is also a discipline called mathematical statistics, which is concerned with the theoretical basis of the subject.

The word statistics is also the plural of statistic (singular), which refers to the result of applying a statistical algorithm to a set of data, as in employment statistics, accident statistics, etc. Statistics takes its name from the fact that it was traditionally taught to monarchs to enable them to manage affairs of state.

Frequentest Approaches

Descriptive statistics

Inferential statistics

Bayesian Approaches

Descriptive statistics

Inferential statistics

Non-parametric and Bootstrapping methods