projs.combine.p2canon {dae} | R Documentation |

## Extract, from a p2canon object, the projectors that give the combined canonical decomposition

### Description

Extracts, from a p2canon object obtained using
`projs.2canon`

, the projectors that give the combined
canonical decomposition of two sets of projectors
(Brien and Bailey, 2009).

### Usage

`projs.combine.p2canon(object)`

### Arguments

`object` |
A |

### Value

A `list`

, each of whose components is a projector in the decomposition.

### Author(s)

Chris Brien

### References

Brien, C. J. and R. A. Bailey (2009). Decomposition tables for
multitiered experiments. I. A chain of randomizations.
*The Annals of Statistics*, **36**, 4184 - 4213.

### See Also

`projs.2canon`

, `proj2.eigen`

, `proj2.combine`

in package dae.

`projector`

for further information about this class.

### Examples

```
## PBIBD(2) from p. 379 of Cochran and Cox (1957) Experimental Designs.
## 2nd edn Wiley, New York
PBIBD2.unit <- list(Block = 6, Unit = 4)
PBIBD2.nest <- list(Unit = "Block")
trt <- factor(c(1,4,2,5, 2,5,3,6, 3,6,1,4, 4,1,5,2, 5,2,6,3, 6,3,4,1))
PBIBD2.lay <- designRandomize(allocated = trt,
recipient = PBIBD2.unit,
nested.recipients = PBIBD2.nest)
## obtain sets of projectors
unit.struct <- pstructure(~ Block/Unit, data = PBIBD2.lay)
trt.struct <- pstructure(~ trt, data = PBIBD2.lay)
##obtain combined decomposition
unit.trt.p2canon <- projs.2canon(unit.struct$Q, trt.struct$Q)
UcombineT <- projs.combine.p2canon(unit.trt.p2canon)
```

[Package

*dae*version 3.2.28 Index]