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Everything about Statistical hypothesis test
Method of statistical inference
A statistical hypothesis test is a method of statistical inference used to decide whether the data provides sufficient evidence to reject a particular hypothesis. A statistical hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to a critical value or equivalently by evaluating a p-value computed from the test statistic. Roughly 100 specialized statistical tests are in use. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Statistical hypothesis testA 5-minute orientation
- Skim a recent paper: Statistical Hypothesis Testing Based on Machine Learning: Large Deviations AnalysisInfluential work since 2022
- Pick up a classic book: Statistical power analysisThe most-reprinted book on the subject
- Read the landmark paper: Statistical method for testing the neutral mutation hypothesis by DNA polymorphism.Cited 10,287 times
- Go sideways: Foundations of statisticsA closely related topic
- Go sideways: Frequentist inferenceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Statistical method for testing the neutral mutation hypothesis by DNA polymorphism.
An Establishment-Level Test of the Statistical Discrimination Hypothesis
In praise of the null hypothesis statistical test.
Statistical significance and statistical power in hypothesis testing
Test of the independence hypothesis and isospin conservation in compound-statistical reactions
A statistical test for periodicity hypothesis in the crater formation rate
Turbulent cascades: Limitations and a statistical test of the lognormal hypothesis
Basic concepts of statistical reasoning: Hypothesis tests and the t‐test
🆕 Influential since 2022
Statistical Hypothesis Testing Based on Machine Learning: Large Deviations Analysis
Interpreting Results from Statistical Hypothesis Testing: Understanding the Appropriate P-value
Statistical Hypothesis Testing: A Comprehensive Review of Theory, Methods, and Applications
Evaluating divorce dynamics through ODE modeling and statistical hypothesis testing
Statistical hypothesis testing: general approach in medical research
📚 Books worth reading
Statistical power analysisKevin R. Murphy, Brett Myors · 1998
Linear ModelsShayle R. Searle · 1997- 📕What If There Were No Significance Tests?Lisa L. Harlow, Stanley A. Mulaik · 2013
Introduction to robust estimation and hypothesis testingRand R. Wilcox · 1997
Testing statistical hypothesesE. L. Lehmann · 1959- 📕Distribution-free statistical testsJames V. Bradley, Bradley, James V. · 1960
- 📕Logic of Intelligence AnalysisKarl Spielmann · 2018
Statistical Hypothesis Testing with SAS and RSonja Kuhnt · 2014
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Foundations of statistics The Foundations of Statistics are the mathematical and philosophical bases for statistical methods. These bases are the theoretical frameworks that ground…
- Frequentist inference Frequentist inference is a type of statistical inference based in frequentist probability, which treats "probability" in equivalent terms to "frequency"…
- Likelihood-ratio test In statistics, the likelihood-ratio test is a hypothesis test that involves comparing the goodness of fit of two competing statistical models, typically…
- Misuse of p-values P-values are often used or interpreted incorrectly; the American Statistical Association states that p-values can indicate how incompatible the data are…
- P-value In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed,…
- Statistical significance In statistical hypothesis testing, a result has statistical significance when a result at least as extreme would be very infrequent if the null hypothesis…
- Statistics Statistics (from German: Statistik, orig. "description of a state, a country") is the discipline that concerns the collection, organization, analysis,…
- Test statistic Some of the most common test statistics and their corresponding statistical tests or models. A test statistic is a quantity derived from the sample for…