Abstract
The linear regression model introduced in Chap. 2 assumes the variance is constant, possibly from a normal distribution.
Just as the ability to devise simple but evocative models is the signature of the great scientist so overelaboration and overparameterization is often the mark of mediocrity.
Box [2, p. 792]
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
References
Akaike, H.: A new look at the statistical model identification. IEEE Transactions on Automatic Control 19(6), 716–723 (1974)
Box, G.E.P.: Science and statistics. Journal of the American Statistical Association 71, 791–799 (1976)
Chatterjee, S., Handcock, M.S., Simonoff, J.S.: A Casebook for a First Course in Statistics and Data Analysis. John Wiley and Sons, New York (1995)
Dala, S.R., Fowlkes, E.B., Hoadley, B.: Risk analysis of the space shuttle: pre-Challenger prediction of failure. Journal of the American Statistical Association 84(408), 945–957 (1989)
Dunn, P.K., Smyth, G.K.: Randomized quantile residuals. Journal of Computational and Graphical Statistics 5(3), 236–244 (1996)
Feigl, P., Zelen, M.: Estimation of exponential survival probabilities with concomitant information. Biometrics 21, 826–838 (1965)
Glaister, D.H., Miller, N.L.: Cerebral tissue oxygen status and psychomotor performance during lower body negative pressure (LBNP). Aviation, Space and Environmental Medicine 61(2), 99–105 (1990)
Hauck Jr., W.W., Donner, A.: Wald’s test as applied to hypotheses in logit analysis. Journal of the American Statistical Association 72, 851–853 (1977)
Maron, M.: Threshold effect of eucalypt density on an aggressive avian competitor. Biological Conservation 136, 100–107 (2007)
McBride, J.L., Nicholls, N.: Seasonal relationships between Australian rainfall and the southern oscillation. Monthly Weather Review 111(10), 1998–2004 (1983)
Montgomery, D.C., Peck, E.A.: Introduction to Regression Analysis. Wiley, New York (1992)
Pook, M., Lisson, S., Risbey, J., Ummenhofer, C.C., McIntosh, P., Rebbeck, M.: The autumn break for cropping in southeast Australia: trends, synoptic influences and impacts on wheat yield. International Journal of Climatology 29, 2012–2026 (2009)
Smyth, G.K.: Australasian data and story library (Ozdasl) (2011). URL http://www.statsci.org/data
Stone, R.C., Auliciems, A.: soi phase relationships with rainfall in eastern Australia. International Journal of Climatology 12, 625–636 (1992)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Science+Business Media, LLC, part of Springer Nature
About this chapter
Cite this chapter
Dunn, P.K., Smyth, G.K. (2018). Chapter 4: Beyond Linear Regression: The Method of Maximum Likelihood. In: Generalized Linear Models With Examples in R. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0118-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4419-0118-7_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-0117-0
Online ISBN: 978-1-4419-0118-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)