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This example illustrates how a data set which increases and then decreases leads to a cummulative data set with an approximately logistic trend.
The following data are from the Centers for Disease Control AIDS Public Information Data Set. They give the number of diagnosed cases of AIDS in the U.S. at half-year intervals between 1982 and 1997.
Location: All States |
Classification: Half-year Diagnosed |
Half-year Diagnosed | Cases |
(%) |
Before 1982 |
425 |
(0.1) |
1982 Jan-Jun |
454 |
(0.1) |
1982 Jul-Dec |
747 |
(0.1) |
1983 Jan-Jun |
1382 |
(0.2) |
1983 Jul-Dec |
1763 |
(0.3) |
1984 Jan-Jun |
2753 |
(0.4) |
1984 Jul-Dec |
3582 |
(0.6) |
1985 Jan-Jun |
5296 |
(0.8) |
1985 Jul-Dec |
6694 |
(1.0) |
1986 Jan-Jun |
8857 |
(1.4) |
1986 Jul-Dec |
10462 |
(1.6) |
1987 Jan-Jun |
13809 |
(2.2) |
1987 Jul-Dec |
15190 |
(2.4) |
1988 Jan-Jun |
17701 |
(2.8) |
1988 Jul-Dec |
18256 |
(2.8) |
1989 Jan-Jun |
21434 |
(3.3) |
1989 Jul-Dec |
21734 |
(3.4) |
1990 Jan-Jun |
24858 |
(3.9) |
1990 Jul-Dec |
24211 |
(3.8) |
1991 Jan-Jun |
29016 |
(4.5) |
1991 Jul-Dec |
31108 |
(4.9) |
1992 Jan-Jun |
38091 |
(5.9) |
1992 Jul-Dec |
40963 |
(6.4) |
1993 Jan-Jun |
43103 |
(6.7) |
1993 Jul-Dec |
35946 |
(5.6) |
1994 Jan-Jun |
37554 |
(5.9) |
1994 Jul-Dec |
33655 |
(5.2) |
1995 Jan-Jun |
35641 |
(5.6) |
1995 Jul-Dec |
30592 |
(4.8) |
1996 Jan-Jun |
30368 |
(4.7) |
1996 Jul-Dec |
24288 |
(3.8) |
1997 Jan-Jun |
21394 |
(3.3) |
1997 Jul-Dec |
9759 |
(1.5) |
Total: |
641086 |
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