HorseBeginners: Actual and imaginary performances in equitation

In PairedData: Paired Data Analysis

Description

This dataset gives the actual and motor imaginary performances (time) in horse-riding for 8 beginners.

Usage

data(HorseBeginners)

Format

A dataframe with 8 rows and 3 columns.

[,1]	Subject	factor	Anonymous subjects
[,2]	Actual	numeric	Actual performance (sec.)
[,3]	Imaginary	numeric	Imaginary performance (sec.)

Source

Private communication. Aymeric Guillot, CRIS, Lyon 1 University, FRANCE.

References

Louis, M. Collet, C. Champely, S. and Guillot, A. (2010) Differences in motor imagery time when predicting task duration. Research Quarterly for Exercise and Sport.

Examples

data(HorseBeginners)

# There is one outlier
with(HorseBeginners,plot(paired(Actual,Imaginary),type="profile"))

# This outlier has a great influence
# on the non robust Pitman-Morgan test of variances
with(HorseBeginners,Var.test(paired(Actual,Imaginary)))
with(HorseBeginners[-1,],Var.test(paired(Actual,Imaginary)))
with(HorseBeginners,grambsch.Var.test(paired(Actual,Imaginary)))
with(HorseBeginners,bonettseier.Var.test(paired(Actual,Imaginary)))

Example output

Loading required package: MASS
Loading required package: gld
Loading required package: mvtnorm
Loading required package: lattice
Loading required package: ggplot2

Attaching package: 'PairedData'

The following object is masked from 'package:base':

    summary


	Paired Pitman-Morgan test

data:  Actual and Imaginary
t = -3.2675, df = 6, p-value = 0.01709
alternative hypothesis: true ratio of variances is not equal to 1
95 percent confidence interval:
 0.01975295 0.64755197
sample estimates:
variance of x variance of y 
     41.55964     367.46713 


	Paired Pitman-Morgan test

data:  Actual and Imaginary
t = -1.3054, df = 5, p-value = 0.2486
alternative hypothesis: true ratio of variances is not equal to 1
95 percent confidence interval:
 0.05133341 2.30538289
sample estimates:
variance of x variance of y 
      48.4735      140.9071 


	Paired Grambsch test

data:  Actual and Imaginary
z = -1.5391, p-value = 0.1238
alternative hypothesis: true ratio of variances is not equal to 1


	Paired Bonett-Seier test

data:  Actual and Imaginary
z = -1.6579, p-value = 0.09734
alternative hypothesis: true ratio of means absolute deviations is not equal to 1
95 percent confidence interval:
 0.1044491 1.2075867
sample estimates:
 mean abs. dev. of x  mean abs. dev. of y 
             4.78875             13.48375 

PairedData documentation built on May 1, 2019, 6:49 p.m.