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The Center for Statistical Training

by Curran-Bauer Analytics

Statistical training in advanced quantitative methods for researchers in the social, health, and behavioral sciences.

Online Workshops

Accessible, effective, comprehensive training in statistics, data science, and research methods are just one click away.

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Free 3-Day SEM Workshop

Upcoming Livestream Workshops

Can't wait for the Livestream or missed a workshop? No problem. Register for any asynchronous workshop and get access to its replays and materials for 1 year after purchase, including FREE asynchronous access to Introduction to Structural Equation Modeling

Latent Class/Cluster Analysis and Mixture Modeling

May 23-27, 2022
Livestream & Replay Access
Instructors: Dan Bauer & Doug Steinley

Applied Measurement Modeling

May 23-27, 2022
Livestream & Replay Access
Instructors: Patrick Curran & Greg Hancock

Applied Qualitative Research

May 30-June 3, 2022
Livestream & Replay Access
Instructors: Greg Guest & Emily Namey

Introduction to Data Visualization in R

May 31-June 3, 2022
Livestream & Replay Access
Instructor: Michael Hallquist

Modern Missing Data Analysis

June 1-3, 2022
Livestream & Replay Access
Instructor: Craig Enders

Network Analysis

June 6-10, 2022
Livestream & Replay Access
Instructor: Doug Steinley

Multilevel Modeling

June 6-10, 2022
Livestream & Replay Access
Instructors: Dan Bauer & Patrick Curran

Analyzing Intensive Longitudinal Data

June 13-17, 2022
Livestream & Replay Access
Instructors: JP Laurenceau & Niall Bolger

Asynchronous Access to Prior Workshops

Did you miss a workshop or can't wait for the next Livestream? No problem. You can enroll in our recently conducted workshops to obtain asynchronous access. You will receive access to all workshop videos for 1 year from purchase, detailed lecture and software demonstration notes, and data and script files. All files other than videos can be downloaded and retained indefinitely.

Free Introduction to Structural Equation Modeling

Replay Access: 1 year
Recorded: May 11-13, 2022
Instructors: Dan Bauer & Patrick Curran

Causal Inference

Replay Access: 1 year
Recorded: December 15-17, 2021
Instructor: Doug Steinley

Network Analysis

Replay Access: 1 year
Recorded: May 17-21, 2021
Instructor: Doug Steinley

Multilevel Modeling

Replay Access: 1 year
Recorded: May 17-21, 2021
Instructors: Dan Bauer & Patrick Curran

Latent Class/Cluster Analysis and Mixture Modeling

Replay Access: 1 year
Recorded: May 24-28, 2021
Instructors: Dan Bauer & Doug Steinley

Applied Measurement Modeling

Replay Access: 1 year
Recorded: May 24-28, 2021
Instructors: Patrick Curran & Greg Hancock

Applied Research Design Using Mixed Methods

Replay Access: 1 year
Recorded: June 3-4, 2021
Instructor: Greg Guest

Longitudinal Structural Equation Modeling

Replay Access: 1 year
Recorded: May 16-20, 2022
Instructors: Dan Bauer & Patrick Curran

Applied Qualitative Research

Replay Access: 1 year
Recorded: June 14-18, 2021
Instructors: Greg Guest & Emily Namey

Introduction to Quantitative Meta-Analysis

Replay Access: 1 year
Recorded: June 15-18, 2021
Instructor: Tasha Beretvas

Analyzing Intensive Longitudinal Data

Replay Access: 1 year
Recorded: June 21-25, 2021
Instructors: Jean-Philippe Laurenceau & Niall Bolger

Machine Learning: Theory and Applications

Replay Access: 1 year
Recorded: May 16-20, 2022
Instructor: Doug Steinley

News & Updates

What’s the best way to determine the number of latent classes in a finite mixture analysis?

November 11, 2021
Finite mixture models, which include latent class analysis, latent profile analysis, and growth mixture models, have grown greatly in popularity over the past decade or so.  Most statistical models assume a unitary (or homogeneous) population wherein all observations are governed by the same basic process.  In contrast, finite mixture models aim to identify latent subgroups within the population, sometimes referred...
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My advisor told me to use principal components analysis to examine the structure of my items and compute scale scores, but I was taught not to use it because it is not a “true” factor analysis. Help!

October 12, 2021
Help, indeed. This issue has been a source of both confusion and contention for more than 75 years, and papers have been published on this topic as recently as just a few years ago. A thorough discussion of principal components analysis (PCA) and the closely related methods of exploratory factor analysis (EFA) would require pages of text and dozens of...
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Second Annual Winter Institute

September 21, 2021
This December and January we will again be conducting livestream classes on our most popular topics, including a new 3-day workshop on Causal Inference. All classes come with six months access to video recordings to catch up later when life interferes (because it usually does). We hope you'll consider joining us.  And don't forget that you can also obtain asynchronous access to any of our great workshops...
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I fit a multilevel model and got the warning message “G Matrix is Non-Positive Definite.” What does this mean and what should I do about it?

July 22, 2021
Anyone who uses multilevel models will eventually encounter the dreaded “G matrix is non-positive definite” message (or “Tau Matrix” or “Psi Matrix”, depending on the labeling used by your software). This anxiety-inducing warning is often a signal that something is wrong in your model that needs fixing. With an NPD G matrix, the obtained estimates usually reflect an “improper” solution...
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Introduction to Latent Curve Modeling at Society for Psychotherapy Research

June 23, 2021
On June 23, 2021, Patrick and Dan conducted a pre-conference workshop, Introduction to Latent Curve Modeling, at the 52nd Annual International Meeting of the Society for Psychotherapy Research. A copy of the notes for participants is available at https://centerstat.org/wp-content/uploads/2021/06/BauerCurran_handouts.pdf for those who may be interested.
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I’m reporting within- and between-group effects in from a multilevel model, and my reviewer says I need to address “sampling error” in the group means. What does this mean, and what can I do to address this?

March 30, 2021
This is a long-neglected topic, and one that is receiving increasing attention in the methodological literature. The problem that the reviewer is referring to is that the usual ways we obtain within- and between-group effects for lower-level predictors within the multilevel model (MLM) oftentimes generate biased estimates. The same issue arises with any form of clustering, such as when trying...
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My advisor told me I should group-mean center my predictors in my multilevel model because it might “make my effects significant” but this doesn’t seem right to me. What exactly is involved in centering predictors within the multilevel model?

March 16, 2021
This is an excellent question and the topic of centering is often a source of confusion when using multilevel models (MLMs) in practice. This confusion is in part due to the need to address a complexity that arises within the MLM but is not relevant within the traditional multiple regression model: when modeling the effect of a lower-level predictor on...
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A reviewer recently asked me to comment on the issue of equivalent models in my structural equation model. What is the difference between alternative models and equivalent models within an SEM?

March 2, 2021
Differentiating between alternative models and equivalent models has long been a point of confusion in many research applications. Although the challenge of equivalent models can arise within almost any analytic setting, this is particularly salient within the structural equation model (or SEM). It is helpful first distinguish between alternative and equivalent models. To begin, one of the greatest strengths of...
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New Just-in-Time Workshop for Self-Paced Learning on Structural Equation Modeling

November 13, 2020
In May of 2020, Dan Bauer and Patrick Curran offered a free three-day Livestream course titled Introduction to Structural Equation Modeling. There were 3,000 participants from 38 countries and six continents. Because many people were unable to register at the time, we are now offering the recordings and materials from this three-day class for just $49 (simply to cover infrastructure...
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New Class on Applied Research Design Using Mixed Methods

October 19, 2020
We've often been asked if we could offer a class on the foundations of research methods and design. We're thus excited to offer Applied Research Design Using Mixed Methods by Greg Guest, acclaimed research scientist and instructor (and proud Canadian). Below, Greg tells us about his background, his class, and what he hopes participants will gain from taking the workshop.
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