A viable method for goodness-of-fit test in maximum likelihood fit

ZHANG Feng; GAO Yuan-Ning; HUO Lei

doi:10.1088/1674-1137/35/6/014

Chinese Physics C> 2011, Vol. 35> Issue(6) : 580-584 DOI: 10.1088/1674-1137/35/6/014

A viable method for goodness-of-fit test in maximum likelihood fit

Abstract
HTML
Reference
Related

PDF

Abstract：
A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.

References

[1]

Hoel P G. Ann. Math. Stat., 1938, 9: 1582 Baker S, Cousins R D. Nucl. Instrum. Methods, 1984, 221: 4373 Cowen G. Statistical Data Analysis. Oxford: Clarendon Press, 1998. 894 ZHANG Feng, GAO Yuan-Ning, HUO Lei. Phys. Lett. B, 2009, 681: 2375 Amsler C et al. (Particle Data Group). Phys. Lett. B, 2008, 667: 16 Ablikim M et al. (BES collaboration). Phys. Lett. B, 2006, 632: 181

[1]	T. V. Nhan Hao , N. N. Bao Nguyen , D. Quang Tam , P. Quentin , L. Bonneau , Meng-Hock Koh . Odd-even mass differences of well and rigidly deformed nuclei in the rare earth region: Test of a newly proposed fit for average pairing matrix elements. Chinese Physics C, 2025, 49(3): 034101. doi: 10.1088/1674-1137/ad8bb1
[2]	Chengdong Han , Qiang Fu , Xurong Chen . Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and with DGLAP evolution with GLR-MQ-ZRS corrections. Chinese Physics C, 2018, 42(10): 103103. doi: 10.1088/1674-1137/42/10/103103
[3]	Da-Li Zhang , Hong Lu , Huan-Yu Wang , Xin-Qiao Li , Yan-Bing Xu , Zheng-Hua An , Hui Wang , Feng Shi , Ping Wang , Xiao-Yun Zhao , . Beam test of CSES silicon strip detector module. Chinese Physics C, 2017, 41(5): 056101. doi: 10.1088/1674-1137/41/5/056101
[4]	Cheng-Dong Han , Xu-Rong Chen . Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy method. Chinese Physics C, 2017, 41(11): 113103. doi: 10.1088/1674-1137/41/11/113103
[5]	Pei-Xian Li , Meng-Yun Guan , Chang-Gen Yang , Peng Zhang , Jin-Chang Liu , Yong-Peng Zhang , Cong Guo , Yi Wang . Preliminary test results of LAr prototype detector. Chinese Physics C, 2016, 40(11): 116005. doi: 10.1088/1674-1137/40/11/116005
[6]	XU Tong-Ye , DU Yan-Yan , WANG Xu , SHAO Ruo-Bin , ZHANG Deng-Feng , ZHU Cheng-Guang . Test of the LHAASO electron detector prototype using cosmic rays. Chinese Physics C, 2014, 38(11): 116004. doi: 10.1088/1674-1137/38/11/116004
[7]	PAN Wei-Min , HUANG Tong-Ming , MA Qiang , WANG Guang-Wei , LIN Hai-Ying , ZHAO Guang-Yuan , SUN Yi , XU Bo , WANG Qun-Yao , SHA Peng . Development of a 500 MHz high power RF test stand. Chinese Physics C, 2012, 36(4): 355-361. doi: 10.1088/1674-1137/36/4/011
[8]	XU Ji-Lei , GUAN Meng-Yun , YANG Chang-Gen , WANG Yi-Fang , ZHANG Jia-Wen , LU Chang-Guo , Kirk McDonald , Robert Hackenburg , Kwong Lau , Logan Lebanowski , Cullen Newsom , Lin Shih-Kai , Jonathan Link , MA Lie-Hua , Viktor Pec , Vit Vorobel , CHEN Jin , LIU Jin-Chang , ZHOU Yong-Zhao , LIANG Hao . Design and preliminary test results of Daya Bay RPC modules. Chinese Physics C, 2011, 35(9): 844-850. doi: 10.1088/1674-1137/35/9/011
[9]	WU Xiao-Bing , OUYANG Hua-Fu , CHI Yun-Long , HE Wei , HUANG Tao , LI Gang , LIU Ying-Man , LU Yan-Hua , XU Tao-Guang , ZHANG Jun-Song , ZHANG Hua-Shun , ZHAO Fu-Xiang . CSNS H^- ion source test stand. Chinese Physics C, 2011, 35(7): 679-683. doi: 10.1088/1674-1137/35/7/014
[10]	LU Yan-Hua , LI Gang , OUYANG Hua-Fu . Control system for the CSNS ion source test stand. Chinese Physics C, 2010, 34(12): 1883-1886.
[11]	WANG Zhen-Tian , HUANG Zhi-Feng , ZHANG Li , KANG Ke-Jun , CHEN Zhi-Qiang , ZHU Pei-Ping . Preliminary attempt on maximum likelihood tomosynthesis reconstruction of DEI data. Chinese Physics C, 2009, 33(11): 981-985. doi: 10.1088/1674-1137/33/11/010
[12]	HAN Ji-Feng , ZHANG Jia-Wen , CHEN Jin , ZHANG Qing-Min , LIU Qian , XIE Yu-Guang , QIAN Sen , MA Lie-Hua . Test of BESⅢ RPC in the avalanche mode. Chinese Physics C, 2008, 32(5): 373-376. doi: 10.1088/1674-1137/32/5/009
[13]	WANG You-Kai , MO Xiao-Hu , YUAN Chang-Zheng , LIU Jue-Ping . Re-fit of τ Mass Based on Improved Theoretical Calculations. Chinese Physics C, 2007, 31(4): 325-331.
[14]	MO Xiao-Hu . Unbiased χ² Estimator for Linear Function Fit Involving Correlated Data. Chinese Physics C, 2007, 31(8): 745-749.
[15]	DU Shu-Xian , YUAN Chang-Zheng . A Kinematic Fit Method for All-Photon Events. Chinese Physics C, 2006, 30(7): 670-674.
[16]	Chen Tingyang . Application of maximum likelihood method in reconstruction of charged particle tracks. Chinese Physics C, 1994, 18(4): 302-309.
[17]	Chen Tingyang . Application of Maximum Likelihood Method in Reconstruction of Charged Particle Tracks. Chinese Physics C, 1994, 18(Z1): 9-18.
[18]	Chen Guoming , Chen Hesheng , Jin Bingnian , Tang Xiaowei , Tong Guoliang , Wu Yigen , Zhong Chongchang . e/π Separation Analysis from L3 Calorimeter Beam Test. Chinese Physics C, 1992, 16(S1): 1-10.
[19]	JIN Bing-Nian , XU Ya-Di . Z⁰ Line Shape Fit. Chinese Physics C, 1992, 16(3): 197-201.
[20]	Jin Bingnian , Xu Yadi . Z⁰ Line Shape Fit. Chinese Physics C, 1992, 16(S1): 11-16.

Access

Get Citation

ZHANG Feng, GAO Yuan-Ning and HUO Lei. A viable method for goodness-of-fit test in maximum likelihood fit[J]. Chinese Physics C, 2011, 35(6): 580-584. doi: 10.1088/1674-1137/35/6/014

ZHANG Feng, GAO Yuan-Ning and HUO Lei. A viable method for goodness-of-fit test in maximum likelihood fit[J]. Chinese Physics C, 2011, 35(6): 580-584. doi: 10.1088/1674-1137/35/6/014 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-09-07
Revised: 2010-11-22

Article Metric

Article Views(2567)
PDF Downloads(448)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A viable method for goodness-of-fit test in maximum likelihood fit

Received Date: 2010-09-07
Accepted Date: 2010-11-22
Available Online: 2011-06-05

Abstract: A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.