Analysis of covariance under variance heteroscedasticity in general factorial designs
نویسندگان
چکیده
منابع مشابه
Smoothing analysis of variance for general designs
Hodges et al (2007) proposed smoothed analysis of variance (ANOVA) and showed how to use it to smooth interactions in balanced, single-error-term ANOVAs. Besides avoiding discontinuous choices to include or exclude effects, smoothed ANOVA addresses three practical concerns: unreplicated designs, masking in effects with many degrees of freedom, and “subgroup analysis”. The present paper extends ...
متن کاملA General Criterion for Factorial Designs Under Model Uncertainty
Motivated by two industrial experiments in which rather extreme prior knowledge was used to choose the design, we show that the QB criterion, which aims to improve the estimation in as many models as possible by incorporating experimenters’ prior knowledge along with an approximation to the As criterion, is more general and has a better statistical interpretation than many standard criteria. Th...
متن کاملConstruction and Analysis of Linear Trend-free Factorial Designs under a General Cost Structure
When experimental units exhibit a smooth trend over time or in space, random allocation of treatments may no longer be appropriate. Instead, systematic run orders may have to be used to reduce or eliminate the effects of such a trend. The resulting designs are referred to as trend-free designs. We consider here, in particular, linear trend-free designs for factorial treatment structures such th...
متن کاملStatistical Inference on the General Linear Models under Heteroscedasticity
Assuming a general linear model with unknown and possibly unequal normal error variances, the interest is to develop a one-sample procedure to handle the statistical problems involving point estimation, confidence region, and general linear hypotheses on regression parameters. The sampling procedure is to split up each single sample of size ni at a controllable regressor’s data point into two p...
متن کاملD-optimal Factorial Designs under Generalized Linear Models
Generalized linear models (GLMs) have been used widely for modelling the mean response both for discrete and continuous random variables with an emphasis on categorical response. Recently Yang, Mandal and Majumdar (2013) considered full factorial and fractional factorial locally D-optimal designs for binary response and two-level experimental factors. In this paper, we extend their results to a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Statistics in Medicine
سال: 2021
ISSN: 0277-6715,1097-0258
DOI: 10.1002/sim.9092