4 papers
On pairs of triangular numbers whose product is a perfect square and pairs of intervals of successive integers with equal sums of squares
Vladimir Gurvich, Mariya Naumova
A number is a triangular number if it can be written as for some nonnegative integer number . A triangular number is called square if it is a perfect sq…
Critical issues with the Pearson's chi-square test
Vladimir Gurvich, Mariya Naumova
Pearson's chi-square tests are among the most commonly applied statistical tools across a wide range of scientific disciplines, including medicine, engineering, biology, sociology,…
On remoteness functions of k-NIM with k+1 piles in normal and in misère versions
Vladimir Gurvich, Vladislav Maximchuk, Georgy Miheenkov +1
Given integer and such that and piles of stones, two players alternate turns. By one move it is allowed to choose any piles and remove exactly one st…
Logical contradictions in the One-way ANOVA and Tukey-Kramer multiple comparisons tests with more than two groups of observations
Vladimir Gurvich, Mariya Naumova
We show that the One-way ANOVA and Tukey-Kramer (TK) tests agree on any sample with two groups. This result is based on a simple identity connecting the Fisher-Snedecor and student…