BIOSCIENCE BIOTECHNOLOGY RESEARCH COMMUNICATIONS STATISTICAL EVALUATION OF CHEMICAL AND BIOLOGICAL CONTAMINATION 89
Romina Rasuli Asl and Hossein Saadati
selecting the common parameters at the later stage, it
was acted to group comparisons based on common vari-
ables. So that it was acted to investigate the presence or
absence of signi cant difference between the three main
branches of Yamchi Dam ie Nir, Lai and Jurab using mul-
tivariate analysis of variance, at this stage the presence
or absence of difference between the three stations is
determined. After this stage, it was acted to group aver-
ages of the variables among three stations and it became
clear which of the variables of these three groups are
different. In the next step, it was acted to compare the
amount of shared variables with standard value using
One Sample T-test; the purpose of this step is to identify
the most polluted river of the main branches of Yam-
chi Dam. In this study, a sample T-test hypotheses are:
1. The null hypothesis: The value of investigated vari-
ables is in permitted range. 2. Hypothesis: The value of
investigated variables is not in permitted range. Finally,
to determine the trend of changes of data and identify
the type and time of it, it was acted to analyze the trend
of time series using Mann-Kendall non-parametric test,
and the presence or absence of changes was speci ed.
Kolmogorov-Smirnov test was used to assess the
normality of variables. Determining the appropriateness
of data was performed using the KMO index and
Bartlett test, in components analysis, maximum equity
(Eigenvalue) belongs to the rst component (Pc1) and
gradually by increasing class of components, this
amount decreases. It should be noted in this method, each
component is independent of other components (Yao et
al., 2013). Each component is a linear combination of
variables that its equation can be shown as equation 3-1
(Jolliffe, 1986).
In this equation, PC is the main component, is the coef-
cient or special vector (Eigen Vector) and is variable
considered (Jolliffe, 1986). In order to select the number
of effective components, components were selected that
their Eigenvalue was more than one. To interpret the
effective features in a component that controls the most
changes, selection criteria was used (Doran and Parkin,
1994).
In this equation, SC is selection criteria, PC is the main
component and Eigenvalue is the special value (Doran
and Parkin, 1994). After identifying the most in uen-
tial variables in each station by considering the common
base among the main station variables, variables that
were present in all three stations were selected as the
major variables in qualitative studies of upstream water
of Yamchi Dam. All statistical analyzes were conducted
in SPSS v.20 software.
In this study, the method of multivariate analysis of
variance was used to investigate the signi cant differ-
ence between the variables of factor analysis (including
ve variables of bicarbonate, sodium, DO, BOD and fecal
coliform) in three main branches of Yamchi Dam (Nir,
Lai and Jurab).
Among the groups after the signi cant difference
among the main branches of Yamchi Dam was approved
then, using Duncan method from grouping methods of
averages, it was acted to identify the different variables
in the three branches.
In order to understand the trend of changes of data
and identify the type and time of it, it was acted to
analyze the time series using the Mann-Kendall non-
parametric test and the presence or absence of changes
was speci ed. In this study, the graphical method of
Mann - Kendall test was used. About the graphical
method, mentioning points about the statistic U and U
‘is necessary. If the sequence U and U ‘ based on i is
drawn as a graph, in the signi cance mode of the trend,
two graphs at the starting point of phenomena outside
the scope intersect each other and will move in opposite
direction of each other, this point of collision is called
mutation. While if there isn’t trend, two sequences U and
U ‘move almost in parallel or will act in several times of
collision, so that does not lead to change direction. U
graph to the year (axis X) is drawn and for that signi -
cance of trend and point of its mutation to be achieved,
the sequence U ‘is de ned.
RESULTS AND DISCUSSION
Principal components analysis (PCA) was used in
order to determine the minimum effective variables in
investigating qualitative changes of upstream water of
Yamchi Dam (main branches of Nir, Lay and Jurabchay).
First KMO factor was used in determining the suitability
of the data for principal components analysis to achieve
this goal. The value of this factor is always variable
between zero and one. If the value of this ratio is less
than 0.5, the data will not be suitable for factor analysis
and if its value is between 0.5 to 0.69, it can be analyzed
main components more carefully. If KMO coef cient is
larger than 0.7, principal components analysis in the
decrease of data will be effective (Jolliffe, 1986). As well
as to ensure correlation between input variables or inde-
pendent, Bartlett’s test was used. Based on the results,
KMO coef cients in three main branches of Nir, Lai and
Jurabchay was obtained 0.769, 0.782 and 0.724 respec-
tively that the amount con rms the correlation between
input variables for principal components analysis. Bar-