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...

In general, the coefficient estimates of linear models are carried out using ordinary least squares (OLS) method. Since analysis variance is also a model, coefficients can be estimated least-squares this study, in two-way were performed by Cholesky decomposition. The purpose decomposition finding make variables used model being orthogonal such that important easily identified. sum (row, column,...

In this article we consider the Two-Way ANOVA model with unequal cell frequencies without the assumption of equal error variances. By taking the generalized approach to finding p-values, classical F-tests for no interaction effects and equal main effects are extended under heteroscedasticity. The generalized Ftests developed in this article can be utilized in significance testing or in fixed le...

When evaluating the clinical performance of a medical imaging device, multi-reader multi-case (MRMC) analysis is usually applied to account for both case and reader variability. For task that equates quantitative measurement, an agreement such as limits (LOA) method can be used compare different measurement methods. In this work, we introduce four types comparisons; these differ depending on wh...