1相关系数的作用
通过网络查找并整理,说明相关系数的作用
2相关系数的分类
介绍相关系数的计算公式,相关系数有多种(重点是pearson,然后是spearman),列出每种的计算公式,理解其计算过程。
3相关系数的计算
3.1手工计算
针对后文所附的数据,这两列数据之间相关系数(pearson)为0.862,spearman相关系数是0.83。
用excel逐步计算相关系数,并记录每一步的过程,以及每一步的结果:
计算过程(步骤) | 计算结果 | 程序流程描述(伪代码) |
13.9 | 20 |
13.8 | 25 |
12.2 | 19 |
12.6 | 24 |
11.8 | 18 |
12.4 | 23 |
12 | 17 |
12.1 | 22 |
12 | 17 |
12.2 | 22 |
12 | 17 |
12.2 | 16.5 |
12.1 | 22 |
12 | 16.5 |
11.7 | 16.5 |
11.6 | 20 |
11.4 | 16.5 |
10.4 | 16.5 |
11 | 19 |
10.6 | 17 |
10.4 | 18 |
10.4 | 18 |
10 | 16 |
9.7 | 16 |
10 | 17 |
10 | 17 |
18.7 | 27 |
18.9 | 28 |
18.5 | 27 |
18.4 | 28 |
18 | 28 |
13 | 18.5 |
13.2 | 20 |
12.8 | 18.5 |
13.1 | 19 |
13.2 | 18.5 |
13.1 | 19 |
12.16 | 18.5 |
13.2 | 19 |
12.6 | 19 |
13.3 | 20 |
12.4 | 18 |
13 | 19 |
12.2 | 18 |
12.3 | 19 |
12.2 | 18 |
12.2 | 19 |
12.2 | 18 |
12.2 | 19 |
11.5 | 17.5 |
12 | 17.5 |
11.6 | 18 |
12 | 17.5 |
12 | 18 |
12.16 | 17.5 |
12 | 18 |
12.3 | 18.5 |
12.4 | 19 |
12.5 | 19 |
12.5 | 19 |
12.4 | 19 |
12.5 | 19 |
12.4 | 19 |
12.5 | 19 |
12.4 | 19 |
12.5 | 18 |
12.8 | 19 |
12.7 | 18 |
12.6 | 18.5 |
13 | 18 |
12 | 17.5 |
12.3 | 17 |
11.8 | 16 |
12 | 17 |
11.3 | 16 |
11.5 | 17 |
11.4 | 17 |
10.8 | 16 |
11 | 16 |
11 | 16 |
11 | 17 |
11 | 17 |
10.8 | 17 |
10.2 | 15 |
10 | 17 |
9.6 | 16.5 |
14 | 20 |
14.4 | 22 |
13.9 | 23 |
15.5 | 24 |
15.7 | 27 |
15.1 | 24 |
14.6 | 27 |
15.4 | 24 |
15 | 26 |
15.2 | 23 |
14.9 | 26 |
15 | 22 |
15 | 25 |
14.4 | 22 |
15 | 25 |
14.4 | 22 |
14.6 | 24 |
13.6 | 23 |
13.2 | 22 |
11.8 | 20 |
11.6 | 22 |
11.4 | 20 |
12 | 22 |
11.8 | 20 |
12.4 | 22 |
12.2 | 22 |
12 | 19 |
12.2 | 21 |
12 | 19 |
12.1 | 20 |
12.1 | 20 |
11.8 | 19 |
12 | 20 |
11.7 | 19 |
11.8 | 18 |
12 | 20 |
13 | 19 |
13.2 | 20 |
13.1 | 19 |
13.5 | 22 |
13.6 | 19 |
14 | 22 |
14 | 20 |
14 | 22 |
14.2 | 20 |
14.4 | 22 |
16.6 | 26 |
15.6 | 24 |
17.6 | 28 |
17.4 | 26 |
16.9 | 26 |
17.2 | 26 |
17.4 | 26 |
17.5 | 28 |
18 | 28 |
18.2 | 30 |
18.6 | 27 |
18.6 | 28 |
19 | 27 |
18.6 | 28 |
18.8 | 27 |
18.6 | 28 |
13.8 | 20 |
13.9 | 24 |
13.8 | 20 |
13.9 | 26 |
18 | 27 |
18 | 28 |
18 | 27 |
18 | 28 |
18 | 27 |
17.6 | 27 |
17.2 | 27 |
16.8 | 26 |
17 | 27 |
16.5 | 25 |
16.2 | 28 |
15.6 | 25 |
16.2 | 25 |
16.4 | 27 |
16.3 | 25 |
16.1 | 25 |
16 | 27 |
16 | 26 |
16.3 | 25 |
16.2 | 27 |
16.4 | 26 |
16.4 | 25 |
16.4 | 27 |
15.8 | 27 |
16 | 25 |
11.8 | 18 |
11.6 | 18 |
12.26 | 18 |
12 | 18 |
12.24 | 18 |
12.2 | 19 |
12.5 | 18.5 |
14 | 22 |
13 | 23 |
11 | 21 |
12 | 20 |
11.8 | 19 |
17.7 | 27 |
17.3 | 26 |
17.2 | 30 |
11.2 | 16 |
11 | 16 |
10.8 | 16 |
10.5 | 17 |
10 | 15 |
10 | 17 |
13.6 | 20 |
18.4 | 28 |
18.6 | 27 |
12.2 | 22 |
12 | 21 |
11.5 | 20 |
10.6 | 19 |
10.3 | 17 |
9.8 | 16 |
15 | 27 |
15.8 | 27 |
16.1 | 25 |
16.6 | 25 |
16.2 | 25 |
15.8 | 27 |
15.6 | 22 |
15 | 18 |
14 | 18 |
12.8 | 18 |
13.2 | 18 |
13 | 18 |
13 | 18 |
12.9 | 17.2 |
12.8 | 17.6 |
12.6 | 17.4 |
12.6 | 17.2 |
12.5 | 17.2 |
12.6 | 17.3 |
11.4 | 16 |
10.2 | 15.6 |
11.4 | 16 |
19.8 | 26 |
19.4 | 26 |
13.2 | 18 |
13.1 | 18 |
13 | 17.8 |
12.6 | 17.4 |
12.4 | 17 |
12.2 | 16.8 |
11.6 | 16.4 |
11.8 | 16.6 |
11.4 | 16 |
11.8 | 16.2 |
11.6 | 16.2 |
12.4 | 17 |
12.2 | 16.6 |
12 | 16.4 |
11.8 | 16 |
12 | 16.2 |
12.4 | 16.5 |
12 | 16 |
11.8 | 16 |
11.4 | 15.9 |
10.8 | 15.6 |
10 | 15 |
11 | 15 |
9.8 | 15 |
10.2 | 16.4 |
15.6 | 18 |
10.4 | 16 |
15.6 | 20 |
15.8 | 22 |
16 | 22 |
16.2 | 22 |
16.2 | 22 |
15.8 | 20 |
15.4 | 20 |
15.2 | 19 |
13.6 | 18.4 |
12.4 | 18 |
13.4 | 18 |
12.2 | 18 |
12.4 | 17 |
12.6 | 17 |
12.2 | 16 |
13 | 16 |
14 | 16 |
14.2 | 16 |
14.4 | 16.5 |
14.8 | 17 |
17.6 | 22 |
18.6 | 22 |
18.7 | 24 |
18.6 | 24 |
18.8 | 26 |
19.4 | 28 |
19.6 | 26 |
15 | 18 |
14.6 | 19 |
19 | 26 |
19 | 26 |
19 | 26 |
18.6 | 26 |
17.6 | 23 |
16.8 | 23 |
16.4 | 22 |
16.8 | 24 |
16.6 | 22 |
16.4 | 22 |
16.4 | 22 |
16.3 | 22 |
16.2 | 22 |
11.8 | 16.6 |
11.2 | 16 |
12 | 16.6 |
11.8 | 16.4 |
12.4 | 17 |
14.3 | 19 |
12.4 | 18 |
13.4 | 18 |
12.6 | 18 |
18.2 | 24 |
18 | 24 |
9.8 | 14.6 |
10.4 | 15.4 |
10.4 | 15 |
10 | 16 |
18.6 | 26 |
20 | 26 |
16.5 | 22 |
17 | 24 |
16 | 20 |