K-means cluster analysis, Advanced Statistics

Assignment Help:

K-means cluster analysis is the method of cluster analysis in which from an initial partition of observations into K clusters, each observation in turn is analysed and reassigned, if suitable, to a different cluster in an attempt to optimize some predefined numerical criterion that measures in some sense the 'quality' of cluster solution. Several such clustering criteria have been suggested, but the most usually used arise from considering the features of the within groups, between groups and whole matrices of sums of squares and the cross products (W, B, T) which can be described for every partition of the observations into the particular number of groups. The two most ordinary of the clustering criteria developing from these matrices are given as follows

minimization of trace W

minimization of determinant W

The first of these has tendency to produce the 'spherical' clusters, the second to produce clusters that all have same shape, though this will not necessarily be spherical in shape. 

 


Related Discussions:- K-means cluster analysis

Quantitative Analysis for Management Chapter 4, 4-13. Students in a manage...

4-13. Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previou

Conditional probability, Conditional probability : The probability that an ...

Conditional probability : The probability that an event occurs given the outcome of other event. Generally written, Pr(A|B). For instance, the probability of a person being color b

Explain yate s'' continuity correction, Yate s' continuity correction : Whe...

Yate s' continuity correction : When the testing for independence in contingency table, a continuous probability distribution, known as chi-squared distribution, is used as the app

Hill-climbing algorithm, Hill-climbing algorithm is  an algorithm which is ...

Hill-climbing algorithm is  an algorithm which is made in use in those techniques of cluster analysis which seek to find the partition of n individuals into g clusters by optimizin

Per-experiment error rate, Per-experiment error rate is the possibility of...

Per-experiment error rate is the possibility of the incorrectly rejecting at least one null hypothesis or assumption in the experiment including one or more tests or comparisons,

Group divisible design, Group visible design is an arrangement of the v mn ...

Group visible design is an arrangement of the v mn treatments in b blocks such that: * Each block comprises k distinct treatments k5v; * Each treatment is replicated r number

Evaluate the maximum flow, In the network shown below, the rst of the two ...

In the network shown below, the rst of the two numbers on each arc indicates the arc capacity and the second (in parentheses) of the two numbers indicates the current  flow. Use t

Extreme values, The biggest and smallest variate values among the sample of...

The biggest and smallest variate values among the sample of observations. Significant in various regions, for instance flood levels of the river, speed of wind and snowfall.

Whats the answers?, #ques12. There is some evidence that REM sleep, associa...

#ques12. There is some evidence that REM sleep, associated with dreaming, may also play a role in learning and memory processing. For example, Smith and Lapp (1991) found increased

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd