Goodness-of-fit tests are batteries of tests that test that the distribution of a sample is equal to some fixed-in-advance distribution. We already saw Q–Q plots in Chap. 5 where the samples were compared to some theoretical distributions but in a descriptive fashion, without formal inference. In this chapter we discuss the celebrated Pearson's χ 2-test and the Kolmogorov–Smirnov (KS) test.
KeywordsCovariance Tate Biphenyl Agaricus
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- Benford, F. (1938). The law of anomalous numbers. Proc. Am. Philos. Soc., 78, 551–572.Google Scholar
- Hill, T. (1998). The first digit phenomenon. Am. Sci., 86, 358–363.Google Scholar
- Pearl, R. (1907). Variation and differentiation in Ceratophyllum. Carnegie Inst. Wash. Publ., 58, 1–136.Google Scholar
- Pearse, G. E. (1928). On corrections for the moment-coefficients of frequency distributions. Biometrika, 20 A, 314–355.Google Scholar
- Phillips, D. P. (1972). Deathday and birthday: an unexpected connection. In: Tanur, J. M. ed. Statistics: a guide to the unknown. Holden-Day, San Francisco, 52–65.Google Scholar
- Risebrough, R.W. (1972). Effects of environmental pollutants upon animals other than man. Proc. Sixth Berkeley Symp. on Math. Statist. and Prob., vol. 6, 443–453.Google Scholar
- Smirnov, N. (1939). On the estimation of the discrepancy between empirical curves of distribution for two independent samples. Bull. Math. Univ. Moscou, 2, 3–14.Google Scholar
- Struhsaker, T. T. (1965). Behavior of the vervet monkey (Cercopithecus aethiops). Ph.D. dissertation, University of California-Berkeley.Google Scholar
- von Bortkiewicz, L. (1898). Das Gesetz der kleinen Zahlen. Teubner, Leipzig.Google Scholar
- Yates, F. (1934). Contingency table involving small numbers and the Â2 test. J. R. Stat. Soc., 1 (suppl.), 2, 217–235.Google Scholar