8: Principle Components Analysis, Factor Analysis and Related
Components Analysis, Maximum Likelihood Factor
Analysis & scale reliability
Composite Scores (i.e., indicator variables) with factor
Scores (i.e., indicator variables) with principle component
the most appropriate number of factors to extract using VSS
rotations and what they do.
generation and simulation of various
Factor Analytic Models.
generation and fitting of
binary item factor models.
Bootstrapped Factor Analysis
Hierarchical Factor Analysis
Simple 2 & 3 variable Correspondence
9: Structural Equation Modeling (SEM) and Related
example run in R using SEMData.sav
(same as this:
Stage 1 and
intuitive way to do latent
variable modeling (CFA, SEM, & latent growth)
Dr. Rich Herrington's CFA & SEM in R simulation
which runs in your
bi-factor model in packages 'sem' & 'lavaan' using
bi-factor model tested with the Satorra-Bentler Difference
of Multi-group bi-factor model showing SB Difference Test
Measurement Invariance in CFA & SEM models.
Bootstrapped CFA using the 'lavaan' package and a home grown
SEM with one hierarchical latent factor
Partial Least Squares (PLS) modeling (including SEM/Path
data for the PLS script above.
& Mediation in
A more efficient and consistent way to do PLS Path Modeling.
10: Time Series and Related
example of how to get R to
recognize a column of dates.
Time Series analysis (using BP oil stock prices; circa Apr.
look at some
financial indices and how to access them.
export tables, graphs, and raw data to Excel
scrape data from a webpage.
Super Bowl 50 ticket
11: Bayesian Methods
Bayesian Books (Last updated: Sep. 12, 2011). Summary of each
Bayes: a very simple introduction to Bayesian
calculation and inference.
Factors for Bayesian versions of t-test & one way
Model Averaging to address the variable selection problem
example of Bayesian
Generalized Linear Modeling (e.g., regression)
Bayesian Factor Analysis with MCMC methods
Bayes Rule was used to find a missing H-bomb and nuclear sub.
Simulated Demographic variables:
ogive, binomial, logistic function
example of Geographical
of the Central
Limit Theorem with graphs
Two Envelopes Problem in R
German Tank Problem in R
and simulation of the Kruskal
Count card trick.
Sums-of-Squares be equal for two groups of different sizes?
A minor Monte Carlo -like Flea Circus.
reminder about the importance of graphing data:
Interesting Small Models with Graphs
Plots and Graphs (a limited and random collection of examples)
SpiroGraph and graduated color wheels. Other interesting
few examples of
"What do you mean by asymptotic?"
to simple GIF
creation in R using ImageMagick
at the (exact) same point twice!
Strange Attractors from the field of Chaos
variable selection using the
bootstrapped stepwise AIC (not model based)
your computer's power using a speed
Piano Composition using R.
The Standard Formula for average weight of "normal" humans.
The first 7 Magic Squares....
Blackjack game in R