Robust shrinkage estimation and selection for functional multiple linear model through LAD loss

2016 ◽  
Vol 103 ◽  
pp. 384-400 ◽  
Author(s):  
Lele Huang ◽  
Junlong Zhao ◽  
Huiwen Wang ◽  
Siyang Wang
Keyword(s):  
Linear Model ◽  
Shrinkage Estimation ◽  
Selection For

Shrinkage Estimation for a Dynamic Input-Output Linear Model

2020 ◽  
pp. 249-266
Author(s):  
Young-Won Kim ◽  
David M. Nickerson ◽  
I.V. Basawa
Keyword(s):  
Linear Model ◽  
Shrinkage Estimation ◽  
Input Output

Genotype × environmental interactions for wheat yields and selection for widely adapted wheat genotypes

1979 ◽  
Vol 30 (2) ◽  
pp. 221 ◽  
Author(s):  
PS Brennan ◽  
DE Byth
Keyword(s):  
Linear Model ◽  
Regression Coefficient ◽  
Wheat Cultivars ◽  
Genotype X Environment ◽  
G X E Interaction ◽  
Selection Strategies ◽  
Environmental Interactions ◽  
Selection For ◽  
Cultivar Responses ◽  
Selection Differentials

Large genotype x environment (g x e) interaction variances for yield relative to those for genotypes have been recognized for wheat cultivars in Queensland. The utility of a linear model to explain these interactions was examined by yield-testing 100 different wheat cultivars at nine different environments, including four locations and three years, in south-eastern Queensland. The linear model was found to explain less than 40% of the total g x e interaction and to give only a general indication of cultivar responses to different environments. Selection strategies to identify widely adapted cultivar involving several parameters (mean cultivar yield over all environments, the g x e interaction for each cultivar and the regression coefficient for each cultivar), singly and in combination, were evaluated. Greater selection differentials were found in most environments when selection was practiced for high mean yield across all environments when the yield of each cultivar in each environment was expressed as a percentage of the environment mean yield.

Estimating the Number of Aberrant Laboratories

1995 ◽  
Vol 9 (1) ◽  
pp. 133-150 ◽  
Author(s):  
Ingram Olkin ◽  
Irwin Guttman ◽  
Robert Philips
Keyword(s):  
Linear Model ◽  
Analysis Of Variance ◽  
Subset Selection ◽  
Bayesian Estimate ◽  
Present Procedure ◽  
Anova Model ◽  
Selection For

It has long been observed that independent laboratories differ in reporting the results of repeated experiments. The problem is to detect those laboratories that might be considered aberrant. Previous analyses have been based on an analysis of variance framework or on subset selection for the detection of aberrant laboratories. The present procedure is also based on an ANOVA model but uses a Bayesian estimate of the number of aberrant laboratories. Subsequent to the determination of the aberrant laboratories, a linear model is used to separate sampling and laboratory effects.

Effect of bearing and rearing lambs on Merino wool production

1990 ◽  
Vol 30 (5) ◽  
pp. 591 ◽  
Author(s):  
AJ Charlick ◽  
GW Arnold
Keyword(s):  
Linear Model ◽  
Western Australia ◽  
Similar Amount ◽  
Winter Rainfall ◽  
Wool Production ◽  
Merino Wool ◽  
Selection For ◽  
Different Response ◽  
Supplementary Feed

Over a 15-year period, the greasy fleece weights of medium-wooled Merino ewes lambing in June in a 625 mm winter rainfall area in south-western Australia were examined in relation to the numbers of lambs born and reared. The ewes were set stocked at 6.7 ewes/ha on annual pasture. During this period selection for increased wool production was undertaken. A generalised linear model was used to assess the effects of bearing and rearing lambs. There was a significant (P<0.05) year x lambing interaction because of a different response over years 1-7 from that over years 8-15. Over years 1-7 when dry ewes cut an average of 4250 g greasy wool, ewes raising single lambs cut 185 g less wool (P<0.001); the few that raised twins cut a similar amount of wool to dry ewes. In years 8-15, wool production of dry ewes increased to an average of 5524 g. Ewes that lambed but lost their lambs cut 386 g less wool, those raising single lambs 652 g less wool, and those raising twins 846 g less wool. Over years 8-15, a second flock in which some ewes lambed twice a year was examined. These ewes received supplementary feed for out of season lambing. Those that raised 2 single lambs in a year cut 1120 g less wool than dry ewes.

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