A Generalized Estimating Equation Method for Fitting Autocorrelated Ordinal Score Data with an Application in Horticultural Research. Parsons, N. R., Edmondson, R. N., & Gilmour, S. G. *Appl Stat*, 2006.

abstract bibtex

abstract bibtex

Generalized estimating equations for correlated repeated ordinal score data are developed assuming a proportional odds model and a working correlation structure based on a first-order autoregressive process. Repeated ordinal scores on the same experimental units, not necessarily with equally spaced time intervals, are assumed and a new algorithm for the joint estimation of the model regression parameters and the correlation coefficient is developed. Approximate standard errors for the estimated correlation coefficient are developed and a simulation study is used to compare the new methodology with existing methodology. The work was part of a project on post-harvest quality of pot-plants and the generalized estimating equation model is used to analyse data on poinsettia and begonia pot-plant quality deterioration over time. The relationship between the key attributes of plant quality and the quality and longevity of ornamental pot-plants during shelf and after-sales life is explored.

@article{par06gen, title = {A {{Generalized Estimating Equation Method}} for {{Fitting Autocorrelated Ordinal Score Data}} with an {{Application}} in {{Horticultural Research}}}, volume = {55}, abstract = {Generalized estimating equations for correlated repeated ordinal score data are developed assuming a proportional odds model and a working correlation structure based on a first-order autoregressive process. Repeated ordinal scores on the same experimental units, not necessarily with equally spaced time intervals, are assumed and a new algorithm for the joint estimation of the model regression parameters and the correlation coefficient is developed. Approximate standard errors for the estimated correlation coefficient are developed and a simulation study is used to compare the new methodology with existing methodology. The work was part of a project on post-harvest quality of pot-plants and the generalized estimating equation model is used to analyse data on poinsettia and begonia pot-plant quality deterioration over time. The relationship between the key attributes of plant quality and the quality and longevity of ornamental pot-plants during shelf and after-sales life is explored.}, number = {4}, journal = {Appl Stat}, author = {Parsons, N. R. and Edmondson, R. N. and Gilmour, S. G.}, year = {2006}, keywords = {ordinal-response,longitudinal-data,serial-data,proportional-odds-model}, citeulike-article-id = {13265993}, citeulike-linkout-0 = {http://www.jstor.org/stable/3879106}, posted-at = {2014-07-14 14:10:09}, priority = {0} }

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