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| '''8.6 结论 Conclusion 281''' | | '''8.6 结论 Conclusion 281''' |
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− | === 9 Probability of Causation: Interpretation and Identification 283 === | + | === 9 因果概率:解释和识别 Probability of Causation: Interpretation and Identification 283 === |
− | '''9.1 Introduction 283''' | + | '''9.1 简介 Introduction 283''' |
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− | '''9.2 Necessary and Sufficient Causes: Conditions of Identification 286''' | + | '''9.2 必要和充分因果:条件和识别 Necessary and Sufficient Causes: Conditions of Identification 286''' |
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− | 9.2.1 Definitions, Notation, and Basic Relationships 286 | + | 9.2.1 定义,记号和基本关系 Definitions, Notation, and Basic Relationships 286 |
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− | 9.2.2 Bounds and Basic Relationships under Exogeneity 289 | + | 9.2.2 外生性下的边界和基本关系 Bounds and Basic Relationships under Exogeneity 289 |
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− | 9.2.3 Identifiability under Monotonicity and Exogeneity 291 | + | 9.2.3 单调性和外生性下的可识别性 Identifiability under Monotonicity and Exogeneity 291 |
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− | 9.2.4 Identifiability under Monotonicity and Nonexogeneity 293 | + | 9.2.4 单调性和非外生性下的可识别性 Identifiability under Monotonicity and Nonexogeneity 293 |
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− | '''9.3 Examples and Applications 296''' | + | '''9.3 例子和应用 Examples and Applications 296''' |
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− | 9.3.1 Example 1: Betting against a Fair Coin 296 | + | 9.3.1 例1:公平硬币赌博 Example 1: Betting against a Fair Coin 296 |
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− | 9.3.2 Example 2: The Firing Squad 297 | + | 9.3.2 例2:刑法执行 Example 2: The Firing Squad 297 |
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− | 9.3.3 Example 3: The Effect of Radiation on Leukemia 299 | + | 9.3.3 例3:辐射对白血病的影响 Example 3: The Effect of Radiation on Leukemia 299 |
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− | 9.3.4 Example 4: Legal Responsibility from Experimental and Nonexperimental Data 302 | + | 9.3.4 例4:来自实验数据和非实验数据的合法责任 Example 4: Legal Responsibility from Experimental and Nonexperimental Data 302 |
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− | 9.3.5 Summary of Results 303 | + | 9.3.5 结果总结 Summary of Results 303 |
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− | '''9.4 Identification in Nonmonotonic Models 304''' | + | '''9.4 识别非单调模型 Identification in Nonmonotonic Models 304''' |
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− | '''9.5 Conclusions 307''' | + | '''9.5 总结 Conclusions 307''' |
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− | === 10 The Actual Cause 309 === | + | === 10 实际原因 The Actual Cause 309 === |
− | '''10.1 Introduction: The Insufficiency of Necessary Causation 309''' | + | '''10.1 简介:必要因果的不充分性 Introduction: The Insufficiency of Necessary Causation 309''' |
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− | 10.1.1 Singular Causes Revisited 309 | + | 10.1.1 重新回顾单原因 Singular Causes Revisited 309 |
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− | 10.1.2 Preemption and the Role of Structural Information 311 | + | 10.1.2 抢占和结构信息的作用 Preemption and the Role of Structural Information 311 |
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− | 10.1.3 Overdetermination and Quasi-Dependence 313 | + | 10.1.3 过度确定和伪依赖性 Overdetermination and Quasi-Dependence 313 |
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− | 10.1.4 Mackie's INUS Condition 313 | + | 10.1.4 麦基的INUS条件 Mackie's INUS Condition 313 |
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− | '''10.2 Production, Dependence, and Sustenance 316''' | + | '''10.2 产生,依赖和维持 Production, Dependence, and Sustenance 316''' |
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− | '''10.3 Causal Beams and Sustenance-Based Causation 318''' | + | '''10.3 因果束和基于维持的因果关系 Causal Beams and Sustenance-Based Causation 318''' |
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− | 10.3.1 Causal Beams: Definitions and Implications 318 | + | 10.3.1 因果束:定义及其含义 Causal Beams: Definitions and Implications 318 |
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− | 10.3.2 Examples: From Disjunction to General Formulas 320 | + | 10.3.2 例子:从析取式到通用公式 Examples: From Disjunction to General Formulas 320 |
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− | 10.3.3 Beams, Preemption, and the Probability of Single-Event Causation 322 | + | 10.3.3 束,抢占和单事件因果的概率 Beams, Preemption, and the Probability of Single-Event Causation 322 |
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− | 10.3.4 Path-Switching Causation 324 | + | 10.3.4 路径切换因果 Path-Switching Causation 324 |
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− | 10.3.5 Temporal Preemption 325 | + | 10.3.5 时序抢占 Temporal Preemption 325 |
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− | '''10.4 Conclusions 327''' | + | '''10.4 总结 Conclusions 327''' |
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− | === 11 Reflections, Elaborations, and Discussions with Readers 331 === | + | === 11 跟读者的回应,阐述和讨论 Reflections, Elaborations, and Discussions with Readers 331 === |
− | '''11.1 Causal, Statistical, and Graphical Vocabulary 331''' | + | '''11.1 因果,统计和图的相关术语 Causal, Statistical, and Graphical Vocabulary 331''' |
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− | 11.1.1 Is the Causal-Statistical Dichotomy Necessary? 331 | + | 11.1.1 有必要区分因果和统计吗? Is the Causal-Statistical Dichotomy Necessary? 331 |
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− | 11.1.2 d-Separation without Tears (Chapter 1, pp. 16–18) 335 | + | 11.1.2 不痛哭的d-分离(第一章) d-Separation without Tears (Chapter 1, pp. 16–18) 335 |
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− | '''11.2 Reversing Statistical Time (Chapter 2, p. 58–59) 337''' | + | '''11.2 逆统计时间(第二章) Reversing Statistical Time (Chapter 2, p. 58–59) 337''' |
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− | '''11.3 Estimating Causal Effects 338''' | + | '''11.3 估计因果效应 Estimating Causal Effects 338''' |
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− | 11.3.1 The Intuition behind the Back-Door Criterion (Chapter 3, p. 79) 338 | + | 11.3.1 后门准则的直观理解(第三章) The Intuition behind the Back-Door Criterion (Chapter 3, p. 79) 338 |
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− | 11.3.2 Demystifying “Strong Ignorability” 341 | + | 11.3.2 揭秘“强可忽略性” Demystifying “Strong Ignorability” 341 |
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− | 11.3.3 Alternative Proof of the Back-Door Criterion 344 | + | 11.3.3 后门准则的另一种证明 Alternative Proof of the Back-Door Criterion 344 |
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− | 11.3.4 Data vs. Knowledge in Covariate Selection 346 | + | 11.3.4 协变量选择中的数据与知识 Data vs. Knowledge in Covariate Selection 346 |
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− | 11.3.5 Understanding Propensity Scores 348 | + | 11.3.5 理解倾向得分 Understanding Propensity Scores 348 |
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− | 11.3.6 The Intuition behind do-Calculus 352 | + | 11.3.6 do-算子的直观理解 The Intuition behind do-Calculus 352 |
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− | 11.3.7 The Validity of G-Estimation 352 | + | 11.3.7 G-估计的有效性 The Validity of G-Estimation 352 |
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− | '''11.4 Policy Evaluation and the do-Operator 354''' | + | '''11.4 策略评估和do-算子 Policy Evaluation and the do-Operator 354''' |
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− | 11.4.1 Identifying Conditional Plans (Section 4.2, p. 113) 354 | + | 11.4.1 识别条件计划(4.2节)Identifying Conditional Plans (Section 4.2, p. 113) 354 |
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− | 11.4.2 The Meaning of Indirect Effects 355 | + | 11.4.2 间接效应的含义 The Meaning of Indirect Effects 355 |
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− | 11.4.3 Can do(x) Represent Practical Experiments? 358 | + | 11.4.3 do(x)能代表实际的实验吗? Can do(x) Represent Practical Experiments? 358 |
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− | 11.4.4 Is the do(x) Operator Universal? 359 | + | 11.4.4 do(x)算子是通用的吗? Is the do(x) Operator Universal? 359 |
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| 11.4.5 Causation without Manipulation!!! 361 | | 11.4.5 Causation without Manipulation!!! 361 |