用Excel编制公式对数据进行爱泼斯-普利(Epps-Pulley)正态性检

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77
5.041
51.8735
1.0000
78
5.620
40.4746
0.7001
79
4.634
42.6765
0.8389
80
5.455
48.4246
0.8335
81
4.630
43.7476
0.8357
82
4.807
50.8339
0.9437
83
5.253
55.5209
0.9533
84
4.893
54.8283
统计参数计算结果如下:原始数据见后文
D列求和=
162.5710
二阶中心矩=
TEP=
0.4235 <p为正态分布
TEP的p分位数,n>200时按200计
n
0.9
1-α
0.95
0.975
8
0.271
0.347
0.426
9
0.275
0.35
0.428
10
0.279
0.357
0.437
15
0.284
0.366
0.447
20
0.287
0.368
0.45
30
0.288
0.371
0.459
50
0.29
0.374
0.461
100
0.291
0.376
0.464
200
0.29
0.379
0.467
原始数据及计算过程(红色区域录入数据即可)
序号 1
数据 5.196
和(辅助列,勿删)
计算过程 0.9746
2
5.951
0.2974
11
5.031
7.5986
0.9999
12
4.524
4.5965
0.7534
13
4.413
4.6704
0.6580
14
5.345
9.1170
0.9064
15
5.541
8.6208
0.7667
16
5.260
11.3215
0.9502
17
4.515
7.1374
0.7453
18
3.891
2.4535
0.2452
19
4.993
12.3714
0.9976
20
4.998
13.3966
0.9981
21
6.002
5.0515
0.3746
22
5.115
14.8890
0.9941
23
5.102
15.8693
0.9960
24
5.222
16.7576
0.9658
25
5.710
11.5459
0.6212
26
4.325
8.3828
100
5.138
70.3063
0.9900
30.3033
0.9315
47
4.970
29.5353
0.9947
48
5.159
32.3596
0.9853
49
4.867
29.5907
0.9686
50
4.647
25.4410
0.8479
51
4.461
21.7172
0.6994
52
4.572
25.5178
0.7916
53
5.522
30.2808
0.7820
0.4140
3
4.350
0.2224
0.6021
4
5.464
1.5334
0.8264
5
5.224
2.4045
0.9649
6
5.371
3.4714
0.8905
7
4.829
3.1091
0.9533
8
5.206
5.0668
0.9714
9
5.194
6.0572
0.9754
10
5.200
7.0625
0.9733
19.6627
0.3788
70
5.499
40.6730
0.7996
71
5.168
47.2691
0.9830
72
4.323
27.3284
0.5785
73
5.001
474.883
46.5791
0.9739
75
4.958
48.9684
0.9928
76
5.241
50.5650
0.9584
0.9329
62
5.877
21.8341
0.4750
63
5.104
41.6843
0.9957
64
5.184
42.6317
0.9783
65
4.693
36.5670
0.8793
66
5.186
44.2217
0.9779
67
4.314
25.6889
0.5702
68
5.553
37.2194
0.7560
69
5.996
0.99 0.526 0.537 0.545 0.56 0.564 0.569 0.574 0.583 0.59
34
5.330
22.9778
0.9148
35
5.185
24.2921
0.9780
36
5.619
20.4609
0.7010
37
5.531
23.2404
0.7746
38
5.833
17.0447
用Excel编制公式对数据进行爱泼斯-普利(Epps-Pulley)正态性检验 依据:GBT 4882-2001 数据的统计处理和解释 正态性检验
常用的软件如SPSS等可以进行正态性检验,但未给出计算过程,算法是否获得认 可尚未确定,本文按《GB/T 4882-2001 数据的统计处理和解释 正态性检验》中爱 泼斯-普利(Epps-Pulley)算法,设计表格对数据进行正态性检验计算。
0.5133
39
5.008
25.1518
0.9988
40
4.056
7.5898
0.3565
41
4.765
21.5585
0.9223
42
4.482
16.3282
0.7179
43
4.432
16.2992
0.6747
44
5.380
28.5174
0.8847
45
4.219
13.2511
0.4880
46
5.299
52.3002
0.7572
93
5.260
64.0226
0.9500
94
4.650
52.1829
0.8504
95
4.657
53.5132
0.8551
96
4.900
64.1838
0.9792
97
5.874
34.8237
0.4778
98
4.758
60.1694
0.9188
99
5.055
69.1525
0.9998
54
4.669
29.0982
0.8633
55
5.480
32.5959
0.8148
56
5.519
32.5679
0.7843
57
4.492
25.7656
0.7261
58
4.732
33.0404
0.9035
59
4.256
20.7628
0.5197
60
4.711
34.1971
0.8912
61
5.296
39.2212
0.5804
27
5.865
9.8022
0.4855
28
3.970
5.1531
0.2959
29
4.927
17.8030
0.9864
30
5.326
19.2453
0.9173
31
5.679
15.1143
0.6487
32
5.350
20.8341
0.9033
33
5.371
21.6567
0.8906
0.2352
0.9772
85
4.899
55.9555
0.9789
86
5.571
46.7755
0.7414
87
5.309
57.6785
0.9261
88
5.613
46.4854
0.7058
89
4.990
60.3623
0.9973
90
5.040
62.0608
1.0000
91
5.100
63.4851
0.9963
92
5.552