Description Usage Arguments Details Value Author(s) Examples

These functions facilitate making inferences based on effect estimates in an unreplicated experiment, withn an underlying effect-sparsity model.

1 2 3 |

`method` |
The method to use in determining the reference line, curve, and/or critical values. This must be the name of a provided pseudo-standard-error method (see |

`n.effects` |
Integer number of effects estimated. |

`nsets` |
The number of complete-null samples of size |

`save` |
Logical value. If |

`effects` |
Vector of observed effects to be tested against the reference distribution. |

`pareto` |
Logical value. If |

`refdist` |
A result of a previous call to |

`ref.dist`

simulates samples of effects from the standard normal dstribution. For each sample, the pseudo standaerd error (PSE) of the effects (typically some kind of outlier-resistant estimate of the SD) is obtained via a call to `PSE`

with specified method. The absolute *t* values are obtained as ratios of the simulated effects and the PSE, as well as and the maxima of these absolute *t* values. Quantiles and tail areas of these simulated distributions then form a reference for obtaining critical values and P values in testing an observed sample of effects.

`eff.test`

performs a traditional-style analysis for an observed sample of effects. It outputs the effects, PSE, *t* ratios; and uses tail areas of the associated reference distribution to compute individual and simultaneous *P* values. The simultaneous *P* values implement a multiplicity correction for *any* type-I errors occurring among the tests.

`ref.dist`

returns an object of class `"eff_refdist"`

– structurally, a `list`

with elements `abst`

(the absolute values of the simulated *t* statistics), `max.abst`

(the sample maxima of `abst`

), and `sig`

(a signature of the form `method_n.effects`

). There is a `print`

method for this class that displays a summary.

`eff.test`

returns a `data.frame`

containing the estimates, *t ratios*, and estimated P values as tail areas of `abst`

and `max.abst`

from the reference distribution.

Russell V. Lenth

1 2 3 4 |

```
effect Zahn_PSE t.ratio p.value simult.pval
T 24.00 1.296801 18.507 0.0000 0.0000
C -8.00 1.296801 -6.169 0.0001 0.0015
c -5.50 1.296801 -4.241 0.0011 0.0139
Tc 4.50 1.296801 3.470 0.0041 0.0521
P -2.25 1.296801 -1.735 0.0806 0.6498
TP -1.25 1.296801 -0.964 0.3065 0.9996
CT 1.00 1.296801 0.771 0.4286 1.0000
TPc -0.75 1.296801 -0.578 0.5720 1.0000
CTP -0.75 1.296801 -0.578 0.5720 1.0000
CP 0.75 1.296801 0.578 0.5720 1.0000
CTc 0.50 1.296801 0.386 0.7100 1.0000
CTPc -0.25 1.296801 -0.193 0.8557 1.0000
CPc -0.25 1.296801 -0.193 0.8557 1.0000
Pc -0.25 1.296801 -0.193 0.8557 1.0000
Cc 0.00 1.296801 0.000 1.0000 1.0000
```

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