Introduction
Meta-analysis methodology is a powerful statistical approach used in systematic reviews to synthesize and analyze results from multiple studies addressing a common research question. This methodology combines quantitative data from various primary studies to generate a more precise estimate of the overall effect size or treatment efficacy. By employing meta-analysis methodology, researchers can conduct a comprehensive systematic review and meta-analysis, providing a higher level of evidence than individual studies alone.
The importance of meta-analysis methodology in research synthesis cannot be overstated. It serves as a crucial tool in evidence-based practice, particularly in medical research and health research. By systematically combining and analyzing data from multiple studies, meta-analyses can provide more reliable and generalizable findings than single studies, reducing the risk of drawing conclusions based on limited or biased evidence.
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Meta-Analysis Methodology Definition
Meta-analysis methodology refers to the systematic and statistical procedures used to combine and analyze data from multiple independent studies on a specific research question. This approach is an integral part of conducting a systematic review and meta-analysis, which aims to provide a comprehensive and objective summary of the available evidence on a particular topic.
The primary goal of meta-analysis methodology is to increase statistical power and precision in estimating treatment effects or relationships between variables. By pooling data from multiple studies, meta-analyses can overcome limitations of individual studies, such as small sample sizes or inconclusive results. This methodology is particularly valuable in fields where research findings may be conflicting or where the effect sizes of interventions are small but clinically significant.
Key components of meta-analysis methodology include:
- Systematic literature review: A comprehensive search and selection of relevant studies based on predefined criteria.
- Data extraction: Systematically collecting information from included studies.
- Quality assessment: Evaluating the methodological rigor of included studies.
- Statistical analysis: Combining data using appropriate meta-analysis methodology techniques.
- Heterogeneity assessment: Examining variations in effect sizes across studies.
- Sensitivity analyses: Testing the robustness of findings under different assumptions.
- Publication bias assessment: Evaluating the potential impact of unpublished studies on results.
Meta-analysis methodology is not limited to a single field of study. It is widely used across various disciplines, including medicine, psychology, education, and social sciences. In medical research, meta-analysis methodology of randomized controlled trials are considered the highest level of evidence in the hierarchy of research designs, making them invaluable for informing clinical practice guidelines and health policy decisions.
What are the three types of meta-analysis?
When conducting a meta-analysis methodology, researchers may employ different types of meta-analysis methodology depending on the nature of the research question and the available data. The three main types of meta-analysis are:
- Fixed-effect meta-analysis methodology: This type of meta-analysis assumes that there is one true effect size that underlies all the studies included in the analysis. In a fixed-effect model, the observed differences between study results are attributed solely to sampling error. This approach is typically used when the studies are believed to be homogeneous and when the goal is to estimate a common effect size across similar populations.
Key characteristics of fixed-effect meta-analysis methodology:
- Assumes a single, common effect size across all studies
- Gives more weight to larger studies with smaller standard errors
- Provides narrower confidence intervals compared to random-effects models
- Appropriate when studies are functionally identical and aim to estimate the same effect
- Random-effects meta-analysis methodology: Random-effects meta-analysis acknowledges that the true effect size may vary between studies due to differences in populations, interventions, or study designs. This approach assumes that the observed effect sizes in individual studies are drawn from a distribution of true effect sizes. Random-effects meta-analyses are often preferred when there is significant heterogeneity between studies, as they provide a more conservative estimate of the overall effect size.
Key characteristics of random-effects meta-analysis methodology:
- Assumes that true effect sizes vary across studies
- Accounts for both within-study and between-study variability
- Provides wider confidence intervals compared to fixed-effect models
- More appropriate when combining heterogeneous studies
- Allows for generalization beyond the included studies
- Network meta-analysis methodology: Also known as multiple treatments meta-analysis, this advanced type of meta-analysis allows for the comparison of multiple interventions simultaneously, even when direct head-to-head comparisons are not available in primary studies. Network meta-analysis can provide valuable insights into the relative efficacy of different treatments and can be particularly useful in medical research where multiple treatment options exist for a given condition.
Key characteristics of network meta-analysis methodology:
- Enables comparison of multiple interventions in a single analysis
- Combines direct and indirect evidence
- Allows for ranking of treatments based on efficacy or safety
- Useful when head-to-head comparisons are limited or unavailable
- Requires careful consideration of assumptions, such as transitivity and consistency
Each type of meta-analysis methodology has its strengths and limitations, and the choice of methodology depends on the specific research context and objectives. Researchers conducting a systematic review and meta-analysis must carefully consider which approach is most appropriate for their study.
Eight steps in conducting a meta-analysis
Conducting a meta-analysis methodology is a rigorous process that requires careful planning and execution. Here are the eight key steps in conducting a meta-analysis, along with detailed explanations of each:
- Formulate the research question: The first step in conducting a meta-analysis is to clearly define the research question and objectives. This involves specifying the PICO elements (Population, Intervention, Comparison, and Outcome) and establishing the scope of the review. A well-formulated research question guides the entire meta-analysis process and ensures that the results will be relevant and meaningful.
Example: “In adults with type 2 diabetes (P), how does metformin (I) compare to lifestyle interventions (C) in reducing HbA1c levels (O)?”
- Develop a protocol: Create a detailed protocol outlining the methodology for the systematic review and meta-analysis. This should include the search strategy, inclusion and exclusion criteria, and methods for data extraction and analysis. The protocol serves as a roadmap for the meta-analysis and helps reduce bias by pre-specifying the methods before beginning the review.
Key components of a meta-analysis methodology protocol:
- Background and rationale
- Objectives
- Eligibility criteria for studies
- Information sources and search strategy
- Study selection process
- Data extraction methods
- Risk of bias assessment
- Data synthesis and statistical methods
- Planned subgroup and sensitivity analyses
- Conduct a systematic literature review: Perform a comprehensive search of relevant databases, such as PubMed, Cochrane Library, and EMBASE, to identify all potentially eligible studies. This step is crucial for reducing publication bias and ensuring a thorough representation of available evidence. A systematic literature review involves:
- Developing a comprehensive search strategy using appropriate keywords, MeSH terms, and database-specific syntax
- Searching multiple electronic databases
- Hand-searching relevant journals and conference proceedings
- Checking reference lists of included studies and relevant reviews
- Contacting experts in the field for unpublished or ongoing studies
- Screen and select studies: Apply the predefined inclusion and exclusion criteria to screen titles, abstracts, and full-text articles. This process should be performed independently by at least two reviewers to minimize bias. The study selection process typically involves:
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- Initial screening of titles and abstracts
- Full-text review of potentially eligible studies
- Resolution of disagreements between reviewers through discussion or involvement of a third reviewer
- Documentation of reasons for exclusion of studies
- Creation of a PRISMA flow diagram to illustrate the selection process
- Extract data: Systematically extract relevant data from the included studies, including study characteristics, participant information, interventions, outcomes, and effect sizes. Use a standardized data extraction form to ensure consistency across studies. Key information to extract may include:
- Study design and methodology
- Sample size and participant demographics
- Intervention and comparison details
- Outcome measures and time points
- Effect sizes and measures of variability
- Funding sources and potential conflicts of interest
- Assess study quality and risk of bias: Evaluate the methodological quality of included studies using appropriate tools, such as the Cochrane Risk of Bias tool for randomized controlled trials or the Newcastle-Ottawa Scale for observational studies. Assessing the quality of included studies is crucial for interpreting the reliability and validity of the meta-analysis results. Consider factors such as:
- Randomization and allocation concealment methods
- Blinding of participants, personnel, and outcome assessors
- Completeness of outcome data
- Selective reporting
- Other potential sources of bias
- Perform statistical analysis: Combine the data using appropriate meta-analysis methodology techniques, such as fixed-effect or random-effects models. Calculate summary effect sizes, confidence intervals, and measures of heterogeneity (e.g., I² statistic). The statistical analysis phase involves:
- Choosing an appropriate effect size measure (e.g., odds ratio, risk ratio, mean difference)
- Selecting a meta-analysis model based on the assumed distribution of true effects
- Calculating pooled effect sizes and their confidence intervals
- Assessing heterogeneity using statistical tests (e.g., Q-test) and measures (e.g., I² statistic)
- Conducting subgroup analyses and meta-regression to explore sources of heterogeneity
- Performing sensitivity analyses to test the robustness of findings
- Interpret and report results: Synthesize the findings, interpret the results in the context of the research question, and prepare a comprehensive report following the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) guidelines. The final step involves:
- Summarizing the main findings and their implications
- Discussing the strengths and limitations of the meta-analysis
- Addressing potential sources of bias and their impact on the results
- Comparing the findings to previous research and existing literature
- Providing recommendations for practice and future research
- Creating forest plots and other visual representations of the results
- Preparing a structured abstract summarizing the key aspects of the meta-analysis
These eight steps provide a structured approach to conducting a meta-analysis methodology, ensuring that the process is systematic, transparent, and reproducible.
Steps in Quantitative Literature Review
A quantitative literature review, which often forms the basis for a meta-analysis methodology, involves several key steps that contribute to the overall meta-analysis methodology. Here’s a detailed breakdown of the process:
- Define the research question: Clearly articulate the research question and establish the scope of the review, focusing on quantitative aspects of the literature. This step involves:
- Specifying the PICO elements (Population, Intervention, Comparison, Outcome)
- Determining the types of studies to be included (e.g., randomized controlled trials, cohort studies)
- Defining the time frame for the literature search
- Develop search strategies: Create a comprehensive search strategy using relevant keywords, MeSH terms, and database-specific syntax to identify all potentially relevant studies. This involves:
- Consulting with information specialists or librarians
- Identifying appropriate databases and other sources
- Developing a list of search terms and their combinations
- Creating database-specific search strings
- Pilot testing and refining the search strategy
- Conduct database searches: Systematically search multiple databases, including both published and unpublished sources, to minimize publication bias. This step includes:
- Searching electronic databases (e.g., PubMed, EMBASE, Cochrane Library)
- Checking trial registries for ongoing or unpublished studies
- Hand-searching relevant journals and conference proceedings
- Contacting experts in the field for additional studies
- Documenting the search process for transparency and reproducibility
- Screen and select studies: Apply predefined inclusion and exclusion criteria to identify eligible studies based on titles, abstracts, and full-text reviews. This process involves:
- Developing a screening form based on the eligibility criteria
- Training reviewers to ensure consistent application of criteria
- Conducting pilot screening to refine the process
- Performing independent screening by at least two reviewers
- Resolving disagreements through discussion or third-party arbitration
- Documenting reasons for exclusion at each stage
- Critically appraise selected studies: Assess the methodological quality and risk of bias in the included studies using standardized tools appropriate for the study designs. This step includes:
- Selecting appropriate quality assessment tools (e.g., Cochrane Risk of Bias tool, Newcastle-Ottawa Scale)
- Training reviewers in the use of quality assessment tools
- Conducting independent quality assessments by multiple reviewers
- Resolving discrepancies in quality ratings
- Considering how study quality will be incorporated into the analysis and interpretation of results
- Extract quantitative data: Systematically extract relevant numerical data, effect sizes, and statistical information from the included studies using a standardized form. This involves:
- Developing a comprehensive data extraction form
- Pilot testing the form to ensure all relevant information is captured
- Extracting study characteristics, participant information, interventions, and outcomes
- Calculating or extracting effect sizes and measures of variability
- Documenting any assumptions made or calculations performed during data extraction
- Synthesize the data: Combine the extracted data using appropriate statistical methods, such as meta-analysis, to generate summary effect sizes and confidence intervals. This step includes:
- Choosing an appropriate effect size measure
- Selecting a meta-analysis model (fixed-effect or random-effects)
- Calculating pooled effect sizes and their precision
- Assessing heterogeneity between studies
- Creating forest plots to visually represent the results
- Analyze heterogeneity: Assess and explore sources of heterogeneity between studies using statistical measures (e.g., I² statistic) and subgroup analyses. This involves:
- Calculating measures of heterogeneity (e.g., Q-statistic, I² statistic)
- Conducting subgroup analyses based on predefined characteristics
- Performing meta-regression to explore continuous variables as potential moderators
- Interpreting the results of heterogeneity analyses in the context of the research question
- Conduct sensitivity analyses: Perform sensitivity analyses to evaluate the robustness of the findings and assess the impact of methodological decisions on the results. This step includes:
- Repeating the analysis with different inclusion criteria
- Comparing results using different statistical models
- Assessing the impact of studies with high risk of bias
- Exploring the influence of individual studies on the overall results
- Interpret and report findings: Synthesize the quantitative results, interpret them in the context of the research question, and prepare a comprehensive report following established reporting guidelines. This final step involves:
- Summarizing the main findings and their clinical or practical significance
- Discussing the strengths and limitations of the review
- Addressing potential sources of bias and their impact on the results
- Comparing the findings to previous research and existing literature
- Providing recommendations for practice and future research
- Preparing a structured report following PRISMA guidelines
These steps ensure a rigorous and systematic approach to quantitative literature review, providing a solid foundation for subsequent meta-analysis. By following this comprehensive process, researchers can minimize bias, increase transparency, and produce high-quality evidence syntheses that inform decision-making in various fields, including medical research and health policy.
Sensitivity analyses
Sensitivity analyses in meta-analysis methodology are an essential component of meta-analysis methodology, designed to assess the robustness and reliability of the meta-analysis results. These analyses help researchers understand how various methodological decisions or study characteristics might influence the overall findings. By conducting sensitivity analyses, researchers can identify potential sources of bias and evaluate the stability of their conclusions.
The importance of sensitivity analyses in meta-analysis methodology cannot be overstated. They serve several crucial purposes:
- Assessing the robustness of findings
- Exploring the impact of methodological decisions
- Identifying influential studies or outliers
- Evaluating the effect of study quality on results
- Examining the potential impact of publication bias
There are several types of sensitivity analyses that can be performed in a meta-analysis methodology:
- Inclusion/exclusion criteria: Researchers may vary the inclusion or exclusion criteria to see how this affects the results. For example, they might exclude studies with a high risk of bias or include only studies with a specific design (e.g., randomized controlled trials). This type of sensitivity analysis helps determine whether the findings are dependent on particular study characteristics or quality thresholds.
Example: In a meta-analysis of the effectiveness of a new drug, researchers might perform separate analyses including only double-blind RCTs versus all available studies, including open-label trials.
- Statistical model selection: Comparing results from fixed-effect and random-effects models can help assess the impact of model choice on the overall effect estimate. This is particularly important when there is significant heterogeneity between studies.
Example: Researchers might compare the pooled effect size and confidence intervals obtained from both fixed-effect and random-effects models to see if the choice of model substantially alters the conclusions.
- Subgroup analyses: Examining the effect size within different subgroups of studies based on characteristics such as population, intervention type, or study quality can reveal potential moderators of the effect. This helps identify sources of heterogeneity and can provide insights into the generalizability of findings.
Example: In a meta-analysis of a weight loss intervention, researchers might conduct separate analyses for studies with predominantly male versus female participants to explore potential gender differences in treatment efficacy.
- Meta-regression: This technique allows researchers to explore the relationship between study-level characteristics and effect sizes, helping to explain heterogeneity between studies. Meta-regression can be used to investigate both categorical and continuous moderators.
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Example: Researchers might use meta-regression to examine whether the effect size of an educational intervention is related to the duration of the program or the age of participants.
- Publication bias assessment: Using funnel plots, trim-and-fill methods, or Egger’s test can help evaluate the potential impact of publication bias on the meta-analysis results. These techniques help identify whether smaller studies with negative or null findings might be missing from the literature.
Example: Researchers might create a funnel plot to visually assess asymmetry, which could indicate publication bias. They could then use the trim-and-fill method to estimate the number of potentially missing studies and adjust the effect size accordingly.
- Influence analysis: This involves systematically removing one study at a time from the meta-analysis to assess its impact on the overall effect size and heterogeneity. This helps identify influential studies that may be driving the results.
Example: In a meta-analysis of 20 studies, researchers might conduct 20 separate analyses, each time removing a different study, to see if any single study substantially alters the pooled effect size or conclusions.
- Alternative effect size measures: Using different effect size measures (e.g., odds ratio vs. risk ratio) can help determine if the choice of effect size measure influences the conclusions.
Example: In a meta-analysis of a medical intervention, researchers might calculate both odds ratios and risk ratios to ensure that the choice of effect measure doesn’t significantly alter the interpretation of results.
- Handling of missing data: Assessing the impact of different approaches to dealing with missing data, such as imputation methods or exclusion of studies with incomplete data, can help ensure the robustness of findings.
Example: Researchers might compare results using complete case analysis versus multiple imputation for missing outcome data to see if the method of handling missing data affects the conclusions.
By conducting these sensitivity analyses, researchers can strengthen the credibility of their meta-analysis methodology and provide a more nuanced interpretation of the results. This approach helps address some of the main criticisms of meta-analysis, such as the potential for bias and the challenges of combining heterogeneous studies.
When reporting sensitivity analyses, it’s important to:
- Clearly describe the methods used for each sensitivity analysis
- Present the results of sensitivity analyses alongside the main findings
- Discuss how the sensitivity analyses impact the interpretation of results
- Address any discrepancies between the main analysis and sensitivity analyses
Combining the data (meta-analysis)
Combining the data is a crucial step in conducting a meta-analysis methodology, as it allows researchers to synthesize findings from multiple studies and generate a more precise estimate of the overall effect. The process of combining data in a meta-analysis involves several key considerations and statistical techniques:
- Effect size calculation: Before combining data, researchers must ensure that all studies report effect sizes using a common metric. This may involve transforming reported statistics into standardized effect sizes, such as Cohen’s d, Hedges’ g, or correlation coefficients.
Example: If some studies report mean differences and others report standardized mean differences, researchers would need to convert all effect sizes to a common metric before pooling.
- Weighting of studies: In meta-analysis, studies are typically weighted based on their precision, with larger studies (those with smaller standard errors) given more weight in the meta-analysis methodology. This approach helps to account for the varying sample sizes and quality of individual studies.
Example: Using inverse variance weighting, a study with a sample size of 1000 would receive more weight in the analysis than a study with a sample size of 100.
- Choice of statistical model: Researchers must decide between fixed-effect and random-effects models based on the assumed underlying distribution of true effect sizes in the meta-analysis methodology. The choice of model can significantly impact the results and interpretation of the meta-analysis.
Example: If studies are thought to be estimating the same underlying effect, a fixed-effect model might be appropriate. However, if there’s reason to believe true effects vary across studies, a random-effects model would be more suitable.
- Heterogeneity assessment: Before combining data, it’s essential to assess the degree of heterogeneity between studies using measures such as the Q statistic, I² statistic, or tau-squared. High heterogeneity may indicate the need for subgroup analyses or meta-regression.
Example: An I² value of 75% would suggest substantial heterogeneity, indicating that 75% of the variability in effect estimates is due to true differences between studies rather than chance.
- Pooling effect sizes: The actual combination of data involves calculating a weighted average of the individual study effect sizes in the meta-analysis methodology. This is typically done using inverse variance weighting, which gives more weight to studies with smaller standard errors.
Example: Using a random-effects model, the pooled effect size would be calculated as a weighted average of individual study effects, with weights based on both within-study and between-study variance.
- Confidence interval calculation: Researchers calculate confidence intervals around the pooled effect size to provide a measure of precision and statistical significance.
Example: A 95% confidence interval for a pooled odds ratio of 1.5 might be (1.2, 1.8), indicating that we can be 95% confident that the true population effect lies between these values.
- Forest plot creation: A forest plot is a graphical representation of the meta-analysis results, displaying individual study effect sizes and the pooled effect size with their respective confidence intervals in the meta-analysis methodology.
Example: A forest plot would show each study as a horizontal line (representing its confidence interval) and a square (representing its point estimate), with the size of the square proportional to the study’s weight. The pooled effect would be represented by a diamond at the bottom.
- Subgroup and moderator analyses: If significant heterogeneity is present, researchers may conduct subgroup analyses or meta-regression to explore potential moderators of the effect size.
Example: In a meta-analysis of a psychological intervention, researchers might conduct separate analyses for studies with adult versus adolescent participants to explore age as a potential moderator.
- Publication bias assessment: Techniques such as funnel plots, Egger’s test, or the trim-and-fill method can be used to assess and potentially adjust for publication bias in the meta-analysis methodology.
Example: If a funnel plot shows asymmetry, with smaller studies tending to show larger effects, this might indicate publication bias. The trim-and-fill method could then be used to estimate the number of “missing” studies and adjust the effect size accordingly.
- Sensitivity analyses: Conducting various sensitivity analyses in meta-analysis methodology helps ensure the robustness of the findings and explores the impact of methodological decisions on the results in the meta-analysis methodology.
Example: Researchers might repeat the analysis excluding studies rated as high risk of bias to see if this substantially alters the conclusions.
By carefully combining the data using these methods, researchers can harness the power of meta-analysis to provide a comprehensive synthesis of available evidence. This approach allows for more precise effect size estimates, increased statistical power, and the ability to explore sources of heterogeneity across studies.
When reporting the results of combining data in a meta-analysis, it’s important to:
- Clearly describe the statistical methods used, including the choice of effect size measure and meta-analysis model
- Present both individual study effects and the pooled effect, typically in a forest plot
- Report measures of heterogeneity and their interpretation
- Discuss the results of any subgroup or moderator analyses
- Address the potential impact of publication bias on the findings
- Interpret the results in the context of the original research question and existing literature
In conclusion, meta-analysis methodology provides a powerful tool for synthesizing research findings across multiple studies. By following a rigorous systematic review process, employing appropriate statistical techniques, and conducting thorough sensitivity analyses, researchers can generate valuable insights that inform clinical practice and guide future research efforts.
As the field of evidence-based medicine continues to evolve, meta-analysis methodology remains an essential approach for advancing our understanding of complex research questions and improving patient outcomes.
The combination of systematic literature review, careful data extraction, appropriate statistical analysis, and thorough sensitivity testing makes meta-analysis methodology a robust and influential methodology in the realm of research synthesis. By leveraging the collective power of multiple studies, meta-analyses can provide more definitive answers to research questions, identify knowledge gaps, and drive future research directions across various disciplines, particularly in medical research and health research.
Frequently asked questions about meta-analysis methodology
What are the two types of meta-analysis?
Meta-analysis methodology primarily encompasses two main types:
- Fixed-effect meta-analysis: This meta-analysis methodology assumes a single true effect size underlying all studies. It’s suitable when studies are homogeneous and aims to estimate one common effect. This approach in meta-analysis methodology gives more weight to larger studies.
- Random-effects meta-analysis: This meta-analysis methodology assumes true effect sizes vary between studies. It accounts for both within-study and between-study variability, making it appropriate for heterogeneous studies. This approach in meta-analysis methodology provides more conservative estimates and allows for generalization beyond included studies.
The choice between these two meta-analysis methodology approaches depends on the nature of the studies and research question.
How do you analyse meta-analyses?
Analyzing meta-analyses involves critically evaluating the meta-analysis methodology employed. Key steps include:
Consider the overall quality and potential limitations of the meta-analysis methodology used.
Assess the research question and inclusion criteria to ensure they align with sound meta-analysis methodology.
Evaluate the comprehensiveness of the literature search within the meta-analysis methodology.
Examine the quality assessment of included studies, a crucial aspect of meta-analysis methodology.
Review the statistical methods used, ensuring they follow established meta-analysis methodology.
Assess heterogeneity and publication bias analyses, integral to robust meta-analysis methodology.
Evaluate the interpretation of results and any sensitivity analyses conducted as part of the meta-analysis methodology.
What is an example of a meta-analysis method?
An example of meta-analysis methodology is the random-effects model. This approach, central to meta-analysis methodology, assumes that true effect sizes vary across studies due to differences in populations or interventions. In this meta-analysis methodology:
- Effect sizes from individual studies are extracted.
- Each study is weighted based on both within-study and between-study variance.
- A pooled effect size is calculated using these weights.
- Confidence intervals and prediction intervals are computed.
This meta-analysis methodology accounts for heterogeneity between studies, providing a more conservative estimate than fixed-effect models. It’s widely used in medical research and other fields employing meta-analysis methodology.
What are the four basic steps of a meta-analysis?
The four basic steps of meta-analysis methodology are:
Interpretation and reporting: Analyze results, assess heterogeneity, and conduct sensitivity analyses as part of rigorous meta-analysis methodology. Report findings following established guidelines, such as PRISMA, to ensure transparency in the meta-analysis methodology used.
Literature search: Conduct a comprehensive systematic review to identify relevant studies using predefined criteria.
Data extraction: Extract pertinent information from selected studies, including effect sizes and sample sizes, following meta-analysis methodology guidelines.
Statistical analysis: Apply meta-analysis methodology to combine data, typically using fixed-effect or random-effects models, and calculate a pooled effect size.