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Q = Xbar'C'(CVC')^(-1)C Xbar with V = diag of Yuen squared standard errors and Johansen's adjusted chi-squared critical value.

Usage

JohanQ(groups, C, tr = 0.2, alpha = 0.05)

Arguments

groups

List of numeric vectors.

C

Contrast matrix (k x J).

tr

Trimming proportion.

alpha

Level.

Value

list(statistic, crit, reject, p_value, A).

References

Wilcox, R. R. (2017). Modern Statistics for the Social and Behavioral Sciences, 2nd ed. Eqs (10.3)-(10.4).

Examples

JohanQ(list(1:5, c(1:4, 9)), matrix(c(1, -1), 1))$statistic
#> [1] 0