quade.test {stats} | R Documentation |

Performs a Quade test with unreplicated blocked data.

quade.test(y, ...) ## Default S3 method: quade.test(y, groups, blocks, ...) ## S3 method for class 'formula': quade.test(formula, data, subset, na.action, ...)

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

`groups` |
a vector giving the group for the corresponding elements
of `y` if this is a vector; ignored if `y` is a matrix.
If not a factor object, it is coerced to one. |

`blocks` |
a vector giving the block for the corresponding elements
of `y` if this is a vector; ignored if `y` is a matrix.
If not a factor object, it is coerced to one. |

`formula` |
a formula of the form `a ~ b | c` , where `a` ,
`b` and `c` give the data values and corresponding groups
and blocks, respectively. |

`data` |
an optional matrix or data frame (or similar: see
`model.frame` ) containing the variables in the
formula `formula` . By default the variables are taken from
`environment(formula)` . |

`subset` |
an optional vector specifying a subset of observations to be used. |

`na.action` |
a function which indicates what should happen when
the data contain `NA` s. Defaults to
`getOption("na.action")` . |

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

`quade.test`

can be used for analyzing unreplicated complete
block designs (i.e., there is exactly one observation in `y`

for each combination of levels of `groups`

and `blocks`

)
where the normality assumption may be violated.

The null hypothesis is that apart from an effect of `blocks`

,
the location parameter of `y`

is the same in each of the
`groups`

.

If `y`

is a matrix, `groups`

and `blocks`

are obtained
from the column and row indices, respectively. `NA`

's are not
allowed in `groups`

or `blocks`

; if `y`

contains
`NA`

's, corresponding blocks are removed.

A list with class `"htest"`

containing the following components:

`statistic` |
the value of Quade's F statistic. |

`parameter` |
a vector with the numerator and denominator degrees of freedom of the approximate F distribution of the test statistic. |

`p.value` |
the p-value of the test. |

`method` |
the character string `"Quade test"` . |

`data.name` |
a character string giving the names of the data. |

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.

William J. Conover (1999),
*Practical nonparametric statistics*.
New York: John Wiley & Sons.
Pages 373–380.

## 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), nr = 7, byrow = TRUE, dimnames = list(Store = as.character(1:7), Brand = LETTERS[1:5])) y quade.test(y)

[Package *stats* version 2.5.0 Index]