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One-way ANOVA (omnibus F-test) across groups

Source: R/ops-timefreq.R
oneWayAnova.Rd

Classic one-way analysis of variance (equal-variance omnibus F-test) comparing the means of k >= 2 independent groups. The F-statistic and its p-value reproduce base R stats::oneway.test(var.equal = TRUE) and scipy.stats.f_oneway bit-for-bit. This is the standard many-group generalisation of the independent two-sample t-test (twoSampleTTest).

Usage

oneWayAnova(x, ...)

Arguments

x

Either a list of k >= 2 numeric group vectors, or the first group's numeric vector (with further groups passed through ...).

...

Additional numeric group vectors when x is a single vector.

Value

A list with statistic (the F-ratio), p_value, df1 (between-groups degrees of freedom, k - 1), df2 (within-groups, N - k), k (number of groups) and n (total sample size).

See also

twoSampleTTest, pairedTTest

Examples

oneWayAnova(list(rnorm(20), rnorm(20, 1), rnorm(20, 2)))
#> $statistic
#> [1] 20.59068
#> 
#> $p_value
#> [1] 1.8604e-07
#> 
#> $df1
#> [1] 2
#> 
#> $df2
#> [1] 57
#> 
#> $k
#> [1] 3
#> 
#> $n
#> [1] 60
#>