Linear rank tests for randomized block designs. (English) Zbl 0696.62214
Summary: A class of locally most powerful linear rank tests for no treatment effect for various randomized block designs are presented. Closed form expressions of the test statistic are derived for the complete block design, the balanced incomplete block design and a special design in which there are missing observations on one treatment only. In addition, a test statistic is derived for the unbalanced incomplete block design. This test maximizes the minimum Pitman efficiency over a class of possible error distributions. Multiple comparison procedures are presented.
MSC:
| 62G10 | Nonparametric hypothesis testing |
| 62K10 | Statistical block designs |
| 62F03 | Parametric hypothesis testing |
Keywords:
linear rank tests; score tests; logistic distribution; extreme-value distribution; double exponential distribution; randomized block designs; Multiple comparisonReferences:
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