Scinovex

Research article · 2017 · Full text

International Journal of Statistics and Applied Mathematics

Detection of adulteration of coconut oil using Fourier transform infrared spectroscopy and chemometrics

Pandurangan MkSugeerth MurugesanN ShettuGajivaradhan

Volume 2(6) · Pages 46–51

Research areasSpectroscopy and Chemometric AnalysesCoconut Research and ApplicationsEdible Oils Quality and Analysis

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Abstract

Author-written

Virgin coconut oil may be adulterated with cheaper oils, such as palm oil and mustard oil. The detection and quantification of virgin coconut oil adulteration with palm oil and mustard oil were monitored using Fourier transform infrared spectroscopy, combined with chemometrics of Principle component analysis, Hierarchical cluster analysis and Discriminant analysis of frequency regions of 4000-400cm-1. The principal component analysis, hierarchical cluster analysis and discriminant analysis using two principal components were able to classify virgin coconut oil and the same adulterated with palm oil and mustard oil.

Summary

Source-checked

Plain-language reading of the full paper, prepared with AI and checked against the text. Each point links to the authors' own words.

  1. Why it matters

    • Oil adulteration occurs when expensive oils are replaced with cheaper alternatives, either intentionally or by accident. View evidence ↗

      Why it matters

      Oil adulteration occurs when expensive oils are replaced with cheaper alternatives, either intentionally or by accident.

      In the paper's own words

      “The adulteration is sometimes acted deliberately and sometimes accidentally (Shukla et al., 2005) [10] which involves the replacement of high price oils with cheaper ones.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
    • Detecting adulteration is difficult when the additive has a chemical composition similar to the original oil. View evidence ↗

      Why it matters

      Detecting adulteration is difficult when the additive has a chemical composition similar to the original oil.

      In the paper's own words

      “The adulteration of fats and oils is not easy to detect when the oil adulterant has a composition approaching to that of the original oil (Rossell et al., 1983) [9].”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
    • Traditional detection methods like chromatography and wet chemistry are laborious and slow, creating a need for faster, more sensitive alternatives. View evidence ↗

      Why it matters

      Traditional detection methods like chromatography and wet chemistry are laborious and slow, creating a need for faster, more sensitive alternatives.

      In the paper's own words

      “Most initial researches conducted to analyze the oil adulterant, involved time consuming and laborious processes such as wet chemical methods and chromatography techniques. Therefore, there is a demand to develop rapid and sensitive method for detecting and quantifying the adulterants.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
  2. The question

    • The study aims to use FTIR spectroscopy and chemometric tools (PCA, HCA, and discriminant analysis) to quantify and classify the adulteration of coconut oil with palm and mustard oils. View evidence ↗

      The question

      The study aims to use FTIR spectroscopy and chemometric tools (PCA, HCA, and discriminant analysis) to quantify and classify the adulteration of coconut oil with palm and mustard oils.

      In the paper's own words

      “Therefore, this study is directed to analyze the deduction of the adulteration of coconut oil with palm oil and mustard oil using chemometrics of principal component analysis, hierarchical cluster analysis and discriminant analysis for quantification and classification.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
  3. What they did

    • Virgin coconut oil was blended with palm oil and mustard oil at concentrations of 5%, 10%, and 15% v/v. View evidence ↗

      What they did

      Virgin coconut oil was blended with palm oil and mustard oil at concentrations of 5%, 10%, and 15% v/v.

      In the paper's own words

      “The virgin coconut oil was mixed with palm oil and mustard oil in different proportions i.e., 5, 10 and 15% v/v in the neat forms.”

      Page 1

      Found in: Sample Preparation

      Read it in the full textOpen PDF at page 1 ↗
    • Samples were analyzed via FTIR spectroscopy, and specific spectral regions showing variation between pure and adulterated oils were used for chemometric analysis. View evidence ↗

      What they did

      Samples were analyzed via FTIR spectroscopy, and specific spectral regions showing variation between pure and adulterated oils were used for chemometric analysis.

      In the paper's own words

      “All samples were analyzed using an FTIR spectrometer. The spectral regions where the variations were observed between the virgin coconut oil and the same adulterated with palm oil and mustard oil were chosen for developing the chemometric tools.”

      Page 1

      Found in: Sample Preparation

      Read it in the full textOpen PDF at page 1 ↗
    • The researchers used SPSS version 17.0 to perform Principal Component Analysis (PCA), Hierarchical Cluster Analysis (HCA), and Discriminant Analysis. View evidence ↗

      What they did

      The researchers used SPSS version 17.0 to perform Principal Component Analysis (PCA), Hierarchical Cluster Analysis (HCA), and Discriminant Analysis.

      In the paper's own words

      “Principal Component Analysis, Hierarchical Cluster Analysis and Discriminant Analysis were used for each blend with the respective training set samples by using the SPSS version 17.0.”

      Page 2

      Found in: Statistical analysis

      Read it in the full textOpen PDF at page 2 ↗
  4. What they found

    • The data was found to be adequate for factor analysis, with a Kaiser-Meyer-Olkin (KMO) measure of 0.805 and a Bartlett's value of 2066 (p=0.000). View evidence ↗

      What they found

      The data was found to be adequate for factor analysis, with a Kaiser-Meyer-Olkin (KMO) measure of 0.805 and a Bartlett's value of 2066 (p=0.000).

      In the paper's own words

      “The KMO measure indicates the marvelous level of coconut oil adulterant (0.805) and Barlett’s value of 2066 with a significance of 0.000.”

      Page 2

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 2 ↗
    • PCA revealed that two principal components could explain 99.73% of the total variance, with the first accounting for 89.55% and the second for 10.18%. View evidence ↗

      What they found

      PCA revealed that two principal components could explain 99.73% of the total variance, with the first accounting for 89.55% and the second for 10.18%.

      In the paper's own words

      “The first factor (component) accounts for 89.55% of the total variance and the second factor accounts for 10.18% of the variance. Hence, the total variance explained by these two factors accounts for 99.73%.”

      Page 2

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 2 ↗
    • Factor 1 grouped virgin coconut oil together with palm oil adulterants at 5%, 10%, and 15% levels, all showing a loading value of 0.963. View evidence ↗

      What they found

      Factor 1 grouped virgin coconut oil together with palm oil adulterants at 5%, 10%, and 15% levels, all showing a loading value of 0.963.

      In the paper's own words

      “In the present study, the samples of virgin coconut oil adulterated with palm oil 15% (with a loading value 0.963), palm oil 10% (with a loading value 0.963) and palm oil 5% (with a loading value 0.963) and the virgin coconut oil are associated and form into factor 1.”

      Page 3

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 3 ↗
    • Factor 2 specifically grouped the mustard oil adulterants (5% at 0.372; 10% and 15% at 0.375), separating them from the palm oil group. View evidence ↗

      What they found

      Factor 2 specifically grouped the mustard oil adulterants (5% at 0.372; 10% and 15% at 0.375), separating them from the palm oil group.

      In the paper's own words

      “In the second component, adulterants of virgin coconut oil with mustard oil 15% (with a loading value 0.375), mustard oil 10% (with a loading value 0.375 and mustard oil 5% (with a loading value 0.372) are grouped into factor 2 (Table.3).”

      Page 3

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 3 ↗
    • HCA results indicated that mustard oil adulteration is easily identified, while palm oil adulteration (specifically at 10%) is difficult to distinguish from pure coconut oil. View evidence ↗

      What they found

      HCA results indicated that mustard oil adulteration is easily identified, while palm oil adulteration (specifically at 10%) is difficult to distinguish from pure coconut oil.

      In the paper's own words

      “From the above results it is clear that mustard oil used as an adulterant with the coconut oil can easily be identified, whereas palm oil by 10% adulterated with the coconut oil is very difficult to identify.”

      Page 4

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 4 ↗
    • The dendrogram identified two natural groupings: Cluster A containing all mustard oil blends and Cluster B containing virgin coconut oil and all palm oil blends. View evidence ↗

      What they found

      The dendrogram identified two natural groupings: Cluster A containing all mustard oil blends and Cluster B containing virgin coconut oil and all palm oil blends.

      In the paper's own words

      “Cluster A comprises of mustard oil 10%, mustard oil 15% and mustard oil 5% Cluster B comprises of virgin coconut oil, palm oil 5%, palm oil 10% and palm oil 15%.”

      Page 4

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 4 ↗
    • Discriminant analysis correctly classified 36.5% of original cases and 7.7% of cross-validated cases. View evidence ↗

      What they found

      Discriminant analysis correctly classified 36.5% of original cases and 7.7% of cross-validated cases.

      In the paper's own words

      “Further, discrimination was successful in classifying 36.5% of original grouped cases correctly classified and 7.7% cross-validated grouped cases correctly classified (Tables.11& 12).”

      Page 5

      Found in: Principal Component Analysis

      Read it in the full textOpen PDF at page 5 ↗
  5. What it means

    • The authors conclude that combining FTIR spectroscopy with multivariate chemometrics is an effective, fast, and reliable strategy for detecting palm and mustard oil adulteration in virgin coconut oil. View evidence ↗

      What it means

      The authors conclude that combining FTIR spectroscopy with multivariate chemometrics is an effective, fast, and reliable strategy for detecting palm and mustard oil adulteration in virgin coconut oil.

      In the paper's own words

      “The present study reveals that the FTIR spectroscopy, in combination with the multivariate chemometric methods, represents an effective strategy for fast and reliable identification and detecting adulteration of virgin coconut oil with palm oil and mustard oil as a potential adulterant.”

      Page 6

      Found in: Conclusion

      Read it in the full textOpen PDF at page 6 ↗
    • The authors recommend that food organizations implement more reliable detection methods to ensure the purity of edible oils for consumers. View evidence ↗

      What it means

      The authors recommend that food organizations implement more reliable detection methods to ensure the purity of edible oils for consumers.

      In the paper's own words

      “The results of the present study... indicates a necessity for food related organizations to develop and utilize more reliable methods to detect such adulterations, which can make consumers and markets more certain on the authenticity and purity of edible oils.”

      Page 6

      Found in: Discriminant analysis

      Read it in the full textOpen PDF at page 6 ↗

Visual summary

3 visuals

Illustrations explain the paper; charts are replotted from the paper's own table values.

AI-generated illustration
AI-generated conceptual illustration (coconut oil, palm oil, and mustard oil in glass vials). It explains the idea and does not show study data.↗ Enlarge
Adulterant Grouping Concept
AI-generated conceptual illustration (coconut oil, palm oil, and mustard oil in glass vials). It explains the idea and does not show study data.

AI-generated conceptual illustration (coconut oil, palm oil, and mustard oil in glass vials). It explains the idea and does not show study data.

Open full-size image ↗

Adulterant Grouping Concept

AI-generated conceptual illustration (coconut oil, palm oil, and mustard oil in glass vials). It explains the idea and does not show study data.

View source evidence ↗
Replotted from source data
Replotted from Table 3 (page 3) of the original paper. Every bar is the paper's own table value.↗ Enlarge
Component: Palm oil 5% vs Palm oil 10% vs Palm oil 15% vs Virgin Coconut oil%
Replotted from Table 3 (page 3) of the original paper. Every bar is the paper's own table value.

Replotted from Table 3 (page 3) of the original paper. Every bar is the paper's own table value.

Open full-size image ↗

Component: Palm oil 5% vs Palm oil 10% vs Palm oil 15% vs Virgin Coconut oil%

Replotted from Table 3 (page 3) of the original paper. Every bar is the paper's own table value.

View source evidence ↗
Replotted from source data
Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.↗ Enlarge
% of Variance: 1 vs 2
Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.

Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.

Open full-size image ↗

% of Variance: 1 vs 2

Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.

View source evidence ↗

Figures & tables

From the original paper
Kaiser-Meyer-Olkin Measure of Sampling AdequacyTable 1Page 2Factor extraction and its relative varianceTable 2Page 2Factor loading structure of virgin coconut oil andTable 3Page 3Scree plot for adulterated oilsFigure 1Page 3Principal Component analysis (PCA) under varimax rotationFigure 2Page 3Agglomeration Schedule of virgin coconut oil adulterated with palm oil and mustard oilTable 4Page 4Mean value of spectral wave number of virgin coconut oil, palm oil and mustard oil adulterantsTable 5Page 4Dendrogram of edible oil data set showing two natural groupings using the single linkage method.Figure 3Page 4Eigen values and Wilks’ LambdaTable 6Page 5Tests of Equality of Group MeansTable 9Page 5Functions at Group centroidsTable 10Page 5Standardized Canonical Discriminant function CoefficientsTable 7Page 5Structure MatrixTable 8Page 5Classification function coefficientsTable 11Page 5Classification Results (a)Table 12Page 5
FULL TEXT Original article · reflowed for reading

Introduction

The adulteration is sometimes acted deliberately and sometimes accidentally (Shukla et al., 2005) [10] which involves the replacement of high price oils with cheaper ones. The adulteration of fats and oils is not easy to detect when the oil adulterant has a composition approaching to that of the original oil (Rossell et al., 1983) [9] . Most initial researches conducted to analyze the oil adulterant, involved time consuming and laborious processes such as wet chemical methods and chromatography techniques. Therefore, there is a demand to develop rapid and sensitive method for detecting and quantifying the adulterants. Fourier transform infrared (FTIR) spectroscopy combined with chemometric tools has received a great attention to be used in the quantitative analysis and to analyze virgin oils in the mixture with other edible oils (Che Man and Mirghani, 2001). In the case of studies of authentication, FTIR combined with chemometrics has been explored to detect adulterants such as lard in cod-liver oil (Rohman and Che Man, 2009a) [7] , palm oil (Rohman and Che Man, 2009b) [8] , and palm kernel oil (Manaf et al., 2007) [6] in virgin coconut oil, sunflower, corn, soybean, and hazelnut oils (Lerma et al., 2010) [5] , corn oil (Gurdeniz and Ozen, 2009) [3] , and sunflower oil (Downey et al., 2002) [2] in extra virgin olive oil (EVOO), soybean oil in camellia oil (Wang et al., 2006) [12] , and some vegetable oils in olive oil (Tay et al., 2002) [11] . Therefore, this study is directed to analyze the deduction of the adulteration of coconut oil with palm oil and mustard oil using chemometrics of principal component analysis, hierarchical cluster analysis and discriminant analysis for quantification and classification.

Materials and Methods

Materials and Methods

Sample Preparation

Vegetable oils, such as virgin coconut oil, palm oil and mustard oil were purchased from the local market. The virgin coconut oil was mixed with palm oil and mustard oil in different proportions i.e., 5, 10 and 15% v/v in the neat forms. To complete the homogenization, these mixtures were shaken vigorously. All samples were analyzed using an FTIR spectrometer. The spectral regions where the variations were observed between the virgin coconut oil and the same adulterated with palm oil and mustard oil were chosen for developing the chemometric tools.

Statistical analysis

For each adulterant a different set of samples containing three concentration levels of adulterant, were used for calibration; the corresponding admixtures were used for validation. Principal Component Analysis, Hierarchical Cluster Analysis and Discriminant Analysis were used for each blend with the respective training set samples by using the SPSS version 17.0.

Principal Component Analysis

Before proceeding with the factor analysis of the present data, the adequacy test was applied. The rule of thumb, index, provided by the Kaiser measure of sampling adequacy was applied to acquire a rough idea of whether the data are adequate for the technique or not. The following table.1 provides the KMO index for the virgin coconut oil with adulterants of palm oil and mustard oil. The KMO measure indicates the marvelous level of coconut oil adulterant (0.805) and Barlett's value of 2066 with a significance of 0.000. Hence, the factor analysis was carried out further to differentiate against adulterants. The first factor (component) accounts for 89.55% of the total variance and the second factor accounts for 10.18% of the variance. Hence, the total variance explained by these two factors accounts for 99.73%. So only a meager 0.264% of variance was not explained with the remaining components.

In order to confirm the initial factors extracted in the principal component analysis, the rotation was carried out using VARIMAX rotation. After the initial factor extraction, the varimax rotation was carried out and the results show that, even in this face, only two component models were exhibited with an eigenvalue of 3.791 and 3.191 with the percentage of variance of 54.15% for the first component and 45.57% for the second component (Table .2). Hence, the total variance explained by these two component accounts for 99.73%.

Therefore, it can be stated that using principal component analysis, the variables of spectral data can be described by the principal components because the first two principal components can describe more than 90% of the variation. The scree plot (Fig. 1) indicates clear identification of only two components. It can be concluded that FTIR spectral data in combination with chemometrics of principal component analysis can be exploited for differentiation and classification of virgin coconut oil from their adulterants. From the scatter points, the samples could be classified into two groups, indicating a clear differentiation between adulterations blended with virgin coconut oil at different proportions. After identifying the number of factors, the variables included in each factor are distinguished. The factor loadings are considered as the best measure to include variables into factors. The factor loading is considered to be the best method associated with a specific factor and a specific state and it is simply the correlation between the factor and the statement's standardized score. The table shows the factor loading on the 7 variables (Table . 3). The factor -matrix pattern reflects a reasonably clear loading structure. Reference groups can be very potent and influential. In the present study, the samples of virgin coconut oil adulterated with palm oil 15% (with a loading value 0.963), palm oil 10% (with a loading value 0.963) and palm oil 5% (with a loading value 0.963) and the virgin coconut oil are associated and form into factor 1. In the second component, adulterants of virgin coconut oil with mustard oil 15% (with a loading value 0.375), mustard oil 10% (with a loading value 0.375 and mustard oil 5% (with a loading value 0.372) are grouped into factor 2 (Table .3). This clearly indicates that in the case of coconut oil, the FTIR spectral data of the palm oil adulterants did not show any significant difference, whereas, the mustard oil adulterants of 5, 10 and 15% with the coconut oil will not come closer to the earlier factor.

Figure 1. Scree plot for adulterated oils
Scree plot for adulterated oils↗ Enlarge
Figure 1
Scree plot for adulterated oils

Scree plot for adulterated oils

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Original paper figureSource PDF · page 3 ↗

The factor matrix pattern also reflects the reasonable clear loading structure which is given in Fig. 2. Two factor exhibits combining virgin coconut oil and palm oil of different percentage as an isolated factor. These coefficients depend on the method which is chosen for forming the cluster. The graphical presentation of the hierarchical clustering results (Fig. 3) can be represented in the form of a dendrogram, where two clusters can be identified. Since the distance is very close, only two major visible clusters are formed which were termed as cluster A and cluster B.

Figure 3. Dendrogram of edible oil data set showing two natural groupings using the single linkage method.
Dendrogram of edible oil data set showing two natural groupings using the single linkage method.↗ Enlarge
Figure 3
Dendrogram of edible oil data set showing two natural groupings using the single linkage method.

Dendrogram of edible oil data set showing two natural groupings using the single linkage method.

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Original paper figureSource PDF · page 4 ↗
Figure 2. Principal Component analysis (PCA) under varimax rotation
Principal Component analysis (PCA) under varimax rotation↗ Enlarge
Figure 2
Principal Component analysis (PCA) under varimax rotation

Principal Component analysis (PCA) under varimax rotation

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Original paper figureSource PDF · page 3 ↗

The hierarchical cluster analysis, at the distance of oils can be grouped as follows:

Cluster A comprises of mustard oil 10%, mustard oil 15% and mustard oil 5% Cluster B comprises of virgin coconut oil, palm oil 5%, palm oil 10% and palm oil 15%.

The dendrogram shows that the samples of palm oil 15% clustered with palm oil 10% forms into a homogenous cluster.

At the second cluster level, the virgin coconut oil is clustered with palm oil 5% level and the other clusters are with the long distance (Fig. 3). The dendrogram shows that the virgin coconut oil is quite homogeneous. From the above results it is clear that mustard oil used as an adulterant with the coconut oil can easily be identified, whereas palm oil by 10% adulterated with the coconut oil is very difficult to identify. Detection of such natural groupings suggests that discrimination between at least some of them may be possible. Hence, blending of palm oil with coconut oil as an adulterant is hard to find with the help of the spectral data.

Dendrogram using Single Linkage

Dendrogram using Single Linkage

Discriminant analysis

The edible oil variable is independent of the study that comprises of two factors, namely virgin coconut oil and adulterants namely palm oil and mustard oil. From this output; we can see that virgin coconut oil, palm oil and mustard oil differ noticeably from group to group. One attribute of edible oil construct representing the virgin coconut oil. Meanwhile the adulterants contain three attributes as follows; palm oil consists of three attributes, namely palm oil 5%, palm oil 10% and palm oil 15% in proportion and the mustard oil consist of three attributes, namely mustard oil 5%, mustard oil 10% and mustard oil 15% in different proportion.

The dependent variable for the present study is the adulterant which consists of three categories 5%, 10% and 15% in different proportions.

In order to determine whether the edible oils are capable for subsequent analysis, the results of the present study based on Multiple Discriminant analysis on edible oil are discussed below.

Conclusion

The present study reveals that the FTIR spectroscopy, in combination with the multivariate chemometric methods, represents an effective strategy for fast and reliable identification and detecting adulteration of virgin coconut oil with palm oil and mustard oil as a potential adulterant. Chemometrics combined with FT-IR spectroscopy proved to be an excellent method for quality control of coconut oil and identifying substances by providing unique fingerprint spectra in classifying oils and detecting adulteration of palm oil and mustard oil. The results of the present study, which concluded with the detection of oils using FTIR spectral data and chemometric analysis indicates a necessity for food related organizations to develop and utilize more reliable methods to detect such adulterations, which can make consumers and markets more certain on the authenticity and purity of edible oils.

Figures and tables from the paper

Table 1. Kaiser-Meyer-Olkin Measure of Sampling Adequacy
Kaiser-Meyer-Olkin Measure of Sampling Adequacy0.805
Bartlett's Test of Sphericity Approx. Chi-Square2066.00
df21
Sig.0.000

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Kaiser-Meyer-Olkin Measure of Sampling Adequacy↗ Enlarge
Table 1
Kaiser-Meyer-Olkin Measure of Sampling Adequacy

Kaiser-Meyer-Olkin Measure of Sampling Adequacy

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Original paper tableSource PDF · page 2 ↗
Table 2. Factor extraction and its relative variance
Factor extraction and its relative variance↗ Enlarge
Table 2
Factor extraction and its relative variance

Factor extraction and its relative variance

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Original paper figureSource PDF · page 2 ↗
Table 3. Factor loading structure of virgin coconut oil and
—Component—
12
Palm oil 5%0.963-0.267
Palm oil 10%0.963-0.267
Palm oil 15%0.963-0.268
Virgin Coconut oil%0.953-0.281
Mustard oil 5%0.9280.372
Mustard oil 15%0.9270.375
Mustard oil 10%0.9270.375
Total3.7913.191
% of variance54.15745.579
Cumulative %54.15799.736

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Factor loading structure of virgin coconut oil and↗ Enlarge
Table 3
Factor loading structure of virgin coconut oil and

Factor loading structure of virgin coconut oil and

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Original paper tableSource PDF · page 3 ↗
Table 4. Agglomeration Schedule of virgin coconut oil adulterated with palm oil and mustard oil
StageCluster Combined—CoefficientsStage Cluster First Appears—Next Stage
Cluster 1Cluster 2Cluster 1Cluster 2
16730.820004
2122947.706003
31321577.584205
45689948.563016
514999395.736306
615180200000.00540

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Agglomeration Schedule of virgin coconut oil adulterated with palm oil and mustard oil↗ Enlarge
Table 4
Agglomeration Schedule of virgin coconut oil adulterated with palm oil and mustard oil

Agglomeration Schedule of virgin coconut oil adulterated with palm oil and mustard oil

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Original paper tableSource PDF · page 4 ↗
Table 5. Mean value of spectral wave number of virgin coconut oil, palm oil and mustard oil adulterants
Group—MeanStd. DeviationValid N (list wise)—
UnweightedWeighted
CoconutPercent52582.57997.1045252.000
Percent102582.57997.1045252.000
Percent152582.57997.1045252.000
PalmPercent52517.911052.5615252.000
Percent102580.15996.4455252.000
Percent152563.79989.2595252.000
MustardPercent52596.321014.7505252.000
Percent102590.511011.4765252.000
Percent152590.661011.6475252.000
TotalPercent52565.601015.700156156.000
Percent102584.41995.225156156.000
Percent152579.01992.975156156.000

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Mean value of spectral wave number of virgin coconut oil, palm oil and mustard oil adulterants↗ Enlarge
Table 5
Mean value of spectral wave number of virgin coconut oil, palm oil and mustard oil adulterants

Mean value of spectral wave number of virgin coconut oil, palm oil and mustard oil adulterants

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Original paper tableSource PDF · page 4 ↗
Table 6. Eigen values and Wilks’ Lambda
FunctionEigenvalue% of VarianceCumulative %Canonical CorrelationWilks' LambdaChi-squaredfSig.
1.022a99.899.8.148.9783.3736.761
2.000a.2100.0.0061.000.0052.997

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Table 6
Eigen values and Wilks’ Lambda

Eigen values and Wilks’ Lambda

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Table 9. Tests of Equality of Group Means
—Wilks' LambdaFSig.
Percent5.999.087.916
Percent101.000.002.998
Percent151.000.010.990

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Table 9
Tests of Equality of Group Means

Tests of Equality of Group Means

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Table 10. Functions at Group centroids
GroupFunction—
12
Coconut oil.096-.007
Palm oil-.209.000
Mustard oil.114.007

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Table 10
Functions at Group centroids

Functions at Group centroids

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Table 7. Standardized Canonical Discriminant function Coefficients
—Function—
12
Percent52.8262.005
Percent10-10.7676.582
Percent158.093-8.011

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Table 7
Standardized Canonical Discriminant function Coefficients

Standardized Canonical Discriminant function Coefficients

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Table 8. Structure Matrix
—Function—
12
Percent5.224.656*
Percent10.021.528*
Percent15.074.473*

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Structure Matrix↗ Enlarge
Table 8
Structure Matrix

Structure Matrix

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Table 11. Classification function coefficients
—Group——
Coconut oilPalmoilMustard oil
Percent5.001.000.001
Percent10.000.003.000
Percent15.002.000.002
(Constant)-4.452-4.418-4.477

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Table 11
Classification function coefficients

Classification function coefficients

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Table 12. Classification Results (a)
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Table 12
Classification Results (a)

Classification Results (a)

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References

10 in the original paper
  1. Che Man YB, Syahariza ZA, Mirghani MES, Jinap S, Bakar J. Analysis of potential lard adulteration in chocolate and chocolate products using Fourier transform infrared spectroscopy. Food Chemistry. 2005; 90:815819.
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