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

Source: R/statpsych1.R
test.anova.bs.Rd

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.

For more details, see Section 3.7 of Bonett (2021, Volume 1)

Usage

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

  • Eta-squared - estimate of eta-squared

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

References

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

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
#>  5.9196   2  57 0.00461       0.172          0.1429

#  Should return:
#      F dfA  dfE       p Eta-squared  adj Eta-squared
# 5.9196   2   57 0.00461       0.172           0.1429