Abstract
The linear rank test statistic has been an important test statistic in the area of nonparametrics. In this study, new test statistics based on the linear rank test are derived and applied to compare two length biased distributions. Through a series of size and power simulations, it is found that the new tests adjust for length biasing so efficiently that they behave similarly to the corresponding linear rank tests without length biasing. In practice, these new test procedures can be utilized as a proper tool to adjust length bias, which enables us to analyze a length biased sample.
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