KKM_test | R Documentation |
This function calculates the test statistic for testing H_0: There is no interaction, and corresponding Monte Carlo p-value proposed by Kharrati-Kopaei and Miller (2016).
KKM_test(x, nsim = 1000, alpha = 0.05, report = TRUE, nc0 = 10000)
x |
a numeric matrix, a \times b data matrix where the number of row and column is corresponding to the number of factor levels. |
nsim |
a numeric value, the number of Monte Carlo samples for computing an exact Monte Carlo p-value. The default value is 10000. |
alpha |
a numeric value, the level of the test. The default value is 0.05. |
report |
logical: if |
nc0 |
a numeric value, the number of Monte Carlo samples for computing the unbiasing constant c_0. The default value is 10000. |
Kharrati-Kopaei and Miller (2016) proposed a test statistic for testing interaction based on inspecting all pairwise interaction contrasts (PIC). This test depends on an unbiasing constant c_0 that is calculated by a Monte Carlo simulation. In addition, the null distribution of the test statistic is calculated by a Monte Carlo simulation. This test is not applicable when both a and b are less than three. Note that this test procedure is powerful when significant interactions are caused by some data cells.
An object of the class ITtest
, which is a list inducing following components:
pvalue_exact |
The calculated exact Monte Carlo p-value. |
pvalue_appro |
is not available for |
Nsim |
The number of Monte Carlo samples that are used to estimate p-value. |
statistic |
The value of the test statistic. |
data_name |
The name of the input dataset. |
test |
The name of the test. |
Level |
The level of test. |
Result |
The result of the test at the alpha level with some descriptions on the type of significant interaction. |
Kharrati-Kopaei, M., Miller, A. (2016). A method for testing interaction in unreplicated two-way tables: using all pairwise interaction contrasts. Statistical Computation and Simulation 86(6):1203-1215.
Shenavari, Z., Kharrati-Kopaei, M. (2018). A Method for Testing Additivity in Unreplicated Two-Way Layouts Based on Combining Multiple Interaction Tests. International Statistical Review 86(3): 469-487.
data(RDWW) KKM_test(RDWW, nsim = 1000, nc0 = 1000)
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