Difference between revisions of "Statistics"
Asymptosis (talk | contribs) (New page: Statistics is the science of experimental design and data analysis. People outside the disciplines of Probability and Statistics often confuse the two areas, but in fact th...) |
Armalite46 (talk | contribs) (reorganized page to highlight important overall form.) |
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− | + | ==General== | |
+ | Statistics is the distinct branch of mathematical science that deals with obtaining, analyzing, and drawing conclusions about a data set. "Applied statistics" is a subset of statistics that deals primarily with statistical analysis on information gathered from an experiment. Most data sets from statistics are from [[sample]]s from a much larger [[population]] size. ""Inferential statistics"" is used to draw inferences from the data after statistical procedures have been performed. Statistics is not to be confused with probability. | ||
+ | |||
+ | Data usually follows the [[normal distribution]], the [[Chi-Square distribution]], the [[Student's t-distribution]], or the [[F-distribution]]. | ||
+ | |||
+ | Statistics can also be misleading, as shown in the classic book ''How to Lie with Statistics'' by Darrell Huff. | ||
+ | |||
+ | ==Statistical Procedures== | ||
+ | Here is a list of common statistical procedures, used to analyze and draw conclusions on a given set of data. Some are dependent on whether the sample [[data]] set came from a population with known [[parameters]], like a [[normal distribution]], while others are [[non-parametric tests]] | ||
+ | |||
+ | * [[Student's t-test]] | ||
+ | * [[z-test]] | ||
+ | * [[Analysis of Variance test]] | ||
+ | * [[Mann-Whitney U-Test]] | ||
+ | * [[runs test for randomness]] | ||
+ | * [[Chi-Square Test]] | ||
+ | * [[z-test]] | ||
+ | * [[Kruskal-Wallis H-test]] | ||
+ | |||
+ | ==Significance== | ||
+ | The significance of a data set tells whether the data set or group is out of the ordinary(special/non-random). This is usually the main objective of statistics. | ||
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Revision as of 15:04, 5 August 2013
General
Statistics is the distinct branch of mathematical science that deals with obtaining, analyzing, and drawing conclusions about a data set. "Applied statistics" is a subset of statistics that deals primarily with statistical analysis on information gathered from an experiment. Most data sets from statistics are from samples from a much larger population size. ""Inferential statistics"" is used to draw inferences from the data after statistical procedures have been performed. Statistics is not to be confused with probability.
Data usually follows the normal distribution, the Chi-Square distribution, the Student's t-distribution, or the F-distribution.
Statistics can also be misleading, as shown in the classic book How to Lie with Statistics by Darrell Huff.
Statistical Procedures
Here is a list of common statistical procedures, used to analyze and draw conclusions on a given set of data. Some are dependent on whether the sample data set came from a population with known parameters, like a normal distribution, while others are non-parametric tests
- Student's t-test
- z-test
- Analysis of Variance test
- Mann-Whitney U-Test
- runs test for randomness
- Chi-Square Test
- z-test
- Kruskal-Wallis H-test
Significance
The significance of a data set tells whether the data set or group is out of the ordinary(special/non-random). This is usually the main objective of statistics.
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