Displays further output for multitiered experiments analysed by
AMTIER (C.J. Brien & R.W. Payne).
|Controls printed output from the analysis (
||Save structure for each analysis (saved from
AMTIER procedure analyses data from designs that require up to three model formulae to specify their analysis (resulting from three or more tiers for the experiment). Information from
AMTIER can be saved by the
SAVE parameter, and input to
AMTDISPLAY using its own
SAVE parameter. Alternatively, if
SAVE is not set,
AMTDISPLAY will display output from the most recent analysis by
The output is controlled by the
||to print the analysis-of-variance table,|
||to print the analysis-of-variance table with lines for all the pseudo-terms (generated by pseudo-factors) given explicitly,|
||to display the structure of the design,|
||to print tables of effects and residuals, and|
||to print a table with the y-variate, fitted valued and residuals.|
Multitiered experiments are defined by Brien (1983), their design is discussed by Brien & Bailey (2006) and Brien et al. (2011), and their analysis of variance is described by Brien & Payne (1999), Brien & Bailey (2009) and Bailey & Brien (2013).
There must not be any restrictions.
Bailey, R.A. & Brien C.J. (2013). Randomization-based models for multitiered experiments. I. A chain of randomizations. arXiv preprint arXiv:1310.4132: 30.
Brien, C.J. (1983). Analysis of variance tables based on experimental structure. Biometrics, 39, 53-59.
Brien, C.J. & Bailey, R.A. (2006). Multiple randomizations. Journal of the Royal Statistical Society, Series B, 68, 571-609.
Brien, C.J. & Bailey, R.A. (2009). Decomposition tables for multitiered experiments. I. A chain of randomizations. The Annals of Statistics, 36, 4184-4213.
Brien, C.J., Harch, B.D., Correll, R.L. & Bailey, R.A. (2011). Multiphase experiments with at least one later laboratory phase. I. Orthogonal designs. Journal of Agricultural, Biological and Environmental Statistics, 16, 422-450.
Brien, C.J. & Payne, R.W. (1999). Tiers, structure formulae and the analysis of complicated experiments. The Statistician, 48, 41-52.
Commands for: Analysis of variance.
CAPTION 'AMTDISPLAY example','Example from Brien & Payne (1999).';\ STYLE=meta,plain SPLOAD [PRINT=*] '%gendir%/examples/Amtier.gsh' AMTIER [PRINT=*; FACTORIAL=5;\ F1=((Occasions/Intervals/Sittings)*Judges)/Positions;\ F2=(Rows*(Squares/Columns))/Halfplots; F3=Trellis*Method] Score AMTDISPLAY [PRINT=aovtable]