ARL returns the test statistic and p-value for the aligned RL test.
Usage
ARL(y, treatment, block1, block2)
Value
A list containing the ARL test statistic adjusted for ties together
with the associated p-value using a chi-squared distribution with t-1 degrees
of freedom.
Arguments
y
a numeric vector for the response variable.
treatment
a vector giving the treatment type for the corresponding
elements of y.
block1
a vector giving the first blocking variable for the
corresponding elements of y.
block2
a vector giving the second blocking variable for the
corresponding elements of y.
Details
This test is applicable to Latin square designs. The test is not recommended
though as the use of t-1 degrees of freedom in the null distribution results
in unsatisfactorily large test sizes.
The CARL test uses t+1 degrees of freedom in the null distribution which
results is appropriate test size and good power.
References
Rayner, J.C.W and Livingston, G. C. (2022). An Introduction to Cochran-Mantel-Haenszel Testing and Nonparametric ANOVA. Wiley.