- Title Pages
- Dedication
- Preface
-
1 Place of Meta-analysis among Other Methods of Research Synthesis -
2 The Procedure of Meta-analysis in a Nutshell -
3 First Steps in Beginning a Meta-analysis -
4 Gathering Data: Searching Literature and Selection Criteria -
5 Extraction and Critical Appraisal of Data -
6 Effect Sizes: Conventional Choices and Calculations -
7 Using Other Metrics of Effect Size in Meta-analysis -
8 Statistical Models and Approaches to Inference -
9 Moment and Least-Squares Based Approaches to Meta-analytic Inference -
10 Maximum Likelihood Approaches to Meta-analysis -
11 Bayesian Meta-analysis -
12 Software for Statistical Meta-analysis -
13 Recovering Missing or Partial Data from Studies: A Survey of Conversions and Imputations for Meta-analysis -
14 Publication and Related Biases -
15 Temporal Trends in Effect Sizes: Causes, Detection, and Implications -
16 Statistical Models for the Meta-analysis of Nonindependent Data -
17 Phylogenetic Nonindependence and Meta-analysis -
18 Meta-analysis of Primary Data -
19 Meta-analysis of Results from Multisite Studies -
20 Quality Standards for Research Syntheses -
21 Graphical Presentation of Results -
22 Power Statistics for Meta-analysis: Tests for Mean Effects and Homogeneity -
23 Role of Meta-analysis in Interpreting the Scientific Literature -
24 Using Meta-analysis to Test Ecological and Evolutionary Theory -
25 History and Progress of Meta-analysis -
26 Contributions of Meta-analysis to Conservation and Management -
27 Conclusions: Past, Present, and Future of Meta-analysis in Ecology and Evolution - Glossary
- Frequently Asked Questions
- References
- List of Contributors
- Subject Index
Statistical Models and Approaches to Inference
Statistical Models and Approaches to Inference
- Chapter:
- (p.89) 8 Statistical Models and Approaches to Inference
- Source:
- Handbook of Meta-analysis in Ecology and Evolution
- Author(s):
Kerrie Mengersen
Christopher H. Schmid
Michael D. Jennions
Jessica Gurevitch
- Publisher:
- Princeton University Press
This chapter provides an introduction and overview of the three statistical components of the meta-analysis: (1) the statistical model that describes how the study-specific estimates of interest will be combined; (2) the key statistical approaches for meta-analysis; and (3) the corresponding estimates, inferences, and decisions that arise from a meta-analysis. First, it describes common statistical models used in ecological meta-analyses and the relationships between these models, showing how they are all variations of the same general structure. It then discusses the three main approaches to analysis and inference, again with the aim of providing a general understanding of these methods. Finally, it briefly considers a number of statistical considerations which arise in meta-analysis. In order to illustrate the concepts described, the chapter considers the Lepidoptera mating example described in Appendix 8.1. This is a meta-analysis of 25 studies of the association between male mating history and female fecundity in Lepidoptera.
Keywords: statistical analysis, meta-analysis, statistical models, statistical inference, Lepidoptera mating
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- Title Pages
- Dedication
- Preface
-
1 Place of Meta-analysis among Other Methods of Research Synthesis -
2 The Procedure of Meta-analysis in a Nutshell -
3 First Steps in Beginning a Meta-analysis -
4 Gathering Data: Searching Literature and Selection Criteria -
5 Extraction and Critical Appraisal of Data -
6 Effect Sizes: Conventional Choices and Calculations -
7 Using Other Metrics of Effect Size in Meta-analysis -
8 Statistical Models and Approaches to Inference -
9 Moment and Least-Squares Based Approaches to Meta-analytic Inference -
10 Maximum Likelihood Approaches to Meta-analysis -
11 Bayesian Meta-analysis -
12 Software for Statistical Meta-analysis -
13 Recovering Missing or Partial Data from Studies: A Survey of Conversions and Imputations for Meta-analysis -
14 Publication and Related Biases -
15 Temporal Trends in Effect Sizes: Causes, Detection, and Implications -
16 Statistical Models for the Meta-analysis of Nonindependent Data -
17 Phylogenetic Nonindependence and Meta-analysis -
18 Meta-analysis of Primary Data -
19 Meta-analysis of Results from Multisite Studies -
20 Quality Standards for Research Syntheses -
21 Graphical Presentation of Results -
22 Power Statistics for Meta-analysis: Tests for Mean Effects and Homogeneity -
23 Role of Meta-analysis in Interpreting the Scientific Literature -
24 Using Meta-analysis to Test Ecological and Evolutionary Theory -
25 History and Progress of Meta-analysis -
26 Contributions of Meta-analysis to Conservation and Management -
27 Conclusions: Past, Present, and Future of Meta-analysis in Ecology and Evolution - Glossary
- Frequently Asked Questions
- References
- List of Contributors
- Subject Index