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正確二項検定×クロス集計分析×記述統計×
分野統計学統計学統計学
系統Regression modelHypothesis testHypothesis test
提唱年198819001977
提唱者Classical exact test; textbook treatment by Siegel & CastellanKarl PearsonJohn W. Tukey
種類Exact one-sample test for a proportionDescriptive and inferential categorical analysisSummary procedure
原典Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 50(302), 157–175. DOI ↗Tukey, J.W. (1977). Exploratory Data Analysis. Addison-Wesley. ISBN: 978-0201076165
別名exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testicrosstab, contingency table analysis, two-way frequency table, bivariate frequency analysissummary statistics, exploratory data summary, Betimsel İstatistik
関連256
概要The exact binomial test checks whether the observed number of successes in a fixed number of independent trials is consistent with a pre-specified success probability p₀. Because it computes exact binomial tail probabilities rather than relying on a normal approximation, it is the gold standard for testing a proportion in small samples; this two-sided formulation follows Siegel & Castellan's classic treatment (1988).Cross-tabulation analysis (contingency table analysis) is a foundational descriptive and inferential technique for examining the relationship between two or more categorical variables. It arranges observed frequencies into a table of rows and columns, enabling visual inspection of patterns and formal chi-square testing of independence between the variables.Descriptive statistics is a set of procedures that numerically and visually summarises the essential characteristics of a dataset: central tendency (mean, median, mode), spread (standard deviation, interquartile range), shape (skewness, kurtosis), and frequency distributions. Systematised for applied data analysis by John W. Tukey in his 1977 work on Exploratory Data Analysis, descriptive statistics serves as the indispensable first step before any inferential or modelling procedure.
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ScholarGate手法を比較: Binomial Test · Cross-tabulation analysis · Descriptive Statistics. 2026-06-17に以下より取得 https://scholargate.app/ja/compare