Statistical Methods for Meta‐Analysis

By Xiao-Hua Zhou, Nancy A. Obuchowski, D. McClish. 2008

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Citations in the corpus

External Validity: From Do-Calculus to Transportability Across Populations (2014, methodology): “Clearly, the same data-sharing philosophy can be used to guide Meta-Analysis (Glass (1976); Hedges and Olkin (1985); Rosenthal (1995); Owen (2009)), where one attempts to combine results from many experimental and observational studies, each conducted on a diﬀerent population and under a diﬀer-ent s”
A Systematic Review and Meta-Analysis of the Cognitive Correlates of Bilingualism (2010, methodology): “Standard meta-analytic guidelines and equations were followed in all data analyses (Cooper & Hedges, 1994; Hedges & Olkin, 1985; Lipsey & Wilson, 2001).”
A Comprehensive Meta-Analysis of Triple P-Positive Parenting Program Using Hierarchical Linear Modeling: Effectiveness and Moderating Variables (2008, methodology): “, Hedges and Olkin 1985) which treat estimators as independent replications and ignore sources of among-studies variation by assuming one underlying population effect size (i.e., a fixed-effect; DuMouchel 1994). Moreover, the most common non-Bayesian technique of testing the null hypothesis of no va”
TIES, LEADERS, AND TIME IN TEAMS: STRONG INFERENCE ABOUT NETWORK STRUCTURE'S EFFECTS ON TEAM VIABILITY AND PERFORMANCE (2006, methodology): “We tested for the presence of moderators for each meta-analytic estimate by calculating the Q-statistic for heterogeneity in effect sizes (Hedges & Olkin, 1985).”
Psychological correlates of university students' academic performance: a systematic review and meta-analysis. (2012, methodology): “Following Hedges and Olkin (1985), we conducted analyses on correlations transformed into Fishers z; we then back-transformed results, such as means and the limits of confidence intervals, so that they could be expressed in terms of r.”
How Effective Are Family Literacy Programs? (2011, methodology): “We computed the homogeneity statistic Q (Hedges & Olkin, 1985; Lipsey & Wilson, 2001) to examine whether the effect sizes included in the analysis all estimated the same population effect.”
Scientific research ontology to support systematic review in software engineering (2007, background): “The ﬁeld of research synthesis spreads from the social sciences to medicine in the 1980s, while books devoted to this methodology are published [44–47], which are followed by others in the same decade.”
The Power of Feedback Revisited: A Meta-Analysis of Educational Feedback Research (2020, unknown): “This is calculated as with the pooled standard deviation of Hedges and Olkin (1985) demonstrated that the unsystematic error variance of a primary study is determined by the variance of the eﬀect size.”
The effectiveness of virtual reality distraction for pain reduction: a systematic review. (2010, methodology): “These standardized effect sizes were then corrected for small sample bias (Hedges & Olkin, 1985) because of the small samples evident in this literature.”
The role of the amygdala in emotional processing: a quantitative meta-analysis of functional neuroimaging studies. (2008, methodology): “For a more detailed discussion of the methods, the reader is referred to Hedges and Olkins (1985).”
The global cognitive impairment in schizophrenia: Consistent over decades and around the world (2013, methodology): “Effect sizes for each cognitive variable were calculated as the mean difference between schizophrenia and healthy control performance divided by the pooled standard deviation and adjusted for small sample size bias (Hedges and Olkin, 1985).”
The Effects of Summer Reading on Low-Income Children’s Literacy Achievement From Kindergarten to Grade 8 (2013, unknown): “The observed Q statistic follows a χ 2 sampling distribution and is essentially a weighted sum of squares statistic given by the following formula: where w j is a measure of precision based on the inverse of the within-and between-study variance estimate (Hedges & Olkin, 1985).”
Outcomes of exposure to workplace bullying: A meta-analytic review (2012, methodology): “The procedure proposed by Hedges and Olkin (1985) was used to investigate potential moderator effects.”
The Serotonin Transporter Promoter Variant (5-HTTLPR), Stress, and Depression Meta-Analysis Revisited: Evidence of Genetic Moderation (2011, methodology): “An approach useful in situations where equivalent raw data are not available across all studies is to combine the studies at the level of significance tests.(52) The Liptak-Stouffer z score method is a wellvalidated method for combining P values across studies and has been used widely across genomic”
Methods to estimate the between‐study variance and its uncertainty in meta‐analysis† (2015, methodology): “The HO (Hedges and Olkin, 1985) estimator (also known as Cochran estimator or variance component type estimator) was first introduced in a RE analysis of variance context by Cochran (1954).”
The Effects of Bullying and Peer Victimization on Sexual-Minority and Heterosexual Youths: A Quantitative Meta-Analysis of the Literature (2011, methodology): “Follow-up post hoc analyses using the Bonferroni adjustments (Hedges & Olkin, 1985) indicated that a lack of school belonging showed the largest correlation with bullying/victimization experienced by GLB youths (z = 3.23, 2.87, 4.01, and 2.78 comparing lack of school belongings to suicide attempt,…”