Appropriate test for interval and ratio data.
Calculate the data below using the Kruskal - Wallis Nonparametric Hypothesis Test. Explain why you chose this particular nonparametric test to analyze your data.
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ANOVA beginnings for population size 30
|
|
Y = Exports
|
|
|
Group 1 = n1
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Group 2 = n2
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Group 3 = n3
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Small Area
|
Medium Area
|
Large Area
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|
0 - 39,999 KM
|
40,000 - 499,999 KM
|
500,000 plus KM
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|
n1 = 13
|
n2 = 8
|
n3 = 9
|
|
1.24
|
50.8
|
325
|
|
28.3
|
7.44
|
32.8
|
|
0.155
|
63.2
|
19.6
|
|
0.881
|
25.2
|
26.5
|
|
3.55
|
2
|
43.1
|
|
0.587
|
15.8
|
69
|
|
9.22
|
44.4
|
55.1
|
|
3.13
|
578
|
232
|
|
38
|
|
272.3
|
|
2.37
|
|
|
|
23.1
|
|
|
|
15.95
|
|
|
|
181.4
|
|
|
|
Country
|
Area (KM)
|
Exports
|
Category
|
|
French Guiana
|
91
|
0.155
|
small
|
|
Guyana
|
215
|
0.587
|
small
|
|
Suriname
|
163
|
0.881
|
small
|
|
Cyprus
|
9
|
1.24
|
small
|
|
Iceland
|
103,000
|
2
|
medium
|
|
Bolivia
|
1,098
|
2.37
|
small
|
|
Paraguay
|
407
|
3.13
|
small
|
|
Uruguay
|
176
|
3.55
|
small
|
|
Estonia
|
45,226
|
7.44
|
medium
|
|
Ecuador
|
283
|
9.22
|
small
|
|
Greece
|
131,940
|
15.8
|
medium
|
|
Peru
|
1,285
|
15.95
|
small
|
|
Algeria
|
2,381,740
|
19.6
|
large
|
|
Columbia
|
1,139
|
23.1
|
small
|
|
Hungary
|
93,030
|
25.2
|
medium
|
|
Argentina
|
2,766,890
|
26.5
|
large
|
|
Czech Republic
|
79
|
28.3
|
small
|
|
Venezuela
|
912,050
|
32.8
|
large
|
|
Chile
|
757
|
38
|
small
|
|
India
|
3,287,590
|
43.1
|
large
|
|
Finland
|
337,030
|
44.4
|
medium
|
|
Denmark
|
43,094
|
50.8
|
medium
|
|
Brazil
|
8,511,965
|
55.1
|
large
|
|
Austria
|
83,858
|
63.2
|
medium
|
|
Australia
|
7,686,850
|
69
|
large
|
|
Belgium
|
30,510
|
181.4
|
small
|
|
China
|
9,596,960
|
232
|
large
|
|
Canada
|
9,976,140
|
272.3
|
large
|
|
France
|
547,030
|
325
|
large
|
|
Germany
|
357,021
|
578
|
medium
|
|
Small
|
Rank
|
Medium
|
Rank
|
Large
|
Rank
|
|
1.24
|
4
|
50.8
|
22
|
325
|
29
|
|
28.3
|
17
|
7.44
|
9
|
32.8
|
18
|
|
0.155
|
1
|
63.2
|
24
|
19.6
|
13
|
|
0.881
|
3
|
25.2
|
15
|
26.5
|
16
|
|
3.55
|
8
|
2
|
5
|
43.1
|
20
|
|
0.587
|
2
|
15.8
|
11
|
69
|
25
|
|
9.22
|
10
|
44.4
|
21
|
55.1
|
23
|
|
3.13
|
7
|
578
|
30
|
232
|
27
|
|
38
|
19
|
|
|
272.3
|
28
|
|
2.37
|
6
|
|
|
|
|
|
23.1
|
14
|
|
|
|
|
|
15.95
|
12
|
|
|
|
|
|
181.4
|
26
|
|
|
|
|
|
Sum of Ranks
|
129
|
Sum of Ranks
|
137
|
Sum of Ranks
|
199
|
|
Sample Size
|
n1 = 13
|
Sample Size
|
n2 = 8
|
Sample Size
|
n3 = 9
|
|
Country Size
|
|
|
|
Export Income Earned
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Small
|
1.24
|
28.3
|
0.155
|
0.881
|
3.55
|
0.587
|
9.22
|
3.13
|
38
|
2.37
|
23.1
|
15.95
|
181.4
|
|
Medium
|
50.8
|
7.44
|
63.2
|
25.2
|
2
|
15.8
|
44.4
|
578
|
|
|
|
|
|
|
Large
|
325
|
32.8
|
19.6
|
26.5
|
43.1
|
69
|
55.1
|
232
|
272.3
|
|
|
|
|
|
Obs
|
Rank
|
Area (KM)
|
Exports
|
Category
|
|
1
|
1
|
91
|
0.155
|
small
|
|
2
|
2
|
215
|
0.587
|
small
|
|
3
|
3
|
163
|
0.881
|
small
|
|
4
|
4
|
9
|
1.24
|
small
|
|
5
|
5
|
103,000
|
2
|
medium
|
|
6
|
6
|
1,098
|
2.37
|
small
|
|
7
|
7
|
407
|
3.13
|
small
|
|
8
|
8
|
176
|
3.55
|
small
|
|
9
|
9
|
45,226
|
7.44
|
medium
|
|
10
|
10
|
283
|
9.22
|
small
|
|
11
|
11
|
131,940
|
15.8
|
medium
|
|
12
|
12
|
1,285
|
15.95
|
small
|
|
13
|
13
|
2,381,740
|
19.6
|
large
|
|
14
|
14
|
1,139
|
23.1
|
small
|
|
15
|
15
|
93,030
|
25.2
|
medium
|
|
16
|
16
|
2,766,890
|
26.5
|
large
|
|
17
|
17
|
79
|
28.3
|
small
|
|
18
|
18
|
912,050
|
32.8
|
large
|
|
19
|
19
|
757
|
38
|
small
|
|
20
|
20
|
3,287,590
|
43.1
|
large
|
|
21
|
21
|
337,030
|
44.4
|
medium
|
|
22
|
22
|
43,094
|
50.8
|
medium
|
|
23
|
23
|
8,511,965
|
55.1
|
large
|
|
24
|
24
|
83,858
|
63.2
|
medium
|
|
25
|
25
|
7,686,850
|
69
|
large
|
|
26
|
26
|
30,510
|
181.4
|
small
|
|
27
|
27
|
9,596,960
|
232
|
large
|
|
28
|
28
|
9,976,140
|
272.3
|
large
|
|
29
|
29
|
547,030
|
325
|
large
|
|
30
|
30
|
357,021
|
578
|
medium
|