Performs pairwise t-tests for an analysis of variance, making corrections for multiple comparisons.

Usage,
posthocPairwiseT(x, ...)

Arguments

x

An aov object

...

Arguments to be passed to pairwise.t.test

Value

As per pairwise.t.test

Details

The intention behind this function is to allow users to use simple tools for multiple corrections (e.g., Bonferroni, Holm) as post hoc corrections in an ANOVA context, using the fitted model object (i.e., an aov object) as the input. The reason for including this function is that Tukey / Scheffe methods for constructing simultaneous confidence intervals (as per TukeyHSD) are not often discussed in the context of an introductory class, and the more powerful tools provided by the multcomp package are not appropriate for students just beginning to learn statistics.

This function is currently just a wrapper function for pairwise.t.test, and it only works for one-way ANOVA, but this may change in future versions.

Examples

# create the data set to analyse:
dataset <- data.frame(
  outcome = c( 1,2,3, 2,3,4, 5,6,7 ),
  group = factor(c( "a","a","a", "b","b","b","c","c","c"))
)

# run the ANOVA and print out the ANOVA table:
anova1 <- aov( outcome ~ group, data = dataset )
summary(anova1)
#>             Df Sum Sq Mean Sq F value  Pr(>F)   
#> group        2     26      13      13 0.00659 **
#> Residuals    6      6       1                   
#> ---
#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

# Currently, the following two commands are equivalent:
posthocPairwiseT( anova1 )
#> 
#> 	Pairwise comparisons using t tests with pooled SD 
#> 
#> data:  outcome and group 
#> 
#>   a      b     
#> b 0.2666 -     
#> c 0.0081 0.0208
#> 
#> P value adjustment method: holm 
pairwise.t.test( dataset$outcome, dataset$group )
#> 
#> 	Pairwise comparisons using t tests with pooled SD 
#> 
#> data:  dataset$outcome and dataset$group 
#> 
#>   a      b     
#> b 0.2666 -     
#> c 0.0081 0.0208
#> 
#> P value adjustment method: holm