विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| आवृत्ति विश्लेषण (Frequency Analysis)× | सटीक द्विपद परीक्षण (Exact Binomial Test)× | वर्णनात्मक सांख्यिकी× | |
|---|---|---|---|
| क्षेत्र | सांख्यिकी | सांख्यिकी | सांख्यिकी |
| परिवार≠ | Hypothesis test | Regression model | Hypothesis test |
| उद्भव वर्ष≠ | 19th century | 1988 | 1977 |
| प्रवर्तक≠ | Classical statistics (no single inventor) | Classical exact test; textbook treatment by Siegel & Castellan | John W. Tukey |
| प्रकार≠ | Descriptive summary | Exact one-sample test for a proportion | Summary procedure |
| मौलिक स्रोत≠ | 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 |
| उपनाम≠ | 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 |
| संबंधित≠ | 3 | 2 | 6 |
| सारांश≠ | 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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