Search results
Results from the WOW.Com Content Network
In mathematics, random groups are certain groups obtained by a probabilistic construction. They were introduced by Misha Gromov to answer questions such as "What does a typical group look like?" It so happens that, once a precise definition is given, random groups satisfy some properties with very high probability, whereas other properties fail ...
R group may refer to: In chemistry: Pendant group or side group; Side chain; Substituent; In mathematics: Tempered representation ... Statistics; Cookie statement;
Yet another example of grouping the data is the use of some commonly used numerical values, which are in fact "names" we assign to the categories. For example, let us look at the age distribution of the students in a class. The students may be 10 years old, 11 years old or 12 years old. These are the age groups, 10, 11, and 12.
Finally, if we impose both restrictions, then we get the special orthogonal group SO n (R) or SO(n, R), which consists of rotations only. These groups are our first examples of infinite non-abelian groups. They are also happen to be Lie groups. In fact, most of the important Lie groups (but not all) can be expressed as matrix groups.
Early work on statistical classification was undertaken by Fisher, [1] [2] in the context of two-group problems, leading to Fisher's linear discriminant function as the rule for assigning a group to a new observation. [3] This early work assumed that data-values within each of the two groups had a multivariate normal distribution.
R is a programming language for statistical computing and data visualization. It has been adopted in the fields of data mining, bioinformatics and data analysis. [9] The core R language is augmented by a large number of extension packages, containing reusable code, documentation, and sample data. R software is open-source and free software.
Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences between groups. It uses F-test by comparing variance between groups and taking noise , or assumed normal distribution of group, into consideration by ...
In this case the null hypothesis being tested is H 0: a r = a f and b r = b f. First, a 2 x 2 covariance matrix of the parameter estimates is calculated for each group which are represented by S r and S f for the reference and focal groups. These covariance matrices are computed by inverting the obtained information matrices.