# Forest plot

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Forest plot

A forest plot is a graphical display that shows the strength of the evidence in quantitative scientific studies. It was developed for use in medical research as a means of graphically representing a meta-analysis of the results of randomized controlled trials. In the last twenty years, similar meta-analytical techniques have been applied in observational studies (e.g. environmental epidemiology) and forest plots are often used in presenting the results of such studies also.

Although forest plots can take several forms, they are commonly presented with two columns. The left-hand column lists the names of the studies (frequently randomized controlled trials or epidemiological studies), commonly in chronological order from the top downwards. The right-hand column is a plot of the measure of effect ("e.g." an odds ratio) for each of these studies (often represented by a square) incorporating confidence intervals represented by horizontal lines. The graph may be plotted on a natural logarithmic scale when using odds ratios, so that the confidence intervals are symmetrical about the means from each study. The size of each square is proportional to the study's weight in the meta-analysis. The overall meta-analysed measure of effect is represented on the plot as a vertical line. This meta-analysed measure of effect is commonly plotted as a diamond, the lateral points of which indicate confidence intervals for this estimate.

A vertical line representing no effect is also plotted. If the confidence intervals for individual studies overlap with this line, it demonstrates that at the given level of confidence their effect sizes do not differ from no effect. The same applies for the meta-analysed measure of effect: if the points of the diamond overlap the line of no effect the overall meta-analysed result cannot be said to differ from no effect at the given level of confidence.

Forest plots date back to at least the 1970s. One plot is shown in a 1985 book about meta-analysis.Cite book
author = Larry V. Hedges & Ingram Olkin
title = Statistical Methods for Meta-Analysis
year = 1985
location = Orlando
isbn = 0-12-336380-2
] rp|252The first use in print of the word "forest plot" may be 1996.Cite journal
author = Steff Lewis & Mike Clarke
journal = BMJ
year = 2001
volume = 322
pages = 1479&ndash;1480
month = June
title = Forest plots: trying to see the wood and the trees
doi = 10.1136/bmj.322.7300.1479
url = http://www.bmj.com/cgi/content/full/322/7300/1479
pmid = 11408310
] The name refers to the forest of lines produced. In September 1990, Richard Peto joked that the plot was named after a breast cancer researcher called Pat Forrest and the name has sometimes been spelt "forrest plot".

* Galbraith plot
* Funnel plot

Sources

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