Suppose that you choose the exponential distribution to fit the following data 2.4 0.5 0.3 1.4...
Suppose that you choose the exponential distribution to fit the following data 2.4 0.5 0.3 1.4 0.9 0.7 1.2 1.6 6.9 4.1 You may readily check that the estimated parameter ? = 0.5 based on the maximum likelihood estimation. Now use K-S test with 5% significance level to conduct a goodness-of-fit test
Homework Answers
H0: Data follows exponential Distribution.
Ha: Data deos not follows exponential Distribution.
R-code:
x=c(2.4, 0.5, 0.3, 1.4 ,0.9, 0.7, 1.2, 1.6, 6.9 ,4.1)
ks.test(x,"pexp",2.5)
R- output
One-sample Kolmogorov-Smirnov test
data: x
D = 0.62623, p-value = 0.0002549
alternative hypothesis: two-sided
Since p-value = 0.0002549 <0.05 so we reject H0 at 5% level of significance
and conclude that data deos not follows exponential Distribution t 5% level of significance.
Add Answer to:
Suppose that you choose the exponential distribution to fit the
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INN
MARGIN
ROOMS
NEAREST
OFFICE
COLLEGE
INCOME
DISTTWN
1
61
3203
0.1
549
8
37
12.1
2
34
2810
1.5
496
17.5
39
0.4
3
46
2890
1.9
254
20
39
12.2
4
31.9
3422
1
434
15.5
36
2.7
5
57.4
2687
3.4
678
15.5
32
7.9
6
47.5
3080
2.4
488
13.5
31
6.7
7
54.4
2756
1.1
832
14.5
35
6.9
8
46.2
2244
0.7
496
15.5
38
8.9
9
54.1
2862
1.4
809
16.5
33
3...
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INN
MARGIN
ROOMS
NEAREST
OFFICE
COLLEGE
INCOME
DISTTWN
1
44.2
3471
2.1
523
12
35
9.4
2
29.8
3567
1.8
140
13.5
42
5.7
3
38.4
3264
1.6
404
22.5
45
4.4
4
54.4
3234
1.1
649
19.5
35
6.5
5
34.5
2730
4
171
17
41
10.5
6
44.9
3003
3.4
402
15.5
37
4.6
7
46
2341
2
580
23
45
7.4
8
50.2
3021
2.6
572
8.5
33
9.3
9
46
2655
3.2
666
22
40
6.7...
From these data you need
to determine the number of individuals that survived to each age,
starting with the original 91 at age 0.
OBSERVATIONS FROM THE FIELD The following data are collected from the field from an unharvested population of parrots. Listed are longevity data from a cohort of 91 females and fecundity data from a sample of 25 females. The data are only from females because reproductive output in males is difficult to measure. We will assume that...
INN
MARGIN
ROOMS
NEAREST
OFFICE
COLLEGE
INCOME
DISTTWN
1
61
3203
0.1
549
8
37
12.1
2
34
2810
1.5
496
17.5
39
0.4
3
46
2890
1.9
254
20
39
12.2
4
31.9
3422
1
434
15.5
36
2.7
5
57.4
2687
3.4
678
15.5
32
7.9
6
47.5
3080
2.4
488
13.5
31
6.7
7
54.4
2756
1.1
832
14.5
35
6.9
8
46.2
2244
0.7
496
15.5
38
8.9
9
54.1
2862
1.4
809
16.5
33
3...
INN
MARGIN
ROOMS
NEAREST
OFFICE
COLLEGE
INCOME
DISTTWN
1
44.2
3471
2.1
523
12
35
9.4
2
29.8
3567
1.8
140
13.5
42
5.7
3
38.4
3264
1.6
404
22.5
45
4.4
4
54.4
3234
1.1
649
19.5
35
6.5
5
34.5
2730
4
171
17
41
10.5
6
44.9
3003
3.4
402
15.5
37
4.6
7
46
2341
2
580
23
45
7.4
8
50.2
3021
2.6
572
8.5
33
9.3
9
46
2655
3.2
666
22
40
6.7...
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