Data sets used in "On Bayesian analysis of mixtures with an unknown
number of components" by Sylvia Richardson and Peter J. Green.

Three real data sets are used throughout the paper, as a basis for our
comparisons.

Enzyme data

The first data set concerns the distribution of enzymatic activity in
the blood, for an enzyme involved in the metabolism of carcinogenic
substances, among of group of 245 unrelated individuals. The interest
here is in identifying subgroups of slow or fast metabolisers as a
marker of genetic polymorphism in the general population.  This data
set has been analysed by Bechtel {\em et al.} (1993), who identified a
mixture of 2 skewed distributions using maximum likelihood techniques
implemented in the program {\sc Skumix} of Maclean {\em et al.} (1976).

245
 0.130 0.080 1.261 0.224 0.132 1.052 0.085 0.124 0.718 0.280 0.687
 0.106 0.088 0.137 0.096 0.124 0.126 1.279 1.007 0.195 0.167 0.213
 0.108 1.371 0.190 0.184 1.298 1.036 0.205 1.950 1.018 0.172 0.148
 0.292 0.113 0.185 0.129 1.329 0.149 0.236 2.545 1.073 0.162 2.518
 0.142 2.880 0.178 1.075 0.128 0.083 0.409 0.340 0.246 1.195 1.452
 1.123 1.361 0.222 0.962 0.875 0.078 0.520 0.194 1.195 0.709 0.021
 0.166 0.081 0.265 0.159 0.308 1.604 0.179 0.172 0.131 0.305 0.215
 0.214 0.853 0.137 0.466 1.419 2.016 1.944 1.040 1.200 0.255 0.232
 0.200 0.240 0.216 0.277 2.427 0.320 0.142 0.134 0.198 0.126 1.173
 0.342 1.672 0.193 1.633 0.860 1.293 0.207 1.811 1.741 1.488 0.124
 1.326 0.148 0.109 1.848 1.310 0.118 1.004 0.204 0.192 0.299 1.885
 0.264 0.230 0.250 0.061 0.953 0.138 0.313 0.174 1.768 1.369 0.130
 1.113 0.320 0.190 0.818 1.461 0.149 0.291 0.225 1.622 0.185 0.198
 0.360 0.387 2.338 1.713 0.368 1.573 0.309 0.232 0.347 0.325 1.861
 0.258 0.258 1.625 0.291 1.169 0.210 0.241 0.112 0.183 0.258 0.357
 1.176 0.111 0.978 0.279 1.742 0.184 0.230 0.275 2.183 2.264 1.405
 0.408 0.126 0.263 0.162 0.902 1.516 0.293 0.198 0.118 0.305 0.031
 0.192 0.151 0.182 0.909 0.379 1.010 0.167 0.929 0.083 0.179 1.567
 1.241 0.077 0.166 1.271 0.100 1.229 0.152 1.374 0.157 1.003 0.084
 0.171 0.953 0.192 0.967 1.300 0.122 1.036 0.200 0.070 0.998 0.176
 0.673 0.839 0.867 0.985 0.096 0.238 0.933 1.231 0.162 0.044 0.175
 0.132 1.166 0.144 0.180 0.945 0.180 0.152 0.108 0.923 0.192 0.895
 0.176 0.191 1.161

Acidity data

The second data set concerns an acidity index measured in a sample of
155 lakes in the Northeastern United States and has been previously
analysed as a mixture of gaussian distributions on the log scale by
Crawford {\em et al.}(1992, 1994). These are the log data.

155
 2.928524 3.910021 3.732896 3.688879 3.822098 3.735286 4.143135
 4.276666 3.931826 4.077537 4.779123 4.234107 4.276666 4.543295
 6.467388 4.127134 3.977811 4.264087 4.007333 3.921973 5.384495
 4.912655 4.046554 4.043051 4.406719 4.505350 3.931826 6.752270
 6.928538 5.994460 4.248495 4.060443 4.727388 6.047372 4.082609
 4.244200 4.890349 4.416428 5.743003 4.127134 5.489764 4.778283
 5.249652 4.855929 4.128746 4.442651 4.025352 4.290459 4.593098
 4.652054 4.178992 4.382027 5.569489 5.049856 4.188138 6.629363
 4.647271 4.784989 4.348987 5.361292 4.574711 4.442651 6.120297
 4.060443 4.143135 4.510860 6.049733 4.510860 4.406719 6.343880
 4.430817 5.929589 5.973301 4.481872 4.301359 6.452680 4.204693
 4.143135 6.603944 4.644391 5.863631 4.025352 5.717028 5.308268
 6.267201 4.060443 5.017280 4.510860 5.834811 4.330733 4.007333
 6.806829 5.257495 4.624973 4.781641 4.099332 7.044382 3.914021
 4.330733 4.016383 5.572154 4.043051 4.843399 4.110874 4.454347
 4.356709 6.154858 6.284321 6.978214 4.301359 5.929855 4.465908
 6.035481 6.726473 7.105130 6.014937 4.882802 7.032095 4.518522
 6.476665 6.125558 4.189655 5.323498 4.938065 6.313548 5.853925
 6.278146 7.020191 5.023881 4.262680 6.725634 6.489205 5.743003
 6.739337 6.466145 6.855409 5.120983 5.913773 6.516932 4.058717
 6.213608 6.554218 6.155707 4.314818 6.662494 6.749931 6.100319
 4.112512 6.946014 4.131961 6.234411 6.595781 6.683861 6.957973
 4.497585

Galaxy data

The last data set was first described in Roeder (1990), and
subsequently analysed under different mixture models by several authors
including Escobar and West (1995) and Phillips and Smith (1996). It
consists of the velocities of 82 distant galaxies, diverging from our
own galaxy.

82
 9.172  9.350  9.483  9.558  9.775 10.227 10.406 16.084 16.170 18.419
18.552 18.600 18.927 19.052 19.070 19.330 19.343 19.349 19.440 19.473
19.529 19.541 19.547 19.663 19.846 19.856 19.863 19.914 19.918 19.973
19.989 20.166 20.175 20.179 20.196 20.215 20.221 20.415 20.629 20.795
20.821 20.846 20.875 20.986 21.137 21.492 21.701 21.814 21.921 21.960
22.185 22.209 22.242 22.249 22.314 22.374 22.495 22.746 22.747 22.888
22.914 23.206 23.241 23.263 23.484 23.538 23.542 23.666 23.706 23.711
24.129 24.285 24.289 24.366 24.717 24.990 25.633 26.960 26.995 32.065
32.789 34.279

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