@article{FERREIRA_CHAVES_SOUZA_2018, title={THE THEORY OF THE INTERNALLY STUDENTIZED RANGE DISTRIBUTION REVISITED}, volume={36}, url={https://biometria.ufla.br/index.php/BBJ/article/view/308}, DOI={10.28951/rbb.v36i4.308}, abstractNote={<p>The present paper intends to revisit the distribution of the ratio of the&nbsp;range to the sample standard deviation, known as the distribution of the internally&nbsp;studentized range, in the normal case. This distribution has its importance recognized&nbsp;in several areas, as quality control and inference, for testing the lack of homogeneity of&nbsp;the data or kurtosis. An alternative distribution to the one presented by David et al.&nbsp;(1954), based on the distribution of the maximum, is proposed. We exhibit a detailed&nbsp;proof for the distribution of the internally studentized range in the normal case and&nbsp;sample size 3. We also provide a new result: the distribution for the uniform case with&nbsp;sample of size 3.</p>}, number={4}, journal={Brazilian Journal of Biometrics}, author={FERREIRA, Daniel Furtado and CHAVES, Lucas Monteiro and SOUZA, Devanil Jaques de}, year={2018}, month={Dec.}, pages={802–826} }