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Full-Text Articles in Physical Sciences and Mathematics
Options For Analyzing Unbalanced Split-Plot Experiments: A Case Study, Marta D. Remmenga, Dallas E. Johnson
Options For Analyzing Unbalanced Split-Plot Experiments: A Case Study, Marta D. Remmenga, Dallas E. Johnson
Conference on Applied Statistics in Agriculture
Unbalanced split-plot experiments present many analysis problems. This paper discusses some of the difficulties by comparing the results of the analysis recommended by Milliken and Johnson (1984) to a set of minimal sufficient statistics using a small experiment from Milliken and Johnson as a case study. The estimators used by Milliken and Johnson are not necessarily the best (smallest variance) estimators. A set of minimal sufficient statistics is used to show that the whole plot error term suggested by Milliken and Johnson does not have a distribution that is proportional to an exact chi-square distribution and is not always independent …
The Analysis Of Tree Ring Chronologies Using A Mixed Linear Model, O. Brian Allen, Daniel A.J. Ryan, David L. Mclaughlin
The Analysis Of Tree Ring Chronologies Using A Mixed Linear Model, O. Brian Allen, Daniel A.J. Ryan, David L. Mclaughlin
Conference on Applied Statistics in Agriculture
The analysis of a tree's annual growth rings can provide a great deal of information about the environment in which the tree has grown. In this paper we propose statistical methodology for analysing the incremental growth of sugar maple sampled throughout southern and central Ontario, by the Ontario Ministry of the Environment. Two trees, ranging in age from 75 to 150 years, were sampled from each of 42 stands in 6 regions. The data were analysed using a mixed linear model, incorporating age of tree, region, year, a year by region interaction and average monthly air temperature and total seasonal …