Information Linkage Between Applied Mathematics and Industry by Peter Wang (Eds.)
By Peter Wang (Eds.)
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Extra resources for Information Linkage Between Applied Mathematics and Industry
A second disadvantage is that a new chapter on the use of faces to deceive could be added to Darre11 Statistics. (5) The faces can be abused. Huff's Chernoff How to Lie With However, if we refused to use any technique which can be misused, there would be little left. A more serious problem with the Chernoff faces is that dependencies among facial features may distort enough to cause erroneous impressions. this topic more completely. In the built-in the data Section It should be noted 5, that representation I even facial features are independent, there is no guarantee, in rather unlikely, that the total face will be viewed a as will discuss if all the fact it is union of 20 different, independent variables.
12. Dimensionality. The methods described in the preceeding section were designed for multi dimensional data. Superficially it seems that the profile is extremely limited in the number of dimensions that can be handled effectively with it. I would esti mate that in increasing order of ability are the Andrews Fourier Series, stars and faces. Each of these can be improved. The Andrews method, modified to wrap around a circle should improve its ability. The use of an inner and outer star should help the stars.
Quantitative Graphics in Statis tics: A Brief History," American Statistician, 32:1. Brinton, W. C. (1923). Graphic Methods for Presenting Facts, The Engineering Magazine Company, New York. Chernoff, Herman (1973). "Using Faces to Represent Points in K-dimensional Space Graphically," Journal of the American Statistical Association, 68:361. Chernoff, Herman and Rizvi, M . Haseeb (1975). "Effect on Classification Error of Random Permutations of Features in Representing Multivariate Data by Faces," Journal of the American Statistical Association, 70:548.