# Edit request Add topic "Statistical significance" Accepted

## Changes: 8

• ###### AddThe Difference Between “Significant” and “Not Significant” is not Itself Statistically Significant
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The Difference Between “Significant” and “Not Significant” is not Itself Statistically Significant
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Paper
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2006-11
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It is common to summarize statistical comparisons by declarations of statistical significance or nonsignificance. Here we discuss one problem with such declarations, namely that changes in statistical significance are often not themselves statistically significant. By this, we are not merely making the commonplace observation that any particular threshold is arbitrary—for example, only a small change is required to move an estimate from a 5.1% significance level to 4.9%, thus moving it into statistical significance. Rather, we are pointing out that even large changes in significance levels can correspond to small, nonsignificant changes in the underlying quantities.
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http://www.stat.columbia.edu/~gelman/research/published/signif4.pdf
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DOI: 10.1198/000313006X152649
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Statistical significance
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In statistical hypothesis testing, a result has statistical significance when it is very unlikely to have occurred given the null hypothesis. The significance level for a study is chosen before data collection, and is typically set to 5% or much lower—depending on the field of study.
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https://en.wikipedia.org/?curid=160995
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Statistical hypothesis testing
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A statistical hypothesis is a hypothesis that is testable on the basis of observed data modelled as the realised values taken by a collection of random variables. A set of data is modelled as being realised values of a collection of random variables having a joint probability distribution in some set of possible joint distributions. The hypothesis being tested is exactly that set of possible probability distributions. A statistical hypothesis test is a method of statistical inference. An alternative hypothesis is proposed for the probability distribution of the data, either explicitly or only informally. The comparison of the two models is deemed statistically significant if, according to a threshold probability—the significance level—the data would be unlikely to occur if the null hypothesis were true.
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https://en.wikipedia.org/?curid=30284
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Statistics
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Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of surveys and experiments.When census data cannot be collected, statisticians collect data by developing specific experiment designs and survey samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample to the population as a whole.
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https://en.wikipedia.org/?curid=26685
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• ###### AddStatistical significance discussed inThe Difference Between “Significant” and “Not Significant” is not Itself Statistically Significant
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• ###### AddStatistical significance used byStatistical hypothesis testing
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• ###### AddStatistical hypothesis testing subtopic ofStatistics
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