1、统计考试内容手工整理一:单样本T检验:例3-5 某医生测量了36名从事铅作业男性工人的血红蛋白含量,算得其均数为130.83g/L,标准差为25.74g/L。问从事铅作业工人的血红蛋白是否不同于正常成年男性平均值140g/L?One-Sample Test单样本检验 Test Value实验值 = 140 tDf自由度Sig. (2-tailed)P值(双侧)Mean Difference均数差值95% Confidence Interval of the Difference差值的95%可信区间 LowerUpper血红蛋白含量-2.13735.040-9.16667-17.8762-.45
2、72二:配对样本T检验:例3-6 为比较两种方法对乳酸饮料中脂肪含量测定结果是否不同,随机抽取了10份乳酸饮料制品,分别用脂肪酸水解法和哥特里罗紫法测定其结果如表3-5第(1)(3)栏。问两法测定结果是否不同?表3-5 两种方法对乳酸饮料中脂肪含量的测定结果(%)编号(1)哥特里罗紫法(2)脂肪酸水解法(3)差值d(4)=(2) (3)10.8400.58020.5910.50930.6740.50040.6320.31650.6870.33760.9780.51770.7500.45480.7300.51291.2000.997100.8700.506 Paired Samples Test
3、配对样本检验 Paired Differencestdf自由度Sig. (2-tailed)双侧P值 Mean差值均数Std. Deviation标准差Std. Error Mean标准误95% Confidence Interval of the Difference差值的95%可信区间 LowerUpper Pair 1哥特里罗紫法脂肪酸水解法.272400.108681.034368.194654.3501467.9269.000三:两样本T检验:(成组设计两样本T检验)例3-7 为研究国产四类新药阿卡波糖胶囊的降血糖效果,某医院用40名2型糖尿病病人进行同期随机对照试验。试验者将这些病
4、人随机等分到试验组(用阿卡波糖胶囊)和对照组(用拜糖平胶囊),分别测得试验开始前和8周后的空腹血糖,算得空腹血糖下降值见表3-6,能否认为该国产四类新药阿卡波糖胶囊与拜糖平胶囊对空腹血糖的降糖效果不同?表3-6 试验组和对照组空腹血糖下降值(mmol/L)试验组X1(n1=20)-0.70-5.602.002.800.703.504.005.807.10-0.502.50-1.601.703.000.404.504.602.506.00-1.40对照组X2(n2=20)3.706.505.005.200.800.200.603.406.60-1.106.003.802.001.602.002.
5、201.203.101.70-2.00 Independent Samples TesT独立样本T检验 Levenes Test for Equality of VariancesF方差齐性检验t-test for Equality of Means两均数是否相等的T检验 FSig.tDf自由度Sig. (2-tailed)双侧P值Mean Difference均数差值Std. Error Difference差值标准误95% Confidence Interval of the Difference差值的95%可信区间 LowerUpper空腹血糖下降值Equal variances ass
6、umed假设方差齐性.578.452-.64238.525-.56000.87245-2.326181.20618 Equal variances not assumed假设方差不齐 -.64236.086.525-.56000.87245-2.329261.209264完全随机设计资料的方差分析:例4-2 某医生为了研究一种降血脂新药的临床疗效,按统一纳入标准选择120名高血脂患者,采用完全随机设计方法将患者等分为4组(具体分组方法见例4-1),进行双盲试验。6周后测得低密度脂蛋白作为试验结果,见表4-3。问4个处理组患者的低密度脂蛋白含量总体均数有无差别?表4-3 4个处理组低密度脂蛋白测
7、量值(mmol/L)分 组测量值统计量n安慰剂组3.534.594.342.663.593.132.642.563.503.25303.43102.91367.853.304.043.533.563.854.073.523.934.192.961.373.932.332.984.003.552.964.34.162.59 降血脂新药302.7281.46233.002.4g组2.423.364.322.342.682.951.563.111.811.771.982.632.862.932.172.722.652.222.902.972.362.562.522.272.983.722.803.5
8、74.022.314.8g组2.862.282.392.282.482.283.212.232.322.68302.7080.94225.542.662.322.613.642.583.652.663.682.653.023.482.422.412.663.292.703.042.811.971.687.2g组0.891.061.081.271.631.891.192.172.281.72301.9758.99132.131.981.742.163.372.971.690.942.112.812.521.312.511.881.413.191.922.471.022.103.71ANOVA方差
9、分析 Sum of Squares离均差平方和Df自由度Mean Square均方MSFSig.P值Between Groups组间变异32.156310.71924.884.000Within Groups组内变异49.967116.431 Total总变异82.123119 5随机区组设计资料的方差分析:例4-4 某研究者采用随机区组设计进行实验,比较三种抗癌药物对小白鼠肉瘤抑瘤效果,先将15只染有肉瘤小白鼠按体重大小配成5个区组,每个区组内3只小白鼠随机接受三种抗癌药物(具体分配方法见例4-3),以肉瘤的重量为指标,试验结果见表4-9。问三种不同的药物的抑瘤效果有无差别?表4-9 不同药
10、物作用后小白鼠肉瘤重量(g)区组A药B药C药10.820.650.511.9820.730.540.231.5030.430.340.281.0540.410.210.310.9350.680.430.241.353.072.171.576.810.6140.4340.314 0.4542.02071.05870.54513.6245 Tests of Between-Subjects EffectsDependent Variable: weight Source变异来源Type III Sum of Squares三型离均差平方和Df自由度Mean Square均方MSF统计量FSig.P
11、值Corrected Model校正的模型.456(a)6.0767.964.005Intercept截距3.09213.092323.742.000Group区组间.2284.0575.978.016Treat处理间.2282.11411.937.004Error误差.0768.010 Total合计3.62415 Corrected Total总变异(校正的合计).53314 a R Squared = .857 (Adjusted R Squared = .749)6拉丁方设计资料的方差分析:例4-5 某研究者为了比较甲、乙、丙、丁、戊、己 6种药物给家兔注射后产生的皮肤疱疹大小(mm2
12、),采用拉丁方设计,选用6只家兔、并在每只家兔的6个不同部位进行注射。试验结果见表4-11,试作方差分析。表4-11 例4-5拉丁方设计与试验结果(皮肤疱疹大小,mm2)家兔编号(行区组)注射部位编号(列区组)行区组合计(Rj)1234561C(87)B(75)E(81)D(75)A(84)F(66)468.078.02B(73)A(81)D(87)C(85)F(64)E(79)469.078.23F(73)E(73)B(74)A(78)D(73)C(77)448.074.74A(77)F(68)C(69)B(74)E(76)D(73)437.072.85D(64)C(64)F(72)E(76)B(70)A(81)427.071.26E(75)D(77)A(82)F(61)C(82)B(61)438.073.0列
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