AMTDISPLAY procedure

Displays further output for multitiered experiments analysed by AMTIER (C.J. Brien & R.W. Payne).

Option

PRINT = string tokens	Controls printed output from the analysis (aovtable, aovpseudotable, design, effects, fittedvalues); default * i.e. none

Parameter

SAVE = pointers	Save structure for each analysis (saved from AMTIER); if this is not set the output is from the most recent AMTIER analysis

Description

The 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 AMTIER.

The output is controlled by the PRINT option with settings:

aovtable	to print the analysis-of-variance table,
aovpseudotable	to print the analysis-of-variance table with lines for all the pseudo-terms (generated by pseudo-factors) given explicitly,
design	to display the structure of the design,
effects	to print tables of effects and residuals, and
fittedvalues	to print a table with the y-variate, fitted valued and residuals.

Option: PRINT.

Parameter: SAVE.

Method

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).

Action with RESTRICT

There must not be any restrictions.

References

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.

See also

Procedures: AMTIER, AMTKEEP.

Commands for: Analysis of variance.

Example

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]