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1

Meyer, Joerg M. "Independence may feel strange." Teaching Statistics 39, no. 3 (2017): 96–99. http://dx.doi.org/10.1111/test.12135.

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2

SUGIYAMA, Masashi, and Taiji SUZUKI. "Least-Squares Independence Test." IEICE Transactions on Information and Systems E94-D, no. 6 (2011): 1333–36. http://dx.doi.org/10.1587/transinf.e94.d.1333.

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Dionísio, Andreia, Rui Menezes, and Diana A. Mendes. "Entropy-Based Independence Test." Nonlinear Dynamics 44, no. 1-4 (2006): 351–57. http://dx.doi.org/10.1007/s11071-006-2019-0.

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Yodé, A. F. "Adaptive minimax test of independence." Mathematical Methods of Statistics 20, no. 3 (2011): 246–68. http://dx.doi.org/10.3103/s1066530711030069.

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Baum, Christopher F., Stan Hurn, and Kenneth Lindsay. "The BDS test of independence." Stata Journal: Promoting communications on statistics and Stata 21, no. 2 (2021): 279–94. http://dx.doi.org/10.1177/1536867x211025796.

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6

Thorjussen, Christian B. H., Kristian Hovde Liland, Ingrid Måge, and Lars Erik Solberg. "Computational Test for Conditional Independence." Algorithms 17, no. 8 (2024): 323. http://dx.doi.org/10.3390/a17080323.

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Conditional Independence (CI) testing is fundamental in statistical analysis. For example, CI testing helps validate causal graphs or longitudinal data analysis with repeated measures in causal inference. CI testing is difficult, especially when testing involves categorical variables conditioned on a mixture of continuous and categorical variables. Current parametric and non-parametric testing methods are designed for continuous variables and can quickly fall short in the categorical case. This paper presents a computational approach for CI testing suited for categorical data types, which we c
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7

Baczkowski, A. J., and K. V. Mardia. "A test of spatial independence." Journal of Applied Statistics 16, no. 3 (1989): 385–89. http://dx.doi.org/10.1080/02664768900000047.

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Fan, Yanan, Pierre Lafaye de Micheaux, Spiridon Penev, and Donna Salopek. "Multivariate nonparametric test of independence." Journal of Multivariate Analysis 153 (January 2017): 189–210. http://dx.doi.org/10.1016/j.jmva.2016.09.014.

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Giga, Mariko. "Statistical Tests, Test of Independence." Nihon Ika Daigaku Igakkai Zasshi 10, no. 2 (2014): 115–19. http://dx.doi.org/10.1272/manms.10.115.

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10

Saberi, Zahra, and Mojtab Ganjali. "Bayesian test of independence and conditional independence of two ordinal variables." Journal of Statistical Theory and Applications 14, no. 2 (2015): 156. http://dx.doi.org/10.2991/jsta.2015.14.2.4.

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Proietti, Massimiliano, Alexander Pickston, Francesco Graffitti, et al. "Experimental test of local observer independence." Science Advances 5, no. 9 (2019): eaaw9832. http://dx.doi.org/10.1126/sciadv.aaw9832.

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The scientific method relies on facts, established through repeated measurements and agreed upon universally, independently of who observed them. In quantum mechanics the objectivity of observations is not so clear, most markedly exposed in Wigner’s eponymous thought experiment where two observers can experience seemingly different realities. The question whether the observers’ narratives can be reconciled has only recently been made accessible to empirical investigation, through recent no-go theorems that construct an extended Wigner’s friend scenario with four observers. In a state-of-the-ar
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12

Zheng, John Xu. "A consistent specification test of independence." Journal of Nonparametric Statistics 7, no. 4 (1997): 297–306. http://dx.doi.org/10.1080/10485259708832707.

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13

Monfort, Alain. "Mutual Independence off Test Statistics–Solution." Econometric Theory 3, no. 3 (1987): 464. http://dx.doi.org/10.1017/s0266466600010501.

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Monfort, Alain. "Mutual Independence of F Test Statistics." Econometric Theory 2, no. 1 (1986): 156. http://dx.doi.org/10.1017/s0266466600011439.

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15

Bakirov, Nail K., Maria L. Rizzo, and Gábor J. Székely. "A multivariate nonparametric test of independence." Journal of Multivariate Analysis 97, no. 8 (2006): 1742–56. http://dx.doi.org/10.1016/j.jmva.2005.10.005.

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16

Horváth, Lajos, Marie Hušková, and Gregory Rice. "Test of independence for functional data." Journal of Multivariate Analysis 117 (May 2013): 100–119. http://dx.doi.org/10.1016/j.jmva.2013.02.005.

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17

Butler, Declan. "WHO boss faces test of independence." Nature 444, no. 7117 (2006): 250. http://dx.doi.org/10.1038/444250a.

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18

Abbiendi et al., G. "Test of the flavour independence of." European Physical Journal C 11, no. 4 (1999): 643. http://dx.doi.org/10.1007/s100520050661.

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19

Wu, George. "An empirical test of ordinal independence." Journal of Risk and Uncertainty 9, no. 1 (1994): 39–60. http://dx.doi.org/10.1007/bf01073402.

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20

Kakadjanova, Leyla. "Test statistics based on independence processes." Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences 3, no. 2 (2020): 178–87. http://dx.doi.org/10.56017/2181-1318.1093.

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21

Zhang, Bingyuan, and Joe Suzuki. "Extending Hilbert–Schmidt Independence Criterion for Testing Conditional Independence." Entropy 25, no. 3 (2023): 425. http://dx.doi.org/10.3390/e25030425.

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The Conditional Independence (CI) test is a fundamental problem in statistics. Many nonparametric CI tests have been developed, but a common challenge exists: the current methods perform poorly with a high-dimensional conditioning set. In this paper, we considered a nonparametric CI test using a kernel-based test statistic, which can be viewed as an extension of the Hilbert–Schmidt Independence Criterion (HSIC). We propose a local bootstrap method to generate samples from the null distribution H0:X⫫Y∣Z. The experimental results showed that our proposed method led to a significant performance i
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22

Lestari, Depi, Ma’ruf Sya’ban, and Fitri Nuraini. "Pengaruh Kompetensi, Etika, Independensi, Tekanan Anggaran Waktu dan Fee Audit Terhadap Kualitas Audit." SUSTAINABLE 1, no. 2 (2021): 222. http://dx.doi.org/10.30651/stb.v1i2.10653.

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ABSTRACT Audit quality can be influenced by several factors including competence, ethics, independence, time budget pressure and audit fees. The research approach used is a quantitative approach. The data analysis technique used is multiple regression analysis technique. The data quality test used is a validity test and a reliability test. For the classical assumption test, the normality test, multicollinearity test and heteroscedasticity test are used. While the hypothesis testing in this study used the F statistical test and the T statistical test. The results of this study indicate that com
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23

Ejsmont, Wiktor. "A new test for normality and independence." Didactics of Mathematics 14, no. 18 (2017): 27–31. http://dx.doi.org/10.15611/dm.2017.14.03.

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24

Aparicio, Teresa, Eduardo F. Pozo, and Dulce Saura. "An Independence Test Based on Joint Recurrences." Modern Economy 06, no. 08 (2015): 895–907. http://dx.doi.org/10.4236/me.2015.68085.

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25

Gabrys, Robertas, and Piotr Kokoszka. "Portmanteau Test of Independence for Functional Observations." Journal of the American Statistical Association 102, no. 480 (2007): 1338–48. http://dx.doi.org/10.1198/016214507000001111.

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26

Huang, Meng, Yixiao Sun, and Halbert White. "A FLEXIBLE NONPARAMETRIC TEST FOR CONDITIONAL INDEPENDENCE." Econometric Theory 32, no. 6 (2015): 1434–82. http://dx.doi.org/10.1017/s0266466615000286.

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This paper proposes a nonparametric test for conditional independence that is easy to implement, yet powerful in the sense that it is consistent and achieves n−1/2 local power. The test statistic is based on an estimator of the topological “distance” between restricted and unrestricted probability measures corresponding to conditional independence or its absence. The distance is evaluated using a family of Generically Comprehensively Revealing (GCR) functions, such as the exponential or logistic functions, which are indexed by nuisance parameters. The use of GCR functions makes the test able t
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27

Ku, C. J., and T. L. Fine. "A Bayesian Independence Test for Small Datasets." IEEE Transactions on Signal Processing 54, no. 10 (2006): 4026–31. http://dx.doi.org/10.1109/tsp.2006.880243.

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Kalemkerian, Juan, and Diego Fernández. "An independence test based on recurrence rates." Journal of Multivariate Analysis 178 (July 2020): 104624. http://dx.doi.org/10.1016/j.jmva.2020.104624.

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29

Pinkse, Joris. "A consistent nonparametric test for serial independence." Journal of Econometrics 84, no. 2 (1998): 205–31. http://dx.doi.org/10.1016/s0304-4076(97)00084-5.

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30

Dorea, C. C. Y., and E. S. Miasaki. "Asymptotic test for independence of extreme values." Acta Mathematica Hungarica 62, no. 3-4 (1993): 343–47. http://dx.doi.org/10.1007/bf01874654.

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31

Buskulic, D., D. Casper, I. De Bonis та ін. "Test of the flavour independence of αs". Physics Letters B 355, № 1-2 (1995): 381–93. http://dx.doi.org/10.1016/0370-2693(95)00713-u.

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32

Pethel, Shawn, and Daniel Hahs. "Exact Test of Independence Using Mutual Information." Entropy 16, no. 5 (2014): 2839–49. http://dx.doi.org/10.3390/e16052839.

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33

Teymur, Onur, and Sarah Filippi. "A Bayesian nonparametric test for conditional independence." Foundations of Data Science 2, no. 2 (2020): 155–72. http://dx.doi.org/10.3934/fods.2020009.

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34

Bell, Richard C., Philippa E. Pattison, and Graeme P. Withers. "Conditional Independence in a Clustered Item Test." Applied Psychological Measurement 12, no. 1 (1988): 15–26. http://dx.doi.org/10.1177/014662168801200103.

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35

Alghalith, Moawia. "A test of statistical independence under uncertainty." International Journal of Computational Economics and Econometrics 1, no. 3/4 (2010): 343. http://dx.doi.org/10.1504/ijcee.2010.037943.

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36

Fellman, Johan, and Aldur W. Eriksson. "Stillbirths in Multiple Births: Test of Independence." Twin Research and Human Genetics 9, no. 5 (2006): 677–84. http://dx.doi.org/10.1375/twin.9.5.677.

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AbstractThe stillbirth rate in twins is a more sensitive indicator of environmental hazards than the stillbirth rate in singletons. Medical care or other socioeconomic factors may be more influential for perinatal survival in twin than in single deliveries. Studies have indicated that stillbirths among children in a set of multiple maternities are not independent. Models were considered assuming independent outcomes within a set of multiple maternities. Analyses of the stillbirth rates confirm that the risk of stillbirth among males is almost constantly higher than among females. Any model int
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37

Mao, Guangyu. "Robust test for independence in high dimensions." Communications in Statistics - Theory and Methods 46, no. 20 (2016): 10036–50. http://dx.doi.org/10.1080/03610926.2016.1228965.

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38

Zargar, M., H. Jabbari Nooghabi, and M. Amini. "Test of Independence for Baker’s Bivariate Distributions." Communications in Statistics - Simulation and Computation 45, no. 9 (2016): 3074–93. http://dx.doi.org/10.1080/03610918.2014.917676.

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39

Allaire, Jérôme, and Yves Lepage. "On a likelihood ratio test for independence." Statistics & Probability Letters 11, no. 5 (1991): 449–52. http://dx.doi.org/10.1016/0167-7152(91)90194-v.

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40

Allaire, Jérôme, and Yves Lepage. "On a likelihood ratio test for independence." Statistics & Probability Letters 13, no. 2 (1992): 167. http://dx.doi.org/10.1016/0167-7152(92)90092-j.

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Selvanathan, Saroja. "A Monte Carlo test of preference independence." Economics Letters 25, no. 3 (1987): 259–61. http://dx.doi.org/10.1016/0165-1765(87)90224-2.

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42

Aparicio, Aspas Teresa, Remiro Eduardo F. Pozo, and Bacaicoa Dulce Saura. "An Independence Test Based on Joint Recurrences." Modern Economy 6, no. 8 (2015): 895–907. https://doi.org/10.4236/me.2015.68085.

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43

U. S., SUPARDI. "FREQUENCY OF FORMATIVE TEST SCORING AND THE STUDENT’S STUDY INDEPENDENCE." Jurnal Evaluasi Pendidikan 2, no. 1 (2017): 68. http://dx.doi.org/10.21009/jep.021.06.

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The objective of the study was to know the effects of interaction between formative assessment frequency and learning independence toward Calculus learning outcomes with controlling university students’ prior capacity. Research using experimental methods with 2 x 2 treatment by level design, and can be concluded from the finding, that with controlling university students’ prior capacity: (1) the group with high learning independence and was given formative assessment each subject matter got lower score on calculus learning outcomes than the group was given conventional formative assessment, (2
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44

Panggabean, Keiko Alina, and Hisar Pangaribuan. "Pengaruh Independensi Auditor, Skeptisisme Profesional, dan Objektivitas Auditor terhadap Kualitas Audit." MBIA 21, no. 1 (2022): 60–71. http://dx.doi.org/10.33557/mbia.v21i1.1736.

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Quality audits that have high quality and can be trusted are very important, in practice, the auditor must have a responsibility to build trust in the quality of the audits published. This study aims to analyze the effect of Auditor Independence, Professional Skepticism, and Auditor Objectivity on Audit Quality. The population in this study is the collection of data in this study is a Public Accounting Firm (KAP) located in Jakarta and its surroundings and a survey approach was carried out by distributing questionnaires to 112 respondents using quantitative descriptive methods. The data analys
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45

Ratnawati, Dwi. "BLENDED LEARNING MODEL TO IMPROVE STUDENTS’ LEARNING INDEPENDENCE ON VISUAL PROGRAMMING COURSE." International Journal of Business, Humanities, Education and Social Sciences (IJBHES) 1, no. 1 (2019): 12–15. http://dx.doi.org/10.46923/ijbhes.v1i1.20.

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Abstract- This research aims at finding out the improvement of student learning independence (KBM)through blended learning. The research method employs quasi experimental with design. There are 23students of Information Technology Education that divided into two sample groups, experiment class andcontrol class as the research subject. Experiment class was treated nonequivalent pre-test and post-test andgiven blended learning, while the control group was given conventional learning. The research instrumentconsists of preliminary competence test (KAM) and questionnaire of student learning indepe
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46

Risso, Wiston Adrián. "An Independence Test Based on Symbolic Time Series." International Journal of Statistical Mechanics 2014 (February 24, 2014): 1–14. http://dx.doi.org/10.1155/2014/809383.

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An independence test based on symbolic time series analysis (STSA) is developed. Considering an independent symbolic time series there is a statistic asymptotically distributed as a CHI-2 with n-1 degrees of freedom. Size and power experiments for small samples were conducted applying Monte Carlo simulations and comparing the results with BDS and runs test. The introduced test shows a good performance detecting independence in nonlinear and chaotic systems.
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47

Sukhanova, E. M. "A test for independence of two multivariate samples." Mathematical Methods of Statistics 17, no. 1 (2008): 74–86. http://dx.doi.org/10.3103/s1066530708010067.

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Bouzebda, S., and A. Keziou. "A test of independence in some copula models." Mathematical Methods of Statistics 17, no. 2 (2008): 123–37. http://dx.doi.org/10.3103/s1066530708020038.

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49

Song, Yaru, Hongyu Zhao, and Tao Wang. "An adaptive independence test for microbiome community data." Biometrics 76, no. 2 (2019): 414–26. http://dx.doi.org/10.1111/biom.13154.

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Abe, K., I. Abt, C. J. Ahn, et al. "Test of the flavor independence of strong interactions." Physical Review D 53, no. 5 (1996): R2271—R2275. http://dx.doi.org/10.1103/physrevd.53.r2271.

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