Methodology: Statistical tests. Back to first page Previous Next
Dr D. Rokos, I. Galanos
Two routes were taken to analyze quantitatively the relationship between the yield of a spring and its location relative to the position of a remotely sensed lineament or to a function of the spatial distribution of lineaments.
  • The springs were considered in terms of their average discharge and were  compared to their lineament variables: distance of separation, density, frequency, intersection frequency, relative entropy and angular atypicality. Parametric (Pearson's Product Moment Correlation) and nonparametric (Spearman's Rank Correlation) tests were performed to give an estimate of the correlation between the yield and the lineament variables.
  • To determine whether there was significant difference between the lineament variables of high-yielding springs and those of low-yielding springs the Mann-Whitney Wilcoxon Signed Ranks Test was applied.

 
An example of the circular neigourhood of a spring and the lineaments occuring in it
ID
Discharge

(m3/h)
Frequency
Density

(m)
Av. length

(m)
Angular atypicality
Relative entropy
Number of different orientation classes
1
20
16
21999.4
1374.9
12.5%
64.45
7
2
10
14
18904.9
1350.3
28.6%
72.32
8
3
12.5
16
20713.3
1294.5
31.3%
75.00
9
4
6.5
15
21289.1
1419.2
40.0%
86.35
11
5
6.5
15
19629.9
1308.6
40.0%
74.82
9
12
40
18
16893.4
938.5
55.6%
82.00
12
17
12.5
15
15444.8
1029.6
40.0%
76.95
9
20
12.5
15
18298.8
1219.9
66.7%
76.11
9
21
31
10
11818.8
1181.8
50.5%
87.96
8
22
20
16
15642.4
977.6
31.3%
75.00
9
23
6
17
17531.5
1031.2
47.1%
84.52
12
28
20
20
22019.8
1100.9
35.0%
77.43
11
31
7.5
18
19692.2
1094.0
27.8%
75.53
11
33
3.5
18
21255.9
1180.8
50.0%
83.01
12
34
20
13
13456.0
1035.0
61.5%
71.92
7
36
4.5
13
10516.6
808.9
46.2%
77.64
8
37
4.5
16
11774.3
735.8
43.8%
80.07
10
38
4.5
14
11422.0
815.8
42.9%
83.58
10
39
8
12
20919.5
1743.3
08.3%
79.65
8
40
30
16
17475.1
1092.2
18.8%
73.53
8
41
15
14
15817.4
1129.8
28.6%
84.99
10
42
13
17
18140.5
1007.8
38.9%
75.89
10
44
8
11
5976.9
543.3
45.5%
69.75
6
45
7.5
10
13032.7
1303.2
20.5%
75.92
6
46
30
9
14186.9
1418.6
30.0%
76.32
6
47
25
15
16428.0
1095.2
66.7%
78.24
9
51
10
14
16839.9
1202.8
42.9%
88.74
11
52
10
14
19357.7
1382.6
42.9%
83.58
11
For each one of the 28 springs the distance to the nearest lineament was  calculated and also the frequency, density, average length, angular atypicality, relative entropy and the number of different orientation classes of the lineaments that occurred within  a 1500m radius of the spring coordinates. 
The map above shows the circular area or neighborhood of spring with id 1 and the lineaments occurring within it. 
The table shows the information calculated for each one of the 28 springs. 
The data were analyzed, and in addition to the statistical tests, scatter plots, diagrams and rosediagrams were generated to present the data graphically.
From these tests it appears that there is a significant relationship between increased spring yield and 
  • short distances of separation from a lineament, 
  • low relative entropy and
  • small number of different orientation classes occurring within the neighborhood  of the spring.
    •

    Exploratory statistical analysis of the data referring to each spring's distance of separation from nearest remote sensed lineament.

    Scatterplot of discharge against distance of separation