Area pattern analysis homework

Name _______________________

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Area pattern analysis homework GEO 370 Numerical Methods in Geography

Veterans in Southern California

In 2010 the U.S. Census Bureau compiled data for the number of veterans living in every California county. Across ten Southern/Central California counties, an average of 4.3% of the citizens were veterans. On the attached pages are two maps of the counties. In the first map, counties which exceeded this average have been shaded black, while those that fell below the average are shown white. The actual percentages for each county are shown in the second map.

Your task is to determine whether there is a pattern in the veteran distribution across Southern and Central California counties.

FIRST MAP

1. What is the name of the test appropriate for these data? (½ pt.)

2. Write the null and alternate hypotheses for a two-tailed test. (2 pts.)

3. Using a bright marker on the map, draw the dissimilar joins. What is the value of OBW? (2 pts.)

4. Draw the similar joins. What is the value of J? (2 pts.)

5. Input the Map Variables in the data table on the first map sheet. (1¼ pts.)

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6. Write the equation for the test statistic. Then compute the individual variables which comprise the test statistic equation. Of course, you must show all of your work. (6 pts.)

7. What is the p-value for the test? (1 pt.)

8. State the outcome of the hypothesis test. (1 pt.)

N B W

O BW J

Co. no. L i

1 2 3 4 5 6 7 8 9

10

Map variables

3. San Bernardino

2. Kern

1. San Luis Obispo

4. Santa Barbara

8. Riverside

9. San Diego

5. Ventura 6. Los

Angeles

10. Imperial

7. Orange

first map 3 of 6

N i j Cross product

J

L i 2 

Co. no. L i

1

2

3

4

5

6

7

8

9

10

Map variables County

3. San Bernardino 5.2

2. Kern 5.3 1. San Luis Obispo 7.9

4. Santa Barbara 6.2

8. Riverside 6.2

9. San Diego 7.6

5. Ventura 5.8

6. Los Angeles 3.4

10. Imperial 3.7

7. Orange 4.4

second map 4 of 6

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SECOND MAP

9. What is the name of the test appropriate for these data? (½ pt.)

10. Write the null and alternate hypotheses for a two-tailed test. (2 pts.)

11. Complete the cross-product table for the test. You must list the counties in table in numerical order: primarily sorted by county i, then secondarily by county j in the table. (NOTE: If you do not want to use the given county numbers, you may write the county names or abbreviations. But the row

entries must still be listed based on the numerical sorting rules stated above.) (4 pts.)

12. Write the equation for the test statistic. Then compute the individual variables which comprise the test statistic equation. Of course, you must show all of your work. (6 pts.)

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13. What is the p-value for the test? (1 pt.)

14. State the outcome of the hypothesis test. (1 pt.)