Exemples
ACP avec variables illustratives
ctr
ctr
ctr
Dist
cos2
Dim.1
Dim.2
|
|
|
|
|
|
Dim.2
1.333
Dim.4
0.084
1.200
Dim.1
4.744
67.767
67.767
Dim.3
Dim.5
0.820
0.019
0.274
19.047 11.712
86.814 98.526 99.726 100.000
cos2
cos2
3.029 | -2.984 31.288 0.970 | -0.082 0.085 0.001
0.886 2.761 0.201 | -1.715 36.771 0.753
1.976 |
2.595 |
1.937 13.182 0.557 | 0.040 0.020 0.000
2.094 | -1.896 12.631 0.820 | -0.834 8.686 0.158
3.186 35.660 0.823 | 0.589 4.335 0.028
3.512 |
2.338 | -1.129 4.479 0.233 | 2.002 50.102 0.733
Dim.3
2.254 0.012 |
| -0.333
0.154 0.002 |
| -0.087
1.710 59.450 0.434 |
|
| -0.154
0.481 0.005 |
| -1.345 36.774 0.147 |
0.887 0.008 |
|
##
Call:
PCA(X = orange, quanti.sup = 8:14, quali.sup = 15:16, graph = FALSE)
##
##
Eigenvalues
##
Variance
% of var.
Cumulative % of var.
##
Individuals
##
Pampryl amb.
Tropicana amb.
Fruvita fr.
Joker amb.
Tropicana fr.
Pampryl fr.
##
Pampryl amb.
Tropicana amb.
Fruvita fr.
Joker amb.
Tropicana fr.
Pampryl fr.
##
Variables
Dim.3
Dim.1
##
4.452 0.211 | 0.754 42.694 0.569 | -0.468
0.460
Odour.intensity
0.985 20.468 0.971 | 0.134 1.350 0.018 | -0.058
Odour.typicality
0.722 10.977 0.521 | 0.617 28.519 0.380 | 0.298
Pulpiness
8.902 0.422 | 0.429 13.797 0.184 | 0.626
Intensity.of.taste | -0.650
| -0.913 17.561 0.833 | 0.348 9.100 0.121 | -0.021
Acidity
| -0.935 18.420 0.874 | 0.188 2.651 0.035 | -0.285
Bitterness
0.955 19.220 0.912 | -0.159 1.889 0.025 | 0.187
|
Sweetness
ctr
##
26.771
Odour.intensity
0.417
Odour.typicality
Pulpiness
10.826
Intensity.of.taste 47.747
0.056
Acidity
9.936
Bitterness
Sweetness
4.246
##
Supplementary continuous variables
cos2
##
cos2
0.219 |
0.003 |
0.089 |
0.391 |
0.000 |
0.081 |
0.035 |
Dim.3
0.209
Publicité
Dim.2
Dim.2
Dim.1
cos2
cos2
cos2
cos2
|
|
|
ctr
ctr
1
| -0.572
| -0.561
0.750
|
0.301
|
|
0.880
| -0.739
| -0.045
Glucose
Fructose
Saccharose
Sweetening.power
pH
Citric.acid
Vitamin.C
##
Supplementary categories
##
Ambient
Fresh
Florida
Other
##
Ambient
Fresh
Florida
Other
0.328 | 0.311 0.097 | 0.026 0.001 |
0.315 | 0.315 0.099 | -0.008 0.000 |
0.563 | 0.145 0.021 | 0.325 0.105 |
0.090 | 0.675 0.455 | 0.490 0.240 |
0.774 | -0.236 0.056 | 0.194 0.037 |
0.547 | -0.122 0.015 | -0.196 0.038 |
0.002 | -0.317 0.100 | -0.255 0.065 |
Dist
|
|
|
|
Dim.1
Dim.2
cos2 v.test
cos2 v.test
1.606 | -1.331 0.687 -1.367 | -0.877 0.298 -1.698
1.331 0.687 1.367 | 0.877 0.298 1.698
1.606 |
2.038 |
2.003 0.966 2.056 | -0.362 0.032 -0.701
2.038 | -2.003 0.966 -2.056 | 0.362 0.032 0.701
Dim.3
| -0.191
0.191
|
|
0.093
| -0.093
cos2 v.test
0.014 -0.472 |
0.014 0.472 |
0.002 0.229 |
0.002 -0.229 |
correlation p.value
0.00
0.99
0.00
0.95
0.02
0.88
0.01
-0.91
0.01
-0.93
$Dim.1
$Dim.1$quanti
##
Odour.typicality
Sweetness
pH
Acidity
Bitterness
##
$Dim.1$quali
##
Origin 0.85
##
$Dim.1$category
##
Florida
Other
##
##
$Dim.3
list()
R2 p.value
0.01
Estimate p.value
0.01
2
0.01
-2
2
Individuals factor map (PCA)
Pampryl fr.
Other
Pampryl amb.
Joker amb.
Ambient
(-1.33, -0.87)
Fresh
Tropicana fr.
Fruvita fr.
Florida
Tropicana amb.
−4
−2
Publicité
0
2
4
Dim 1 (67.77%)
Variables factor map (PCA)
Odour.intensity
Odour.intensity
Odour.intensity
Odour.intensity
Odour.intensity
Odour.intensity
Odour.intensity
Odour.intensity
Odour.intensity
Pulpiness
Pulpiness
Pulpiness
Pulpiness
Pulpiness
Pulpiness
Pulpiness
Pulpiness
Pulpiness
Sweetening.power
Sweetening.power
Sweetening.power
Sweetening.power
Sweetening.power
Sweetening.power
Sweetening.power
Sweetening.power
Sweetening.power
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Intensity.of.taste
Acidity
Acidity
Acidity
Acidity
Acidity
Acidity
Acidity
Acidity
Acidity
Bitterness
Bitterness
Bitterness
Bitterness
Bitterness
Bitterness
Bitterness
Bitterness
Bitterness
Fructose
Fructose
Fructose
Fructose
Fructose
Fructose
Fructose
Fructose
Fructose
Glucose
Glucose
Glucose
Glucose
Glucose
Glucose
Glucose
Glucose
Glucose
Saccharose
Saccharose
Saccharose
Saccharose
Saccharose
Saccharose
Saccharose
Saccharose
Saccharose
Odour.typicality
Odour.typicality
Odour.typicality
Odour.typicality
Odour.typicality
Odour.typicality
Odour.typicality
Odour.typicality
Odour.typicality
Citric.acid
Citric.acid
Citric.acid
Citric.acid
Citric.acid
Citric.acid
Citric.acid
Citric.acid
Citric.acid
pH
pH
pH
pH
pH
pH
pH
pH
pH
Sweetness
Sweetness
Sweetness
Sweetness
Sweetness
Sweetness
Sweetness
Sweetness
Sweetness
Vitamin.C
Vitamin.C
Vitamin.C
Vitamin.C
Vitamin.C
Vitamin.C
Vitamin.C
Vitamin.C
Publicité
Vitamin.C
)
%
5
0
.
9
1
(
2
m
D
i
)
%
5
0
.
9
1
(
2
m
D
i
2
1
0
1
−
2
−
0
.
1
5
.
0
0
.
0
5
.
0
−
0
.
1
−
−2
−1
0
1
2
Dim 1 (67.77%)
Classification Hiérarchique sur Composantes Principales:
##
3
Eta2
p.value df
2
Link between the cluster variable and the categorical variables (chi-square test)
=================================================================================
##
Origin 0.04978707
##
Description of each cluster by the categories
=============================================
NULL
##
Link between the cluster variable and the quantitative variables
================================================================
P-value
##
0.9509098 0.01087657
Acidity
pH
0.9346280 0.01671430
Sweetness 0.9123780 0.02593701
##
Description of each cluster by quantitative variables
=====================================================
$1
##
Acidity
Bitterness
Sweetness
pH
##
Acidity
Bitterness
Sweetness
pH
##
$2
NULL
##
$3
NULL
v.test Mean in category Overall mean sd in category
0.10708252
0.17907168
0.12472191
0.04027682
p.value
0.3814191 0.03082283
0.4221933 0.03804319
0.3036262 0.03270249
0.1201966 0.03240382
2.159353
2.074389
-2.135717
-2.139393
Overall sd
3.170000
2.720000
2.766667
3.623333
2.801667
2.328333
3.056667
3.738333
Eta2
##
Link between the cluster variable and the quantitative variables
================================================================
##
P-value
Dim.1 0.9195549 0.02281653
##
Publicité
Description of each cluster by quantitative variables
=====================================================
$1
##
Dim.1 -2.056489
##
p.value
Dim.1 0.03973537
##
$2
NULL
##
$3
0.7611089
v.test Mean in category Overall mean sd in category Overall sd
2.178002
-2.003087 -1.720846e-15
4
NULL
Cluster Dendrogram
4
2
0
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h
g
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H
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Cluster plot
Pampryl fr.
)
%
9
1
(
2
m
D
i
Pampryl amb.
0
Joker amb.
−1
Fruvita fr.
Tropicana fr.
cluster
a
a
a
1
2
3
Tropicana amb.
−2
0
Dim1 (67.8%)
2
5