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Sampling then write the topic by your own - Assignment Example

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Convenience sampling technique comes in handy due the fact that data can easily be collected and analyzed. A major disadvantage is that…
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Sampling Assignment then write the topic by your own
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Sampling Part One In the first sample, the first 20 were considered because each of them is equally representative and that they were easily available. Convenience sampling technique comes in handy due the fact that data can easily be collected and analyzed. A major disadvantage is that sometimes it fails to represent the total population (Thompson 14). Another disadvantage of this method is that respondents may be biased. This could amount to accidental sampling. The ids of the students picked were as follows:
Id
1
2
3
4
5
6
7
8
9
10
Days absent
0
1
3
1
1
4
13
2
5
1
Id
11
12
13
14
15
16
17
18
19
20
Days absent
2
1
3
1
1
4
3
11
3
8
The number of days absent was fewer.
In the second sample, students were picked randomly; the first and the last ten students were considered. The students were chosen as follows:
Id
1
2
3
4
5
6
7
8
9
10
Days absent
0
1
3
1
1
4
13
2
5
1
Id
91
92
93
94
95
96
97
98
99
100
Days absent
0
7
8
4
6
10
3
4
3
8
The average was: 84/20= 4.2; this number was closer to the average than the previous sampling method. By taking the first ten students and the last ten students, the sample was almost evenly distributed.
Systematic Sample
Id
1
2
3
4
5
6
7
8
9
10
Days absent
0
1
3
1
1
4
13
2
5
1
Id
91
92
93
94
95
96
97
98
99
100
Days absent
0
7
8
4
6
10
3
4
3
8
Here, the students were chosen systematically. The sample of students picked were those falling between ids 21 to 40. This was because the number of days absent was evenly distributed. Again, there was need for an average that is closed to the total population’s average.
Id
21
22
23
24
25
26
27
28
29
30
Days absent
5
1
15
10
11
3
4
3
6
9
Id
31
32
33
34
35
36
37
38
39
40
Days absent
14
2
4
4
1
2
5
6
16
5
Average number of students absent: 126/20=6.3; this number was higher than the total average. This is due to the fact that the sample chosen represented the highest number of absentees.
Overall, the three different sampling techniques had the following advantages and disadvantages:
Convenient samples can easily be assessed; they are not involving. In this sampling technique, data is easily gathered and analyzed. A major risk associated with this method is that it is not representative of the whole population (Thompson p16). Respondents can sometimes be biased. Moreover, there may be overrepresentation and underrepresentation of some members of the sample.
Simple random sampling has a major advantage; respondents are selected randomly, so the results may be close to average. Every segment has an equal probability of being chosen. It reduces biases associated with overrepresentation and underrepresentation (Thompson p24). A major disadvantage of this method is that all members of the population may have to be listed; which could be quite cumbersome and time consuming.
Systematic sampling uses fixed intervals with a stated staring point. It has the same advantages and disadvantages as simple random sampling. In all the three sampling techniques, the sample interval was ten.
Part Two (A)
The sampling interval in this second part is ten.
Below are the five simple random samples considered: 5-24; 25-44; 45-64; 65-84; 81-100.
Id
5
6
7
8
9
10
11
12
13
14
Days absent
1
4
13
2
5
1
2
1
3
1
Id
15
16
17
18
19
20
21
22
23
24
Days absent
1
4
3
11
3
8
5
1
15
10
Average: 94/20=4.7; lower than the average.
Id
25
26
27
28
29
30
31
32
33
34
Days absent
11
3
4
3
6
9
14
2
4
4
Id
35
36
37
38
39
40
41
42
43
44
Days absent
1
2
5
6
16
5
5
9
2
4
Average: 115/20=5.75; slightly greater than the average.
Id
45
46
47
48
49
50
51
52
53
54
Days absent
7
5
4
0
6
15
5
11
3
4
Id
55
56
57
58
59
60
61
62
63
64
Days absent
4
13
17
9
3
4
11
9
15
5
Average: 150/20=7.5; greater than the average.
Id
65
66
67
68
69
70
71
72
73
74
Days absent
10
7
12
0
5
3
14
8
5
12
Id
75
76
77
78
79
80
81
82
83
84
Days absent
5
6
0
0
8
3
4
5
2
11
Average: 120/20=6; greater than the average.
Id
81
82
83
84
85
86
87
88
89
90
Days absent
4
5
2
11
9
9
9
6
10
3
Id
91
92
93
94
95
96
97
98
99
100
Days absent
0
7
8
4
6
10
3
4
3
8
Average: 133/20=6.65; greater than the average.
The average number of absentees is distributed around the mean for the total; in some samples, the average is slightly higher; in some samples, it is slightly lower.
Specify your six different estimates of absenteeism. How do they compare to the population value? How much variation do you observe across your six samples?
The greatest variation is (7.5-5.95) = 1.65; the least is (5.95-5.75) =0.20.
Part B 2
The samples will be taken at the following intervals:
1-40; 11-50; 21-60; 31-70; 41-80; 51-90
Id
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Days Absent
0
1
3
1
1
4
13
2
5
1
2
1
3
1
1
4
3
11
3
8
Id
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Days Absent
5
1
15
10
11
3
4
3
6
9
14
2
4
4
1
2
5
6
16
5
Average: 194/40= 4.85.
Id
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Days Absent
2
1
3
1
1
4
3
11
3
8
5
1
15
10
11
3
4
3
6
9
Id
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Days Absent
14
2
4
4
1
2
5
6
16
5
5
9
2
4
7
5
4
0
6
15
Average: 220/40=5.5
Id
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Days Absent
5
1
15
10
11
3
4
3
6
9
14
2
4
4
1
2
5
6
16
5
Id
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
Days Absent
5
9
2
4
7
5
4
0
6
15
5
11
3
4
4
13
17
9
3
4
Average: 268/40=6.7
Id
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Days Absent
14
2
4
4
1
2
5
6
16
5
5
9
2
4
7
5
4
0
6
15
Id
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
Days Absent
5
11
3
4
4
13
17
9
3
4
11
9
15
5
10
7
12
0
5
3
Average: 266/40=6.65
Id
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
Days Absent
5
9
2
4
7
5
4
0
6
15
5
11
3
4
4
13
17
9
3
4
Id
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
Days Absent
11
9
15
5
10
7
12
0
5
3
14
8
5
12
5
6
0
0
8
3
Average: 278/40=6.7
Id
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
Days Absent
5
11
3
4
4
13
17
9
3
4
11
9
15
5
10
7
12
0
5
3
Id
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
Days Absent
14
8
5
12
15
6
0
0
8
3
4
5
2
11
9
9
9
6
10
3
Average: 289/40= 7.1
When a larger number is considered (40 instead of 20), the variation reduces. The average values are closer to the average for the total than when a sample of 20 is used. For instance, the largest variation is 7.1-5.85=1.25, and the smallest is 5.85-5.5=0.3. Larger samples have less variation. They give better results, which mean the average are closer to the whole population’s average. It leads to generalization of the whole population (Thompson 34). Systematic sampling improves estimates since it representative samples are considered for best estimates.
Work Cited
Thompson, Steven K. Sampling. Hoboken, N.J: Wiley, 2012. Read More
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