Related Experiment Video
Updated: May 6, 2026

07:10
Untargeted Liquid Chromatography-Mass Spectrometry-Based Metabolomics Analysis of Wheat Grain
Published on: March 13, 2020
8.7K
The analysis of the NSW wheat variety database. I. Modelling trial error variance
B R Cullis1, F M Thomson, J A Fisher
1Agricultural Research Institute, 2650, Wagga Wagga, NSW, Australia.
Summary
Wheat variety trials in New South Wales (NSW) show significant differences in error variance. This impacts how variance components are estimated for improved wheat breeding.
Area of Science:
- Agricultural Science
- Genetics and Breeding
- Statistical Modeling
Background:
- Wheat variety testing is crucial for agricultural productivity.
- Accurate estimation of genetic and environmental influences is vital for effective breeding programs.
- Previous analyses may not have fully accounted for heterogeneity in trial data.
Purpose of the Study:
- To analyze a large database of wheat variety testing in New South Wales (NSW).
- To model and identify sources of error variance heterogeneity in trial data.
- To discuss the implications of this heterogeneity for estimating variance components in wheat breeding.
Main Methods:
- Retrospective analysis of a comprehensive wheat variety testing database.
- Statistical modeling to detect and quantify error variance heterogeneity.
- Identification of factors contributing to variance differences, including trial location, year, sowing date, and mean yield.
Main Results:
- Significant heterogeneity in error variance was detected across trial parameters.
- Trial location, year of trialling, sowing date, and trial mean yield were identified as significant sources of this heterogeneity.
- The findings highlight the need to account for these factors in statistical analyses.
Conclusions:
- Standard statistical models may underestimate or overestimate variance components without accounting for heterogeneity.
- Accurate estimation of variance components is essential for reliable wheat genetic gain.
- This study provides a foundation for more robust statistical approaches in agricultural data analysis.
Related Concept Videos
Testing a Claim about Standard Deviation
2.1K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.1K
Variability: Analysis
1.1K
Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
The range is a simple measure of variability, indicating the difference between the highest and...
The range is a simple measure of variability, indicating the difference between the highest and...
1.1K
One-Way ANOVA
11.7K
One-way ANOVA analyzes more than three samples categorized by one factor. For example, it can compare the average mileage of sports bikes. Here, the data is categorized by one factor - the company. However, one-way ANOVA cannot be used to simultaneously compare the sample mean of three or more samples categorized by two factors. An example of two factors would be sports bikes from different companies driven in different terrains, such as a desert or snowy landscape. Here, two-way ANOVA is used...
11.7K
One-Way ANOVA: Equal Sample Sizes
3.4K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
3.4K
Multiple Regression
3.4K
Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
3.4K
Wilcoxon Signed-Ranks Test for Median of Single Population
559
The Wilcoxon signed-rank test for the median of a single population is a nonparametric test used to evaluate whether the median of a population differs from a specified value. Unlike parametric tests, it does not require data to follow a normal distribution, making it suitable for non-normal or small samples. The test begins by calculating the difference (d) between each observation and the hypothesized median. The absolute values of these differences are ranked in ascending order, with ties...
559

