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# Untitled

a guest Jun 19th, 2017 45 Never
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1. Which way do I calculate the F statistic in this problem:
2. DATA:
3.             northside   southside   eastside    westside    average
4. small properties    12      12      10      6       10
5. large properties    13      10      7       8       9.5
6. average         12.5        11      8.5     7       9.75 (GRAND MEAN)
7.
8. QUESTION:
9. Want to find out if location of a property affects the number of properties sold by size.
10.
11. Null H: Location does not affect.
12. Alt. H: Location does affect.
13.
14. Grand mean: (12+12+10+6+13+10+7+8)/8 = 9.75
15. Between treatment sum of squares: 2(12.5-9.75)^2 + 2(11-9.75)^2 + 2(8.5-9.75)^2 + 2(7-9.75)^2 = 36.5
16. Within treatment: (12.5-12)^2+(13-12.5)^2+(12-11)^2+(10-11)^2+(10-8.5)^2+(7-8.5)^2+(6-7)^2+(8-7)^2 = 9
17.
18. F = [36.5/(4-1)] / [9/(8-4)] ~ 5.41
19.
20. OR
21.
22. Grand mean: 9.75
23. Between treatment sum of squares: 4(10-9.75)^2+4(9.5-9.75)^2 = .5
24. Within treatment: (12-10)^2+(12-10)^2+(10-10)^2+(6-10)^2+(13-9.5)^2+(10-9.5)^2+(7-9.5)^2+(8-9.5)^2 = 45
25.
26. F = [.5/(2-1)] / [45/(8-2)] ~ 0.7
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