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| Häufigkeitsanalyse× | Exakter Binomialtest× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie≠ | Hypothesis test | Regression model |
| Entstehungsjahr≠ | 19th century | 1988 |
| Urheber≠ | Classical statistics (no single inventor) | Classical exact test; textbook treatment by Siegel & Castellan |
| Typ≠ | Descriptive summary | Exact one-sample test for a proportion |
| Wegweisende Quelle≠ | Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed.). SAGE. ISBN: 978-1446249185 | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 |
| Aliasnamen | frequency distribution, frequency table, tally analysis, count analysis | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi |
| Verwandt≠ | 3 | 2 |
| Zusammenfassung≠ | Frequency analysis is a fundamental descriptive technique that tallies how often each distinct value or category appears in a dataset. It produces absolute counts, relative percentages, and cumulative frequencies, giving an immediate picture of how observations are distributed across categories. It is the natural first step when exploring categorical or discrete variables before applying inferential tests. | 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). |
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