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| Честотен анализ× | Точен биномен тест× | Описателна статистика× | |
|---|---|---|---|
| Област | Статистика | Статистика | Статистика |
| Семейство≠ | Hypothesis test | Regression model | Hypothesis test |
| Година на възникване≠ | 19th century | 1988 | 1977 |
| Създател≠ | Classical statistics (no single inventor) | Classical exact test; textbook treatment by Siegel & Castellan | John W. Tukey |
| Тип≠ | Descriptive summary | Exact one-sample test for a proportion | Summary procedure |
| Основополагащ източник≠ | 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 | Tukey, J.W. (1977). Exploratory Data Analysis. Addison-Wesley. ISBN: 978-0201076165 |
| Други названия≠ | frequency distribution, frequency table, tally analysis, count analysis | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi | summary statistics, exploratory data summary, Betimsel İstatistik |
| Свързани≠ | 3 | 2 | 6 |
| Резюме≠ | 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). | 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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