Practical Data Analysis for Designed Experiments
Practical Data Analysis for Designed Experiments
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DOI：
10.2307/2533695
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发表时间：
1998-12
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影响因子：
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通讯作者：
B. Yandell
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文献类型：
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作者：
B. Yandell
前言A部分：将数据置于背景中实际数据分析因素的影响因素的性质数据汇总表用于统计的情节计算解释问题科学中的协作提问从情节中学习咨询会议的机制哲学与伦理情报，文化与学习写作问题实验设计本书中设计的研究类型实验设计结构处理结构本书中的结构设计问题B部分：使用数据组摘要图形化总结均值和方差假设的估计和透视统计检验假设的区间估计均值检验假设的形式推断比较几种均值的线性对比总体检验差异平方和检验均方和期望均方和和样本量问题多重均值比较试验和比较智慧错误率基于F检验的比较基于比较问题的均值范围比较C部分：数据阶乘设计细胞均值模型的排序效应效应模型可估函数线性约束可估函数的一般形式可估函数问题平衡实验加法模型双因素交互作用全模型高阶模型问题模型选择模型选择交互作用最优模型选择标准每细胞一次观测Tukey检验交互作用问题D：处理不平衡不平衡试验不等样本相加模型I，II、III和IV问题丢失细胞什么是丢失的细胞？连通细胞与不完全设计IV类比较拉丁方设计分数析因设计问题线性模型推论矩阵最小二乘普通最小二乘加权最小二乘极大似然约束固定效应模型方差和回归模型最大似然推论问题E部分：质疑假设残差图偏离假设不正确模型相关反应不等方差非正态数据比较方差不等权比较均值不等权分析方差Satterthwaite近似广义推断检验不等方差假设变换数据比较问题用秩随机蒙特卡罗方法进行数据比较F部分：线性回归检验回归分析图经典检验变量中的错误问题平行线平行线模型调整估计符号图多响应序贯检验驱动协变量调整的序贯检验(类型III)假设的测试不同组的斜率不同问题多响应组差异矩阵的总体测试类比F检验组有何不同？因果模型G部分：确定具有随机效应的固定效应模型或随机效应模型单因素随机模型类变异检验平方差分量和的分布宏菜单问题一般随机模型双因素随机模型非平衡双因素随机模型一般随机模型在双因素随机模型问题中的应用混合效应模型双因素混合模型一般混合模型问题H部分：嵌套试验单位嵌套设计分块嵌套固定效应嵌套和交叉因素嵌套随机效应嵌套问题分裂图设计几种分裂图模型对比分裂图模型的一般嵌套扩展嵌套设计中的小区分裂图不平衡嵌套设计中的协变量解释了嵌套设计中的变异问题第I部分：对受试者的重复测量作为分割图重复测量模型分割图球度下的预期均方图球度下的对比度调整相关调整以分割图随时间的对比多元重复测量问题交叉设计交叉设计交叉模型交叉设计中的混淆平方和的分割复制拉丁方设计一般交叉设计问题参考文献索引
Preface Part A: Placing Data in Context Practical Data Analysis Effect of Factors Nature of Data Summary Tables Plots for Statistics Computing Interpretation Problems Collaboration in Science Asking Questions Learning from Plots Mechanics of a Consulting Session Philosophy and Ethics Intelligence, Culture and Learning Writing Problems Experimental Design Types of Studies Designed Experiments Design Structure Treatment Structure Designs in This Book Problems Part B: Working with Groups of Data Group Summaries Graphical Summaries Estimates of Means and Variance Assumptions and Pivot Statistics Interval Estimates of Means Testing Hypotheses about Means Formal Inference on the Variance Problems Comparing Several Means Linear Contrasts of Means Overall Test of Difference Partitioning Sums of Squares Expected Mean Squares Power and Sample Size Problems Multiple Comparisons of Means Experiment- and Comparison-Wise Error Rates Comparisons Based on F-Tests Comparisons Based on Range of Means Comparisons of Comparisons Problems Part C: Sorting Out Effects with Data Factorial Designs Cell Means Models Effects Models Estimable Functions Linear Constraints General Form of Estimable Functions Problems Balanced Experiments Additive Models Full Models with Two Factors Interaction Plots Higher Orders Models Problems Model Selection Pooling Interactions Selected the "Best" Model Model Selection Criteria One Observation per Cell Tukey's Test for Interaction Problems Part D: Dealing with Imbalance Unbalanced Experiments Unequal Samples Additive Model Types I, II, III and IV Problems Missing Cells What Are Missing Cells? Connected Cells and Incomplete Designs Type IV Comparisons Latin Square Designs Fractional Factorial Designs Problems Linear Models Inference Matrix Preliminaries Ordinary Least Squares Weighted Least Squares Maximum Likelihood Restricted Maximum Likelihood Inference for Fixed Effect Models Anova and Regression Models Problems Part E: Questioning Assumptions Residual Plots Departures from Assumptions Incorrect Model Correlated Responses Unequal Variance Non-Normal Data Problems Comparisons with Unequal Variance Comparing Means When Variances Are Unequal Weighted Analysis of Variances Satterthwaite Approximation Generalized Inference Testing for Unequal Variances Problems Getting Free from Assumptions Transforming Data Comparisons Using Ranks Randomization Monte Carlo Methods Problems Part F: Regressing with Factors Ordered Groups Groups in a Line Testing for Linearity Path Analysis Diagrams Regression Calibration Classical Error in Variables Problems Parallel Lines Parallel Lines Model Adjusted Estimates Plots with Symbols Sequential Tests with Multiple Responses Sequential Tests with Driving Covariate Adjusted (Type III) Tests of Hypotheses Different Slopes for Different Groups Problems Multiple Responses Overall Tests for Group Differences Matrix Analog to F Test How Do Groups Differ? Causal Models Part G: Deciding on Fixed or Random Effects Models with Random Effects Single Factor Random Model Test for Class Variation Distribution of Sums of Squares Variance Components Grand Menu Problems General Random Models Two Factor Random Models Unbalanced Two-Factor Random Model General Random Model Quadratic Forms in Random Effects Application to Two Factor Random Model Problems Mixed Effect Models Two Factor Mixed Models General Mixed Models Problems Part H: Nesting Experimental Units Nested Designs Sub-Sampling Blocking Nested and Crossed Factors Nesting of Fixed Effects Nesting of Random Effects Problems Split Plot Design Several Views of Split Plot Split Plot Model Contrasts in a Split Plot Problems General Nested Designs Extensions of Split Plot Split Plot Imbalance in Nested Designs Covariates in Nested Designs Explained Variation in Nested Designs Problems Part I: Repeating Measures on Subjects Repeated Measures as Split Plot Repeated Measures Designs Repeated Measures Model Split Plot More or Less Expected Mean Squares under Sphericity Contrasts under Sphericity Problems Adjustments for Correlation Adjustments to Split Plot Contrasts over Time Multivariate Repeated Measures Problems Cross-Over Design Cross-Over Model Confounding in Cross-Over Designs Partition of Sum of Squares Replicated Latin Square Design General Cross-Over Designs Problems References Index