השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| מבחן בינומי מדויק× | מבחן z להשוואת שתי פרופורציות× | מבחן הסימן× | |
|---|---|---|---|
| תחום | סטטיסטיקה | סטטיסטיקה | סטטיסטיקה |
| משפחה≠ | Regression model | Hypothesis test | Hypothesis test |
| שנת המקור≠ | 1988 | 1900 | 1946 |
| הוגה השיטה≠ | Classical exact test; textbook treatment by Siegel & Castellan | Karl Pearson / classical large-sample z approximation | W. J. Dixon & A. M. Mood |
| סוג≠ | Exact one-sample test for a proportion | Parametric proportion comparison | Nonparametric median test |
| מקור מכונן≠ | Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574 | Fleiss, J. L., Levin, B., & Paik, M. C. (2003). Statistical Methods for Rates and Proportions (3rd ed.). Wiley. DOI ↗ | Dixon, W. J. & Mood, A. M. (1946). The statistical sign test. Journal of the American Statistical Association, 41(236), 557–566. DOI ↗ |
| כינויים≠ | exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi | z-test for proportions, two-sample proportion test, one-proportion z-test, Oran Testi — z Testi (Oranlar) | İşaret Testi (Sign Test), one-sample sign test, paired sign test |
| קשורות≠ | 2 | 4 | 4 |
| תקציר≠ | 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). | The proportion test (z-test for proportions) is a parametric hypothesis test that compares one or two sample proportions against a reference value or each other. Grounded in the large-sample normal approximation formalized by Fleiss, Levin, and Paik (2003), it is the standard tool for binary outcome comparisons when samples are large enough for the central limit theorem to apply. | The sign test is the simplest nonparametric hypothesis test for deciding whether the median of paired differences — or of a single sample — differs significantly from a hypothesised value. Formalised by W. J. Dixon and A. M. Mood in 1946, it imposes virtually no distributional assumptions and can be applied to any data where individual differences can be classified as positive or negative. |
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