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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationSat, 04 Mar 2017 01:25:29 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Mar/04/t14885907966qfpdln527clxuh.htm/, Retrieved Sat, 18 May 2024 04:06:12 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 18 May 2024 04:06:12 +0200
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
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Histogram
Boxplots 
66.7
11.6
59.6
26.1
13.3
33.9
62.2
52.4
6.0
30.2
61.8
83.7
26.9
32.7
11.5
17.2
32.2
67.9
55.7
37.2
16.2
51.1
28.5
46.3
4.5
94.0
57.5
50.6
60.1
4.0
5.5
29.6
24.6
87.4
71.6
12.3
34.5
94.0
71.3
66.3
87.8
59.0
4.7
0.2
37.8
46.9
2.5
81.8
75.9
61.3
79.7
40.0
27.7
97.2
64.3
75.2
101.0
69.3
35.2
9.1
72.0
61.1
24.4
56.1
11.5
60.1
59.1
7.4
28.0
85.3
3.8
50.2
46.9
40.0
53.4
5.5
64.7
1.8
62.6
53.7
37.8
41.9
60.2
18.8
90.8
17.0
6.5
3.3
2.8
28.9
12.8
6.4
15.6
66.3
62.1
119.1
58.4
7.8
40.4
62.6
39.6
99.1
21.6
67.3
12.8
10.5
51.1
19.7
49.3
9.9
1.6
5.7
47.7
67.9
104.7
27.3
50.9
35.1
26.6
44.1
54.1
45.2
8.7
38.4
61.0
12.1
45.6
57.2
19.3
76.8
22.5
36.2
38.6
71.5
53.3
77.7
38.7
8.7
66.8
6.7
32.4
1.2
22.0
26.9
53.6
76.0
14.6
51.8
5.5
50.7
72.2
47.7
70.2
25.7
13.2
108.2
79.1
36.9
37.8
16.6
45.9
7.4
57.1
32.5
55.9
21.4
46.1
93.2
12.2
41.9
49.0
66.7
21.0
55.4
13.8
39.5
51.9
36.3
46.3
51.0
6.0
19.7
42.9
7.0
40.0
35.6
7.8
15.7
36.9
87.2
53.9
51.8
47.6
37.7
87.2
26.8
64.6
26.1
34.4
13.4
64.2
34.0
19.6
21.7
5.2
62.6
3.8
3.7
63.6
32.0
64.3
24.9
2.8
54.5
120.2
13.5
37.0
56.2
45.5
6.6
31.8
8.2
41.2
49.0
1.5
13.6
112.5
28.3
72.1
9.7
16.4
54.5
22.4
39.5
55.7
72.1
51.3
81.9
73.3
26.3
48.3
54.6
17.0
23.2
61.0
1.2
69.4
46.8
18.3
15.7
50.1
37.3
89.6
45.3
22.7
19.8
32.5
87.6
53.4
10.0
9.3
9.0
33.3
65.2
50.3
62.2
56.1
8.8
40.9
32.5
99.2
45.8
53.5
13.4
93.3
17.5
62.4
38.1
48.9
22.3
49.3
41.2
43.4
33.4
39.6
79.5
60.6
30.5
6.2
8.4
90.9
18.6
29.7
5.2
26.1
19.2
0.7
34.6
98.5
28.1
60.8
17.3
92.1
38.2
9.9
4.8
41.2
1.1
64.4
45.5
90.1
26.8
23.2
58.9
24.5
61.7
1.5
25.6
5.9
24.7
12.9
43.1
34.3
34.5
3.1
54.7
74.9
67.5
13.6
47.8
43.2
8.7
79.0
15.3
36.0
46.2
65.8
11.3
94.0
4.9
69.8
48.9
30.8
25.6
86.1
54.3
6.5
21.6
4.5
40.4
8.1
3.6
91.4
4.6
69.4
9.9
7.0
13.6
6.5
42.2
48.3
11.7
2.2
65.1
22.9
119.8
39.5
42.1
19.1
5.0
57.0
10.6
11.4
42.7
62.2
22.7
75.0
25.9
22.9
98.0
57.6
55.3
33.1
2.8
49.5
97.3
8.2
56.5
46.8
51.8
60.3
65.5
83.2
11.1
11.1
51.7
45.7
31.5
57.1
18.2
35.8
41.0
45.7
33.3
21.0
16.0
51.3
22.5
10.9
41.1
5.8
14.0
35.3
44.5
17.8
81.1
22.5
1.7
38.2
11.8
16.2
74.8
36.3
17.2
52.0
63.5
31.2
20.0
39.3
25.8
55.7
8.4
69.0
45.1
44.1
57.5
37.8
55.7
30.4
49.0
44.0
61.5
93.3
16.8
4.6
6.5
62.7
0.9
95.8
45.4
59.9
19.5
67.1
55.7
74.7
51.0
68.1
36.2
50.4
32.3
79.1
18.6
13.5
60.0
16.7
46.7
83.0
4.0
32.0
71.5
41.3
4.3
30.1
20.5
10.2
52.9
46.6
54.4
5.5
30.9
62.0
5.8
19.9
113.1
35.1
13.2
102.1
36.7
44.9
44.9
26.4
54.2
47.0
33.6
74.7
74.2
56.0
37.3
48.2
88.5
56.2
89.4
84.0
44.0
57.0
94.9
45.7
71.4
76.1
29.6
56.6
3.0
8.5
43.7
54.1
26.9
27.6
10.5
34.1
13.1
34.4
50.8
65.8
54.2
61.3
5.9
55.5
53.6
52.6
59.8
11.2
7.7
12.9
26.9
44.4
39.5
68.1
11.2
37.9
76.9
15.4
14.5
27.8
32.7
16.1
58.8
16.4
58.1
52.7
48.2
54.6
110.4
30.5
6.2
68.8
34.9
57.9
22.5
74.5
37.3
62.7
41.6
63.7
52.1
64.4
2.7
52.9
40.1
100.7
53.3
22.2
28.7
23.9
86.7
26.0
79.0
5.0
50.2
61.1
38.8
44.7
35.8
23.8
5.6
55.2
18.4
52.8
48.5
80.2
14.3
21.4
36.0
31.2
16.8
20.5
13.8
72.7
55.5
41.2
5.8
61.5
85.5
29.4
2.1
2.6
64.4
46.2
60.2
60.7
113.2
40.3
24.6
117.9
7.0
40.0
44.6
57.9
41.8
33.5
67.5
43.8
29.6
4.4
27.2
34.3
54.3
25.2
16.7
23.6
24.8
4.2
39.6
9.9
60.4
46.8
36.5
26.6
21.7
30.2
52.9
12.6
69.9
103.4
30.3
62.1
16.8
6.8
61.2
62.4
69.8
30.1
36.1
7.9
86.2
90.0
61.1
48.7
82.5
15.0
36.8
8.8
122.4
5.8
60.3
81.0
47.1
1.7
48.1
2.4
11.8
47.8
20.8
86.3
24.3
14.4
58.8
11.3
15.0
42.0
88.2
11.4
5.3
57.4
34.4
45.8
7.2
68.3
28.5
53.6
52.3
26.8
4.2
27.3
1.3
7.6
6.4
39.2
49.7
6.0
38.8
48.6
77.3
9.8
10.7
11.2
18.7
11.1
7.7
65.5
92.7
8.4
10.6
56.6
22.3
39.5
7.6
12.8
28.1
61.0
28.7
37.6
7.1
29.0
52.8
1.8
48.5
41.0
13.1
34.5
67.0
62.5
14.2
59.9
64.9
51.5
32.3
75.4
13.3
29.8
5.1
70.4
25.7
22.7
13.8
40.0
22.0
26.6
35.8
6.7
59.2
56.5
44.0
46.8
24.1
9.3
75.7
7.3
1.7
18.8
47.4
45.9
80.2
22.5
73.3
46.3
56.3
18.5
14.4
67.5
44.3
48.1
67.2
90.1
27.6
38.8
64.7
33.1
9.9
37.8
17.7
10.8
41.9
46.2
94.7
39.0
42.8
8.9
29.0
11.8
16.6
25.9
58.0
54.1
38.9
35.7
79.3
3.8
27.5
10.2
74.5
14.7
64.2
6.6
89.5
6.2
63.0
55.8
29.9
71.0
12.1
42.4
3.6
52.2
61.5
5.6
25.4
2.9
43.8
2.9
56.5
21.6
63.3
21.7
36.7
46.6
24.4
9.2
40.0
54.3
49.1
51.9
31.7
23.1
67.2
40.5
96.6
74.1
20.3
17.5
16.2
49.5
29.9
28.3
54.2
59.0
45.4
45.2
36.9
63.7
73.7
26.2
15.3
33.6
19.2
0.1
48.7
25.8
56.0
2.6
38.4
67.9
86.1
36.3
5.7
4.0
7.2
70.4
8.2
22.0
38.6
46.7
44.7
23.7
11.8
47.1
64.4
7.6
56.5
8.1
49.6
89.9
62.8
44.4
23.9
73.5
73.4
3.1
28.1
22.3
6.7
31.6
30.0
29.1
111.9
36.9
45.7
18.3
15.5
23.9
4.9
7.2
39.6
22.5
40.2
51.4
82.9
8.2
86.1
11.1
50.4
30.0
25.0
55.6
83.8
47.1
1.3
35.1
15.0
43.8
30.9
40.6
47.2
68.5
77.2
66.2
13.2
21.5
41.8
34.2
60.8
94.5
68.0
50.3
10.7
25.9
32.1
93.9
74.1
34.1
33.4
31.7
33.9
14.7
42.0
1.3
3.4
96.4
66.1
66.6
9.4
4.4
2.2
25.2
41.0
161.6
0.3
28.4
31.1
37.4
41.6
42.8
42.3
13.7
88.7
25.6
30.4
80.1
48.3
68.7
17.3
66.0
9.7
9.0
48.6
66.3
19.9
33.3
2.6
65.4
106.5
75.1
12.6
49.7
80.0
32.3
30.0
11.4
9.6
41.3
30.0
47.8
25.6
25.1
7.2
9.4
1.6
45.8
41.8
16.7
42.6
79.4
15.1
8.1
26.8
10.7
113.2
46.1
51.4
62.2
11.4
42.2
25.0
23.4
46.3
52.1
9.7
46.9
8.2
22.5
7.9
44.3
14.3
38.7
8.8
5.5
19.7
34.4
9.5
4.2
2.5
48.1
64.5
68.1
8.9
20.3
23.0
32.8
10.9
35.1
10.6
86.1
9.7
16.8
51.2
30.8
13.6
25.7
88.2
65.1
35.1
86.5
63.8
5.9
40.5
47.2
8.8
11.7
5.5
8.4
38.0
47.0
46.3
95.6
31.7
34.4
6.4
30.6
33.1
44.5
3.2
47.8
46.6
43.4
33.3
26.1
7.8
27.8
29.0
59.0
16.1
11.8
7.0
13.7
48.3
8.5
21.1
6.3
56.9
7.0
74.9
31.0
19.7
28.4
43.7
46.1
35.8
53.4
52.2
46.2
111.2
31.9
56.0
25.3
33.3
4.9
24.0
17.7
31.9
41.3
13.6
11.4
94.0
21.2
71.8
142.7
38.9
55.5
7.8
35.5
82.6
23.2
65.4
32.5
24.5
11.8
46.1
69.5
67.0
13.8
18.8
16.5
11.0
39.3
18.1
70.2
9.5
53.8
47.2
37.3
22.2
27.7
6.2
35.1
9.9
39.9
114.7
30.5
51.7
30.4
21.2
42.9
8.1
33.2
14.1
30.9
56.0
82.3
32.8
29.4
89.9
95.6
72.2
49.9
64.4
24.6
50.7
29.2
73.8
96.6
31.4
61.4
13.1
56.3
41.7
4.8
46.4
2.7
7.3
102.4
42.3
33.9
36.4
16.2
6.5
49.2
4.9
68.9
58.9
53.6
28.7
77.8
10.8
36.2
24.8
86.6
85.4
59.7
4.8
1.6
40.7
54.8
56.3
34.0
32.6
9.1
69.3
42.1
26.0
94.7
22.3
3.9
4.0
45.2
45.4
45.2
15.1
29.5
101.7
59.7
38.1
46.6
68.2
11.6
81.3
97.2
2.7
31.8
86.7
18.4
68.8
7.0
45.8
50.2
54.3
6.2
14.9
3.4
34.4
43.7
65.9
14.5
63.5
95.5
31.3
77.4
48.2
82.3
29.6
110.7
6.9
5.0
13.4
46.0
27.6
9.4
45.8
9.0
67.6
21.7
48.6
1.1
31.1
16.4
17.1
18.4
136.6
8.0
66.5
55.9
44.8
29.4
22.6
50.2
46.7
12.2
9.1
23.3
8.3
38.7
0.8
65.4
41.6
30.0
24.6
23.6
50.6
34.6
55.1
59.7
29.8
31.2
32.1
6.0
18.6
36.7
71.4
6.3
52.1
32.6
46.7
40.1
73.4
37.8
35.7
76.3
46.4
77.4
19.8
1.6
101.8
43.8
46.7
43.4
35.4
10.3
54.7
51.1
12.3
1.6
64.5
103.8
5.2
9.8
67.4
11.2
30.5
67.3
14.9
9.7
29.6
8.7
95.2
32.5
63.2
99.4
5.7
41.2
3.4
6.1
79.0
4.5
28.9
5.9
15.8
43.4
51.7
15.7
36.1
20.1
44.7
10.3
51.4
5.9
44.6
31.6
27.3
32.5
46.3
8.7
29.2
53.2
14.0
22.7
63.2
45.4
53.6
37.3
21.7
66.3
27.3
39.9
67.1
18.5
13.4
57.4
54.1
29.6
16.5
62.5
47.6
67.9
65.3
43.4
11.9
9.2
46.6
49.9
43.1
11.9
45.2
8.2
102.9
35.5
8.6
38.9
47.3
37.7
2.9
5.8
68.4
8.7
83.1
0.4
24.8
66.5
9.3
19.5
25.4
50.7
8.5
70.3
32.4
92.1
31.5
73.2
68.9
34.3
49.7
78.4
14.4
71.9
10.9
14.4
43.6
55.9
61.3
37.4
10.8
27.6
62.3
75.7
19.5
8.8
76.7
6.7
49.6
85.7
84.3
21.0
2.6
28.0
39.3
24.7
53.8
8.1
81.9
39.3
32.5
89.3
51.7
32.1
37.4
44.8
0.4
8.4
23.0
23.6
14.0
15.7
31.7
39.0
54.2
94.8
51.3
43.1
7.6
63.8
1.9
73.0
62.1
51.9
39.6
49.6
27.8
36.2
14.7
49.2
20.3
28.1
30.8
78.0
43.5
72.1
87.2
51.6
35.0
20.6
6.4
14.5
15.2
69.2
11.3
56.7
40.1
29.0
74.9
8.8
9.5
83.4
15.3
34.8
19.8
53.5
31.7
83.7
40.3
30.2
73.4
44.9
75.3
37.4
54.8
35.8
8.6
18.3
21.6
6.2
44.1
98.7
29.7
10.2
73.9
17.7
6.1
48.5
76.7
2.2
84.0
61.1
61.1
81.1
32.6
27.6
27.2
5.9
59.1
14.8
37.9
52.4
8.6
69.7
14.5
80.9
54.2
16.9
61.1
65.1
45.0
27.1
37.8
3.0
48.6
43.9
44.1
45.9
68.7
4.6
21.4
121.0
6.9
44.1
110.3
5.9
23.5
41.4
35.3
10.2
94.1
40.4
51.4
43.5
56.7
14.0
4.0
5.1
35.7
94.0
11.9
18.2
13.7
51.9
4.5
56.6
37.3
50.6
68.6
81.0
46.3
4.1
4.9
8.4
4.8
42.2
34.7
53.6
50.9
52.0
42.8
85.5
28.8
4.1
30.6
19.1
61.3
29.5
63.7
11.5
5.1
9.4
14.4
43.0
15.2
57.3
26.5
52.4
42.1
11.1
35.0
44.9
46.0
38.5
9.2
44.5
62.1
39.0
103.1
38.4
34.5
47.1
37.1
36.6
61.9
21.8
49.6
42.0
45.9
78.6
52.6
5.4
31.6
9.8
28.8
10.1
49.0
38.3
18.5
16.4
5.2
40.9
6.9
60.1
77.5
17.3
59.4
70.2
18.6
4.9
37.7
27.5
12.7
29.9
86.3
11.2
76.0
57.2
56.5
48.8
8.1
62.9
37.0
47.7
110.4
33.0
9.8
20.6
49.8
14.6
56.0
69.0
42.5
65.2
74.9
1.4
15.4
38.2
54.7
26.9
22.9
80.8
39.7
88.4
91.8
9.2
69.7
52.4
43.9
39.9
23.3
2.0
23.8
84.9
68.3
14.1
68.9
8.2
63.8
22.9
50.3
50.9
15.8
5.7
20.2
81.6
23.7
43.6
3.9
46.6
55.5
7.0
53.8
36.5
4.1
8.0
11.6
110.9
31.1
49.0
36.3
37.7
50.4
59.5
19.7
26.7
23.9
63.0
66.4
44.6
57.9
4.7
25.5
63.9
3.7
37.0
3.2
30.5
15.6
62.6
15.5
4.3
3.5
35.9
52.2
2.2
3.4
39.8
101.1
23.9
37.7
51.3
8.2
5.5
7.1
2.5
57.0
4.2
18.8
19.6
32.5
32.5
36.8
19.2
32.2
56.8
81.0
53.1
121.6
58.4
4.3
58.7
29.5
57.2
68.3
49.2
12.9
49.2
30.5
50.3
51.4
76.8
76.6
57.8
7.1
28.0
51.7
17.1
24.4
9.6
6.9
34.0
52.1
19.2
3.0
74.7
1.4
0.5
10.7
46.8
102.7
31.4
42.6
5.1
36.5
62.3
59.7
28.2
9.6
103.6
2.3
12.2
54.5
122.1
118.0
48.0
29.9
15.7
105.9
53.9
14.3
61.6
36.1
89.4
27.9
2.1
0.8
25.7
107.5
46.6
23.4
57.6
38.5
46.4
46.5
35.6
51.0
53.8
62.7
46.9
3.1
56.7
42.5
32.3
9.9
150.7
5.8
10.5
64.8
35.5
93.0
52.4
35.0
2.6
68.2
53.4
21.9
44.4
57.2
28.5
38.3
48.6
43.3
29.4
17.9
28.8
20.7
46.1
76.7
41.3
72.9
54.6
49.6
33.6
56.8
87.2
18.1
58.3
67.8
23.8
69.5
7.5
41.0
24.3
95.1
31.6
46.5
11.3
13.3
49.7
29.7
88.5
32.0
56.2
26.8
25.1
66.6
13.8
17.7
22.5
72.5
36.5
27.0
46.3
47.8
73.9
29.5
11.9
82.8
60.7
43.9
48.3
18.8
14.1
58.6
16.3
57.0
1.5
45.1
40.3
85.8
22.7
58.7
55.1
65.7
48.7
39.4
32.3
104.1
48.7
50.2
19.8
36.6
10.3
61.8
4.6
11.4
117.0
5.9
27.0
64.8
64.5
14.6
55.1
46.3
62.1
19.7
15.3
45.0
57.3
15.5
48.4
8.7
55.1
81.4
28.5
23.9
46.9
4.7
52.8
50.7
16.9
104.3
50.3
7.9
4.3
31.6
42.8
16.8
21.1
19.1
68.6
6.0
39.9
35.7
26.6
55.0
17.5
15.5
44.8
44.8
31.7
47.1
2.4
18.6
54.0
32.5
56.5
17.4
58.3
61.9
44.6
31.5
21.5
2.2
61.1
19.5
55.5
61.9
38.8
47.2
40.8
5.0
31.3
76.3
83.6
36.0
13.6
1.1
47.4
93.4
64.8
42.0
39.2
27.2
74.6
12.9
25.0
15.3
104.2
11.8
21.8
60.7
69.2
87.8
25.2
2.3
67.1
40.5
21.7
3.6
35.1
64.5
42.5
20.5
7.2
79.1
54.3
52.3
41.4
70.7
12.8
37.9
8.5
46.2
38.1
23.8
19.4
56.8
49.3
76.8
21.2
70.1
66.5
6.9
4.8
48.6
58.4
31.2
13.9
61.4
69.2
43.3
58.0
23.2
31.8
97.6
7.8
3.0
10.8
36.1
46.0
63.8
21.8
47.2
29.2
6.6
18.2
2.4
43.5
47.7
53.4
2.0
40.9
32.1
25.0
51.9
65.5
9.5
7.3
67.2
4.4
26.8
55.4
52.7
29.6
27.5
34.3
13.1
66.3
38.3
41.9
5.5
37.4
81.4
5.0
9.9
3.5
25.4
23.3
44.8
61.4
18.3
6.4
22.1
49.2
56.9
39.7
44.4
2.9
28.4
22.3
31.1
50.2
46.7
52.1
73.5
72.0
46.7
2.7
13.3
49.2
12.3
49.4
5.2
27.2
1.7
20.8
59.0
50.5
25.3
48.9
32.8
69.9
64.2
88.1
54.1
29.1
87.7
7.8
84.1
28.0
27.8
80.3
40.6
20.2
31.9
57.5
45.7
17.3
23.2
5.5
4.7
8.3
7.9
60.6
65.2
58.5
52.7
62.2
63.9
9.4
30.8
8.2
56.1
8.2
62.0
55.9
20.9
4.6
4.2
45.1
1.4
40.3
40.2
107.7
6.1
33.4
67.3
57.7
12.3
36.5
24.0
60.2
18.2
49.7
32.6
6.0
4.6
23.8
31.0
34.0
55.1
13.1
6.5
50.7
52.4
36.0
4.7
35.6
31.6
2.0
51.4
70.0
8.2
69.2
46.6
47.1
59.7
12.1
8.8
36.3
41.1
6.7
21.5
47.5
64.7
61.7
57.9
92.7
31.7
17.0
42.1
12.8
62.0
2.8
32.4
51.9
105.4
2.9
96.5
38.7
14.6
8.8
69.2
15.9
9.5
62.3
65.5
62.1
3.4
1.3
68.6
39.9
44.3
17.1
9.1
65.6
6.6
6.6
7.4
86.8
20.8
80.9
87.6
75.5
2.5
28.9
66.7
41.2
47.5
57.4
51.1
125.4
47.6
21.6
56.6
20.7
44.7
67.4
11.0
21.9
18.0
71.8
38.7
21.1
38.9
5.0
12.4
44.3
54.7
58.5
67.0
41.9
4.6
62.2
4.8
76.9
4.0
54.4
32.6
21.7
51.9
18.0
26.1
21.8
6.5
24.2
41.8
34.6
26.7
49.0
28.9
94.2
22.6
53.7
40.2
20.0
49.1
3.0
94.7
29.6
27.9
21.5
22.7
27.3
4.7
86.9
13.0
26.5
45.2
15.8
48.1
6.6
3.7
28.7
2.2
10.7
24.9
29.4
99.4
70.8
38.6
1.2
35.0
29.2
49.6
41.6
25.2
53.6
19.8
23.2
26.2
17.6
44.4
52.1
53.3
38.4
43.7
41.2
31.1
16.4
21.8
49.0
72.9
14.4
96.7
4.8
40.5
5.6
46.9
93.7
37.1
35.4
7.9
29.8
36.0
18.0
106.5
14.2
6.6
52.1
16.0
12.9
65.7
39.9
69.8
5.5
47.7
3.5
44.1
95.1
70.1
56.6
58.5
70.7
7.3
27.4
37.4
38.1
72.4
101.0
11.2
23.5
80.8
50.9
64.9
28.1
43.6
69.8
49.1
30.2
42.8
62.0
15.6
61.7
25.8
20.1
4.2
35.3
128.8
7.9
43.5
39.7
41.5
63.1
71.0
6.2
11.1
20.5
43.9
90.9
6.3
48.0
90.0
11.9
8.6
11.6
35.0
3.6
1.1
42.9
44.6
29.3
57.0
31.9
15.0
9.1
33.2
47.3
4.0
42.9
11.3
41.9
41.9
3.5
2.6
14.5
79.3
9.3
40.0
101.5
3.6
14.9
42.8
57.6
45.2
4.7
28.9
5.0
60.2
29.7
1.9
77.7
20.5
100.4
55.6
66.1
55.6
13.7
36.4
74.2
66.9
1.7
98.3
32.4
72.4
3.7
13.6
75.0
89.6
44.8
74.1
44.0
51.3
14.4
26.3
9.6
43.2
40.6
30.1
16.5
52.9
17.6
70.1
32.2
3.1
12.4
74.5
23.6
5.5
95.1
34.6
21.8
140.9
9.9
6.0
34.6
15.4
58.3
59.3
0.9
78.8
42.9
57.0
6.3
46.4
4.9
31.5
28.6
13.3
77.6
36.4
21.8
59.7
2.3
39.5
38.8
62.7
57.4
38.6
28.2
52.1
48.1
3.7
20.8
37.0
21.0
31.7
41.5
18.8
70.7
45.1
96.9
35.1
27.0
134.5
27.1
14.3
24.1
26.3
35.9
25.9
21.1
5.6
38.9
42.5
5.8
40.8
31.0
6.7
7.8
43.3
82.5
84.3
23.8
54.8
34.1
93.3
104.9
89.6
80.6
70.4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Properties of Density Trace
Bandwidth4.95446595386128
#Observations2590

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 4.95446595386128 \tabularnewline
#Observations & 2590 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]4.95446595386128[/C][/ROW]
[ROW][C]#Observations[/C][C]2590[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Properties of Density Trace
Bandwidth4.95446595386128
#Observations2590






Maximum Density Values
Kernelx-valuemax. density
Gaussian8.812508460450520.0149838238117316
Epanechnikov9.935170666261680.0148811196669157
Rectangular9.935170666261680.0153894154716978
Triangular9.186729195720910.0148003349125171
Biweight9.56094993099130.0148611031225658
Cosine9.56094993099130.0148635896455241
Optcosine9.935170666261680.0148611305289252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 8.81250846045052 & 0.0149838238117316 \tabularnewline
Epanechnikov & 9.93517066626168 & 0.0148811196669157 \tabularnewline
Rectangular & 9.93517066626168 & 0.0153894154716978 \tabularnewline
Triangular & 9.18672919572091 & 0.0148003349125171 \tabularnewline
Biweight & 9.5609499309913 & 0.0148611031225658 \tabularnewline
Cosine & 9.5609499309913 & 0.0148635896455241 \tabularnewline
Optcosine & 9.93517066626168 & 0.0148611305289252 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]8.81250846045052[/C][C]0.0149838238117316[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]9.93517066626168[/C][C]0.0148811196669157[/C][/ROW]
[ROW][C]Rectangular[/C][C]9.93517066626168[/C][C]0.0153894154716978[/C][/ROW]
[ROW][C]Triangular[/C][C]9.18672919572091[/C][C]0.0148003349125171[/C][/ROW]
[ROW][C]Biweight[/C][C]9.5609499309913[/C][C]0.0148611031225658[/C][/ROW]
[ROW][C]Cosine[/C][C]9.5609499309913[/C][C]0.0148635896455241[/C][/ROW]
[ROW][C]Optcosine[/C][C]9.93517066626168[/C][C]0.0148611305289252[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian8.812508460450520.0149838238117316
Epanechnikov9.935170666261680.0148811196669157
Rectangular9.935170666261680.0153894154716978
Triangular9.186729195720910.0148003349125171
Biweight9.56094993099130.0148611031225658
Cosine9.56094993099130.0148635896455241
Optcosine9.935170666261680.0148611305289252






Kernel Density Values
x-valueGaussianEpanechnikovRectangularTriangularBiweightCosineOptcosine
Kernel Density Values are not shown

\begin{tabular}{lllllllll}
\hline
Kernel Density Values \tabularnewline
x-value & Gaussian & Epanechnikov & Rectangular & Triangular & Biweight & Cosine & Optcosine \tabularnewline
Kernel Density Values are not shown \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Kernel Density Values[/C][/ROW]
[ROW][C]x-value[/C][C]Gaussian[/C][C]Epanechnikov[/C][C]Rectangular[/C][C]Triangular[/C][C]Biweight[/C][C]Cosine[/C][C]Optcosine[/C][/ROW]
[ROW][C]Kernel Density Values are not shown[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Kernel Density Values
x-valueGaussianEpanechnikovRectangularTriangularBiweightCosineOptcosine
Kernel Density Values are not shown


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
Parameters (R input):
par1 = 0 ; par2 = no ; par3 = 512 ;
R code (references can be found in the software module):
if (par1 == '0') bw <- 'nrd0'
if (par1 != '0') bw <- as.numeric(par1)
par3 <- as.numeric(par3)
mydensity <- array(NA, dim=c(par3,8))
bitmap(file='density1.png')
mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE)
mydensity[,8] = signif(mydensity1$x,3)
mydensity[,1] = signif(mydensity1$y,3)
plot(mydensity1,main='Gaussian Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
mydensity1
bitmap(file='density2.png')
mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE)
mydensity[,2] = signif(mydensity2$y,3)
plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density3.png')
mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
mydensity[,3] = signif(mydensity3$y,3)
plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density4.png')
mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE)
mydensity[,4] = signif(mydensity4$y,3)
plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density5.png')
mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
mydensity[,5] = signif(mydensity5$y,3)
plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density6.png')
mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE)
mydensity[,6] = signif(mydensity6$y,3)
plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density7.png')
mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
mydensity[,7] = signif(mydensity7$y,3)
plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
load(file='createtable')
ab<-table.start()
ab<-table.row.start(ab)
ab<-table.element(ab,'Properties of Density Trace',2,TRUE)
ab<-table.row.end(ab)
ab<-table.row.start(ab)
ab<-table.element(ab,'Bandwidth',header=TRUE)
ab<-table.element(ab,mydensity1$bw)
ab<-table.row.end(ab)
ab<-table.row.start(ab)
ab<-table.element(ab,'#Observations',header=TRUE)
ab<-table.element(ab,mydensity1$n)
ab<-table.row.end(ab)
ab<-table.end(ab)
a <- ab
table.save(ab,file='mytable123.tab')
b<-table.start()
b<-table.row.start(b)
b<-table.element(b,'Maximum Density Values',3,TRUE)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Kernel',1,TRUE)
b<-table.element(b,'x-value',1,TRUE)
b<-table.element(b,'max. density',1,TRUE)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Gaussian',1,TRUE)
b<-table.element(b,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
b<-table.element(b,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Epanechnikov',1,TRUE)
b<-table.element(b,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
b<-table.element(b,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Rectangular',1,TRUE)
b<-table.element(b,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
b<-table.element(b,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Triangular',1,TRUE)
b<-table.element(b,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
b<-table.element(b,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Biweight',1,TRUE)
b<-table.element(b,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
b<-table.element(b,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Cosine',1,TRUE)
b<-table.element(b,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
b<-table.element(b,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Optcosine',1,TRUE)
b<-table.element(b,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
b<-table.element(b,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
b<-table.row.end(b)
b<-table.end(b)
a <- b[1]
table.save(b,file='mytable2a.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kernel Density Values',8,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.row.end(a)
if (par2=='yes') {
for(i in 1:par3) {
a<-table.row.start(a)
a<-table.element(a,mydensity[i,8],1,TRUE)
for(j in 1:7) {
a<-table.element(a,mydensity[i,j],1)
}
a<-table.row.end(a)
}
} else {
a<-table.row.start(a)
a<-table.element(a,'Kernel Density Values are not shown',8)
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')