Related Experiment Video
Updated: Aug 10, 2026
14:57
Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
Published on: January 30, 2019
Construction of resolvable spatial row-column designs
E R Williams1, J A John, D Whitaker
1CSIRO Forestry and Forest Products, P.O. Box E4008, Kingston, ACT 2604, Australia. emlyn.williams@csiro.au
Biometrics
|March 18, 2006
Summary
Resolvable row-column designs enhance field trial precision. This study extends spatial block design principles using the two-dimensional linear variance (LV) model for more efficient experimental layouts.
Area of Science:
- Agricultural Science
- Experimental Design
- Statistical Modeling
Background:
- Resolvable row-column designs are crucial for controlling variation in field trials.
- Spatial models and incomplete blocking can further enhance experimental precision.
- Previous work by Martin et al. established principles for robust spatial block designs using the linear variance (LV) model.
Purpose of the Study:
- To define the two-dimensional linear variance (LV) model.
- To extend existing principles for constructing resolvable spatial row-column designs.
- To investigate efficient computer-aided construction of these designs.
Main Methods:
- Definition of the two-dimensional linear variance (LV) model.
- Adaptation of Martin et al.'s principles for spatial row-column designs.
- Exploration of computer algorithms for design construction.
Main Results:
- The study defines the two-dimensional LV model and its application to row-column designs.
- Extensions of general principles for constructing efficient resolvable spatial designs are presented.
- Comparisons are made with designs based on autoregressive variance structures.
Conclusions:
- The two-dimensional LV model provides a framework for advanced spatial experimental designs.
- The extended principles facilitate the construction of efficient and precise resolvable spatial row-column designs.
- Computer construction methods are vital for generating optimal designs in complex field trials.
Related Concept Videos
01:16Experimental Designs
An experimental design is a systematic process that allows researchers to evaluate the relationship between dependent and independent variables. There are three widely used types of experimental design - pre-experimental design, true experimental design, and quasi-experimental design. In pre-experimental design, the researcher compares the data before and after some interventions or treatments. The true-experimental design has more than one purposefully created group, a commonly measured...
01:21Design of Columns under an Eccentric Load
Designing columns to withstand eccentric loads is a critical aspect of structural engineering, ensuring structures can support off-center loads without failure. This design process must account for the additional normal stresses introduced by eccentric loading, which can significantly influence a column's stress distribution and overall stability. An eccentric load applied to a column induces normal stresses that can be conceptualized as a combination of stresses due to an equivalent centric...
01:17Design of Columns under a Centric Load
The design of columns under centric load is a fundamental aspect of structural engineering and is critical for ensuring the stability and integrity of structures. Euler's and Secant's formulas are central to understanding and calculating the critical load and deformation behaviors of columns, providing a basis for safe and effective structural design.
Euler's formula is applicable under the assumption that the column is a perfect, straight, homogenous prism, and it is operating within the...
Euler's formula is applicable under the assumption that the column is a perfect, straight, homogenous prism, and it is operating within the...
01:13Design Example: Dimensioning of Concrete Masonry Construction
For the construction of a storeroom using concrete masonry units, it's essential to align the dimensions of the structure with the actual sizes of the blocks and the intended mortar joints. On the site in question, there's a stockpile of concrete masonry blocks with a nominal size of eight by eight by sixteen inches, which are to be used in the construction of the storeroom.
The site engineer has laid out a plan for the storeroom with external dimensions of twelve feet in length and eight feet...
The site engineer has laid out a plan for the storeroom with external dimensions of twelve feet in length and eight feet...
01:15Bioequivalence Experimental Study Designs: Repeated Measures, Cross-Over, Carry-Over, and Latin Square Designs
Bioequivalence experimental study designs play a pivotal role in testing the effectiveness of various treatments. Key among these are the repeated measures, cross-over, carry-over, and Latin square designs. In the repeated measures design, each subject receives all treatments, allowing for temporal comparisons. This type of design is useful in reducing variability but requires careful planning to avoid bias.The cross-over design, an economical method, involves sequential administration of...
01:15Chromatographic Resolution
In chromatography, a solute moves through a chromatographic column and tends to spread, forming a Gaussian-shaped band. The longer the solute spends in the column, the broader the band becomes. The broadening can lead to overlaps within the column, affecting separation effectiveness.
The effectiveness of separation can be evaluated by determining the level of separation between two neighboring peaks in a chromatogram, which represents the individual components of a sample.
In chromatography,...
The effectiveness of separation can be evaluated by determining the level of separation between two neighboring peaks in a chromatogram, which represents the individual components of a sample.
In chromatography,...