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

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]