管理统计学与SPSS-16.0应用课件习题及答案10复习课程

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习题 10

（1）北京辉仁制药有限公司正在开发一种用于治疗慢性关节炎疼痛的消炎药必得康。公司对该药的生效时间及其与现存药物阿司匹林之间的比较很感兴趣。公司希望该药的生效时间越短越好。表10-17是必得康和阿司匹林的治疗结果数据，其中变量age、gender、health、treat、dosage、status、time的含义分别为年龄、性别（0-男，1-女）、健康状况（1-差，2-一般，3-好）、治疗方法（0-必得康，1-阿司匹林）、剂量（0-低，1-高）、治疗结果（0-截尾值，1-生效数据）、生效时间（小时）。试用生存分析方法比较二者的治疗效果。

表10-17 两种药物的治疗结果数据（time数据原稿有错）

age gender health trea54 54 64 63 43 67 45 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 解：

操作步骤：

1.Analyze → Survival → Kaplan-Meier； 更多精品文档

2 1 3 3 3 1 2 3 3 1 1 2 3 2 2 3 3 3 2 3 3 1 3 3 1 t 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 dosage 1 1 1 1 1 1 status 1 1 1 1 0 1 time 1.2 4 7.4 7.3 7.4 0.6 age gender health 65 40 58 37 69 38 0 1 0 1 0 1 2 2 2 3 2 1 Treat 0 1 0 1 1 1 dosage 0 0 0 1 1 0 status time 1 0 0 1 0 1 5.6 11.2 3.1 0.9 7.7 2.2 1.3 1.3 5.7 6.2 2.4 1.7 2.5 1.8 6.6 0.8 7.8 1 0.9 6.7 8.7 6.1 1.3 1.5 3.6 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 3 3 3 2 3 3 3 2 1 3 2 3 3 2 3 1 2 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 49 59 56 49 60 51 56 63 52 41 51 50 30 46 53 55 61 50 1.9 53 63 2.7 1.1 52 1.3 37 7.8 53 3.1 51 3.6 32 7.2 40 7.1 54 7.5 37 2.6 42 10 59 2.6 42 1.4 66 2.8 60 4.1 57 6.8 59 1.6 34 3 54 学习-----好资料

2.选择time变量为时间变量，选择status为状态变量，点击Define Event按钮，数值1表示该数据是生效数据；

3.点击Continue，选择treat为因素变量，点击Compare Factor； 4.选择Log rank，Breslow，and Tarone-Ware，点击Continue；

5.点击Option，选择Statistics选项组中的Quartiles和Plots选项组中的Survival； 6.点击OK。

结果分析：

Case Processing Summary Censored Treatment New drug Existing drug Overall Total N N of Events N 24 26 50 21 17 38 3 9 12 Percent 12.5% 34.6% 24.0% 观测量汇总表，从表中给出了观测个案的综述、完全数据个数及截尾数据个数和百分比。

Survival Table Cumulative Proportion Surviving at the Time Treatment New drug 1 2 3 4 5 6 7 8 9 10 11 12 13 Time Status Estimate .958 .917 .875 . .792 .750 .708 .667 .625 .583 .542 . .497 Std. Error .041 .056 .068 . .083 .088 .093 .096 .099 .101 .102 . .103 N of Cumulative N of Remaining Events 1 2 3 4 5 6 7 8 9 10 11 11 12 Cases 23 22 21 20 19 18 17 16 15 14 13 12 11 .600 Taken effect 1.100 Taken effect 1.200 Taken effect 1.300 Taken effect 1.300 Taken effect 1.500 Taken effect 1.600 Taken effect 1.700 Taken effect 1.900 Taken effect 2.500 Taken effect 2.600 Taken effect 2.600 Censored 3.000 Taken effect 更多精品文档

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14 15 16 17 18 19 20 21 22 23 24 Existing drug 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3.100 Taken effect 3.100 Censored 3.600 Taken effect 4.000 Taken effect 4.100 Taken effect 5.600 Taken effect 6.200 Taken effect 7.100 Taken effect 7.400 Taken effect 7.800 Taken effect 7.800 Censored .800 Taken effect .900 Taken effect .900 Taken effect 1.000 Taken effect 1.300 Taken effect 1.300 Taken effect 1.400 Taken effect 1.800 Taken effect 2.200 Taken effect 2.400 Taken effect 2.700 Taken effect 2.800 Taken effect 3.600 Censored 5.700 Taken effect 6.100 Censored 6.600 Taken effect 6.700 Censored 6.800 Censored 7.200 Censored 7.300 Taken effect 7.400 Censored 7.500 Censored 7.700 Censored .451 . .401 .351 .301 .251 .201 .150 .100 .050 . .962 . .885 .846 . .769 .731 .692 .654 .615 .577 .538 . .497 . .452 . . . .387 . . . .103 . .103 .102 .099 .094 .088 .079 .067 .049 . .038 . .063 .071 . .083 .087 .091 .093 .095 .097 .098 . .099 . .099 . . . .104 . . . 13 13 14 15 16 17 18 19 20 21 21 1 2 3 4 5 6 7 8 9 10 11 12 12 13 13 14 14 14 14 15 15 15 15 10 9 8 7 6 5 4 3 2 1 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 更多精品文档

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24 25 26 8.700 Taken effect 10.000 Taken effect 11.200 Censored .258 .129 . .126 .111 . 16 17 17 2 1 0 寿命表，分别给出了新药必得康和旧药阿司匹林的生效时间，包括生存时间Time和Status等信息。

Means and Medians for Survival Time Mean 95% Confidence Interval Treatment New drug Existing drug Overall Estimate Std. Error 3.684 5.616 4.699 .513 .805 .508 Lower Bound 2.680 4.037 3.703 Upper Bound 4.689 7.194 5.696 Estimate 3.000 5.700 3.100 Std. Error .621 2.393 .771 aMedian 95% Confidence Interval Lower Bound 1.783 1.010 1.589 Upper Bound 4.217 10.390 4.611 a. Estimation is limited to the largest survival time if it is censored. 生存时间的平均数、标准误差和95%置信区间。新药的平均估计生存时间是3.684天，而旧药的平均预期生存时间为5.616天，总的平均预期生存时间是4.699天。而中位生存时间中，新药为3天，旧药为5.7天。因此，无论是平均生存时间还是中位生存时间，新药的生效时间都要小于旧药的生效时间。

Percentiles 25 Treatment New drug Existing drug Overall 50 75 Estimate Std. Error Estimate Std. Error Estimate Std. Error 6.200 10.000 7.400 1.747 1.160 .426 3.000 5.700 3.100 .621 2.393 .771 1.500 1.400 1.500 .212 .452 .194

Overall Comparisons Chi-Square 3.460 .911 1.846 df 1 1 1 Sig. .063 .340 .174 Log Rank (Mantel-Cox) Breslow (Generalized Wilcoxon) Tarone-Ware 更多精品文档