1 USING: arrays assocs kernel math math.functions math.statistics sequences
2 math.order tools.test math.vectors ;
3 FROM: math.ranges => [a,b] ;
4 IN: math.statistics.tests
6 { 3 } [ { 1 2 3 4 5 } 1 power-mean ] unit-test
7 { t } [ { 1 2 3 4 5 } [ 2 power-mean ] [ quadratic-mean ] bi 1e-10 ~ ] unit-test
8 { 1 } [ { 1 } mean ] unit-test
9 { 0 } [ { } mean ] unit-test
10 { 3/2 } [ { 1 2 } mean ] unit-test
11 { 0.0 } [ { 0 0 0 } geometric-mean ] unit-test
12 { t } [ { 2 2 2 2 } geometric-mean 2.0 .0001 ~ ] unit-test
13 { 1.0 } [ { 1 1 1 } geometric-mean ] unit-test
14 { t } [ 1000 1000 <array> geometric-mean 1000 .01 ~ ] unit-test
15 { t } [ 100000 100000 <array> geometric-mean 100000 .01 ~ ] unit-test
17 { 1 } [ { 1 1 1 } harmonic-mean ] unit-test
18 { 12/7 } [ { 1 2 4 } harmonic-mean ] unit-test
20 { 5+1/4 } [ { 1 3 5 7 } contraharmonic-mean ] unit-test
21 { 18 } [ { 4 8 15 16 23 42 } 0 trimmed-mean ] unit-test
22 { 15+1/2 } [ { 4 8 15 16 23 42 } 0.2 trimmed-mean ] unit-test
23 { 3 } [ { 1 3 3 3 3 5 } 0.2 winsorized-mean ] unit-test
25 { 0 } [ { 1 } range ] unit-test
26 { 89 } [ { 1 2 30 90 } range ] unit-test
27 { 2 } [ { 1 2 3 } median ] unit-test
28 { 5/2 } [ { 1 2 3 4 } median ] unit-test
30 { 1 } [ { 1 2 3 4 } 0 kth-smallest ] unit-test
31 { 3 } [ { 1 2 3 4 } 2 kth-smallest ] unit-test
33 { 4 } [ { 1 2 3 4 } 0 kth-largest ] unit-test
34 { 2 } [ { 1 2 3 4 } 2 kth-largest ] unit-test
36 [ { 1 2 3 4 } 30 kth-largest ] [ bounds-error? ] must-fail-with
37 [ { 1 2 3 4 } 2 [ [ ] compare ] kth-object ] [ bounds-error? ] must-fail-with
38 { 3 } [ { 1 2 3 4 } 2 [ before? ] kth-object ] unit-test
40 { 1 } [ { 1 } mode ] unit-test
41 { 3 } [ { 1 2 3 3 3 4 5 6 76 7 2 21 1 3 3 3 } mode ] unit-test
43 [ { } median ] must-fail
44 [ { } upper-median ] must-fail
45 [ { } lower-median ] must-fail
47 { 2 } [ { 1 2 3 4 } lower-median ] unit-test
48 { 3 } [ { 1 2 3 4 } upper-median ] unit-test
49 { 3 } [ { 1 2 3 4 5 } lower-median ] unit-test
50 { 3 } [ { 1 2 3 4 5 } upper-median ] unit-test
53 { 1 } [ { 1 } lower-median ] unit-test
54 { 1 } [ { 1 } upper-median ] unit-test
55 { 1 } [ { 1 } median ] unit-test
57 { 1 } [ { 1 2 } lower-median ] unit-test
58 { 2 } [ { 1 2 } upper-median ] unit-test
59 { 3/2 } [ { 1 2 } median ] unit-test
61 { 1 } [ { 1 2 3 } sample-var ] unit-test
62 { 16 } [ { 4 6 8 10 10 12 14 16 } sample-var ] unit-test
64 { 16 } [ { 4 6 8 10 12 14 16 } population-var ] unit-test
65 { 1.0 } [ { 7 8 9 } sample-std ] unit-test
66 { 2/3 } [ { 7 8 9 } 0 var-ddof ] unit-test
67 { 2/3 } [ { 7 8 9 } population-var ] unit-test
68 { 1 } [ { 7 8 9 } 1 var-ddof ] unit-test
69 { 1 } [ { 7 8 9 } sample-var ] unit-test
70 { 2 } [ { 7 8 9 } 2 var-ddof ] unit-test
71 { 0 } [ { 7 8 9 } 3 var-ddof ] unit-test
73 { t } [ { 7 8 9 } 0 std-ddof 0.816496580927726 .0001 ~ ] unit-test
74 { t } [ { 7 8 9 } population-std 0.816496580927726 .0001 ~ ] unit-test
75 { 1.0 } [ { 7 8 9 } 1 std-ddof ] unit-test
76 { 1.0 } [ { 7 8 9 } sample-std ] unit-test
77 { 1.0 } [ { 7 8 9 } sample-std ] unit-test
78 { t } [ { 7 8 9 } 2 std-ddof 1.414213562373095 .0001 ~ ] unit-test
79 { 0.0 } [ { 7 8 9 } 3 std-ddof ] unit-test
81 { t } [ { 1 2 3 4 } sample-ste 0.6454972243679028 - .0001 < ] unit-test
83 { t } [ { 23.2 33.4 22.5 66.3 44.5 } sample-std 18.1906 - .0001 < ] unit-test
85 { 0 } [ { 1 } sample-var ] unit-test
86 { 0.0 } [ { 1 } sample-std ] unit-test
87 { 0.0 } [ { 1 } sample-ste ] unit-test
89 { 2 } [ { 1 3 5 7 } mean-dev ] unit-test
90 { 4/5 } [ { 1 3 3 3 5 } median-dev ] unit-test
102 { H{ { 1 1/2 } { 2 1/6 } { 3 1/3 } } }
103 [ { 1 1 1 1 1 1 2 2 3 3 3 3 } normalized-histogram ] unit-test
105 { 0 } [ { 1 } { 1 } sample-cov ] unit-test
106 { 2/3 } [ { 1 2 3 } { 4 5 6 } population-cov ] unit-test
108 { 0.75 } [ { 1 2 3 4 } dup sample-corr ] unit-test
109 { 1.0 } [ { 1 2 3 4 } dup population-corr ] unit-test
110 { -0.75 } [ { 1 2 3 4 } { -4 -5 -6 -7 } sample-corr ] unit-test
112 { { 1 2 4 7 } } [ { 1 1 2 3 } cum-sum ] unit-test
113 { { 1 1 2 6 } } [ { 1 1 2 3 } cum-product ] unit-test
114 { { 5 3 3 1 } } [ { 5 3 4 1 } cum-min ] unit-test
115 { { 1 3 3 5 } } [ { 1 3 1 5 } cum-max ] unit-test
116 { { 1.0 1.5 2.0 } } [ { 1.0 2.0 3.0 } cum-mean ] unit-test
120 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile1 [ >float ] map
121 { 15.0 40.0 43.0 } .00001 v~
126 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile3 [ >float ] map
127 { 15.0 40.0 42.0 } .00001 v~
132 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile4 [ >float ] map
133 { 13.0 39.5 42.25 } .00001 v~
138 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile5 [ >float ] map
139 { 20+1/4 40 42+3/4 } .00001 v~
144 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile6 [ >float ] map
145 { 15.0 40.0 43.0 } .00001 v~
150 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile7 [ >float ] map
151 { 25.5 40.0 42.5 } .00001 v~
156 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile8 [ >float ] map
157 { 18.5 40.0 42.83333333333334 } .00001 v~
162 { 6 7 15 36 39 40 41 42 43 47 49 } { 1/4 1/2 3/4 } quantile9 [ >float ] map
163 { 18.9375 40.0 42.8125 } .00001 v~
166 { 0x1.02eb63cff3f8p0 } [ { 1 2 3 } entropy ] unit-test
168 { 1.0 } [ 0.5 binary-entropy ] unit-test
170 { { -4 13 -5 2 4 } } [ { 1 -3 10 5 7 11 } differences ] unit-test
173 { 6.5 3.8 6.6 5.7 6.0 6.4 5.3 } standardize
174 [ mean 0 1e-10 ~ ] [ sample-var 1 1e-10 ~ ] bi
178 { { 1 -1 2 } { 2 0 0 } { 0 1 -1 } } standardize-2d
180 [ [ mean ] map { 0 0 0 } 1e-10 v~ ]
181 [ [ sample-var ] map { 1 1 1 } 1e-10 v~ ] bi
184 { { 0 0 0 } } [ { 1 1 1 } standardize ] unit-test
186 { { 0 1/4 1/2 3/4 1 } } [ 5 iota rescale ] unit-test
190 { 2 2 2 1 0 5 6 7 7 7 7 }
192 { 30 30 30 20 10 40 50 60 60 60 60 } rank-values
198 [ { 3 1 4 15 92 } rank-values ] unit-test
201 [ { 1 2 3 3 2 3 } [ odd? ] cum-count ] unit-test
204 [ { 1 2 3 3 2 3 } [ 3 = ] cum-count ] unit-test
207 [ { 1 2 3 4 } cum-sum0 ] unit-test
210 [ { 2 3 4 } cum-product1 ] unit-test
213 { 1 2 3 4 5 10 21 12 12 12 12203 3403 030 3022 2 2 }
217 { 15+1/2 } [ { 4 8 15 16 23 42 } trimean ] unit-test