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Chapter 5: Exploratory Data Analysis                            141








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                                          2                                           3
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                                                      −2         −2  −1
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                              FI F U URE G 5.2  RE 5.2 1  1
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                                  5.2
                              This is a 3-D contour plot of the peaks function.
                             Finally, a 3-D contour plot is easily obtained using the contour3 function as
                             shown below. The resulting contour plot is shown in Figure 5.21.

                                % Create a 3-D contour plot.
                                contour3(x,y,z,15)





                                     HistoHisto
                             Biva
                                           raamm
                                     g
                             Biv
                                riat iate
                               ar
                                   ee
                             BivBiv  aarr iatiat  eHistoHisto  gr ggrr aamm
                             In the last section, we described the univariate density histogram as a way of
                             viewing how our data are distributed over the range of the data. We can
                             extend this to any number of dimensions over a partition of the space [Scott,
                             1992]. However, in this section we restrict our attention to the bivariate histo-
                             gram given by
                                                   ˆ       ν k
                                                   f x() =  --------------  x  in  B  ,     (5.7)
                                                                        k
                                                         nh 1 h 2
                                      represents the number of observations falling into the bivariate bin
                             where ν k
                                                                     coordinate axis. Example 5.14
                             B k   and  h i   is the width of the bin for the  x i
                             shows how to get the bivariate density histogram in MATLAB.

                            © 2002 by Chapman & Hall/CRC
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