เปรียบเทียบวิธี

	การทดสอบอนุกรมของ Wald-Wolfowitz	การทดสอบ Ljung-Box Q สำหรับสหสัมพันธ์ในตัวเอง
สาขาวิชา	สถิติศาสตร์	เศรษฐมิติ
ตระกูล	Hypothesis test	Hypothesis test
ปีกำเนิด	1940	1978
ผู้ริเริ่ม	Abraham Wald & Jacob Wolfowitz	Greta Ljung & George Box
ประเภท	Nonparametric randomness test	Portmanteau goodness-of-fit test
แหล่งต้นตำรับ	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.
ชื่อเรียกอื่น	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
ที่เกี่ยวข้อง	5	3
สรุป	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.