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Related Concept Videos

Variability: Analysis01:11

Variability: Analysis

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...
Genetic Variation01:25

Genetic Variation

Genetic variation is the diversity in DNA sequences found among individuals of the same species. This diversity is crucial for a species' survival because it helps organisms adapt to environmental changes. Genetic variation begins with fertilization, where an egg and sperm cell merge. Each of these cells carries 23 chromosomes, up to 46 in the fertilized egg. Chromosomes are long DNA strands that contain genes, the basic units of heredity.
Genes exist in different versions called alleles, which...
Statistical Analysis: Overview01:11

Statistical Analysis: Overview

When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
Biostatistics: Overview01:20

Biostatistics: Overview

Biostatistics plays a crucial role in understanding and analyzing data in healthcare and biology. Biostatisticians conduct experiments, gather evidence, and draw meaningful conclusions using statistical methods and techniques. Different variables form the foundation of biostatistical analysis, allowing researchers to understand and interpret data effectively. These variables are classified into different types, each serving a specific purpose in statistical analysis.
Discrete variables are...
Variation01:19

Variation

An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
Probability in Statistics01:14

Probability in Statistics

Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...

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Updated: Jun 30, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

Probabilistic Joint and Individual Variation Explained (ProJIVE) for Data Integration.

Raphiel J Murden1, Ganzhong Tian1, Deqiang Qiu2

  • 1Department of Biostatistics and Bioinformatics, Rollins School of Public Health, Emory University, Atlanta, GA.

Journal of Computational and Graphical Statistics : a Joint Publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America
|June 29, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces ProJIVE, a new method for analyzing joint and individual variation across multiple datasets like genomics and neuroimaging. ProJIVE accurately identifies biological patterns in Alzheimer's disease, linking brain structure and cognitive data to existing biomarkers.

Keywords:
ADNIAlzheimer’s DiseaseJIVEMulti-block data analysisMultimodal data analysisProbabilistic PCA

Related Experiment Videos

Last Updated: Jun 30, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

Area of Science:

  • Multivariate data analysis
  • Bioinformatics
  • Neuroimaging analysis

Background:

  • Collecting diverse data (genomics, metabolomics, neuroimaging) from common subjects is prevalent in modern science.
  • Existing methods for analyzing joint variation across datasets may lack accuracy or comprehensive component isolation.

Purpose of the Study:

  • To develop a probabilistic model for the Joint and Individual Variation Explained (JIVE) framework using an expectation-maximization (EM) algorithm.
  • To enhance the accuracy of estimating joint and individual variation components simultaneously.
  • To apply the developed method, ProJIVE, to neuroimaging and cognitive data in Alzheimer's disease research.

Main Methods:

  • Developed an expectation-maximization (EM) algorithm to estimate a probabilistic JIVE model.
  • Extended probabilistic principal component analysis (PCA) to accommodate multiple datasets.
  • Employed a maximum likelihood approach for simultaneous estimation of joint and individual components.

Main Results:

  • The ProJIVE method successfully identified biologically meaningful sources of variation in Alzheimer's disease.
  • Joint morphometry and cognition scores derived from ProJIVE showed strong correlations with established, more costly biomarkers.
  • The probabilistic JIVE model demonstrated potential for greater accuracy in component estimation compared to existing techniques.

Conclusions:

  • ProJIVE offers a robust probabilistic framework for dissecting joint and individual variation in multi-modal datasets.
  • The method provides valuable insights into the interplay of brain morphometry and cognition in Alzheimer's disease.
  • ProJIVE's findings highlight its utility in biomarker discovery and understanding complex diseases.