Statistics Topics

Arithmetic Mean
The arithmetic mean of n numbers is the sum of the numbers divided by n.
Autocovariance
This is the degree to which a function is correlated with itself as a function of time.
Average Deviation
The absolute value of the difference from the mean for each data value, summed, then divided by the number of values.
Continuous Data
The values belonging to it may take on any value within a finite or infinite interval.
Covariance
A measure of the joint variability of a pair of numeric variables.
Data
A series of facts or statements that may have been collected, stored, processed or manipulated but have not been organized.
Data Mining
Using automated data anlysis techniques to find themes or relationships.
Data Processing
The execution of a systematic sequence of operations performed upon data. Synonymous with information processing.
Distribution
A probability function which describes the relative frequency of occurrence of data values when sampled from a population.
Frequency Distribution
An organized display of a set of data that shows how often each different piece of data occurs.
Gaussian Distribution
A continuous probability distribution that often gives a good description of data that cluster around the mean.
Geometric Mean
A statistic calculated by multiplying n data values together and taking the n-th root of the result.
Harmonic Mean
The harmonic mean of two numbers a and b is 2ab/(a + b).
Mean
The sum of all values in the data, divided by the number of values.
Mean Time to Failure
The measured operating time of a system or component divided by the number of failures that occurred during that time.
Mode
The most frequently occurring value in a sequence of numbers.
Multimodal Distribution
A distribution with more than one mode.
Normal Distribution
A continuous probability distribution that often gives a good description of data that cluster around the mean. Also known as Gaussian Distributon or Bell Curve.
Ordinal Data
A set of data is said to be ordinal if the values belonging to it can be put in order or have a rating scale attached.
Pareto Distribution
A distribution used for random variables which are constrained to be greater or equal to 0.
Rayleigh Distribution
An example is the variation of wave height in a sea where swell is the main component.
Relative Standard Deviation
A measure of precision, calculated by dividing the standard deviation for a series of measurements by the average measurement.
Standard Deviation
Standard deviation is the square root of the variance.
Standard Error
The standard deviation divided by the square root of the number of data values.
Standard Normal Distribution
A normal distribution with a mean equal to 0 and a standard deviation equal to 1
Statistic
Anything that can be calculated from a sample of data.
Statistical Model
A statistical model is used to describe the relationship between a dependent variable Y and one or more independent variables.
Statistics Books
Lists all Statistics Books in the Encyclopaedia
Statistics Calculations
Lists all Statistics Calculations in the Encyclopaedia
Statistics Conversions
Lists all Statistics Conversions in the Encyclopaedia
Statistics Weblinks
Lists all Statistics Weblinks in the Encyclopaedia
Student′s t Distribution
A probability distribution which is very similar in shape to the standard normal distribution.
Summary Statistics
A single number representation of the characteristics of a set of data. Usually given by measures of central tendency and measures of dispersion.
Variance
The square of the difference from the mean for each data value, summed and divided by one less than the number of values.
Weibull Distribution
A distribution used for random variables which are constrained to be greater or equal to 0.

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Subjects: Mathematics