
On this webpage you will find a number of methods we have investigated
over the years
in our laboratory. We have published papers on some of these methods and
others are available in the Idiogrid
software. Our most recent work challenges mainstream approaches to
psychometrics, research design, and statistical analysis. Most notably,
with Observation Oriented Modeling, we have devised techniques for
assessing psychological theories without making the untested assumption of
continuous quantitative structure of attributes such as intelligence,
traits, depression, anxiety, etc. Without this assumption most methods
employed by psychologists (e.g., ttests, ANOVA, Pearson's correlation,
regression, IRT, SEM, factor analysis, multilevel modeling) are simply
not legitimate. Our conclusion is thus that something of a drastic Gestalt shift is
currently needed in psychology. Also in line with
Paul Barrett's
recent work with a graphical profiler, we have been exploring singleitem
selfreport methods and finding them to be just as viable as multipleitem
questionnaires in the domain of personality trait assessment. A body of
evidence is growing that multipleitem questionnaires generate modest
understanding, and that modern psychometric theory (embodied in
Lord and Novick's classic text Statistical Theories of Mental Test
Scores, 1968) has run its course and may have reached the limits of its utility.
Select a method from the list:
Observation Oriented Modeling
Overview
OOM Website : Reports most recent
information regarding the book, free software, and publications.
Observation Oriented Modeling is a simple to use and easy to understand
alternative to the variablebased models and statistical analyses that have
stifled progress in psychology and the other social sciences for over 70 years.

Watch a 15 minute
video introducing the logic
behind OOM as well as the software.

Read
a recent article that demonstrates OOM : Grice, J. W., Barrett, P. T., Schlimgen,
L. A., & Abramson, C. I. (2012) Toward a Brighter Future
for Psychology as an Observation Oriented Science,
Behavioral Sciences, 2(1), 122.

Purchase the
book published by Elsevier (Academic Press): Grice, J. W.
(2011) Observation Oriented
Modeling: Analysis of Cause in the Behavioral Sciences. New York,
NY: Academic Press. (242 pages).
The book can be purchased
from
Elsevier or from
Amazon. Initial positive reviews of the book can also be found on both
sites.

Use the FREE software.
Most
analyses currently employed by social scientists can be replaced by those in the OOM
software. We have used the program in our univariate and multivariate courses at
Oklahoma State University to analyze numerous existing data sets. Genuine data
sets are also analyzed in the book and in a number of the instructional videos
accompanying the software.

Consider more
examples or presentations on the OOM website.

The following abstract from an invited address at the Southwestern
Psychological Association's annual meeting provides a general description of
this approach:
Recovering our Common Sense: Psychology as an Observation
Oriented Science (Delivered at SWPA, Dallas, TX, April, 2010)
Since the early 1900s psychological research has been
dominated by statistical methods that are overly abstract and often illsuited
for the types of questions most psychologists wish to ask. In this presentation
Observation Oriented Modeling will be introduced as a radical alternative to
these traditional methods of data analysis. Practically speaking, Observation
Oriented Modeling challenges researchers to develop integrated models that
explain patterns of observations rather than to estimate abstract population
parameters. The focus of research is thus shifted away from aggregate
statistics, such as means, variances, and correlations, and is instead directed
toward assessing the accuracy of judgments based on the observations in hand.
This shift brings the persons in a psychological study to the forefront of the
analysis and conclusions, while completely eschewing such confusing concepts as
Type I, Type II, Type III errors, statistical power, and the pvalue.
Philosophically, this new approach is more consistent with the common sense
realism of Aristotle and Thomas Aquinas than with the idealism of René
Descartes; and the end result is an approach to data conceptualization and
analysis that is demanding and rigorous, but also straightforward and intuitive.
Idiogrid
Software
We have used Idiogrid for a good number of our studies.
You can download a copy for free at the
www.idiogrid.com website. Idiogrid
is a contrived word composed of "Idio" from "idiographic" and "grid"
from "repertory grid." Idiogrid is not simply a program for
administering and scoring repertory grids. All sorts of selfreport
ratings can be gathered and analyzed with Idiogrid. Please visit the
website to learn more about Idiogrid.
Dynamic Analog
Scale (Single Item Assessment)
A growing number of studies are showing that single items
can be used to assess personality traits or other conscious judgments that
produce reliability and validity coefficients just as large in magnitude
as multipleitem questionnaires. Working with single items is much more
efficient and flexible than multipleitem questionnaires. Single items are
also conceptually clearer and immune to various pitfalls associated with
multiple items. Coupled with the issues of continuous quantitative
structure discussed above, the efficacy of single items draws into
question the hegemony of the traditional classical true score model.
We have published one paper demonstrating the Dynamic
Analog Scale (DAS), a flexible method for generating single item
assessments. We have a second paper under review, and the DAS was used in
Jim Anderson's thesis, which we hope to submit for publication soon. The
DAS can be accessed through the free
Idiogrid program.
Grice, J., Mignogna, M., & Badzinski, S. (2011).
The Dynamic Analog Scale: A generic
method for singleitem measurement. Personality and Individual
Differences, 50, 481485.
The published paper provides a list of references for
single item assessments.
You can
view a
short video here that demos the DAS.
Paul
Barrett's Graphical Profiler, which is more attractive than the DAS,
is another excellent example of single item assessments that can prove
highly effective. The Graphical Profiler also has a longer and richer
history of development and validation than the DAS.
Multivariate Analysis of Variance
(MANOVA)
MANOVA is the multivariate extension of univariate
analysis of variance (ANOVA). It is a close relative of discriminant
function analysis and profile analysis. The promise of such methods in personality psychology
was to be the identification of types or of group
differences in personality profiles. As a method based on aggregate
statistics and the assumption of continuous quantities for the dependent
variables, however, it appears this promise cannot be kept. Our (Grice and
Iwasaki, 2001) work with MANOVA is a perfect example, as we utilized the
most appropriate methods for conducting and interpreting the analysis
based on Richard Harris' work; yet it is unclear how our results apply on
an individual level to the persons in our study. We never attempted to demonstrate
that personality traits are structured as continuous quantities as well; we simply assumed this was the case in the analysis. Future work should
focus on methods that do not make this assumption and the host of other
assumptions made when using a sampling based model in which population
parameters are estimated. Observation Oriented Modeling is one possible
way forward.
The material below must therefore be taken with several
grains of salt unless the researcher is in the position of working with
continuously structured quantitative attributes (e.g., body weight, head
circumference, height, etc.).
Example individual profile on Personal Constructs:
Example group profiles on the Big Five:
We delivered a workshop on MANOVA at the 2005 meeting of the Southwestern
Psychological Association in Memphis Tennessee. The workshop was
published in the journal of
Applied Multivariate
Research as:
Grice, J. W., & Iwasaki, M. (2007).
A truly
multivariate approach to MANOVA. Applied Multivariate Research,
12, 199226.
The SPSS files
associated with this manuscript can be downloaded here:
Computing Factor Scores and Scale Scores
from MultipleItem Questionnaires
Imagine a male researcher who conducts an exploratory
common factor analysis. The researcher examines the scree plot, extracts
three factors and transforms them using varimax (orthogonal) rotation. He
successfully interprets (labels) the factors and then decides to compute
scale scores so he can correlate his factors with other variables for
which he has collected data. In order to construct the scale scores, which
are in fact simplified factor scores, he follows the advice of
numerous texts on factor analysis by examining the structure coefficients
(i.e., the bivariate correlations between the items and the factors).
Scores for those items that meet or exceed his "salience criterion" of .30
in absolute value are simply added together to form his factor scores.
Items with negative structure coefficients are first reflected before
being entered into the summation calculations, and if the items are on
different scales they are also converted to zscores prior to being
summed. The researcher's factor scores are thus simple sum scores computed
from the original or standardized item scores.
Such sum scores pervade much of modern psychology. Simply
consider your favorite scales and you will likely find they are comprised
of simple sum scores that have been derived from the results of factor
analyses or principal components analyses. Is this practice legitimate? In
our current view, the answer is a decided "probably not." At the heart of any
summation process is the legitimacy of assuming a quantitative structure
or process. Sadly, psychologists  including personality psychologists 
have failed to grapple with this issue sufficiently (see Barrett's "Shades
of Milgram and Meehl"). We recommend the
important work of Joel Michell for discussions of measurement in
psychology; particularly, Michell, J. (1999). Measurement in
psychology: Critical history of a methodological concept. Cambridge
University Press. Also, in the long run, psychologists should
employ
correspondence analysis or some derivation thereof because it does not
rely on the continuous quantitative assumption.
Even if the apparent difficulties regarding psychological
measurement are ignored, we also consider the standard practice of summing
salient items based on an examination of the structure or pattern (i.e.,
the regression weights for predicting the items from the factors)
coefficients as flawed. The goal in creating the sum scores is to obtain
rankings (or relative spacings) of the individuals in the analysis that
reflect individual differences on the newly constructed factors. The
rankings of the individuals should therefore be valid; that is, the
rankings obtained from the simple sum scores should match the rankings on
the factor composite itself. Unfortunately, when the simple summing
process uses items selected on the basis of the structure or pattern
coefficients, validity in this sense may be seriously compromised. For
example, a person can be ranked as moderately extraverted on a factor
labeled "extraversion/introversion" even though her true standing on the
factor indicates she is an introvert. Can the procedure be fixed? Yes,
if one switches attention to the factor score coefficients, which are
regression weights for predicting the factors from the items. The factor
score coefficients explicitly indicate how the items are weighted and
summed to create the factor. Any process of computing factor scores
should therefore be based on these coefficients, not the structure or
pattern coefficients. Since only under certain circumstances will the
relative magnitudes of the structure, pattern, and factor score
coefficients be equivalent, all three matrices may yield different sets of
salient items and therefore different sum scores. The sum scores based on
the factor score coefficients will provide the most valid representations
of the constructed factors.
A number of Monte Carlo studies conducted in our
lab support the superior performance of the factor score coefficients in
genuine data sets. A readable (we hope) paper on the topic resulting from
this work was recently published:
Grice, J. W. (2001).
Computing and evaluating factor scores.
Psychological Methods, 6, 430450.
We therefore recommend using the factor score coefficients
whenever factor scores  including simple sum scores  are computed.
Much more information can be found on a companion, and sadly dated, website devoted to
factor scores:
http://psychology.okstate.edu/faculty/jgrice/factorscores/
We will not be updating the factor score website because
we are moving away from using it in our research. It necessitates
continuous quantitative attributes, which psychologists do not in practice
measure, and it appears that single items can be used to obtain
observations for personality traits/constructs that provide just as much
predictive validity as factor analysisbased multiple item questionnaires.
Generalized Procrustes Analysis
From Grice, J. W., & Assad, K. K. (2009)
Generalized procrustes analysis: A tool
for exploring aggregates and persons. Applied Multivariate Research,
13, 93112.
Imagine a female student
who rates herself and nine other people whom she knows personally on 30
adjective trait terms (e.g., friendly, outgoing, agreeable) using a
5point Likerttype scale. A personality psychologist subsequently records
her responses in a 30 x 10 2dimensional matrix:
The psychologist next recruits more
people to participate in his study, obtaining 49 additional 30 x 10
matrices:
As shown the data can be represented
in a 3dimensional array comprised of trait terms, rated individuals, and
participants. The goal of the study may be to identify common patterns in
how the participants organize the 30 trait terms. How would the
psychologist analyze this wealth of information; namely, 15,000 data
points?
Now imagine a marketing researcher who asks a male participant
to describe his favorite breakfast cereals using his own terms (e.g.,
crunchy, sweet, grows stale quickly). The researcher then constructs
rating scales from the terms and asks the man to rate 10 popular breakfast
cereals and the ‘ideal breakfast cereal’ on his personal scales. The
researcher repeats this process with other participants, allowing each to
use his or her own set of adjectives to describe the cereals. Moreover,
the researcher does not require the participants to use the same number of
adjectives; hence some participants provide three or four adjectives while
others freely elicit twice as many terms to describe the cereals.
Thirtyfive people participate in the study, yielding data that may be
represented as follows:
Unlike the personality psychologist,
the market researcher is confronted with data that are matched on one
dimension (cereals) but not matched on the other (the personal descriptors
that differ across participants). Nonetheless, the goal of the researcher
is to determine which breakfast cereals are alike and most similar to the
ideal breakfast cereal. How is the researcher to reach this goal?
Gower’s (1975) approach to the type of data gathered by the
personality and market researchers above involved an inventive combination
of Procrustes rotation and Analysis of Variance (ANOVA), which he referred
to as Generalized Procrustes Analysis.
In this manuscript we demonstrate the usefulness of GPA
for examining not only the aggregate structure of responses to personality
data, but for examining the structure of individual responses as well. The
full impact of GPA, and related methods of analyzing 3dimensional data
arrays, has yet to be felt in field of personality research. A
completely worked GPA example,
using Idiogrid, can be downloaded and examined.
Now, in our lab, the question surrounding the usefulness
of GPA centers around the continuous quantity necessity of the attributes
under investigation. GPA is based on an ANOVA decomposition of the data
and it simply may not be legitimate for psychological attributes and the
data we obtain to represent those attributes. A nonparametric form of GPA
is needed.
Regarding the pvalue in Null
Hypothesis Significance Testing (NHST)
We can only say
what should now be obvious to any psychologist; namely, don't grow obsessive when it comes to
the pvalue. Strictly in the context of NHST with a statistical
model in which the assumptions have been met it could be regarded
as a useful statistic,
but its associated common cutpoints (.05 and .01) are nothing more than
social conventions that should not be treated as rigid gatekeepers to the
world of meaningful results. It should also now be well known that a small,
highly significant pvalue can almost always be bought with large sample
sizes, but clinical/practical/theoretical significance cannot be so easily
purchased. Of course the new battle on the horizon is the dismantling of
effect size conventions; e.g., is d = .80 really a large effect size? It seems
we have replaced one rote behavior and bad habit (".05 is a
sacred cutpoint that tells me my results are meaningful'') with a new one
("d = .20 = small effect; .50 = medium effect; .80 = large and really
important effect"). Combating such rote behaviors
is the goal behind Observation Oriented Modeling which attempts to shift
the focus to interpreting patterns of observations rather than chasing
abstract population parameters which almost never have an empirical basis in the NHST game. We agree with
Paul Meehl that NHST
is the top candidate as the worst thing to ever happen
to psychology.
Cohen's Proportions for Overlapping Normal
Distributions
In his popular book, Statistical Power Analysis for the
Behavioral Sciences (1988, 2nd Ed.), Jacob Cohen does not correctly
compute the percentage of overlap between two normal distributions when
showing the relationship between this percentage and d (the
standardized mean difference effect size)...
Read more in this brief note
(Adobe Acrobat, pdf, format) with Paul Barrett.
