为比较ABCDE这5种药物注射后的皮肤疱疹大小,选取6只家兔并给没指甲涂先后分别按随机次序注射5种药物。实验结果(疱疹面积为平方mm2)如下表,这批数据能否说明这5种药物注射后产生的皮肤疱疹大小有差异?
| 药物类别 | 家兔编号 | |||||
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | 73 | 75 | 67 | 61 | 69 | 79 |
| 2 | 83 | 81 | 99 | 82 | 85 | 87 |
| 3 | 73 | 60 | 73 | 77 | 68 | 74 |
| 4 | 58 | 71 | 77 | 74 | ||
| 5 | 77 | 75 | 73 | 59 | 85 | 82 |
H0:5种药物注射后效果一致
H1:5种药物注射后效果不一致
手算
| 药物类别 | 家兔编号 | 和 | |||||
| 1 | 2 | 3 | 4 | 5 | 6 | ||
| 1 | 2.5 | 3.5 | 2 | 2 | 2 | 3 | 15 |
| 2 | 5 | 5 | 5 | 5 | 4.5 | 4 | 28.5 |
| 3 | 2.5 | 1 | 3.5 | 4 | 1 | 1.5 | 13.5 |
| 4 | 1 | 2 | 1 | 3 | 3 | 1.5 | 11.5 |
| 5 | 4 | 3.5 | 3.5 | 1 | 4.5 | 5 | 21.5 |
SPSS
Analyze——nonparametric test——two related samples 结果如下:
| Ranks | |
| Mean Rank | |
| A | 2.50 |
| B | 4.75 |
| C | 2.25 |
| D | 1.92 |
| E | 3.58 |
| Test Statisticsa | |
| N | 6 |
| Chi-Square | 13.496 |
| df | 4 |
| Asymp. Sig. | .009 |
| a. Friedman Test | |