YuenTTest {DescTools} | R Documentation |

## Yuen t-Test For Trimmed Means

### Description

Performs one and two sample Yuen t-tests for trimmed means on vectors of data.

### Usage

```
YuenTTest(x, ...)
## Default S3 method:
YuenTTest(x, y = NULL, alternative = c("two.sided", "less", "greater"),
mu = 0, paired = FALSE, conf.level = 0.95, trim = 0.2, ... )
## S3 method for class 'formula'
YuenTTest(formula, data, subset, na.action, ...)
```

### Arguments

`x` |
numeric vector of data values. Non-finite (e.g. infinite or missing) values will be omitted. |

`y` |
an optional numeric vector of data values: as with x non-finite values will be omitted. |

`alternative` |
is a character string, one of |

`paired` |
a logical indicating whether you want a paired z-test. |

`mu` |
a number specifying the hypothesized mean of the population. |

`conf.level` |
confidence level for the interval computation. |

`trim` |
the fraction (0 to 0.5) of observations to be trimmed from each end of x before the mean is computed. Values of trim outside that range are taken as the nearest endpoint. |

`formula` |
a formula of the form |

`data` |
an optional matrix or data frame (or similar: see |

`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 NAs. Defaults to |

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

### Value

An object of class `htest`

containing the following components:

`statistic` |
the value of the t-statistic. |

`parameter` |
the degrees of freedom for the t-statistic and the trim percentage used. |

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

`conf.int` |
a confidence interval for the trimmed mean appropriate to the specified alternative hypothesis. |

`estimate` |
the estimated trimmed mean or difference in trimmed means depending on whether it was a one-sample test or a two-sample test. |

`null.value` |
the specified hypothesized value of the trimmed mean or trimmed mean difference depending on whether it was a one-sample test or a two-sample test. |

`alternative` |
a character string describing the alternative hypothesis. |

`method` |
a character string indicating what type of test was performed. |

`data.name` |
a character string giving the name(s) of the data. |

### Author(s)

Andri Signorell <andri@signorell.net>, based on R-Core code of `t.test`

### References

Wilcox, R. R. (2005) Introduction to robust estimation and hypothesis testing. *Academic Press*.

Yuen, K. K. (1974) The two-sample trimmed t for unequal population variances. *Biometrika*, 61, 165-170.

### See Also

### Examples

```
x <- rnorm(25, 100, 5)
YuenTTest(x, mu=99)
# the classic interface
with(sleep, YuenTTest(extra[group == 1], extra[group == 2]))
# the formula interface
YuenTTest(extra ~ group, data = sleep)
# Stahel (2002), pp. 186, 196
d.tyres <- data.frame(A=c(44.5,55,52.5,50.2,45.3,46.1,52.1,50.5,50.6,49.2),
B=c(44.9,54.8,55.6,55.2,55.6,47.7,53,49.1,52.3,50.7))
with(d.tyres, YuenTTest(A, B, paired=TRUE))
d.oxen <- data.frame(ext=c(2.7,2.7,1.1,3.0,1.9,3.0,3.8,3.8,0.3,1.9,1.9),
int=c(6.5,5.4,8.1,3.5,0.5,3.8,6.8,4.9,9.5,6.2,4.1))
with(d.oxen, YuenTTest(int, ext, paired=FALSE))
```

*DescTools*version 0.99.54 Index]