octave-nkf: scripts/statistics/base/quantile.m annotate

annotate scripts/statistics/base/quantile.m @ 19867:9fc020886ae9

maint: Clean up m-files to follow Octave coding conventions. Try to trim long lines to < 80 chars. Use '##' for single line comments. Use '(...)' around tests for if/elseif/switch/while. Abut cell indexing operator '{' next to variable. Abut array indexing operator '(' next to variable. Use space between negation operator '!' and following expression. Use two newlines between endfunction and start of %!test or %!demo code. Remove unnecessary parens grouping between short-circuit operators. Remove stray extra spaces (typos) between variables and assignment operators. Remove stray extra spaces from ends of lines.

author	Rik <rik@octave.org>
date	Mon, 23 Feb 2015 14:54:39 -0800
parents	4197fc428c7d
children	45759620a9a5

rev	line source
19731 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 19074 diff changeset	1 ## Copyright (C) 2008-2015 Ben Abbott and Jaroslav Hajek
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	3 ## This file is part of Octave.
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	4 ##
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	5 ## Octave is free software; you can redistribute it and/or modify it
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	6 ## under the terms of the GNU General Public License as published by
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	7 ## the Free Software Foundation; either version 3 of the License, or (at
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	8 ## your option) any later version.
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	9 ##
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	10 ## Octave is distributed in the hope that it will be useful, but
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	13 ## General Public License for more details.
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	14 ##
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	15 ## You should have received a copy of the GNU General Public License
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	16 ## along with Octave; see the file COPYING. If not, see
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	17 ## <http://www.gnu.org/licenses/>.
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	18
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	19 ## -- texinfo --
14740 c827d74a643b doc: Add additional calling form of quantile() to docstring. Rik <octave@nomad.inbox5.com> parents: 14373 diff changeset	20 ## @deftypefn {Function File} {@var{q} =} quantile (@var{x})
c827d74a643b doc: Add additional calling form of quantile() to docstring. Rik <octave@nomad.inbox5.com> parents: 14373 diff changeset	21 ## @deftypefnx {Function File} {@var{q} =} quantile (@var{x}, @var{p})
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	22 ## @deftypefnx {Function File} {@var{q} =} quantile (@var{x}, @var{p}, @var{dim})
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 8506 diff changeset	23 ## @deftypefnx {Function File} {@var{q} =} quantile (@var{x}, @var{p}, @var{dim}, @var{method})
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	24 ## For a sample, @var{x}, calculate the quantiles, @var{q}, corresponding to
10793 be55736a0783 Grammarcheck the documentation from m-files. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	25 ## the cumulative probability values in @var{p}. All non-numeric values (NaNs)
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	26 ## of @var{x} are ignored.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	27 ##
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	28 ## If @var{x} is a matrix, compute the quantiles for each column and
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	29 ## return them in a matrix, such that the i-th row of @var{q} contains
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	30 ## the @var{p}(i)th quantiles of each column of @var{x}.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	31 ##
14740 c827d74a643b doc: Add additional calling form of quantile() to docstring. Rik <octave@nomad.inbox5.com> parents: 14373 diff changeset	32 ## If @var{p} is unspecified, return the quantiles for
c827d74a643b doc: Add additional calling form of quantile() to docstring. Rik <octave@nomad.inbox5.com> parents: 14373 diff changeset	33 ## @code{[0.00 0.25 0.50 0.75 1.00]}.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	34 ## The optional argument @var{dim} determines the dimension along which
18204 b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	35 ## the quantiles are calculated. If @var{dim} is omitted it defaults to
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	36 ## the first non-singleton dimension.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	37 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	38 ## The methods available to calculate sample quantiles are the nine methods
16792 b157ba28f123 doc: Use Texinfo @url command consistently throughout documentation. Rik <rik@octave.org> parents: 16766 diff changeset	39 ## used by R (@url{http://www.r-project.org/}). The default value is
b157ba28f123 doc: Use Texinfo @url command consistently throughout documentation. Rik <rik@octave.org> parents: 16766 diff changeset	40 ## @w{METHOD = 5}.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	41 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	42 ## Discontinuous sample quantile methods 1, 2, and 3
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	43 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	44 ## @enumerate 1
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	45 ## @item Method 1: Inverse of empirical distribution function.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	46 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	47 ## @item Method 2: Similar to method 1 but with averaging at discontinuities.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	48 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	49 ## @item Method 3: SAS definition: nearest even order statistic.
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	50 ## @end enumerate
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	51 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	52 ## Continuous sample quantile methods 4 through 9, where p(k) is the linear
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	53 ## interpolation function respecting each methods' representative cdf.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	54 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	55 ## @enumerate 4
14373 d00900b3dc4b doc: Use two spaces at start of sentence. Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	56 ## @item Method 4: p(k) = k / n. That is, linear interpolation of the
11120 a44f979a35ce style fixes for some .m files John W. Eaton <jwe@octave.org> parents: 10821 diff changeset	57 ## empirical cdf.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	58 ##
14373 d00900b3dc4b doc: Use two spaces at start of sentence. Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	59 ## @item Method 5: p(k) = (k - 0.5) / n. That is a piecewise linear function
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	60 ## where the knots are the values midway through the steps of the empirical
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	61 ## cdf.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	62 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	63 ## @item Method 6: p(k) = k / (n + 1).
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	64 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	65 ## @item Method 7: p(k) = (k - 1) / (n - 1).
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	66 ##
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	67 ## @item Method 8: p(k) = (k - 1/3) / (n + 1/3). The resulting quantile
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	68 ## estimates are approximately median-unbiased regardless of the distribution
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	69 ## of @var{x}.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	70 ##
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	71 ## @item Method 9: p(k) = (k - 3/8) / (n + 1/4). The resulting quantile
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	72 ## estimates are approximately unbiased for the expected order statistics if
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	73 ## @var{x} is normally distributed.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	74 ## @end enumerate
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	75 ##
19074 0850b5212619 doc: Add @nospell macro around proper names in documentation. Rik <rik@octave.org> parents: 18204 diff changeset	76 ## @nospell{Hyndman and Fan} (1996) recommend method 8. Maxima, S, and R
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	77 ## (versions prior to 2.0.0) use 7 as their default. Minitab and SPSS
9051 1bf0ce0930be Grammar check TexInfo in all .m files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	78 ## use method 6. @sc{matlab} uses method 5.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	79 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	80 ## References:
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	81 ##
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	82 ## @itemize @bullet
19074 0850b5212619 doc: Add @nospell macro around proper names in documentation. Rik <rik@octave.org> parents: 18204 diff changeset	83 ## @item @nospell{Becker, R. A., Chambers, J. M. and Wilks, A. R.} (1988)
0850b5212619 doc: Add @nospell macro around proper names in documentation. Rik <rik@octave.org> parents: 18204 diff changeset	84 ## The New S Language. Wadsworth & Brooks/Cole.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	85 ##
19074 0850b5212619 doc: Add @nospell macro around proper names in documentation. Rik <rik@octave.org> parents: 18204 diff changeset	86 ## @item @nospell{Hyndman, R. J. and Fan, Y.} (1996) Sample quantiles in
9069 634274aaa183 Cleanup documentation for stats.texi Rik <rdrider0-list@yahoo.com> parents: 9051 diff changeset	87 ## statistical packages, American Statistician, 50, 361--365.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	88 ##
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	89 ## @item R: A Language and Environment for Statistical Computing;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	90 ## @url{http://cran.r-project.org/doc/manuals/fullrefman.pdf}.
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	91 ## @end itemize
12569 6ef23b4a3402 Add quantile, prctile functions to documentation. Rik <octave@nomad.inbox5.com> parents: 12480 diff changeset	92 ##
6ef23b4a3402 Add quantile, prctile functions to documentation. Rik <octave@nomad.inbox5.com> parents: 12480 diff changeset	93 ## Examples:
13929 9cae456085c2 Grammarcheck of documentation before 3.6.0 release. Rik <octave@nomad.inbox5.com> parents: 12974 diff changeset	94 ## @c Set example in small font to prevent overfull line
12569 6ef23b4a3402 Add quantile, prctile functions to documentation. Rik <octave@nomad.inbox5.com> parents: 12480 diff changeset	95 ##
12974 6590446c2498 doc: Correct Texinfo overfull hbox instances. Rik <octave@nomad.inbox5.com> parents: 12656 diff changeset	96 ## @smallexample
12569 6ef23b4a3402 Add quantile, prctile functions to documentation. Rik <octave@nomad.inbox5.com> parents: 12480 diff changeset	97 ## @group
12974 6590446c2498 doc: Correct Texinfo overfull hbox instances. Rik <octave@nomad.inbox5.com> parents: 12656 diff changeset	98 ## x = randi (1000, [10, 1]); # Create empirical data in range 1-1000
6590446c2498 doc: Correct Texinfo overfull hbox instances. Rik <octave@nomad.inbox5.com> parents: 12656 diff changeset	99 ## q = quantile (x, [0, 1]); # Return minimum, maximum of distribution
6590446c2498 doc: Correct Texinfo overfull hbox instances. Rik <octave@nomad.inbox5.com> parents: 12656 diff changeset	100 ## q = quantile (x, [0.25 0.5 0.75]); # Return quartiles of distribution
12569 6ef23b4a3402 Add quantile, prctile functions to documentation. Rik <octave@nomad.inbox5.com> parents: 12480 diff changeset	101 ## @end group
12974 6590446c2498 doc: Correct Texinfo overfull hbox instances. Rik <octave@nomad.inbox5.com> parents: 12656 diff changeset	102 ## @end smallexample
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	103 ## @seealso{prctile}
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	104 ## @end deftypefn
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	105
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	106 ## Author: Ben Abbott <bpabbott@mac.com>
19867 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19731 diff changeset	107 ## Description: Matlab style quantile function of a discrete/continuous
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19731 diff changeset	108 ## distribution.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	109
18204 b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	110 function q = quantile (x, p = [], dim, method = 5)
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	111
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	112 if (nargin < 1 \|\| nargin > 4)
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	113 print_usage ();
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	114 endif
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	115
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	116 if (! (isnumeric (x) \|\| islogical (x)))
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	117 error ("quantile: X must be a numeric vector or matrix");
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	118 endif
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	119
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	120 if (isempty (p))
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	121 p = [0.00 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	122 endif
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	123
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	124 if (! (isnumeric (p) && isvector (p)))
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	125 error ("quantile: P must be a numeric vector");
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	126 endif
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	127
18204 b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	128 if (nargin < 3)
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	129 ## Find the first non-singleton dimension.
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	130 (dim = find (size (x) > 1, 1)) \|\| (dim = 1);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	131 else
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	132 if (!(isscalar (dim) && dim == fix (dim))
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	133 \|\| !(1 <= dim && dim <= ndims (x)))
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	134 error ("quantile: DIM must be an integer and a valid dimension");
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	135 endif
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	136 endif
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	137
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	138 ## Set the permutation vector.
14868 5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory Rik <octave@nomad.inbox5.com> parents: 14740 diff changeset	139 perm = 1:ndims (x);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	140 perm(1) = dim;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	141 perm(dim) = 1;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	142
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	143 ## Permute dim to the 1st index.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	144 x = permute (x, perm);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	145
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	146 ## Save the size of the permuted x N-d array.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	147 sx = size (x);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	148
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	149 ## Reshape to a 2-d array.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	150 x = reshape (x, [sx(1), prod(sx(2:end))]);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	151
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	152 ## Calculate the quantiles.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	153 q = __quantile__ (x, p, method);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	154
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	155 ## Return the shape to the original N-d array.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	156 q = reshape (q, [numel(p), sx(2:end)]);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	157
8506 bc982528de11 comment style fixes John W. Eaton <jwe@octave.org> parents: 7643 diff changeset	158 ## Permute the 1st index back to dim.
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	159 q = ipermute (q, perm);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	160
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	161 endfunction
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	162
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	163
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	164 %!test
18204 b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	165 %! p = 0.50;
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	166 %! q = quantile (1:4, p);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	167 %! qa = 2.5;
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	168 %! assert (q, qa);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	169 %! q = quantile (1:4, p, 1);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	170 %! qa = [1, 2, 3, 4];
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	171 %! assert (q, qa);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	172 %! q = quantile (1:4, p, 2);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	173 %! qa = 2.5;
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	174 %! assert (q, qa);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	175
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	176 %!test
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	177 %! p = [0.50 0.75];
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	178 %! q = quantile (1:4, p);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	179 %! qa = [2.5 3.5];
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	180 %! assert (q, qa);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	181 %! q = quantile (1:4, p, 1);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	182 %! qa = [1, 2, 3, 4; 1, 2, 3, 4];
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	183 %! assert (q, qa);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	184 %! q = quantile (1:4, p, 2);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	185 %! qa = [2.5 3.5];
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	186 %! assert (q, qa);
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	187
b29beed0e98d Use first non-singleton dimension for prctile, quantile (bug #40736). Rik <rik@octave.org> parents: 17744 diff changeset	188 %!test
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	189 %! p = 0.5;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	190 %! x = sort (rand (11));
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	191 %! q = quantile (x, p);
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	192 %! assert (q, x(6,:));
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	193 %! x = x.';
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	194 %! q = quantile (x, p, 2);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	195 %! assert (q, x(:,6));
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	196
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	197 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	198 %! p = [0.00, 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	199 %! x = [1; 2; 3; 4];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	200 %! a = [1.0000 1.0000 2.0000 3.0000 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	201 %! 1.0000 1.5000 2.5000 3.5000 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	202 %! 1.0000 1.0000 2.0000 3.0000 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	203 %! 1.0000 1.0000 2.0000 3.0000 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	204 %! 1.0000 1.5000 2.5000 3.5000 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	205 %! 1.0000 1.2500 2.5000 3.7500 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	206 %! 1.0000 1.7500 2.5000 3.2500 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	207 %! 1.0000 1.4167 2.5000 3.5833 4.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	208 %! 1.0000 1.4375 2.5000 3.5625 4.0000];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	209 %! for m = 1:9
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	210 %! q = quantile (x, p, 1, m).';
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	211 %! assert (q, a(m,:), 0.0001);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	212 %! endfor
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	213
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	214 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	215 %! p = [0.00, 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	216 %! x = [1; 2; 3; 4; 5];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	217 %! a = [1.0000 2.0000 3.0000 4.0000 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	218 %! 1.0000 2.0000 3.0000 4.0000 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	219 %! 1.0000 1.0000 2.0000 4.0000 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	220 %! 1.0000 1.2500 2.5000 3.7500 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	221 %! 1.0000 1.7500 3.0000 4.2500 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	222 %! 1.0000 1.5000 3.0000 4.5000 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	223 %! 1.0000 2.0000 3.0000 4.0000 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	224 %! 1.0000 1.6667 3.0000 4.3333 5.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	225 %! 1.0000 1.6875 3.0000 4.3125 5.0000];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	226 %! for m = 1:9
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	227 %! q = quantile (x, p, 1, m).';
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	228 %! assert (q, a(m,:), 0.0001);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	229 %! endfor
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	230
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	231 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	232 %! p = [0.00, 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	233 %! x = [1; 2; 5; 9];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	234 %! a = [1.0000 1.0000 2.0000 5.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	235 %! 1.0000 1.5000 3.5000 7.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	236 %! 1.0000 1.0000 2.0000 5.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	237 %! 1.0000 1.0000 2.0000 5.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	238 %! 1.0000 1.5000 3.5000 7.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	239 %! 1.0000 1.2500 3.5000 8.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	240 %! 1.0000 1.7500 3.5000 6.0000 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	241 %! 1.0000 1.4167 3.5000 7.3333 9.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	242 %! 1.0000 1.4375 3.5000 7.2500 9.0000];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	243 %! for m = 1:9
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	244 %! q = quantile (x, p, 1, m).';
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	245 %! assert (q, a(m,:), 0.0001);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	246 %! endfor
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	247
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	248 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	249 %! p = [0.00, 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	250 %! x = [1; 2; 5; 9; 11];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	251 %! a = [1.0000 2.0000 5.0000 9.0000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	252 %! 1.0000 2.0000 5.0000 9.0000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	253 %! 1.0000 1.0000 2.0000 9.0000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	254 %! 1.0000 1.2500 3.5000 8.0000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	255 %! 1.0000 1.7500 5.0000 9.5000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	256 %! 1.0000 1.5000 5.0000 10.0000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	257 %! 1.0000 2.0000 5.0000 9.0000 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	258 %! 1.0000 1.6667 5.0000 9.6667 11.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	259 %! 1.0000 1.6875 5.0000 9.6250 11.0000];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	260 %! for m = 1:9
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	261 %! q = quantile (x, p, 1, m).';
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	262 %! assert (q, a(m,:), 0.0001);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	263 %! endfor
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	264
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	265 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	266 %! p = [0.00, 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	267 %! x = [16; 11; 15; 12; 15; 8; 11; 12; 6; 10];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	268 %! a = [6.0000 10.0000 11.0000 15.0000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	269 %! 6.0000 10.0000 11.5000 15.0000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	270 %! 6.0000 8.0000 11.0000 15.0000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	271 %! 6.0000 9.0000 11.0000 13.5000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	272 %! 6.0000 10.0000 11.5000 15.0000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	273 %! 6.0000 9.5000 11.5000 15.0000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	274 %! 6.0000 10.2500 11.5000 14.2500 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	275 %! 6.0000 9.8333 11.5000 15.0000 16.0000
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	276 %! 6.0000 9.8750 11.5000 15.0000 16.0000];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	277 %! for m = 1:9
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	278 %! q = quantile (x, p, 1, m).';
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	279 %! assert (q, a(m,:), 0.0001);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	280 %! endfor
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	281
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	282 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	283 %! p = [0.00, 0.25, 0.50, 0.75, 1.00];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	284 %! x = [-0.58851; 0.40048; 0.49527; -2.551500; -0.52057; ...
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	285 %! -0.17841; 0.057322; -0.62523; 0.042906; 0.12337];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	286 %! a = [-2.551474 -0.588505 -0.178409 0.123366 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	287 %! -2.551474 -0.588505 -0.067751 0.123366 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	288 %! -2.551474 -0.625231 -0.178409 0.123366 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	289 %! -2.551474 -0.606868 -0.178409 0.090344 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	290 %! -2.551474 -0.588505 -0.067751 0.123366 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	291 %! -2.551474 -0.597687 -0.067751 0.192645 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	292 %! -2.551474 -0.571522 -0.067751 0.106855 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	293 %! -2.551474 -0.591566 -0.067751 0.146459 0.495271
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	294 %! -2.551474 -0.590801 -0.067751 0.140686 0.495271];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	295 %! for m = 1:9
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	296 %! q = quantile (x, p, 1, m).';
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	297 %! assert (q, a(m,:), 0.0001);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	298 %! endfor
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	299
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	300 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	301 %! p = 0.5;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	302 %! x = [0.112600, 0.114800, 0.052100, 0.236400, 0.139300
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	303 %! 0.171800, 0.727300, 0.204100, 0.453100, 0.158500
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	304 %! 0.279500, 0.797800, 0.329600, 0.556700, 0.730700
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	305 %! 0.428800, 0.875300, 0.647700, 0.628700, 0.816500
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	306 %! 0.933100, 0.931200, 0.963500, 0.779600, 0.846100];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	307 %! tol = 0.00001;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	308 %! x(5,5) = NaN;
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	309 %! assert (quantile (x, p, 1), [0.27950, 0.79780, 0.32960, 0.55670, 0.44460], tol);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	310 %! x(1,1) = NaN;
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	311 %! assert (quantile (x, p, 1), [0.35415, 0.79780, 0.32960, 0.55670, 0.44460], tol);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	312 %! x(3,3) = NaN;
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	313 %! assert (quantile (x, p, 1), [0.35415, 0.79780, 0.42590, 0.55670, 0.44460], tol);
7643 0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	314
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	315 %!test
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	316 %! sx = [2, 3, 4];
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	317 %! x = rand (sx);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	318 %! dim = 2;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	319 %! p = 0.5;
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	320 %! yobs = quantile (x, p, dim);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	321 %! yexp = median (x, dim);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	322 %! assert (yobs, yexp);
0220da981c2a Modified statistics to calculate consistent median. Ben Abbott <bpabbott@mac.com> parents: diff changeset	323
19867 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19731 diff changeset	324 ## Test input validation
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	325 %!error quantile ()
e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	326 %!error quantile (1, 2, 3, 4, 5)
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	327 %!error quantile (['A'; 'B'], 10)
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	328 %!error quantile (1:10, [true, false])
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	329 %!error quantile (1:10, ones (2,2))
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	330 %!error quantile (1, 1, 1.5)
e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	331 %!error quantile (1, 1, 0)
e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	332 %!error quantile (1, 1, 3)
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	333 %!error quantile ((1:5)', 0.5, 1, 0)
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	334 %!error quantile ((1:5)', 0.5, 1, 10)
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	335
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	336 ## For the cumulative probability values in @var{p}, compute the
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	337 ## quantiles, @var{q} (the inverse of the cdf), for the sample, @var{x}.
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	338 ##
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	339 ## The optional input, @var{method}, refers to nine methods available in R
16766 7268845c0a1e avoid backquote in error messages, some uses in doc strings John W. Eaton <jwe@octave.org> parents: 14868 diff changeset	340 ## (http://www.r-project.org/). The default is @var{method} = 7.
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	341 ## @seealso{prctile, quantile, statistics}
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	342
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	343 ## Author: Ben Abbott <bpabbott@mac.com>
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	344 ## Vectorized version: Jaroslav Hajek <highegg@gmail.com>
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	345 ## Description: Quantile function of empirical samples
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	346
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	347 function inv = __quantile__ (x, p, method = 5)
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	348
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	349 if (nargin < 2 \|\| nargin > 3)
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	350 print_usage ();
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	351 endif
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	352
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	353 if (isinteger (x) \|\| islogical (x))
12585 4e32a1bb9096 mode.m, quantile.m: Return output of same class as input. Rik <octave@nomad.inbox5.com> parents: 12569 diff changeset	354 x = double (x);
4e32a1bb9096 mode.m, quantile.m: Return output of same class as input. Rik <octave@nomad.inbox5.com> parents: 12569 diff changeset	355 endif
4e32a1bb9096 mode.m, quantile.m: Return output of same class as input. Rik <octave@nomad.inbox5.com> parents: 12569 diff changeset	356
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	357 ## set shape of quantiles to column vector.
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	358 p = p(:);
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	359
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	360 ## Save length and set shape of samples.
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	361 ## FIXME: does sort guarantee that NaN's come at the end?
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	362 x = sort (x);
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	363 m = sum (! isnan (x));
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	364 [xr, xc] = size (x);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	365
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	366 ## Initialize output values.
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	367 inv = Inf (class (x)) * (-(p < 0) + (p > 1));
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	368 inv = repmat (inv, 1, xc);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	369
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	370 ## Do the work.
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	371 if (any (k = find ((p >= 0) & (p <= 1))))
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	372 n = length (k);
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	373 p = p(k);
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	374 ## Special case of 1 row.
6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	375 if (xr == 1)
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	376 inv(k,:) = repmat (x, n, 1);
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	377 return;
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	378 endif
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	379
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	380 ## The column-distribution indices.
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	381 pcd = kron (ones (n, 1), xr*(0:xc-1));
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	382 mm = kron (ones (n, 1), m);
11120 a44f979a35ce style fixes for some .m files John W. Eaton <jwe@octave.org> parents: 10821 diff changeset	383 switch (method)
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	384 case {1, 2, 3}
11120 a44f979a35ce style fixes for some .m files John W. Eaton <jwe@octave.org> parents: 10821 diff changeset	385 switch (method)
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	386 case 1
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	387 p = max (ceil (kron (p, m)), 1);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	388 inv(k,:) = x(p + pcd);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	389
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	390 case 2
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	391 p = kron (p, m);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	392 p_lr = max (ceil (p), 1);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	393 p_rl = min (floor (p + 1), mm);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	394 inv(k,:) = (x(p_lr + pcd) + x(p_rl + pcd))/2;
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	395
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	396 case 3
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	397 ## Used by SAS, method PCTLDEF=2.
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	398 ## http://support.sas.com/onlinedoc/913/getDoc/en/statug.hlp/stdize_sect14.htm
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	399 t = max (kron (p, m), 1);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	400 t = roundb (t);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	401 inv(k,:) = x(t + pcd);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	402 endswitch
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	403
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	404 otherwise
11120 a44f979a35ce style fixes for some .m files John W. Eaton <jwe@octave.org> parents: 10821 diff changeset	405 switch (method)
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	406 case 4
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	407 p = kron (p, m);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	408
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	409 case 5
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	410 ## Used by Matlab.
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	411 p = kron (p, m) + 0.5;
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	412
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	413 case 6
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	414 ## Used by Minitab and SPSS.
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	415 p = kron (p, m+1);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	416
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	417 case 7
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	418 ## Used by S and R.
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	419 p = kron (p, m-1) + 1;
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	420
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	421 case 8
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	422 ## Median unbiased.
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	423 p = kron (p, m+1/3) + 1/3;
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	424
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	425 case 9
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	426 ## Approximately unbiased respecting order statistics.
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	427 p = kron (p, m+0.25) + 0.375;
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	428
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	429 otherwise
12480 139f993936af Uppercase variables in script error strings. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	430 error ("quantile: Unknown METHOD, '%d'", method);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	431 endswitch
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	432
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	433 ## Duplicate single values.
12656 6b2f14af2360 Overhaul functions in statistics/base directory. Rik <octave@nomad.inbox5.com> parents: 12653 diff changeset	434 imm1 = (mm == 1);
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	435 x(2,imm1) = x(1,imm1);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	436
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	437 ## Interval indices.
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	438 pi = max (min (floor (p), mm-1), 1);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	439 pr = max (min (p - pi, 1), 0);
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	440 pi += pcd;
95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9899 diff changeset	441 inv(k,:) = (1-pr) .* x(pi) + pr .* x(pi+1);
9899 9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	442 endswitch
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	443 endif
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	444
9f25290a35e8 more private function and subfunction changes John W. Eaton <jwe@octave.org> parents: 9069 diff changeset	445 endfunction
11436 e151e23f73bc Overhaul base statistics functions and documentation of same. Rik <octave@nomad.inbox5.com> parents: 11131 diff changeset	446

Mercurial > octave-nkf

annotate scripts/statistics/base/quantile.m @ 19867:9fc020886ae9