We show that the one-way ANOVA and Tukey–Kramer (TK) tests agree on any sample with two groups. This result is based a simple identity connecting Fisher–Snedecor studentized probabilistic distributions proven without additional assumptions; in particular, standard assumptions (independence, normality, homoscedasticity (INAH)) are not needed. In contrast, it known for k>2 groups of observatio...

Previous research has shown that method two-way with error for multiple imputation in test and questionnaire data produces small bias in statistical analyses. This method is based on a two-way ANOVA model of persons by items but it is improper from a Bayesian point of view. Proper two-way imputations are generated using data augmentation. Simulation results show that the resulting method two-wa...

32.1 Smoothed ANOVA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 32.1.1 Zhang et al.’s SANOVA proposal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 32.1.2 Maŕi-Dell’Olmo et al.’s SANOVA proposal . . . . . . . . . . . . . . . . . . . . . . . . . . . 588 32.2 Some Specific Application...

Statistical comparison of two remediation methods: Remedial nutrient solution and enhanced natural attenuation were analyzed in terms TPH different soil samples collected from Khana Local Government Area Rivers State, Nigeria at locations placed inside sample bottles labelled A to D replicated into two, one for each the above treatment technique. The was determined using GC analyzer after solve...

Factorial models and analysis of variance have been a central pillar of statistical thinking and practice for at least 70 years, so the opportunity to revisit these topics to look for signs of new life is welcome. Given its lengthy history, Anova is an unpromising area for new development, but recent advances in computational techniques have altered the outlook regarding spatial factors, and co...

Modern society generates an incredible amount of data about individuals, and releasing summary statistics about this data in a manner that provably protects individual privacy would offer a valuable resource for researchers in many fields. We present the first algorithm for analysis of variance (ANOVA) that preserves differential privacy, allowing this important statistical test to be conducted...