Between-subjects F statistic and eta-squared from summary information

Source: R/statpsych1.R

Computes the F statistic, p-value, eta-squared, and adjusted eta-squared for the main effect in a one-way between-subjects ANOVA using the estimated group means, estimated group standard deviations, and group sample sizes.

test.anova.bs(m, sd, n)

Arguments

m

vector of estimated group means

sd

vector of estimated group standard deviations

n

vector of group sample sizes

Value

Returns a 1-row matrix. The columns are:

  • F - F statistic for test of null hypothesis

  • dfA - degrees of freedom for between-subjects factor

  • dfE - error degrees of freedom

  • p - p-value for F-test

  • Eta-squared - estimate of eta-squared

  • adj Eta-squared - a bias adjusted estimate of eta-squared

Examples

m <- c(12.4, 8.6, 10.5)
sd <- c(3.84, 3.12, 3.48)
n <- c(20, 20, 20)
test.anova.bs(m, sd, n)
#>         F dfA dfE           p Eta-squared adj Eta-squared
#>  5.919585   2  57 0.004614428   0.1719831       0.1429298

#  Should return:
#        F dfA  dfE           p Eta-squared  adj Eta-squared
# 5.919585   2   57 0.004614428   0.1719831        0.1429298