Journal of Statistics: Advances in Theory and Applications[1] Y. M. M. Bishop, S. E. Fienberg and P. W. Holland, Discrete
Multivariate Analysis: Theory and Practice, Cambridge, The MIT Press,
1975.
[2] A. H. Bowker, A test for symmetry in contingency tables, Journal
of the American Statistical Association 43 (1948), 572-574.
[3] H. Caussinus, Contribution à l’analyse statistique des
tableaux de corrélation, Annales de la Faculté des Sciences de
l’Université de Toulouse 29 (1965), 77-182.
[4] Centers for Disease Control and Prevention; National Centers for
Health Statistics; The National Health and Nutrition Examination
Survey; 1999–2000 Data Documentation, Codebook, and
Frequencies; Audiometry (1999-2000).
https://wwwn.cdc.gov/Nchs/Nhanes/1999-2000/AUX1.htm
[5] Centers for Disease Control and Prevention; National Centers for
Health Statistics; The National Health and Nutrition Examination
Survey; 2003–2004 Data Documentation, Codebook, and
Frequencies; Audiometry (2003-2004).
https://wwwn.cdc.gov/Nchs/Nhanes/2003-2004/AUX_C.ht
m
[6] Centers for Disease Control and Prevention; National Centers for
Health Statistics; The National Health and Nutrition Examination
Survey; Audiometry/Tympanometry Procedures Manual (2009).
http://www.cdc.gov/nchs/data/nhanes/nhanes_09_10/au
diometry_09.pdf
[7] Centers for Disease Control and Prevention; National Centers for
Health Statistics; The National Health and Nutrition Examination
Survey; Muscle Strength Procedures Manual (2011).
http://www.cdc.gov/nchs/data/nhanes/nhanes_11_12/Mu
scle_Strength_Proc_Manual.pdf
[8] Centers for Disease Control and Prevention; National Centers for
Health Statistics; The National Health and Nutrition Examination
Survey; 2011-2012 Data Documentation, Codebook, and Frequencies;
Muscle Strength – Grip Test (2011-2012).
https://wwwn.cdc.gov/Nchs/Nhanes/2011-2012/MGX_G.ht
m
[9] Centers for Disease Control and Prevention; National Centers for
Health Statistics; The National Health and Nutrition Examination
Survey; 2011-2012 Data Documentation, Codebook, and Frequencies;
Demographic Variables and Sample Weights (2011-2012).
https://wwwn.cdc.gov/Nchs/Nhanes/2011-2012/DEMO_G.h
tm
[10] N. Cressie and T. R. C. Read, Multinomial goodness-of-fit tests,
Journal of the Royal Statistical Society, Series B 46 (1984),
440-464.
[11] G. P. Patil and C. Taillie, Diversity as a concept and its
measurement, Journal of the American Statistical Association 77
(1982), 548-561.
[12] T. R. C. Read and N. Cressie, Goodness-of-Fit Statistics for
Discrete Multivariate Data, New York, Springer, 1988.
[13] A. Stuart, A test for homogeneity of the marginal distributions
in a two-way classification, Biometrika 42 (1955), 412-416.
[14] K. Tahata and S. Tomizawa, Symmetry and asymmetry models and
decompositions of models for contingency tables, SUT Journal of
Mathematics 50 (2014), 131-165.
[15] S. Tomizawa, Two kinds of measures of departure from symmetry in
square contingency tables having nominal categories, Statistica Sinica
4 (1994), 325-334.
[16] S. Tomizawa, T. Seo and H. Yamamoto, Power-divergence-type
measure of departure from symmetry for square contingency tables that
have nominal categories, Journal of Applied Statistics 25 (1998),
387-398.
[17] K. Yamamoto, Y. Tanaka and S. Tomizawa, Sum-symmetry model and
its orthogonal decomposition for square contingency tables with
ordered categories, SUT Journal of Mathematics 49 (2013), 121-128.
