Abstract
The focus of this chapter is the analysis of tabulated data. Although the measurements could be numerical, the tables summarize only the counts along the levels of two or more crossed factors according to which the data are tabulated. In this text, we go beyond the traditional coverage and discuss topics such as three-dimensional tables, multiple tables (Mantel–Haenszel theory), paired tables (McNemar test), and risk theory (risk differences, relative risk, and odds ratios) for paired tables. The risk theory for ordinary (unpaired) tables was already discussed in Chap. 10 in the context of comparing two population proportions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Chapter References
Agresti, A. (2002). Categorical Data Analysis, 2nd edn. Wiley, New York.
Allen-Mersh T. G., Earlam, S., Fordy, C., Abrams, K., and Houghton, J. (1994). Quality of life and survival with continuous hepatic-artery floxuridine infusion for colorectal liver metastases. Lancet, 344, 8932, 1255–1260.
Armitage, P. and Berry, G. (1994). Statistical Methods in Medical Research, 3rd edn. Blackwell, Oxford.
Chan, I. (1998). Exact tests of equivalence and efficacy with a non-zero lower bound for comparative studies. Stat. Med., 17, 1403–1413.
Cohen, J. (1960). A coefficient of agreement for nominal scales. Educ. Psychol. Meas., 20, 37–46.
Cohen, J. E. (1973). Independence of Amoebas. In Statistics by Example: Weighing Chances, edited by F. Mosteller, R. S. Pieters, W. H. Kruskal, G. R. Rising, and R. F. Link, with the assistance of R. Carlson and M. Zelinka. Addison-Wesley, Reading, p. 72.
Correa, P., Pickle, L.W., Fontham, E., Lin, Y., and Haenszel, W. (1983). Passive smoking and lung cancer. Lancet, 2, 8350, 595–597.
Darley, J. M. and Latané, B. (1968). Bystander intervention in emergencies: diffusion of responsibility. J. Personal. Soc. Psychol., 8, 4, 377–383.
Engeman, R. M. and Swanson, G. B. (2003). On analytical methods and inferences for 2 × 2 contingency table data using wildlife examples. Int. Biodeterior. Biodegrad., 52, 243–246.
Fienberg, S. E. (1970). The analysis of multidimensional contingency tables. Ecology, 51, 419–433.
Fienberg, S. E. (1980). The analysis of cross-classified categorical data. MIT Press, Cambridge, MA.
Fisher, R. A. (1935). The Design of Experiments (8th edn. 1966). Oliver and Boyd, Edinburgh.
Forss, H. and Halme, E. (1998). Retention of a glass ionomer cement and a resin-based fissure sealant and effect on carious outcome after 7 years. Community Dent. Oral Epidemiol., 26, 1, 21–25.
Fraser, S. C. (1974). Deindividuation: effects of anonymity on aggression in children. Unpublished technical report. University of Southern California, Los Angeles.
Galton, F. (1892). Finger Prints, MacMillan, London.
Johnson, S. and Johnson, R. (1972). Tonsillectomy history in Hodgkin’s disease. New Engl. J. Med., 287, 1122–1125.
Hersen, M. (1971). Personality characteristics of nightmare sufferers. J. Nerv. Ment. Dis., 153, 29–31.
Kirkwood, B. and Sterne, J. (2003). Essential Medical Statistics, 2nd edn. Blackwell, Oxford.
Lawal, H. B. (2003). Categorical Data Analysis with SAS and SPSS Applications. Erlbaum, Mahwah.
Mainar-Jaime, R. C., Atashparvar, N., Chirino-Trejo, M., and Blasco, J. M. (2008). Accuracy of two commercial enzyme-linked immunosorbent assays for the detection of antibodies to Salmonella spp. in slaughter pigs from Canada. Prevent. Vet. Med., 85, 41–51.
Mantel, N. and Haenszel, W. (1959). Statistical aspects of the analysis of data from retrospective studies of disease. J. Natl. Cancer Inst., 22, 719–748.
Maxwell, A. E. (1970). Comparing the classification of subjects by two independent judges. Br. J. Psychiatry, 116, 651–655.
Miettinen, O. S. (1976). Estimability and estimation in case-referent studies. Am. J. Epidemiol., 103, 226–235.
Roberts, E., Dawson, W. M., and Madden, M. (1939). Observed and theoretical ratios in Mendelian inheritance. Biometrika, 31, 56–66.
Robins, J., Breslow, N., and Greenland, S. (1986). Estimators of the Mantel-Haenszel variance consistent in both sparse data and large-strata limiting models. Biometrics, 42, 311–323.
Rosenfield, R. N., Bielefeldt, J., and Anderson, R. K. (1988). Effectiveness of broadcast calls for detecting Cooper’s hawks. Wildl. Soc. Bull., 16, 210–212.
Schoener, T. W. (1968). The Anolis lizards of Bimini: Resource partitioning in a complex fauna. Ecology, 48, 704–726.
Sleigh, A., Hoff, R., Mott, K., Barreto, M., de Paiva, T., Pedrosa, J., and Sherlock, I. (1982). Comparison of filtration staining (Bell) and thick smear (Kato) for the detection and quantitation of Schistosoma mansoni eggs in faeces. Trop. Med. Hyg., 76, 3, 403–406.
Speckmann, J. D. (1965). Marriage and kinship among the Indians in Surinam. Assen: Van-Gorgum, 32–33.
Spiegelhalter, D. J., Abrams, K. R., and Myles, J. P. (2004). Bayesian Approaches to Clinical Trials and Health Care Evaluation. Wiley, New York.
Srole, L., Langner, T., Michael, S., Opler, M., and Rennie, T. (1962). Mental Health in the Metropolis: The Midtown Manhattan Study, vol. 1. McGraw-Hill, New York.
Streissguth, A. P., Martin, D. C., Barr, H. M., Sandman, B. M., Kirchner, G. L., and Darby, B. L. (1984). Intrauterine alcohol and nicotine exposure: attention and reaction time in 4-year-old children. Dev. Psychol., 20, 533–541.
Williams, J. W. (1921). A critical analysis of twenty-one years’ experience with cesarean section. Johns Hopkins Hosp. Bull., 32, 173–184.
Worchester, J. (1971). The relative odds in 23 contingency table. Am. J. Epidemiol., 93, 145–149.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Vidakovic, B. (2011). Models for Tables. In: Statistics for Bioengineering Sciences. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0394-4_14
Download citation
DOI: https://doi.org/10.1007/978-1-4614-0394-4_14
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0393-7
Online ISBN: 978-1-4614-0394-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)