1989
DOI: 10.2134/agronj1989.00021962008100040021x
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Least Significant Differences for Combined Analyses of Experiments with Two‐ or Three‐Factor Treatment Designs

Abstract: Many agronomic experiments with complete factorial treatment designs are conducted in two or more environments. If at least one of the treatment factors is qualitative, the combined analysis may appropriately include pairwise comparisons of various treatment means averaged over environments. Heretofore, however, formulae for estimation of the variances of pairwise mean differences, which are needed for the calculation of least significant differences (or other mean separation procedures), have not been availab… Show more

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Cited by 369 publications
(326 citation statements)
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(7 reference statements)
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“…The experimental design was a randomized complete block with a split plot treatment arrangement with planting date serving as the whole plot unit and herbicide treatment serving as subplot units in the planting date experiment. Data for all variables were subjected to analyses of variance appropriate for treatment structure for each experiment using appropriate error terms for fixed and random effects (Carmer et al, 1989;SAS, 2006). Means of significant main effects and interactions were separated using Fisher's Protected LSD test at p # 0.05.…”
Section: Methods Common To All Experimentsmentioning
confidence: 99%
See 1 more Smart Citation
“…The experimental design was a randomized complete block with a split plot treatment arrangement with planting date serving as the whole plot unit and herbicide treatment serving as subplot units in the planting date experiment. Data for all variables were subjected to analyses of variance appropriate for treatment structure for each experiment using appropriate error terms for fixed and random effects (Carmer et al, 1989;SAS, 2006). Means of significant main effects and interactions were separated using Fisher's Protected LSD test at p # 0.05.…”
Section: Methods Common To All Experimentsmentioning
confidence: 99%
“…Each subplot was replicated four times. Data for all variables were subjected to analyses of variance appropriate for treatment structure for each experiment using appropriate error terms for fixed and random effects (Carmer et al, 1989;SAS, 2006). Means of significant main effects and interactions were separated using Fisher's Protected LSD test at p # 0.05.…”
Section: Interactions Of Aldicarb and Paraquatmentioning
confidence: 99%
“…Statistical analysis was conducted by ANOVA (P < 0.05) using MIXED procedures in SAS ® version 9.2 (SAS Institute, Inc., Cary, NC). Fixed effects were herbicide treatments (both experiments), mowing (experiment one), pre-herbicide application mowing interval (experiment two), and season of herbicide application (experiment one), while experimental run and replicate were considered random as described by Carmer et al (1989). Main effects and their interactions are presented accordingly, with precedent given to significant interactions of increasing magnitude (Steel et al 1997) and means were separated according to Fisher's protected LSD (P = 0.05).…”
Section: Methodsmentioning
confidence: 99%
“…Peanut row spacing and herbicide treatment were considered fixed effects. Considering year and replication an environmental or random effect permits inferences about treatments to be made over a range of environments (Carmer et al, 1989). Peanut row spacing was compared using preplanned orthogonal contrasts at the 0.05 level of probability.…”
Section: Methodsmentioning
confidence: 99%