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<h1>Discriminant Analysis of Geochemical composition vs. Eruption Phase (I)</h1>
<h2>Decepcion Island (Smellie 2001)</h2>
<ul>
<li><a href="mailto:[email protected]">[email protected]</a></li>
<li>Data by <a href="mailto:[email protected]">[email protected]</a></li>
<li>20160720</li>
</ul>
<p><strong>Goal: do samples defined by their geochemical composition cluster according to field-diagnosed eruption phase?</strong></p>
<pre><code class="r">knitr::opts_chunk$set(fig.path='figure/smellie-')
require(MASS)
require(ggplot2)
require(reshape2)
require(plyr)
require(scales)
require(robCompositions)
require(subselect)
rwd <- "/media/alobo/LACIE500/Adelina/GQDecepcion/RGQDecepcion"
dirdata1 <- "/media/alobo/LACIE500/Adelina/GQDecepcion/GQDecepcionData"
</code></pre>
<h2>1. Data handling</h2>
<h3>1.1 Data reading</h3>
<pre><code class="r">smellie <- read.csv(file.path(dirdata1,"smellie2001.csv"),header=TRUE,stringsAsFactors = FALSE)
head(smellie,1)
</code></pre>
<pre><code>## Sample Formation Longitude Latitude sio2 tio2 Al2o3 FeO
## 1 751.5a Basaltic Shield 51.88255 4.264456 51.88255 1.518027 16.81814 0
## Fe2O3 MnO MgO CaO Na2O K2O P2O5
## 1 9.447718 0.1597923 6.062119 9.807251 3.914911 0.3495456 0.1997403
## Loi
## 1 -0.1597923
</code></pre>
<pre><code class="r">smellie$Longitude <- -smellie$Longitude
smellie$Latitude <- -smellie$Latitude
smellie.phases <- read.csv(file.path(dirdata1,"smellie_phases.csv"),header=TRUE,stringsAsFactors = FALSE)
head(smellie.phases,1)
</code></pre>
<pre><code>## sample phase
## 1 751.5a pre
</code></pre>
<p>Make sure the ordering is the same:</p>
<pre><code class="r">diag(table(smellie$Sample,smellie.phases$sample))
</code></pre>
<pre><code>## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
</code></pre>
<pre><code class="r">smellie$Phase <- smellie.phases$phase
smellie$Phase <- factor(smellie$Phase,levels=c("pre","syn","post"))
head(smellie,1)
</code></pre>
<pre><code>## Sample Formation Longitude Latitude sio2 tio2 Al2o3
## 1 751.5a Basaltic Shield -51.88255 -4.264456 51.88255 1.518027 16.81814
## FeO Fe2O3 MnO MgO CaO Na2O K2O P2O5
## 1 0 9.447718 0.1597923 6.062119 9.807251 3.914911 0.3495456 0.1997403
## Loi Phase
## 1 -0.1597923 pre
</code></pre>
<pre><code class="r">dim(smellie)
</code></pre>
<pre><code>## [1] 57 17
</code></pre>
<pre><code class="r">smellie <- smellie[,c(1,17,2:16)]
head(smellie,1)
</code></pre>
<pre><code>## Sample Phase Formation Longitude Latitude sio2 tio2
## 1 751.5a pre Basaltic Shield -51.88255 -4.264456 51.88255 1.518027
## Al2o3 FeO Fe2O3 MnO MgO CaO Na2O K2O
## 1 16.81814 0 9.447718 0.1597923 6.062119 9.807251 3.914911 0.3495456
## P2O5 Loi
## 1 0.1997403 -0.1597923
</code></pre>
<pre><code class="r">smellie[1:10,1:6]
</code></pre>
<pre><code>## Sample Phase Formation Longitude Latitude sio2
## 1 751.5a pre Basaltic Shield -51.88255 -4.264456 51.88255
## 2 751.6b pre Basaltic Shield -52.70946 -5.128974 52.70946
## 3 791.2 pre Basaltic Shield -53.33732 -5.567195 53.33732
## 4 791.5 pre Basaltic Shield -53.79303 -5.694556 53.79303
## 5 B753.13 pre Fumarole Bay -52.15172 -4.923939 52.15172
## 6 B760.38 pre Fumarole Bay -50.91491 -4.779522 50.91491
## 7 786.6 pre Fumarole Bay -51.43655 -4.978053 51.43655
## 8 793.9 pre Fumarole Bay -53.09876 -5.656737 53.09876
## 9 867.3 pre Fumarole Bay -51.44509 -2.391868 51.44509
## 10 751.2 syn Outer Coast Tuff -51.45331 -4.519212 51.45331
</code></pre>
<pre><code class="r">summary(smellie)
</code></pre>
<pre><code>## Sample Phase Formation Longitude
## Length:57 pre : 9 Length:57 Min. :-66.07
## Class :character syn :14 Class :character 1st Qu.:-56.09
## Mode :character post:34 Mode :character Median :-54.24
## Mean :-54.77
## 3rd Qu.:-52.66
## Max. :-48.50
## Latitude sio2 tio2 Al2o3
## Min. :-9.310 Min. :48.50 Min. :0.518 Min. :13.94
## 1st Qu.:-6.285 1st Qu.:52.66 1st Qu.:1.596 1st Qu.:15.74
## Median :-5.704 Median :54.24 Median :1.882 Median :16.00
## Mean :-5.737 Mean :54.77 Mean :1.813 Mean :16.23
## 3rd Qu.:-5.020 3rd Qu.:56.09 3rd Qu.:2.050 3rd Qu.:16.67
## Max. :-2.392 Max. :66.07 Max. :2.514 Max. :21.46
## FeO Fe2O3 MnO MgO
## Min. :0 Min. : 4.260 Min. :0.08953 Min. :0.340
## 1st Qu.:0 1st Qu.: 8.696 1st Qu.:0.15979 1st Qu.:3.266
## Median :0 Median : 9.848 Median :0.16939 Median :3.858
## Mean :0 Mean : 9.605 Mean :0.16840 Mean :3.927
## 3rd Qu.:0 3rd Qu.:10.701 3rd Qu.:0.17957 3rd Qu.:4.653
## Max. :0 Max. :12.407 Max. :0.20016 Max. :8.147
## CaO Na2O K2O P2O5
## Min. : 1.170 Min. :2.358 Min. :0.2188 Min. :0.0600
## 1st Qu.: 6.584 1st Qu.:4.501 1st Qu.:0.5415 1st Qu.:0.2493
## Median : 7.396 Median :5.004 Median :0.6900 Median :0.3187
## Mean : 7.422 Mean :5.021 Mean :0.7627 Mean :0.3072
## 3rd Qu.: 8.596 3rd Qu.:5.448 3rd Qu.:0.8771 3rd Qu.:0.3600
## Max. :12.364 Max. :7.092 Max. :2.2300 Max. :0.4677
## Loi
## Min. :-0.51990
## 1st Qu.:-0.37849
## Median :-0.24923
## Mean :-0.01027
## 3rd Qu.:-0.02999
## Max. : 4.16000
</code></pre>
<p>[Fe0] is 0 in all samples, we discard it:</p>
<pre><code class="r">smellie <- smellie[,-9]
smellie.melt <- melt(smellie,id=1:6,variable.name="Compound",value.name="Concentration")
</code></pre>
<h3>1.2 Data transformation: Centered Log-Ratio</h3>
<pre><code class="r">barplot(apply(smellie[,6:15],1,sum))
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-5"/> </p>
<pre><code class="r">smellie.cenLR <- cenLR(smellie[,6:15])
smelliecen <- smellie
smelliecen[,6:15] <- smellie.cenLR$x.clr
head(smelliecen,1)
</code></pre>
<pre><code>## Sample Phase Formation Longitude Latitude sio2 tio2
## 1 751.5a pre Basaltic Shield -51.88255 -4.264456 2.910097 -0.6214748
## Al2o3 Fe2O3 MnO MgO CaO Na2O K2O
## 1 1.783572 1.206887 -2.872767 0.7631735 1.244236 0.3259065 -2.090007
## P2O5 Loi
## 1 -2.649623 -0.1597923
</code></pre>
<pre><code class="r">smelliecen.melt <- melt(smelliecen,id=1:6,variable.name="Compound",value.name="LRC_Concentration")
head(smelliecen.melt,10)
</code></pre>
<pre><code>## Sample Phase Formation Longitude Latitude sio2 Compound
## 1 751.5a pre Basaltic Shield -51.88255 -4.264456 2.910097 tio2
## 2 751.6b pre Basaltic Shield -52.70946 -5.128974 2.820914 tio2
## 3 791.2 pre Basaltic Shield -53.33732 -5.567195 2.794357 tio2
## 4 791.5 pre Basaltic Shield -53.79303 -5.694556 2.787703 tio2
## 5 B753.13 pre Fumarole Bay -52.15172 -4.923939 2.768322 tio2
## 6 B760.38 pre Fumarole Bay -50.91491 -4.779522 2.804505 tio2
## 7 786.6 pre Fumarole Bay -51.43655 -4.978053 2.754515 tio2
## 8 793.9 pre Fumarole Bay -53.09876 -5.656737 2.796068 tio2
## 9 867.3 pre Fumarole Bay -51.44509 -2.391868 2.786570 tio2
## 10 751.2 syn Outer Coast Tuff -51.45331 -4.519212 2.846602 tio2
## LRC_Concentration
## 1 -0.6214748
## 2 -0.4262413
## 3 -0.3516672
## 4 -0.3464901
## 5 -0.3521256
## 6 -0.4734254
## 7 -0.3862296
## 8 -0.2927181
## 9 -0.2818701
## 10 -0.5505409
</code></pre>
<pre><code class="r">ggplot(data=smelliecen.melt) +
geom_histogram(aes(x=LRC_Concentration)) +
facet_wrap(~Compound,scales="free")
</code></pre>
<pre><code>## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
## stat_bin: binwidth defaulted to range/30. Use 'binwidth = x' to adjust this.
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-5"/> </p>
<pre><code class="r">pairs(smelliecen[,-(1:6)])
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>
<h2>2. LDA</h2>
<pre><code class="r">smelliecen.lda <- lda(smelliecen[,6:16], grouping=smelliecen$Phase)
</code></pre>
<pre><code>## Warning in lda.default(x, grouping, ...): variables are collinear
</code></pre>
<pre><code class="r">smelliecen.lda <- lda(prcomp(smelliecen[,6:16])$x, grouping=smelliecen$Phase)
</code></pre>
<pre><code>## Error in lda.default(x, grouping, ...): variable 11 appears to be constant within groups
</code></pre>
<pre><code class="r">smelliecen.lda <- lda(prcomp(smelliecen[,6:16])$x[,-11], grouping=smelliecen$Phase)
smelliecen.ldaclas <- predict(smelliecen.lda)$class
smelliecen.ldc <- predict(smelliecen.lda)$x
colorines <- as.character(mapvalues(smelliecen.ldaclas,from=c("pre","syn","post"),
to=c("green","red","blue")))
</code></pre>
<pre><code class="r">plot(smelliecen.ldc, type="n", ,main="LDA Plot")
text(smelliecen.ldc,col=colorines, labels =smelliecen$Phase, cex=0.75)
legend("topright",title="Predicted Phases",title.col="black",legend=c("pre","syn","post"),text.col=c("green","red","blue"),bty="o",cex=0.75)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-7"/> </p>
<p>Labels refer to observed eruptive phases, while colors refer to LDA-predicted eruptive phases. Note 3 discrepancies:</p>
<ul>
<li>1 observed “syn” predicted as “pre”</li>
<li>1 observed “pre” predicted as “post”</li>
<li>1 observed “syn” predicted as “post”.<br/></li>
</ul>
<pre><code class="r">plot(smelliecen.ldc,col=colorines,pch=" ",main="LDA Plot")
text(smelliecen.ldc,col=colorines, labels =smelliecen$Sample, cex=0.75)
legend("topright",title="Predicted Phases",title.col="black",legend=c("pre","syn","post"), pch=19,col=c("green","red","blue"),bty="o",cex=0.75)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-8"/> </p>
<p>According to this plot, the samples correspond to:</p>
<ul>
<li>751.2 observed “syn” predicted as “pre”</li>
<li>793.9 observed “pre” predicted as “post”</li>
<li>751.3 observed “syn” predicted as “post”</li>
</ul>
<h3>2.2 Centroids</h3>
<pre><code class="r">ggplot(data=smelliecen.melt) +
geom_boxplot(aes(x=Compound,y=LRC_Concentration)) +
facet_wrap(~Phase)
</code></pre>
<p><img 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bPXSdyHwJT4czDcRGCQAezhPy3SW5B5HPchMCV+B8NNBAYZwIZE+A5GYDEB430wjMACDR02Ru9ZAmsLsLdaftoz5kn71F+0fQgMchOwkd2vN+r0He5DYEoGsN4P/F5vyHXaPgQGuQnY0T12fT+2T32t7UNgSgawGyPcxu6h7UNgkJuAhePD9LEBe+luu2vusk/pz2FwIzC+haxW2gEzP8EJAdbSqcw8aURgEIFhqQssA7ckFhgfpocITGvOYWlCYEr8QTNu4pugQ1F/H0wapS4wbQu/g0UqjR/kiPIp4S9cQg5+kCMcf9AMJR9YtBsVBAalBDD+ugrkDGDSB/EmIkRgagQGpQYwvi4igRmlAbAMYUZgEIGpERiUGg9yEBiBGaU6MCc9TE9gBGbkIGBRvhkRGEZgSgSGRQOWIYwIDCMwJQLDCAwiMDh7Edgr4iuYuRLY8TXiJfImIkRgcPYisMdWSRNXAtt9q3iJfJADIjA4ewJTIzDM5cA2XvubQPEEtuRhuz6D7VN/yMV9CAwjMCiNgP1izIEj/uIJ7MUXNhjdoP3WHYFhrgS254A0SSNg/6PWtNVOYM8/NN7oegIjML2X3pUmaQTsjdea4g3suQgvh9MtHsAG6C9L1BKBQe4EtuqgNEkmsG4XXnxFnO+DvRwB2NV7cZ+YgN34lTQhMMidwIZ+Ik2SCexIc/EEFm7ZHmlCYJiLgJ3YuiXU0+PsU9tO4T5pBMyyms54TF6OfCYHgUFb35Mmjgb2bo9+Rl0/wn3SCFjhoPMuPG9QIYGppQaw5Y9LE0cDe/u5fKOHl+E+aQRswLBCq/ChgQSm5mRgJxdkhXrhHvtUVg7u42xgXc276D3TF9hFpf4/ii8mMLW4Ajt1R69QPbvap3r9h/ZBrQe2pYfxtiVj7nkZ9yEwLJnAfr3B/8eGuD6KGI7A/H2fea5Cb+0w7YNaD2zzAPNz9W5KAXvZPIA/pC+w5ZcMHTv0khUEphZnYObP8jcRmFuAWXmTx0zOMw+ZwJQIDGsXsHciPYr4Ie6TTsCkCCxcO4GNNu40Db9P+yAXATu+xfw52Bbt7dHTBljm2tC9TAJTizOwCA3SPshFwMK54Jkcu4s37w602cHA9q6z6/W+fWqbto+zgc2cq/f/HtA+iMCgtAHm8fzC46/sIgcDe2jAg3r3XaPt42xg8b0P1s/8Oe1fXsJ9CAxL3rur/OhHGT8KNNjBwO4ZZfzyy9irtX2cDeyxkXr3Dtc+qA3Auke4xfln3IfAsGS+P9jNJq0QsGKowlMsZZVIk8ZKaVJTJ03Km7QNAyM9OV/bp75aOruqBmlS6pMmxU3l2t/966Ht0lAlfXB1vbbh0w9DzbrBPvXhLm0fb5l0dvqh7eh5vVHXl3GfUv3ahvNUSJPaWmlifO79y6F9lspav5jhXp4pTSobpUmJfGhDN0iTWvGrrUL/agvnKxUGAWCw4Vw0YM3Nd/B3sEHPTtF7o5O2j5O/g4WLy1OleB9Myok3ES3ryIjBgwf3++8OBvbANuO6VRAYgRk58UEOy+o0bPRtC65ZQ2BqBAYlCtimL6RJG4B9OsHulqfsU5O0H6slE9h/Ka6+yTrbncDUEgTsZI40cSewuLyq1OiRxj2IKddqv+ibTGC/3Gplltb+hMDUHPTS2Saw3uZrdo1xM7DF5tfu9Q4C9u7fnXzx33r2JjA1JwM7OMJ+rclBt7a8AOUS3IfAcJ+kPhfx+zrPoqkVBKbmZGDhUvQ3msO5AthvD5rXj8AITI3AsDYBe2VYPYHppQaw3culCYHhPskE1uuSv7s8zq+LGC4uwIZHeh1TbR9XAkvRl20L5wpgXxwI9IWDgX131O6Gbfap49o+BAYRGO7DZ9Mrpd3vg4UjMMwFwFLh2fThCAwisEBPdIvw5GcN2PYt0tkl/iai/Gx6PA8nAPv4O2lCYFAaA/vuQe1VtkdFuIuuP5NjykTp7Fz4mhw7+okXlOpvX0RgWCzA8jI1YM+8ddiol4OAJeAdLsMRGBQTMLkOA7ZXfxF8JwFrzX2wZAJLwDtchiMwKCZgL2ZJkw4DtuFBbQOBYdGAJeAdLsMRGERgmCuAJeAdLsMRGERgmCuAJeAdLsMRGERgmCuAJfQdLgkMIjDMFcAsq+m0z7yKBKZGYJijgEV4mL6ng4DlX3fBP+zu/i2BqREY5Ghg0wbb3XSnfeq+o7hPMoHd/HjdLz2jbyQwNQKDHA0snP6qUgen2a/RMWK4fWrq17hP4oGdX2b90iq6gMDUUh3Y0ZvFC3IRsEV9jZeEHt9fW83EA7vqYz+wNVcSmFqqA8vtLF5Q64Gdes/+Z//FW1ter+nz4Cg1gC18yvyq/o8OB7b5p3ddNPAfPyUwteQD+/QR+/Vsbr/LPjVCu+ueYGD7upjfAB759+CIwLBowKziOa/MOmNeEwJT6nhgk/9ovjjbwNW4jwFs49JQ866xTy3dqu3TBmA9zS+KpQRW0EZg9bO2WAsmNxCYmgOAvWZ+Rob/ELDrHjbexmXIQG0fAoMSD+yxzH3Wjk4PE5haigLrudT4rjdLX003ARth/oRsVIcD+0ngDdDzLiEwtRQF1i3C7x720fZxE7Ae5nJ073Bglwde72bH5QSmlqrABhvvBXrXbdo+bgJ2nfliAtd1OLAlPx31l6d+mvT3Bzv1/BOhRtxon3pijvZBBAYZwHoVGB+z705tHzcBc8R9MCv3lcfG7jevSQcDO565fIXeKyO0D5KBGQ+WtURgGIFBrnlNjuOZ5q+lfdp6YGPmSxMCwwgMcs1rcsQEbHnL8zxv6Weful97Dy5XAfvAfBTRxcAW3TLG6LYOB+aQ1+SICdhf/u8uozvX4T6xAIv4LvIpAGy0/ZyPoT1b3tjoJW0fFwE7mGX3+IiWkx3+ZF+HvCZHbMCuMR+H7RkfYBmwIQnAnjN/hnP/DwFrKT5PlUp1YOH4mhx+YH813gj06eHaB7kJWGfz0HoRWAoCc8hrchyP8DPSzCHaBxnAXs43ujdNbiL2MH+Gc308gGWkL7BVB6UJX5PDD2yc8dTtkcO0DzKAjTQe2l/RNw7AUvVBjpZkYMY353ApD6xB/Lcjya/JccZjrmRK3Adb3fIj6f4PtJzU3iCCwCACwxIPrHDQeReeN6gwJYGF48/BoPQDtnNdqI8y19gnv9T2cSawAcMKrcKHBhKYWvoCKxB9ORtY73uMp1nefYe2jzOBXVTq/6P44hQHtnWfNElVYMPmGt3u4kcRb/rOuC6H+2r7OBPYrzf4/9jggEcR2wUs7Z7su+EFu7uHtZzU7l7GeBNRGhEYFidgyy8ZOnboJSsITC35wMLF90VvUvU+WOoCs/Imj5mcZy4lgSklE9ihb6SJDCz/sDRxJ7BkvoWsvzoHvHQ2gUmTOL/DpStvIibvTdB9Uwda1uRLX4/wdCkCC5dGwFz5IEfygE24bJFlVS//2RvJBvZdJ/OZQd1Hah9EYBCBYU4E9qu/Bf+36tfJBlbw9Z5QH/e1T+3R730QGERgmBOBnZ8f/N/J85MOrCW+6A0WC7AoD8YTGJRoYFetC/5v5f8iMLUUBxbloUICwxINbMY/B17vZu9lUwhMjcAKHAbs+snGE1tev0Xbp8OAGasrA/O9cdGVva+84FWvc4Ad1l+sLVyHASvQjijFgKXhTcQIryGaeaO2T0cBM//9koFZVummrA1F5komD1ih/FXYYcDu1l4FLtWApd+DHNc9brx+zcje2j7OBGb3KIGFI7AChwFz0n2w2IA9EPjDt2buwmoCI7BABCZN2nAfTAP27VJr7wYCI7BABCZNYnpl3yCwzTuswtkBXKWlpUVnodLGs1LWOWnSUCZNqmqlSUmTeEHeImlSVyFNKuqlSZFP23Bqn92Aj+xTR4OTwNoU4s715dL5VoqHVuyVJme9xdKktlKalIuHVmiJF+QplSbV1fj3A5GAPRMcBU7izkXyoTWVSJPaKmlS1qBtiATsdm2fRvnQaqRJiUeanPUVShP9c6+9f2UUYOsOWw3T/P9f+Nprr23xQj7LKyVPfL62T6KcXYIv6Pnu5tO1OlcG9/TXlIBLbM0k3hfU6rMriATs+eYz8df6SxQnbTi03hGA9dcvqKM+JR/sx79X4xWLAmyT/ztYVmiD+24i/nG1uSzXHAlMAqfcdxOxm/lL1c88GRwF1gN3dtVNxCeXahtaDSxvmbXPvffBCAza1yXCz57+GBwRGPYDwIK/D3YgcMq3buH7NQRGYIH2dTXfO+GBUcERgWEyMMf8Plg4AsNkYPLTNfgoIpY8YI75fbBwyQP22FjzhYI7ORdYlGccEhiWPGDO+X2wlpIH7OEI9zkIjMCM2gDMgb8Pljxgjw4x73QQmDOA3dyuFx5NHjAH/j5YEu+D/TmlbiIWlGZIk/QDtjXCS2dv0/ZxIjAH/j5Y8oBltbyBxM2/t089czIwcSgwFz1VqqWY3vwhiY8iOu/3wZzwXMTsPPw7gRGYUpt+DsbfB4tQiv9GM4FpJf+ZHBUEpkZg/vZ1N98meiqBFbQJWP7QnuOb5j458B8JTI3A/B29o2+oW3rZp/q+HhwRGCYD69N9xoAu/zpm8loCUyMwaMOD2gZXAnuvl123HvapG3OCIxnYhcesgowcUxeBQSawKC8rQ2BYugAbNzHfqP+m4EgGllFqWRd/R2BarQKWIXwwgWFpA+wdE8ldPwiszLIuaRWws/qvSYcjMIjAMHcDW5edfeHS7OzsHwT2yVDxmrgUmPTBBIa5GtildgSmlhIPciT6uYjhCCxQTMCiRGDhCAwjsDYCq58pADv56K2hbuxin7p1pXZNCAxKP2DF+lehCezEZvES0wXYK8OnGN3SSmBlEbYFge25JsLvSI3SrgmBQenyG83hWgHsK/2F4sOlDbAIFHq0G1gP8zc4nntauyYEBqXfgxwEFuiVB8Yb9W43sOvNweLR2jUhMIjAsHQBFtN9sKLmjhMYRGAQgQUaf10/o87Ndz1lYBl2ErBrzW+LwwmsgMDcB+zoFrtHptintjZfGRlYlZ0A7OQ0+/GS5/u2PHTyqXZNCAxyE7ATR0Ntu8E+dfR7bed0ARYuplf2jQwsHH8OhpsILFCkN558VNuZwFoF7PNnxGtCYJCbgHUyf1N32wPazgTWKmB8Nj1uIrBAV99nvJragLu1nQmMwLQivkUogYULA4twE/FObef0A7b5gLaBwCIVFVgGbCAwrAVYp9Ub9Kbdq+2cfsBieodLAgvXGmC7cqWPdhWwDr8Plr8rXxoRmJLTgeGGCMAeXy59tKuAbdqll5VYYKctaUJgao4G1poHOQgs0PDBoe6+zj41+CVtZwIjMD0RWH7Lj1P/sNA+pb0KsKuAtdRhz+RIW2BRfkfeRcBej/Co2dW7cGcCwwisNcCi/Hafm4C9/K65UAO03zUkMIzACEyPwCACw3gTUYnAsAQBO6C/bEc4AmsVMD7IEThBYMFMYB32ojcEpkZgEIFhBKZEYIETL/3J+MHqrr4ERmAEZhYLsD9HeJi+O4ERGIGZxQJsbITXZbiOwAiMwMx4HwwjMIzAlAgM6nhgUX6KQ2AEpicDGznX6AYCi/o8BEcD+3yQeHYEptRRwFa/YHfPSPvU89pvhhEYRmAEpsfX5IDS+CYigakRGOQgYPwORmBGBIYRGEZgSgQG8SYiRmBKBIalBrBU/TkYgakRGERgGIEpERhGYBCBwdkTmBqBYQRGYHoEBhEYRmBKBIYRGERgagQGERhGYEoEhhEY5ApgxVCFp1jKKpEmjZXSpKZOmpQ3iRfkK5Mm9dXSpKpBmpT6xAtqKtf+7l8PbZeGKumDq+ulSZlXvERvfA9Nv7bhPBXSpLZWmhife/9yaJ+lstYvZri6GmlS2ShNSmI6NPGrLXuQeHa+Ummif+7P8TtYpPgdDON3MIw3EZUIDCIwjMCUCAwjMIjA1AgMIjCMwJQIDLZEefY4gWEERmB6rQKWIXwwgWEERmB6BAYRGEZgSgSGERhEYGoEBhEYRmBKaQBM+mACwwiMwPT4HQwiMIzAlAgMIzB/p2ZOCfWn3vapKZ9pH0RgSryJCEUBtu24NHERsEOdxhs9Okr7IAJT4jM5IAPY9MF2N95pnxqah/u4Cdi15tf7RwRGYFgbgD01yXxnzmu/xn0IDCMwJQKDTGArzE9wdwIjMIzAIALDCEyJwDACgwgMzp7A1AgMIzAC0yMwiMAwAlMisEAEBhFY5AgMIjCMwJQIDCMwiMDg7AlMjcAwJwLrPNfo2ZHaBxGYEoFBBIaZz0XMNPu99kEEpkRgEIFh5newMUZDHtM+iMCUCAwiMIz3wZQIDCMwiMDUCAwiMIzAlAgMNxEYRGAEpkdguA+BYQSmRGAQgWEEpkRgmPziH20ANjLCz306ExiBYW4EFuXlqwgMIzClDgNWKF4FNwF7MivfqBuBERgWC7DFT0sTNwHjfTCIwCJHYBCBYQSmRGBYgh/kIDCIwCLnSmB8mB4iMDUCgwgMIzCl1AJ26JknQg3pZ596Yi3uQ2C4j5uAdZpiNIrA2gBsY58VRqMm4D4Ehvu4CNj3kyaEGn2jfWrCKu2DCEzJAHaPeUDTCIzA9Pj+YGoEBhEYRmBKCb+JaN7IHjYe9yEw3IfAMAJTMoD1jPDku/G4D4HhPgSGEZiSAay3+RaG94/HfQgM9yEwjMCUeB8MIjCMwJQIDCMwiMDUCAxKIrDHzQd9XPz7YOEITI3AoDYAW9ny49Sbn7FPTTyJ+xAYRmBKBAYZwMLd95k0ITCsQvyyJjACEy+IwKAowLoeliYEVrDxTvNX5CcQWAGBaRGYWuuB7exl16Nby8l3cB8CwwgMIzAl/j4YRGAYgSkRGEZgUJyBffOpeHYEpkRgEIFhMrAi/dDCJQKYZ+XcGfkERmAYgWGxA8tdaxXMJDACwwgMix3Y6SKrbBaBERhGYFh77oPlz/jG/+cn8+bNy6mHGr31UpY48TZKE0+TNGnwiWfnaxAvyCNNVj4jXpB8vX3a9Q6sjH6JHXVoTeKhyZ+SKId2/07xgsTr3ahfb3M9OuzQYvpqa8OhhZiS8a4AAA38SURBVOt6Wrwg7XqXtw7Y3g+2+DbOPhM4+e3BgwdPlkJVnlIpq0yaeKqlSW29NKnwihfkK5cmDTXSZOm/S5Nyn3hBTZX498CaaAfZKB5aTYM0iXJo3gppIh9adaM0KbPEC7pvizSpq5MmVU3ahsB64JYoiykfWn2tNKkWv9qiHJqnSprIh1apH1q4rnnSRP/cF7b6O9jBZd6W07yJGC6wHryJGC6wHriFNxFbBWzV5OnTFxEYgWEEhvHnYEoEhhEYRGBqBAYRGEZgSh0G7Ost0oTAMAIL9P1Ru2t326dOaPsQmFKqv4UsgWGJBjYkwuv93aztQ2BKBIYRGGQAu3uPIeFsd20fAlOSgR1/XbwgAoMIDCMwJRnYoR7iBREYRGAYgSkZwN58IdTo7vapF2Zr+xAYRGAYgSkZwLq+PVdvnP5rrQQGERhGYEomsELjUL8ksIJo77ZOYBiBKRnAukT4DjZQ28eNwDIyRGFuAtb/aeNdQ17squ1DYEoGsM4RftBxu7YPgUFuAtY3wpdHF20fAlMyv4M9NUbv0f7aPmkM7MlsYUBgwfq/YLyI/6v8Dsb7YFgUYI3iVyEf5AjE+2ARS3lg8iMMBAYRmBqBQTKwKLfPCAwiMDUCgwgMcySwEcZd9CcJLB2ASSMCgxINbE2WXedp9qll2j4EppQywDKEEYFB/IVLNQKDCAwjMCUCw028iQgRGIGFciQw/hwMIzA4+5QC1v3eB/XuvFfbh8AgAsMITMkAtnldqKXd7FPrdmr7EBhEYBiBKfE3mjECgwhMjcAgAsMITInAsKQB+z57S6hVq+xT277HfQgMIzAlAsN0YAu79zPqvgj3cSewF49LEwJTIjBMBzbnWfNTP3oe7uNOYL6z0oTAlAgMIzCIwNQIDCIwjMCUCAxLHrBHNhgNJ7ACAoMIDGoLsB7mi7z0ILACAoMIDGoLsD7GM8ce7ENgBQQGERjE+2AYgSkRGJZoYA+sMLqPwAoIDCIwqA3ANj9h9/jjLSe1dwUlMIzAlGRg+UfEC3IRsHB8LiJGYEp8h0uIwDACUyIwjMAgAlMjMIjAMAJTIjDcRGAQgRGYHoFhBIYRmBKBQSkPTH4ZOwJTIzCIwDARWJTXYSUwNQKDCAwjMKU4AysSF4PAMAKDCExNBvbuS9KEwDA3AuODHHj2rQaWv91+4aJxT9untmovYURgGIFBBKamA/uoq/kSRj3exX3cCWzcQWniSmB5+6UJganpwJb1NH99tuvbuI87gd26W5q4CVje0VBLHrFPHc3HXQhMjcAgAsN0YHs6mV8emeNxHwJT04Gt7NTLqIuLbyLOavkNrBses0+9qP2T7SJgO3qaL19w63O4D4Gp6cBO7bHL/abl5Ancx03Ahjw9SW9ipvagj5uAdYvwHYzA+INmrA3ABkX4gnIxsN2RlmMs7kNgagQGGcAGX3eLXm8XAys4FuFBjpO4C4GpERhkABs32O7uQfapoadwHzcBa2nVY9KEwNQIDOIPmjEZ2I+vkCZpBOwcVNZ4TsoqlCYN5dKkqlaalDSJF+QtliZ1ldKkol6aFPnEC/KUahfsXw/tIBsqpA+uqpMmJV7xEr0l0qSuSppUNEiTIku8IE+ZNKmpkSZlHm2Dfzm0xSuWD61JPLRa6dAyzrsgQxgVyofWKB5atXhopfqhhfMVSZN67XN/hsAiRWCYk4D5E0ZpBAy/C/ImIm7iTUSIv3BJYHpOAiZ/QbkTGJ/sC2dPYGoxAssQRgQGEZgagUEEhhGYEoHhJt5EhAiMwPScBIwPcmAEBmdPYGoxAcsgMDUCg7MnMDXeB8MIjMD0CAwiMIzAlAgME4FFuQoEhhGYUmoAc8B9MALTIjCllAeW/EcRCUyLwJQIDIrpPpj8ozgCwwhMicAwPsgBEZgagUG8iYgRmBKBYQQGERicPYGpERhGYASmR2AQgWEEpkRgGIFBBKZGYBAfRcQITInAMAKDCAzOnsDUCAwjMALTIzCIwDACUyIwjMAgAlMjMIjAMAJTIjCMwCACg7MnMDUCwwiMwPQIDCIwjMCUCAwjMIjA1AgMIjCMwJQIDCMwiMDg7AlMjcAwAiMwPQKDCAwjMCUCwwgMIjA1AoMIDCMwJQLDCAwiMDh7AlMjMIzACEyPwCACwwhMicAwAoMITI3AIALDUhtY7mbp4vLXnJJG2Uekyb5d0uT4BmlS8LfvpMmOA9Lk4HZp8t0n4gV9dgz/HgFY9iHpg/d/IU3y1ouXuD5PmnyxX5ocypYmJ9eKF/T5UWmSs0eaHNU/9yaw7/4mXuKG49Jk1z5pckQ8tFNr8qXR5lxpsidHmhzbJE0K1p2QJtsOahtiAqZ1bKY08Y6tl0bzDkmT7I+lyem3xOswsUSaLP9SmuxdIk0qxosXNO17cWS38GtpsnOlNDk3STy7Seekycqd0uTrhdKk+mXxgmZ8K002bJQmee+KZ2dXMlEcvXVamnycLU0OzZMm9WO90mjmMWmy6W/S5MQ70sQaVylN3t8nflAgAmuOwDACwwhMicAgAsNSAVj+Omnim9cojdafkCYHxC+b4g/F6/CBeMhbc6XJsc+lSc374gWtKhRHdhvFL9TD26RJ2TLx7JaVSZNth6XJt6KIugXiBX18Rprs2SNNTq8Rz86u8gNx9GGxNNl5QJqcWC9NGuf5pNG6fGny1W5pcna1NLEW1UqTTcfFDwoUGzDGWKsiMMYSGIExlsDaCqwq19rffI/Js3LujPDt3I3jG60D28PbGt6fPavUKpmQlZWl7n5mwaxZm5uah9axsf4/yscebT6H5lHzaXniv/83970p9v1KZZL3apVlrSgwLiu44aT//s5Xc2v1zVbZhKz3pnyj7u55dfr08N2mky33k/ZHvpsoLUfk9Yi+HHFdj6jLIa1Hu5eDXx5GbQV2ZpV9KnetVdDyYKJv6rKD/hUMb/tys7V3nVUyx4LdK6cWWt61nzUPrWNvZlvWjjeb1yk0at5Znlh175RYtW+VGZO8vy5tWUH1suyV2D+3wdhslWVZ1qlp6vZCeFTlpPxARNTlENYj+nLEdT2iLoe0Hu1eDn55GLUV2Kq/Ht+/s37JvLmFp4ussln25hNL8xb7VzC4LTg9V2l99VloBT0rZs0pCY6ydwT+Oql5aB1b7R/P+/jooY8+zMoNjZofFbInte8vWLcYJtZXgUfLKurrF86bl69O8tYuyfWvYHC7elm+5pU4MLvBMjYHVzB3urr9yHuLl5bjCgaPR/gnSlgOYT2iL0dc1yPqckjr0e7l4JeHUQzfwfbv3Pq59e0i/3fjGd/Ym1fneifVHtge3BaaLnnNfxvg1Tlz5tTuXm/lzw+OVgc/4O2a4NA69smK4vJlnx49NNeXv7RlFFzB0OSzXdauxTCxNuUE/1eUa+3bqE7y1la8Xb+iILgdLyuwEpMXTA/8+EDb7L8NMGfWrHx1e67/X9rwI/bBFQwej7CCwnII6xF9OeK6HlGXQ1qPdi8HvzyMYgK2Ms/yTPVtnN3yUxTPG/MWvLnnwPbgtuC03mt9Oz/0T9Ta+StXLgqOsgPXw/NWXXDoX6fczTsO+Vfwc6vsg9Ao9E9UaLL4jHV6MUysvYF/or4+XvHxJ0s3qJO8tdbutSsKgtvVy2r+J+q9pm1rLWNz8J8oS9/eGP7hdnAFg8cTDZixHNJ6RF+OuK5H1OWQ1qPdy8EvD6M2A/vI/ifq4LLwT9GP+G+anph7YHtwW3C6fq/1/ZzQCn6x3SrPCY4qpxb5b8l+3jz0r5Mna36jfwW3+FcwNLJCK9g8Wf+l/58omFg104qt2qmFG/ZZOevViX8FfbOnFgS3q5dlr4Q365ixObSC6vbsL61v2/IdLOJySOsRfTniuh5Rl0Naj3YvB788jNoKrPrto4Eb2fPnFq6aPH36otDWD/zfQH2TdmwPbgtOK+fNeu90aAUbl81ffKp599PzZ737mbd56F8na+UyK7SCoZG9gs2T6gULVy+Dif9eZ9bM6futEwuWrH+nRpn4V9AqfLkguH2xclktK1EyZYm+ObSC6lWrXTx7fvg5WCcnZmVllQSOR1jByMshrUf05YjrekRdDmk92r0c/PIwcvbPwb45aX0tPgXIhXE9oFRYDmcDK5v7wSLxKYcujOsBpcJyOBsYYykegTk733u/O/+fXxWfMy5Xdkn8rwxrewTm7N741ZpTn1w2te0fSGDOiMAcXenF+/1/LhpoWSuuuHhgoXWk6zM/7bbj6r9/0lrw+yGXdM21t+/sbAX+O9LtjX/61WeWNeXnP59EYI6IwBzdpitDJ769ZH3JsMHWkf+0qCTzZyd2ZhQuOO+dwmd/5wttt4Fd+GrNs9daW3+8Jf8GAnNEBObosnqHTkwealmF/7npyKWWNeYxy/rlsQVXWVbjT74JbbeBXeyxDvzGevI5y9pOYI6IwBzdhuB3sOrJdWPG+v9/4Zkjv7GsF/wnLz+2oL9/w799HtoeALbDD+wKy/LvMnimZZ0hMEdEYI6u6IK9/j+XX+qbPMz/neo8jwLM/x3M899yQ9t3ZlrW0s4BXIH/nvZ/B9tBYI6IwJzdq5d9dHLVzyZaxy/eWPrQPZYCLGNG0XNXeUPbD5/3VXGvFmDbf7y14KZ/SPZVZ4EIzNk1/fV//tfLJzb5v4tdcdGAcyqw2+6+qMthe7tv1N//dlkLMGvqzy+dfWmyrzoLRGAp2oLByb4GrDURWIpGYKkRgaVoBJYaERhjCYzAGEtgBMZYAiMwxhIYgTGWwAiMsQRGYIwlMAJjLIH9f1Eark+R5wUBAAAAAElFTkSuQmCC" alt="plot of chunk unnamed-chunk-9"/> </p>
<pre><code class="r">ggplot(data=smellie.melt) +
geom_boxplot(aes(x=Compound,y=Concentration)) +
facet_wrap(~Phase)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
<h2>3. MANOVA</h2>
<p>Check multi-variate significance</p>
<pre><code class="r">summary(manova(data.matrix(smelliecen[,-(1:5)]) ~ smelliecen$Phase),test="Wilks")
</code></pre>
<pre><code>## Error in summary.manova(manova(data.matrix(smelliecen[, -(1:5)]) ~ smelliecen$Phase), : residuals have rank 10 < 11
</code></pre>
<p>This seems to be a consequence of the co-llinearity again. So we use the same solution:</p>
<pre><code class="r">summary(manova(prcomp(smelliecen[,6:16])$x[,-11]~ smelliecen$Phase),test="Wilks")
</code></pre>
<pre><code>## Df Wilks approx F num Df den Df Pr(>F)
## smelliecen$Phase 2 0.18829 5.8705 20 90 1.795e-09 ***
## Residuals 54
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
</code></pre>
<p><strong>Phase groups significantly differ in terms of Geochemical composition</strong></p>
<h2>4. Selection of variables</h2>
<pre><code class="r">smelliecenHmat <- ldaHmat(smelliecen[,-(1:5)], grouping=smelliecen$Phase)
smelliecen.eleaps <- eleaps(smelliecenHmat$mat,kmin=2,kmax=10,H=smelliecenHmat$H,r=smelliecenHmat$r,crit="tau2",timelimit=15)
smelliecen.eleaps
</code></pre>
<p>Plot of quality of subsets</p>
<pre><code class="r">par(mfrow=c(1,2))
plot(2:10,smelliecen.eleaps$bestvalues,xlab="Nb. of variables", ylab="Tau2 value")
plot(3:10,diff(smelliecen.eleaps$bestvalues)*100/smelliecen.eleaps$bestvalues[-9],
xlab="Nb. of variables", ylab="Delta of Tau2")
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-13"/> </p>
<p>Table of subsets</p>
<pre><code class="r">options(width=180)
subsets <- smelliecen.eleaps$bestsets
subsets[subsets==0] <- NA
subsets2 <- names(smelliecen)[subsets+5]
dim(subsets2) <- dim(subsets)
colnames(subsets2) <- colnames(subsets)
subsets2
</code></pre>
<pre><code>## Var.1 Var.2 Var.3 Var.4 Var.5 Var.6 Var.7 Var.8 Var.9 Var.10
## [1,] "Fe2O3" "P2O5" NA NA NA NA NA NA NA NA
## [2,] "MnO" "K2O" "P2O5" NA NA NA NA NA NA NA
## [3,] "sio2" "Al2o3" "Na2O" "K2O" NA NA NA NA NA NA
## [4,] "sio2" "Al2o3" "Na2O" "K2O" "P2O5" NA NA NA NA NA
## [5,] "sio2" "Al2o3" "Fe2O3" "Na2O" "K2O" "P2O5" NA NA NA NA
## [6,] "sio2" "Al2o3" "Fe2O3" "MnO" "Na2O" "K2O" "P2O5" NA NA NA
## [7,] "sio2" "tio2" "Al2o3" "Fe2O3" "MnO" "Na2O" "K2O" "P2O5" NA NA
## [8,] "sio2" "Al2o3" "Fe2O3" "MgO" "CaO" "Na2O" "K2O" "P2O5" "Loi" NA
## [9,] "tio2" "Al2o3" "Fe2O3" "MnO" "MgO" "CaO" "Na2O" "K2O" "P2O5" "Loi"
</code></pre>
<pre><code class="r">options(width=80)
</code></pre>
<pre><code class="r">ggplot(data=data.frame(smelliecen.ldc,Phase=smelliecen$Phase)) +
geom_text(aes(x=LD1,y=LD2,label=Phase,col=Phase),size=3) +
ggtitle("LDA with all variables")
for(i in c(5,7,10)){
selvar <- smelliecen.eleaps$bestsets[i-1,]
selvar <- selvar[selvar!=0]+5
delme <- paste(names(smelliecen)[selvar], collapse=" ")
smelliecensub.lda <- lda(smelliecen[,selvar],grouping=smelliecen$Phase)
smelliecensub.ldc <- data.matrix(predict(smelliecensub.lda)$x)
smelliecensub.ldc <- data.frame(smelliecen[,1:5],smelliecensub.ldc)
print(ggplot(data=smelliecensub.ldc) +
geom_text(aes(x=LD1,y=LD2,label=Phase,col=Phase),size=3) +
ggtitle(paste("LDA with", delme)))
}
</code></pre>
<p><img 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" 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" 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" 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" 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