# Pairwise post-hoc Test for Multiple Comparisons of Rank Sums for Unreplicated Blocked Data (Quade multiple comparison test)

### Description

Calculate pairwise comparisons using Quade's post-hoc test for
unreplicated blocked data. This test is usually conducted post-hoc after significant results of the omnibus test, `quade.test`

.

### Usage

1 2 3 4 5 | ```
posthoc.quade.test(y, ...)
## Default S3 method:
posthoc.quade.test(y, groups, blocks, dist =
c("TDist", "Normal"), p.adjust.method = p.adjust.methods, ...)
``` |

### Arguments

`y` |
either a numeric vector of data values, or a data matrix. |

`groups` |
a vector giving the group for the corresponding elements of |

`blocks` |
a vector giving the block for the corresponding elements
of |

`dist` |
the method for determining the p-value. The default distribution is |

`p.adjust.method` |
Method for adjusting p values
(see |

`...` |
further arguments to be passed to or from methods. |

### Details

A one-way ANOVA with repeated measures that is also referred to as ANOVA with unreplicated block design can also be conducted via the `quade.test`

. The consequent post-hoc pairwise multiple comparison test according to Quade is conducted with this function.

If *y* is a matrix, than the columns refer to the treatment and the rows indicate the block.

See `vignette("PMCMR")`

for details.

### Value

A list with class "PMCMR"

`method ` |
The applied method. |

`data.name` |
The name of the data. |

`p.value` |
The two-sided p-value according to the selected distribution. |

`statistic` |
The estimated quantiles of the selected distribution. |

`p.adjust.method` |
The applied method for p-value adjustment. |

### Author(s)

Thorsten Pohlert

### References

W. J. Conover (1999), *Practical nonparametric Statistics*,
3rd. Edition, Wiley.

N. A. Heckert and J. J. Filliben (2003). NIST Handbook 148: Dataplot Reference Manual, Volume 2: Let Subcommands and Library Functions. National Institute of Standards and Technology Handbook Series, June 2003.

D. Quade (1979), Using weighted rankings in the analysis of complete
blocks with additive block effects. *Journal of the American
Statistical Association*, 74, 680-683.

### See Also

`quade.test`

,
`Normal`

,
`TDist`

`p.adjust`

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | ```
## Conover (1999, p. 375f):
## Numbers of five brands of a new hand lotion sold in seven stores
## during one week.
y <- matrix(c( 5, 4, 7, 10, 12,
1, 3, 1, 0, 2,
16, 12, 22, 22, 35,
5, 4, 3, 5, 4,
10, 9, 7, 13, 10,
19, 18, 28, 37, 58,
10, 7, 6, 8, 7),
nrow = 7, byrow = TRUE,
dimnames =
list(Store = as.character(1:7),
Brand = LETTERS[1:5]))
y
quade.test(y)
posthoc.quade.test(y, dist="TDist", p.adj="none")
``` |

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