ABSTRACT

Outside of randomized experiments, association does not imply causation, and yet there is nothing defective about our knowledge that smoking causes lung cancer, a conclusion reached in the absence of randomized experimentation with humans. How is that possible? If observed associations do not identify causal effects in observational studies, how can a sequence of such associations become decisive?

Two or more associations may each be susceptible to unmeasured biases, yet not susceptible to the same biases. An observational study has two evidence factors if it provides two comparisons susceptible to different biases that may be combined as if from independent studies of different data by different investigators, despite using the same data twice. If the two factors concur, then they may exhibit greater insensitivity to unmeasured biases than either factor exhibits on its own.

Replication and Evidence Factors in Observational Studies includes four parts:

  • A concise introduction to causal inference, making the book self-contained
  • Practical examples of evidence factors from the health and social sciences with analyses in R
  • The theory of evidence factors
  • Study design with evidence factors

A companion R package evident is available from CRAN.

part I|64 pages

Background: Aspects of Causal Inference

chapter 2Chapter 1|24 pages

Causal Inference in Randomized Experiments

chapter Chapter 2|24 pages

Causal Inference in Observational Studies

chapter Chapter 3|14 pages

Replication and Its Limits

part II|70 pages

Evidence Factors in Practice

chapter 66Chapter 4|26 pages

Examples of Studies with Evidence Factors

chapter Chapter 5|22 pages

Simple Analyses with Evidence Factors

chapter Chapter 6|20 pages

Planned Analyses with Evidence Factors

part III|68 pages

Theory of Evidence Factors

chapter 136Chapter 7|8 pages

Dependent P-Values

chapter Chapter 8|20 pages

Treatment Assignments as Permutations

chapter Chapter 9|6 pages

Sets of Treatment Assignments

chapter Chapter 10|12 pages

Probability Distributions for Treatment Assignments

chapter Chapter 11|10 pages

Factors

chapter Chapter 12|10 pages

*Groups of Permutation Matrices

part IV|22 pages

Aspects of Design

chapter 204Chapter 13|16 pages

Constructing Matched Samples with Evidence Factors

chapter Chapter 14|4 pages

Design Elements for Evidence Factors