【实验材料】
1.实验对象:小鼠
2.实验器材和药品:天平、小鼠笼、注射器、曲马多溶液、罗通定溶液、生理盐水、0.6%乙酸溶液
【实验步骤】
1.随即分组 取小鼠45只,称重,染色,随机分为甲、乙、丙3组,每组15只。
2.给药 各鼠分别腹腔注射下列药物0.1ml/10g,记录给药时间。甲组:生理盐水。乙组:曲马多。丙组:罗通定。
3.观察 给药后30min,各组小鼠均腹腔注射0.6%乙酸溶液0.1ml/10g,观察15min内一下指标:
(1)疼痛潜伏期(自腹腔注射0.6%乙酸溶液至小鼠出现扭体反应的时间):记录每只小鼠的疼痛潜伏期(未出现扭体反应者应记为15min),求取各组的平均值并进行t检验,以确定两药的镇痛作用。
(2)扭体次数:记录每只小鼠的扭体次数(未出现扭体反应者记为0次),求取各组的平均值,利用t检验进行组间比较,以确定两药的镇痛作用。
(3)出现扭体小鼠的个数,用卡方检验,以确定两药的镇痛作用。
【实验结果】
1.疼痛潜伏期(min)
| 甲 | 乙 | 丙 |
| 6 | 15+ | 8 |
| 5 | 15+ | 8 |
| 4 | 15+ | 7 |
| 1 | 15+ | 5 |
| 4 | 15+ | 9 |
| 5 | 15+ | 8 |
| 6 | 15+ | 8 |
| 4 | 15+ | 15 |
| 6 | 15+ | 15+ |
| 8 | 15+ | 11 |
| 5 | 9 | 11 |
| 9 | 6 | 15+ |
| 5 | 10 | 15+ |
| 4 | 10 | 7 |
| 4 | 8 | 15+ |
2.扭体次数
| 甲 | 乙 | 丙 |
| 7 | 0 | 6 |
| 27 | 0 | 14 |
| 43 | 0 | 4 |
| 34 | 0 | 23 |
| 1 | 0 | 2 |
| 20 | 0 | 5 |
| 31 | 0 | 8 |
| 22 | 0 | 2 |
| 25 | 0 | 0 |
| 3 | 0 | 4 |
| 33 | 6 | 4 |
| 8 | 15 | 0 |
| 18 | 4 | 0 |
| 25 | 2 | 3 |
| 26 | 2 | 0 |
| 甲 | 乙 | 丙 |
| 15 | 5 | 11 |
1.针对疼痛潜伏期的统计数据,由于有截尾数据,可以采用生存分析方法,比较是否具有统计学意义
由于15min内,乙组和丙组均有几只小鼠未出现扭体反应,可以考虑做生存分析。
| Survival Table | |||||||
| 组别 | Time | Status | Cumulative Proportion Surviving at the Time | N of Cumulative Events | N of Remaining Cases | ||
| Estimate | Std. Error | ||||||
| 甲 | 1 | 1.000 | 出现 | .933 | .0 | 1 | 14 |
| 2 | 4.000 | 出现 | . | . | 2 | 13 | |
| 3 | 4.000 | 出现 | . | . | 3 | 12 | |
| 4 | 4.000 | 出现 | . | . | 4 | 11 | |
| 5 | 4.000 | 出现 | . | . | 5 | 10 | |
| 6 | 4.000 | 出现 | .600 | .126 | 6 | 9 | |
| 7 | 5.000 | 出现 | . | . | 7 | 8 | |
| 8 | 5.000 | 出现 | . | . | 8 | 7 | |
| 9 | 5.000 | 出现 | . | . | 9 | 6 | |
| 10 | 5.000 | 出现 | .333 | .122 | 10 | 5 | |
| 11 | 6.000 | 出现 | . | . | 11 | 4 | |
| 12 | 6.000 | 出现 | . | . | 12 | 3 | |
| 13 | 6.000 | 出现 | .133 | .088 | 13 | 2 | |
| 14 | 8.000 | 出现 | .067 | .0 | 14 | 1 | |
| 15 | 9.000 | 出现 | .000 | .000 | 15 | 0 | |
| 乙 | 1 | 6.000 | 出现 | .933 | .0 | 1 | 14 |
| 2 | 8.000 | 出现 | .867 | .088 | 2 | 13 | |
| 3 | 9.000 | 出现 | .800 | .103 | 3 | 12 | |
| 4 | 10.000 | 出现 | . | . | 4 | 11 | |
| 5 | 10.000 | 出现 | .667 | .122 | 5 | 10 | |
| 6 | 15.000 | 不出现 | . | . | 5 | 9 | |
| 7 | 15.000 | 不出现 | . | . | 5 | 8 | |
| 8 | 15.000 | 不出现 | . | . | 5 | 7 | |
| 9 | 15.000 | 不出现 | . | . | 5 | 6 | |
| 10 | 15.000 | 不出现 | . | . | 5 | 5 | |
| 11 | 15.000 | 不出现 | . | . | 5 | 4 | |
| 12 | 15.000 | 不出现 | . | . | 5 | 3 | |
| 13 | 15.000 | 不出现 | . | . | 5 | 2 | |
| 14 | 15.000 | 不出现 | . | . | 5 | 1 | |
| 15 | 15.000 | 不出现 | . | . | 5 | 0 | |
| 丙 | 1 | 5.000 | 出现 | .933 | .0 | 1 | 14 |
| 2 | 7.000 | 出现 | . | . | 2 | 13 | |
| 3 | 7.000 | 出现 | .800 | .103 | 3 | 12 | |
| 4 | 8.000 | 出现 | . | . | 4 | 11 | |
| 5 | 8.000 | 出现 | . | . | 5 | 10 | |
| 6 | 8.000 | 出现 | . | . | 6 | 9 | |
| 7 | 8.000 | 出现 | .533 | .129 | 7 | 8 | |
| 8 | 9.000 | 出现 | .467 | .129 | 8 | 7 | |
| 9 | 11.000 | 出现 | . | . | 9 | 6 | |
| 10 | 11.000 | 出现 | .333 | .122 | 10 | 5 | |
| 11 | 15.000 | 出现 | .267 | .114 | 11 | 4 | |
| 12 | 15.000 | 不出现 | . | . | 11 | 3 | |
| 13 | 15.000 | 不出现 | . | . | 11 | 2 | |
| 14 | 15.000 | 不出现 | . | . | 11 | 1 | |
| 15 | 15.000 | 不出现 | . | . | 11 | 0 |
| Median Survival Time | ||
| First-order Controls | Med Time | |
| 组别 | 甲 | 5.3750 |
| 乙 | 15.0000 | |
| 丙 | 9.5000 | |
| Pairwise Comparisonsa | ||||
| (I) 组别 | (J) 组别 | Wilcoxon (Gehan) Statistic | df | Sig. |
| 甲 | 乙 | 20.653 | 1 | .000 |
| 丙 | 15.797 | 1 | .000 | |
| 乙 | 甲 | 20.653 | 1 | .000 |
| 丙 | 4.254 | 1 | .039 | |
| 丙 | 甲 | 15.797 | 1 | .000 |
| 乙 | 4.254 | 1 | .039 | |
对资料进行两两比较,按α=0.05总的检验水准,每次比较必须采用调整的检验水准α’=0.05/((3-1)3/2)=0.0167。
| 经SPSS19.0软件进行统计学分析,可得: | ||||
| 半数生存期(min) | P值 | |||
| 甲 | 5.375 | <0.05 | ||
| 乙 | 15 | |||
| 丙 | 9.5 | |||
*甲-丙,P<0.0167
*乙-丙,P>0.0167
从生存分析中可以看出,甲和乙、甲和丙,p值均<0.0167,差别均有统计学意义,即乙组的镇痛效果比甲组好,丙组的镇痛效果比甲组好;而乙和丙,p值>0.0167,尚不能认为乙丙两组的差别有统计学意义。
生存曲线
2.针对扭体次数的统计数据,由于方差不齐,乙组和丙组不服从正态分布,选择非参数统计的秩和检验法,比较差异是否具有统计学意义。
| Descriptives | ||||||||
| 扭体次数 | ||||||||
| N | Mean | Std. Deviation | Std. Error | 95% Confidence Interval for Mean | Minimum | Maximum | ||
| Lower Bound | Upper Bound | |||||||
| 甲 | 15 | 21.5333 | 12.20578 | 3.15152 | 14.7740 | 28.2927 | 1.00 | 43.00 |
| 乙 | 15 | 1.9333 | 4.04381 | 1.04411 | -.3061 | 4.1727 | .00 | 15.00 |
| 丙 | 15 | 5.0000 | 6.21059 | 1.60357 | 1.5607 | 8.4393 | .00 | 23.00 |
| Total | 45 | 9.48 | 11.86021 | 1.76802 | 5.9257 | 13.0521 | .00 | 43.00 |
21.5333、3.15152,1.9333、1.04411,5、1.60357
| Tests of Normality | |||||||
| 组别 | Kolmogorov-Smirnova | Shapiro-Wilk | |||||
| Statistic | df | Sig. | Statistic | df | Sig. | ||
| 扭体次数 | 甲 | .145 | 15 | .200* | .952 | 15 | .556 |
| 乙 | .350 | 15 | .000 | .563 | 15 | .000 | |
| 丙 | .236 | 15 | .024 | .757 | 15 | .001 | |
| *. This is a lower bound of the true significance. | |||||||
| a. Lilliefors Significance Correction | |||||||
| Test of Homogeneity of Variances | |||
| 扭体次数 | |||
| Levene Statistic | df1 | df2 | Sig. |
| 7.793 | 2 | 42 | .001 |
采取非参数检验的秩和检验法:
Kruskal-Wallis Test
| Ranks | |||||
| 组别 | N | Mean Rank | |||
| 扭体次数 | 甲 | 15 | 35.47 | ||
| 乙 | 15 | 12.93 | |||
| 丙 | 15 | 20.60 | |||
| Total | 45 | ||||
Test Statisticsa,b | |||||
| 扭体次数 | |||||
| Chi-Square | 23.571 | ||||
| Df | 2 | ||||
| Asymp. Sig. | .000 | ||||
| a. Kruskal Wallis Test | |||||
| b.Grouping Variable: 组别 | |||||
对资料进行两两比较,按α=0.05总的检验水准,每次比较必须采用调整的检验水准α’=0.05/((3-1)3/2)=0.0167
Mann-Whitney Test1
| Ranks | ||||||
| 组别 | N | Mean Rank | Sum of Ranks | |||
| 扭体次数 | 甲 | 15 | 22.33 | 335.00 | ||
| 乙 | 15 | 8.67 | 130.00 | |||
| Total | 30 | |||||
Test Statisticsa | ||||||
| 扭体次数 | ||||||
| Mann-Whitney U | 10.000 | |||||
| Wilcoxon W | 130.000 | |||||
| Z | -4.333 | |||||
| Asymp. Sig. (2-tailed) | .000 | |||||
| Exact Sig. [2*(1-tailed Sig.)] | .000b | |||||
| a. Grouping Variable: 组别 | ||||||
| b. Not corrected for ties. | ||||||
Mann-Whitney Test2
| Ranks | ||||||
| 组别 | N | Mean Rank | Sum of Ranks | |||
| 扭体次数 | 甲 | 15 | 21.13 | 317.00 | ||
| 丙 | 15 | 9.87 | 148.00 | |||
| Total | 30 | |||||
| Test Statisticsa | ||||||
| 扭体次数 | ||||||
| Mann-Whitney U | 28.000 | |||||
| Wilcoxon W | 148.000 | |||||
| Z | -3.512 | |||||
| Asymp. Sig. (2-tailed) | .000 | |||||
| Exact Sig. [2*(1-tailed Sig.)] | .000b | |||||
| a. Grouping Variable: 组别 | ||||||
| b. Not corrected for ties. | ||||||
Mann-Whitney Test3
| Ranks | ||||||
| 组别 | N | Mean Rank | Sum of Ranks | |||
| 扭体次数 | 乙 | 15 | 12.27 | 184.00 | ||
| 丙 | 15 | 18.73 | 281.00 | |||
| Total | 30 | |||||
| Test Statisticsa | ||||||
| 扭体次数 | ||||||
| Mann-Whitney U | .000 | |||||
| Wilcoxon W | 184.000 | |||||
| Z | -2.127 | |||||
| Asymp. Sig. (2-tailed) | .033 | |||||
| Exact Sig. [2*(1-tailed Sig.)] | .045b | |||||
| a. Grouping Variable: 组别 | ||||||
| b. Not corrected for ties. | ||||||
SPSS19.0软件进行统计学分析,可得:
| median | min-max | mean rank | P value | |
| 甲 | 25 | 1-43 | 35.47 | <0.05 |
| 乙 | 0 | 0-15 | 12.93 | |
| 丙 | 4 | 0-23 | 20.6 |
*甲-丙,Z=-3.512,P<0.0167
*乙-丙,Z=-2.127,P>0.0167
从秩和检验结果中可以看出,甲和乙、甲和丙,p值均<0.0167,差别均有统计学意义,即乙组的镇痛效果比甲组好,丙组的镇痛效果比甲组好;乙和丙,p值>0.0167,尚不能认为乙丙两组的差别有统计学意义。
结合之前的统计量可以做出
3.针对出现扭体小鼠的个数的统计数据可以采用卡方检验分析方法,比较是否具有统计学差异。
Crosstabs
| Case Processing Summary | |||||||||||
| Cases | |||||||||||
| Valid | Missing | Total | |||||||||
| N | Percent | N | Percent | N | Percent | ||||||
| 组别*结果 | 45 | 100.0% | 0 | 0.0% | 45 | 100.0% | |||||
组别 * 结果 Crosstabulation | |||||||||||
| Count | |||||||||||
| 结果 | Total | ||||||||||
| 扭体 | 未扭体 | ||||||||||
| 组别 | 1.00 | 15 | 0 | 15 | |||||||
| 2.00 | 5 | 10 | 15 | ||||||||
| 3.00 | 11 | 4 | 15 | ||||||||
| Total | 31 | 14 | 45 | ||||||||
| Chi-Square Tests | |||
| Value | Df | Asymp. Sig. (2-sided) | |
| Pearson Chi-Square | 15.760a | 2 | .000 |
| Likelihood Ratio | 19.306 | 2 | .000 |
| Linear-by-Linear Association | 2.433 | 1 | .119 |
| N of Valid Cases | 45 | ||
| a. 3 cells (50.0%) have expected count less than 5. The minimum expected count is 4.67. | |||
对资料进行两两比较,按α=0.05总的检验水准,每次比较必须采用调整的检验水准α’=0.05/((3-1)3/2)=0.0167
Crosstabs1
| Case Processing Summary | ||||||
| Cases | ||||||
| Valid | Missing | Total | ||||
| N | Percent | N | Percent | N | Percent | |
| 组别 * 结果 | 30 | 100.0% | 0 | 0.0% | 30 | 100.0% |
| 组别 * 结果 Crosstabulation | ||||||||||
| Count | ||||||||||
| 结果 | Total | |||||||||
| 扭体 | 不扭体 | |||||||||
| 组别 | 甲 | 15 | 0 | 15 | ||||||
| 乙 | 5 | 10 | 15 | |||||||
| Total | 20 | 10 | 30 | |||||||
| Chi-Square Tests | ||||||||||
| Value | df | Asymp. Sig. (2-sided) | Exact Sig. (2-sided) | Exact Sig. (1-sided) | ||||||
| Pearson Chi-Square | 15.000a | 1 | .000 | |||||||
| Continuity Correctionb | 12.150 | 1 | .000 | |||||||
| Likelihood Ratio | 19.095 | 1 | .000 | |||||||
| Fisher's Exact Test | .000 | .000 | ||||||||
| Linear-by-Linear Association | 14.500 | 1 | .000 | |||||||
| N of Valid Cases | 30 | |||||||||
| a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 5.00. | ||||||||||
| b. Computed only for a 2x2 table | ||||||||||
Crosstabs2
| Case Processing Summary | ||||||
| Cases | ||||||
| Valid | Missing | Total | ||||
| N | Percent | N | Percent | N | Percent | |
| 组别 * 结果 | 30 | 100.0% | 0 | 0.0% | 30 | 100.0% |
| 组别 * 结果 Crosstabulation | ||||||||||
| Count | ||||||||||
| 结果 | Total | |||||||||
| 扭体 | 不扭体 | |||||||||
| 组别 | 甲 | 15 | 0 | 15 | ||||||
| 丙 | 11 | 4 | 15 | |||||||
| Total | 26 | 4 | 30 | |||||||
| Chi-Square Tests | ||||||||||
| Value | df | Asymp. Sig. (2-sided) | Exact Sig. (2-sided) | Exact Sig. (1-sided) | ||||||
| Pearson Chi-Square | 4.615a | 1 | .032 | |||||||
| Continuity Correctionb | 2.596 | 1 | .107 | |||||||
| Likelihood Ratio | 6.163 | 1 | .013 | |||||||
| Fisher's Exact Test | .100 | .050 | ||||||||
| Linear-by-Linear Association | 4.462 | 1 | .035 | |||||||
| N of Valid Cases | 30 | |||||||||
| a. 2 cells (50.0%) have expected count less than 5. The minimum expected count is 2.00. | ||||||||||
| b. Computed only for a 2x2 table | ||||||||||
Crosstabs3
| Case Processing Summary | |||||||||||||||||
| Cases | |||||||||||||||||
| Valid | Missing | Total | |||||||||||||||
| N | Percent | N | Percent | N | Percent | ||||||||||||
| 组别 * 结果 | 30 | 100.0% | 0 | 0.0% | 30 | 100.0% | |||||||||||
| 组别 * 结果 Crosstabulation | |||||||||||||||||
| Count | |||||||||||||||||
| 结果 | Total | ||||||||||||||||
| 扭体 | 不扭体 | ||||||||||||||||
| 组别 | 乙 | 5 | 10 | 15 | |||||||||||||
| 丙 | 11 | 4 | 15 | ||||||||||||||
| Total | 16 | 14 | 30 | ||||||||||||||
| Chi-Square Tests | |||||||||||||||||
| Value | df | Asymp. Sig. (2-sided) | Exact Sig. (2-sided) | Exact Sig. (1-sided) | |||||||||||||
| Pearson Chi-Square | 4.821a | 1 | .028 | ||||||||||||||
| Continuity Correctionb | 3.348 | 1 | .067 | ||||||||||||||
| Likelihood Ratio | 4.963 | 1 | .026 | ||||||||||||||
| Fisher's Exact Test | .066 | .033 | |||||||||||||||
| Linear-by-Linear Association | 4.661 | 1 | .031 | ||||||||||||||
| N of Valid Cases | 30 | ||||||||||||||||
| a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 7.00. | |||||||||||||||||
| b. Computed only for a 2x2 table |
因此,通过卡方检验,结合实际情况分析,可得出乙组的镇痛效果比甲组好,而乙组和丙组以及甲组和丙组的镇痛效果,尚不能认为有统计学差异。
综上所述,选用小鼠出现扭体反应的阈值时间作为实验数据,采用生存分析,可得出乙组的镇痛效果比甲组好,丙组的镇痛效果比甲组好,而乙组和丙组的差异,尚不能认为有统计学意义;选用小鼠出现扭体反应的次数作为实验数据,采用秩和检验,可得出乙组的镇痛效果比甲组好,丙组的镇痛效果比甲组好,而乙组和丙组的差异,尚不能认为有统计学意义;选用各组小鼠出现扭体反应的只数作为实验数据,可得出乙组的镇痛效果比甲组好,而乙组和丙组以及甲组和丙组的镇痛效果,尚不能认为有统计学差异。
【注意事项】
1.0.6%乙酸溶液宜现用现配,因存放过久常使其作用减弱。
2.观察扭体反应时,应将小鼠放于小鼠笼中观察,切忌放于平滑桌面上。
3.为避免主观因素对实验结果的影响,可采取单盲法,即不知道各药名称,而以甲、乙、丙代之,待实验观察完毕,通过分析实验结果,再明确所用药物下载本文