विधियों की तुलना करें

	वाल्ड-वुल्फोविट्ज़ रन्स टेस्ट	ऑटोकोरिलेशन के लिए लंग-बॉक्स Q परीक्षण
क्षेत्र	सांख्यिकी	अर्थमिति
परिवार	Hypothesis test	Hypothesis test
उद्भव वर्ष	1940	1978
प्रवर्तक	Abraham Wald & Jacob Wolfowitz	Greta Ljung & George Box
प्रकार	Nonparametric randomness test	Portmanteau goodness-of-fit test
मौलिक स्रोत	Wald, A. & Wolfowitz, J. (1940). On a test whether two samples are from the same population. Annals of Mathematical Statistics, 11(2), 147–162.	Ljung, G. M., & Box, G. E. P. (1978). On a measure of lack of fit in time series models. Biometrika, 65(2), 297–303.
उपनाम	Wald-Wolfowitz test, runs test for randomness, Runs Testi (Wald-Wolfowitz)	Ljung-Box Q Test, Modified Box-Pierce Test, Portmanteau Test for Autocorrelation, Otokorelasyon Portmanteau Testi
संबंधित	5	3
सारांश	The Wald-Wolfowitz runs test is a nonparametric hypothesis test that determines whether a sequence of observations — coded as a series of binary symbols — follows a random pattern or contains systematic structure. Introduced by Abraham Wald and Jacob Wolfowitz in 1940, the test counts the number of uninterrupted runs of identical symbols and asks whether that count is consistent with random arrangement.	The Ljung-Box Q test is a diagnostic portmanteau test proposed by Ljung and Box (1978) to assess whether a group of autocorrelations in a time series residual sequence is jointly zero. It is widely used to evaluate the adequacy of fitted time series models — especially ARIMA models — by testing whether remaining residuals exhibit any systematic pattern. The test is applicable in econometrics, finance, and any field that relies on temporal data modeling.