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Evaluate the data below using the Kruskal - Wallis Nonparametric Hypothesis Test.  Explain why you chose this particular nonparametric test to analyze your data.

ANOVA beginnings for population size 30

Y = Exports

 

Group 1 = n1

Group 2 = n2

Group 3 = n3

Small Area

Medium Area

Large Area

0 - 39,999 KM

40,000 - 499,999 KM

500,000 plus KM

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

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9171301

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