Meta-analysis | Regression analysis

Meta-regression

Meta-regression is defined to be a meta-analysis that uses regression analysis to combine, compare, and synthesize research findings from multiple studies while adjusting for the effects of available covariates on a response variable. A meta-regression analysis aims to reconcile conflicting studies or corroborate consistent ones; a meta-regression analysis is therefore characterized by the collated studies and their corresponding data sets—whether the response variable is study-level (or equivalently aggregate) data or individual participant data (or individual patient data in medicine). A data set is aggregate when it consists of summary statistics such as the sample mean, effect size, or odds ratio. On the other hand, individual participant data are in a sense raw in that all observations are reported with no abridgment and therefore no information loss. Aggregate data are easily compiled through internet search engines and therefore not expensive. However, individual participant data are usually confidential and are only accessible within the group or organization that performed the studies. Although meta-analysis for observational data is also under extensive research, the literature still largely centers around combining randomized controlled trials (RCTs). In RCTs, a study typically includes a trial that consists of arms. An arm refers to a group of participants who received the same therapy, intervention, or treatment. A meta-analysis with some or all studies having more than two arms is called network meta-analysis, indirect meta-analysis, or a multiple treatment comparison. Despite also being an umbrella term, meta-analysis sometimes implies that all included studies have strictly two arms each—same two treatments in all trials—to distinguish itself from network meta-analysis. A meta-regression can be classified in the same way—meta-regression and network meta-regression—depending on the number of distinct treatments in the regression analysis. Meta-analysis (and meta-regression) is often placed at the top of the evidence hierarchy provided that the analysis consists of individual participant data of randomized controlled clinical trials. Meta-regression plays a critical role in accounting for covariate effects, especially in the presence of categorical variables that can be used for subgroup analysis. (Wikipedia).

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Linear regression

Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.

From playlist Learning medical statistics with python and Jupyter notebooks

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An Introduction to Linear Regression Analysis

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From playlist Linear Regression.

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Linear Regression Using R

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From playlist Linear Regression.

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Statistics: Ch 3 Bivariate Data (15 of 25) What is Linear Regression? Part 1

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An introduction to Regression Analysis

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From playlist Linear Regression.

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Stanford CS330: Multi-Task and Meta-Learning, 2019 | Lecture 4 - Non-Parametric Meta-Learners

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Stanford CS330: Deep Multi-task & Meta Learning | 2020 | Lecture 6: Non-Parametric Few-Shot Learning

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Linear regression ANOVA ANCOVA Logistic Regression

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Fisher transformation | Statistical hypothesis testing | Multivariate normal distribution | Systematic review | Meta-analysis | Odds ratio | Regression analysis | De Moivre–Laplace theorem | Randomized controlled trial | Effect size | Logit | Arithmetic mean | Covariance