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1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik |
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2 ## |
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3 ## This program is free software; you can redistribute it and/or modify |
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4 ## it under the terms of the GNU General Public License as published by |
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5 ## the Free Software Foundation; either version 2, or (at your option) |
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6 ## any later version. |
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7 ## |
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8 ## This program is distributed in the hope that it will be useful, but |
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9 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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11 ## General Public License for more details. |
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12 ## |
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13 ## You should have received a copy of the GNU General Public License |
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14 ## along with this file. If not, write to the Free Software Foundation, |
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15 ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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16 |
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17 ## usage: mean (x [, opt]) |
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18 ## |
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19 ## For vector arguments, return the mean the values. |
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20 ## For matrix arguments, return a row vector containing the mean for |
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21 ## each column. |
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22 ## |
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23 ## With the optional argument opt, the kind of mean computed can be |
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24 ## selected. |
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25 ## If opt is "a", the (ordinary) arithmetic mean is computed. This |
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26 ## is the default. |
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27 ## If opt is "g", the geometric mean is computed. |
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28 ## If opt is "h", the harmonic mean is computed. |
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29 |
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30 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at> |
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31 ## Description: Compute arithmetic, geometric, and harmonic mean |
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32 |
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33 function y = mean (x, opt) |
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34 |
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35 if ((nargin < 1) || (nargin > 2)) |
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36 usage ("mean (x [, opt])"); |
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37 endif |
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38 |
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39 if isempty (x) |
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40 error ("mean: x must not be empty"); |
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41 endif |
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42 |
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43 if (rows (x) == 1) |
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44 x = x.'; |
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45 endif |
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46 |
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47 if (nargin == 1) |
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48 opt = "a"; |
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49 endif |
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50 |
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51 [r, c] = size (x); |
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52 |
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53 if (strcmp (opt, "a")) |
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54 y = sum (x) / r; |
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55 elseif (strcmp (opt, "g")) |
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56 y = NaN * ones (1, c); |
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57 i = find (all (x > 0)); |
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58 if any (i) |
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59 y(i) = exp (sum (log (x(:, i))) / r); |
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60 endif |
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61 elseif (strcmp (opt, "h")) |
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62 y = NaN * ones (1, c); |
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63 i = find (all (x != 0)); |
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64 if any (i) |
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65 y(i) = r ./ sum (1 ./ x(:, i)); |
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66 endif |
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67 else |
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68 error (sprintf ("mean: option `%s' not recognized", opt)); |
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69 endif |
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70 |
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71 endfunction |