The role of learning styles in student achievement in an MBA economics course.
Englander, Fred ; Terregrossa, Ralph A. ; Wang, Zhaobo 等
INTRODUCTION
This paper examines the effect of learning style preferences in
explaining variations in student achievement in an MBA class in
economics. To the extent that particular learning style preferences are
found to have a systematic influence on student achievement, then an
instructor is in a position to improve the learning performance of
his/her students by adapting the mix of teaching methods and strategies
that he/she employs in order to achieve a closer match between those
teaching methods and the learning style preferences of that
instructor's students. An OLS regression model is developed in this
paper to relate student performance in the three examinations of the
course (two mid-term exams and a non-cumulative, final exam) to the
students' pattern of learning style preferences as measured by
eighteen variables which measure learning style preferences according to
the Dunn and Dunn (Dunn, 2000) learning style model (DDLSM). Also
included in the OLS regression model are a series of dummy variables to
control for the gender of the student, which exam the observation
measures and from which of the two sections the observation is taken.
It should be noted that despite the many studies that have been
done of the DDLSM, this is the first effort known to the authors to
apply a regression model to the task of explaining variations in student
achievement in a graduate course. The DDLSM breaks down the eighteen
learning style preference variables into five categories, labeled as the
environmental, emotional, sociological, physiological and psychological
categories. The present paper also utilizes a restricted least squares
regression methodology in order to examine which of these categories of
learning style variables have a significant impact on student
achievement and ranks the categories by their order of importance in
explaining variations in student achievement.
LITERATURE REVIEW
Coffield, Moseley, Hall and Ecclestone (2004) analyze seventy-one
different learning style models--theoretical perspectives which explain
the methods, patterns, processes, personality traits or other individual
characteristics which influence how people learn. Coffield et al.
(2004), classify the DDLSM as one of the "major" learning
style models. This view is echoed by another critic of the DDLSM, Ivie
(2009), and more neutral analysts of learning style theory and practice
(e.g., Arthurs (2007) and Hawk & Shah (2007)).
While the research of some scholars has cast doubt on the value of
an emphasis on learning styles as a productive strategy to promote
learning (see, for example, Coffield, et al. (2004) and Pashler,
McDaniel, Rohrer and Bjork (2008)), the research of other scholars has
provided support for the basic hypothesis that attention to student
learning styles offers a productive path to enhanced teaching and
learning effectiveness (see, for example, Sternberg, Grigorenko and
Zhang (2008) and Naimie, Siraj, Piaw, Shagholi and Abuzaid, (2010)).
Moreover, the particular perspective on learning styles embodied by the
DDLSM has also been subject recently to contrary evidence regarding the
value and validity of that learning styles model. The research of Kavale
and LaFever (2007) and Ivie (2009) has been critical of many of the
claims of success made on behalf of the DDLSM, while the research of
Lovelace (2005) and Terregrossa, Englander and Wang (2010) has supported
the DDLSM's internal validity and pedagogical effectiveness. (It is
noted that the latter study analyzed the influence of learning style
preferences on the performance of undergraduate students and, unlike the
present analysis, also considered the relationship between learning
style preferences and student behavioral choices such as alcohol
consumption, internet use, employment hours, fitness activities and
course study hours.)
The central tenet of the DDLSM is that the best method of teaching
is the method that most closely matches the way the student learns. The
DDLSM is composed of a combination of environmental, emotional,
sociological, physiological and psychological categories. Each category
is composed of several elements. The Productivity Environmental
Preference Survey (PEPS) (Dunn, Dunn, & Price, 2006) was used to
identify students' preferences for each of the elements in the
environmental, emotional, sociological, physiological, and psychological
categories.
The environmental category includes preferences for sound, light,
temperature, and design, or formal versus informal seating. The
emotional category includes propensities for motivation, persistence,
conformity (responsibility), and structure. The sociological category
reflects whether a student prefers to learn with an authority figure
present and also reflects whether the student prefers working with other
students. This category also considers whether a student prefers to
learn in a routine manner or in a variety of ways. The physiological
category includes preferences for perceptual modality (auditory, visual,
tactile, and kinesthetic), intake (snacks or drinks), time of day
varying energy levels throughout the day, and mobility. The
psychological category refers to the way that a student absorbs and
processes new and difficult information. Within the psychological
category, students' learning styles are hypothesized to be
analytic, global, or indifferent. The analytical and global styles
correlate with preferences for sound, light, design, persistence and
intake (identified as the five discriminating elements--i.e., the
learning style preferences which are most relevant to categorizing a
student as being an analytic or global learner). It is noted that these
five discriminating elements are variables that are also components of
the other learning style categories.
METHODOLOGY
Sample and Data Collection
Data for the thirty-six students were drawn from two sections of
the same MBA course in economics (covering both microeconomic and
macroeconomic topics, roughly the same topic agenda as what is typically
covered in an undergraduate, two semester introductory sequence in the
standard business curriculum). These two sections were taught in the
Fall 2003 and Fall 2004 semesters, respectively. There are three exam
observations, stacked, provided for each of the thirty-six student
subjects, leading to a total of 108 observations. The dependent variable
of the OLS regression was the number of correct answers that each
student recorded in each of the three exams given over the course. The
multiple choice questions from each of the three exams for each section
course were identical and were selected by the instructor from the test
bank provided by the publisher of the textbook used for the course. Both
sections were taught by the same instructor utilizing the same syllabus.
The MBA program is given at a small to medium size campus at a
university in the northeast. The business program is accredited by the
AACSB.
The students in both sections were requested to complete a PEPS
survey in order to determine their learning style preferences. The PEPS
(Dunn, Dunn & Price, 2006) instrument, based upon the DDLSM, was
used to identify students' preferences for the eighteen elements
comprising the five categories of the learning style model. The PEPS,
designed to identify how college students and other adults learn and
perform in their academic and occupational pursuits, is a self-report
composed of 100 questions that can be completed in approximately twenty
minutes. Each question is designed to identify an individual's
preferences for eighteen separate elements which, in turn, are included
among the environmental, emotional, sociological, physiological, and
psychological categories. For example, to determine a preference
regarding sound, an environmental factor, students are asked to answer
whether they strongly disagree, disagree, are uncertain, agree, or
strongly agree to a series of statements, such as:
1. I can block out noise or sound when I work.
2. I prefer to work with music playing.
3. Noise or extraneous sound usually keeps me from concentrating.
4. I can block out most sound when I work.
In a similar manner, preferences regarding all environmental,
emotional, sociological, physiological, and psychological elements are
identified.
The OLS Regression Model
The OLS regression model explaining variations in student exam
performance for students taking the graduate economics class can be
stated as:
E[X.sub.ij] = [a.sub.0] + [18.summation over (b=1)] [a.sub.b]
LS[V.sub.bi] + [22.summation over (c=19)] [a.sub.c] [Dummy.sub.ci] +
[e.sub.ij] (1)
where i is the student index, i = 1 to 36 and j =1 to 3, referring
to the three tests. E[X.sub.ij] is the ith student's score on the
jth test. LS[V.sub.bi] is the bth learning style variable for ith
student. There are a total of four Dummy variables: Dummy19 is the
gender binary variable, set equal to 1 for males; [Dummy.sub.20] is the
first exam binary variable, set equal to 1 for the first exam;
[Dummy.sub.21] is the second exam binary variable set equal to 1 for the
second exam; [Dummy.sub.22] is the section binary variable, set equal to
1 for students taking the course in the Fall 2003 semester and set equal
to 0 for students taking the course in the Fall 2004 semester; and
[e.sub.ij] is a stochastic error term.
With regard to the model's control variables, a dummy variable
accounting for gender is included on the basis of the research of Kane
and Spizman (1999), Durden and Ellis (2003) and Krohn (2005) indicating
that males tend to perform better, ceteris paribus, in economics courses
than females. Dummy variables are also included to control for possible
differences in the difficulty level of the three exams. The final exam
is the reference exam. There is also a dummy variable included in the
model to account for possible differences in the semester in which the
course was taught. This latter dummy variable would be significant, for
example, if the admissions standards of the host university had changed
between the cohort taking the course in Fall 2003 versus the cohort
taking the class in Fall 2004. College instructors might also argue that
students in one class may do better than students in a comparable class,
even if the same quality of students in another class, because a better
rapport might develop between the instructor and the class in one
section than another. Also, between two classes of roughly equally able
students, a more productive student-to-student dynamic may develop over
the semester which may allow an instructor to facilitate more learning
in one class over the other.
The results of this regression model are presented in Table 1.
Focusing first on the learning style variables, it may be observed that
student exam performance has a statistically significant (at the 0.05
level) and positive relationship to the tactile, noise and persistence
learning style preferences. A negative and significant relationship is
seen between exam performance and the motivation learning style
preference variable. These results may be interpreted as an indication
that for the particular sample of thirty-six graduate students taking
the MBA economics class, learning the course material would be easier to
the extent that such material was presented in a manner that took
advantage of those students' preference for greater persistence in
the learning process and for a greater use of teaching methods which
took advantage of the students' preference for utilizing tactile
techniques in the processing of the concepts at hand. Likewise, the
results provide evidence that teaching approaches which avoided a
reliance on kinesthetic methods would likely be more productive.
With respect to the control variables, student exam performance was
found to be significantly and negatively related to the gender variable.
This indicates that, everything else being equal, female students
performed better in the MBA economics course than male students. This
result is contrary to the earlier research findings of Kane and Spizman
(1999), Durden and Ellis (2003) and Krohn and O'Connor (2005). The
coefficients for the test dummy1 ([Dummy.sub.20]) and test dummy 2
([Dummy.sub.21]) variables are positive, statistically significant in
the case of the test dummy1 variable. This suggests that the first exam
may have been less difficult than the reference exam, the final.
However, it is also possible that such a finding could be caused by
students generally tending to do less well during final exams. It may be
argued that students are under more pressure during final exams when
they are facing exams in all of their courses within a short (one week
in the case of the university whose students are being analyzed in this
study) time interval. This greater pressure on students could lead to
weaker performance on final exams, irrespective of the inherent
difficulty level of the final exam itself. The SectionDummy1 variable
was not found to be significantly related to student achievement.
The standardized (beta) coefficients in column (6) of Table 1 allow
an analysis to be made of the relative contribution of the explanatory
variables in explaining variations in student exam performance. These
results indicate that among the independent variables in Table 1 that
were found to be statistically significant, the variables which had the
greatest relative impact on student exam performance were, in descending
order, the preference for persistence, motivation, for tactile learning,
the male gender, the TestDummy1 variable and the preference for noise.
It should be noted that the adjusted R-squared for the overall
regression model was just over 0.30. That is, these explanatory
variables explain approximately thirty percent of the student variation
in exam performance for this MBA economics course. The value of the
F-Statistic for the overall equation, 3.11, is statistically
significant, evidence that the regression equation as a whole explains a
significant portion of the student to student variation in exam
performance.
Teaching Prescriptions Based on Regression Results
The statistically significant relationships between student
performance in the MBA economics course and several of the learning
style preference variables would offer an instructor opportunities to
tailor his/her teaching approaches in order to make the teaching styles
more congruent with the learning styles of the particular group of
students that the instructor is facing. For example, the significantly
negative coefficient associated with the learning style preference for
motivation indicates that the MBA students analyzed in this study are
not internally motivated to study the principles of economics. This lack
of internal motivation to learn the principles of economics may be
because the students are majoring in alternative fields of study in the
MBA program, for example, management, accounting, marketing and finance,
and may not appreciate the importance and relevance of the principles of
economics in their major field of study. Therefore, to enhance both the
instructor's teaching effectiveness and the students'
achievement, it is incumbent upon the instructor to exogenously motivate
students to learn the principles of economics. Consistent with the
DDLSM, the instructor may more effectively motivate students to learn by
appealing to their learning style strengths.
For the students in this sample, the instructor could appeal to the
students' positive preference for persistence. The instructor
should explain that to successfully complete the requirements in their
major field of study, the students need to understand the principles of
economics and demonstrate how economic concepts are relevant to their
area(s) of interest. For example, the instructor could demonstrate how
microeconomics provides the methodology necessary for identifying and
analyzing the costs and benefits associated with any business activity,
the first step in making informed business decisions. The instructor
could also emphasize the importance of utilizing macroeconomics to
analyze current conditions and form expectations of future market
conditions (domestic and global) to adequately prepare for and adapt to
the ever changing business environment. In this way, students realize
that to be successful in their respective fields of study, they must
understand the principles of economics. Such a strategy may help them to
be motivated to do well in the course.
The significantly positive coefficient associated with
students' preference for background noise indicates that student
achievement increases when background noise exists while students are
learning. An instructor wishing to adapt his/her teaching approach in
order to utilize this pattern of learning style preferences could survey
the students early in the semester to determine what type of acceptable
background noise the students actually prefer. For example, if the
students indicate a preference for background music while learning, then
the instructor could allow classical, rock and roll, soft rock, pop or
rap music to be played during class depending upon the tastes of the
students and the instructor. It may be difficult to get all students to
agree to a specific type of music, but the choice of music should be a
consensus choice. In other words, the choice of music cannot in any way
detract from the ability of any student's ability to learn.
The significantly positive coefficient of the tactual variable
indicates that student achievement in economics may be enhanced if
students are given the opportunity to manipulate learning resources,
e.g., to transfer what they are learning to another medium. One
potential teaching method that provides students the opportunity to
manipulate the learning resources is the team learning method. For
example, the team learning method could be used to teach students about
the economic causes and consequences of the Industrial Revolution.
First, divide the class into teams composed of an approximately equal
number of students and have the teams physically move their seats to
form circles. The instructor would explain that the task for each team
is to identify at least three main causes of the Industrial Revolution
as it occurred in England in the 1700's, identify any parallels to
the economy of the United States in the 21st Century and make
recommendations regarding the government's role in promoting
economic growth, stability and equity. Students are instructed to use
their textbooks, the internet or any other available or academically
appropriate source of pertinent information. Each group must record the
information to a sheet of paper, a text document or a Power Point
presentation. Then each group must present the information to the class,
either by a designated member of the team, or by some or all of the team
members. The instructor should roam the classroom to answer any
questions. The instructor would then divide the chalk board so that each
team could summarize its findings and recommendations. Finally, students
are instructed to grade each team's effort, but no team would be
allowed to grade their own work. Utilization of this suggested teaching
method provides students with the opportunity to manually manipulate
learning resources while learning more about an important historical and
contemporary economic issue.
Relating Student Achievement to Learning Style Categories
The restricted least squares regression method is employed to
determine which categories have the greatest impact on student
achievement. The hypothesis tested is whether or not a particular
category, when considered as a subset of the total learning style
elements, has a significant impact on student achievement. The specific
question addressed is whether it is important to focus on the
environmental, emotional, sociological, physiological, or psychological
categories and the relative attention to be given to each category. To
answer this question, we utilize the joint F-test for the restricted
least square regression method, an approach suggested by Pindyck and
Rubinfeld (1998). That is, the partial correlation coefficients in the
linear regression model reported in Table 1 provide evidence regarding
which learning style elements have a statistically significant effect on
student achievement. However, the partial correlation coefficients do
not indicate the statistical significance of the alternative categories,
or group of elements. The restricted least squares regression method is
used to determine which category, or subset of elements, has a
statistically significant effect on student achievement. Also, by
examining the F-statistics, such as those calculated through the use of
equation (2) (Pindyck & Rubinfeld, 1998, p. 130), associated with
each category and the p-value associated with those Fstatistics, it is
possible to measure the relative importance of the alternative learning
style categories.
[F.sub.q,N-k] = ([R.sup.2.sub.UR] - [r.sup.2.sub.R])/q/(1 -
[r.sup.2.sub.UR])/(N - k) (2)
where [R.sup.2.sub.UR] is the R-square estimated from equation (1);
q is the number of learning style variables in a particular category;
[R.sup.2.sub.R] is the R-square from the modified equation (10 without
those q learning style variables; N is the total number of observations
and k is the number of remaining independent variables including the
intercept.
There are two important reasons to examine the significance of the
alternative categories. First, this addresses the question of which
categories have a significant impact on student achievement. Obviously,
for a professor to incorporate the principles of learning style theory
into the teaching approach, he or she requires accurate information
regarding on which categories to focus. Second, this empirical
methodology allows for an objective evaluation of the efficacy of
implementing learning style principles in general, and the usefulness of
the Dunn and Dunn model (Dunn, 2000) in particular. That is, this
approach allows us to assess the significance of the emotional,
physiological and psychological categories that Hawk and Shaw (2007)
identify as unique to the Dunn and Dunn learning style model.
The results of the restricted least squares regression are
presented in Table 2. These results offer evidence that four of the five
learning style related categories, i.e., the environmental category, the
emotional category, the physiological category and the psychological
category, had a statistically significant impact on student exam
performance. Only the sociological learning style preference category
failed to demonstrate a significant relationship to the dependent
variable. It is also noted that a separate category established to
account for the collection of control variables (i.e., gender, the dummy
variables accounting for the different exams and the dummy variable
accounting for the two sections of the course) also was found to have a
significant relationship with student exam performance. Among the four
significant learning style preference categories, the F-statistics for
each category indicate the relative importance of each of the four
categories. These results, arrayed in descending order of magnitude,
indicate that greater emphasis that should be given to the psychological
category, the emotional category, the physiological category and the
environmental category. It should also be stressed that elements within
the aforementioned four learning style categories have been recognized
by Hawk and Shah (2007) as being unique to the DDLSM in their comparison
of the relative advantages and disadvantages of the major, competing
learning style models. That these categories are found to have the
greatest weight in explaining variations in student performance is, it
may be argued, strong evidence supporting the predictive validity of the
DDLSM.
SUMMARY AND CONCLUSIONS
This paper has analyzed the performance of thirty-six students
taking the first economics course in the MBA curriculum in terms of the
relationship between their performance and the learning style
preferences of those students. The learning style profile of these
students was measured with the PEPS learning style instrument (Dunn,
Dunn & Price, 2006) which was designed to be consistent with the
DDLSM. Among the eighteen different learning style variables that were
related to student performance in the three exams given in the graduate
economics course, performance was found to be significantly and directly
related to student preferences for persistence, noise and tactile modes
of learning. Student performance was also found to be inversely related
to the learning style preference for motivation. Among the control
variables also considered in this analysis, student performance was
directly and significantly related to the dummy variable representing
the first exam. This result suggests that the first exam may have been
relatively less difficult than the reference exam, the final. Student
performance was also negatively related to the gender variable,
suggesting that female students performed at a higher level than the
male students who were enrolled. This result is surprising in the light
of the earlier research that has been done explaining variations in
college economics courses. It is possible that part of this difference
may result from the fact that the earlier research in question examined
the influence of gender in student performance at the undergraduate
level.
This paper also used a restricted least squares regression method
to analyze the performance of these MBA economics students relative to
the categories of learning styles formulated by the DDLSM. That is, the
eighteen learning style preference variables have been aggregated into
five groupings of learning styles elements: environmental, emotional,
sociological, physiological and psychological. It was determined that
all of these categories had a significant relationship to student
performance except for the sociological category. A review of the
F-statistics and p-value associated with each of those F-statistics
allows a ranking to be made of the relative importance of those learning
style categories. In the case of the student subjects studied in the
present analysis, it was found that among the variables having a
significant link to student performance, the categories with the
greatest relative importance, in descending order, were psychological,
emotional, physiological and environmental. Learning style elements
within those four categories were identified as being unique to the
DDLSM, in the comparison of the relative strengths and weaknesses of
various high-profile learning style theories performed by Hawk and Shah
(2007). The present authors believe that the results of this paper,
whereby elements within those particular learning style categories that
have been identified as being distinctive to the DDLSM in the Hawk and
Shaw (2007) analysis of major learning style models are found to have a
significant and relatively strong link to student performance, offers
evidence supporting the predictive validity of the Dunn and Dunn
approach.
LIMITATIONS OF THIS STUDY
It is difficult to generalize these results to the overall group of
MBA students (or graduate students, more broadly) based on such a small
sample size. On the other hand, a key aspect of utilizing a learning
style model such as the DDLSM is the recognition that one should be wary
of trying to generalize the pattern of learning preferences observed
with one group of students to another group of students. The basic
approach that has been presented in this study is to diagnose the
learning style profile of a particular group, knowing that the pattern
is very likely to change from one group of students to another, and then
crafting teaching methods which are congruent with the particular group
at hand.
RECOMMENDATIONS FOR FUTURE RESEARCH
One useful extension of the present study would be to analyze the
learning style profile of graduate students with the use of the more
recently developed Building Excellence (BE) survey, rather than the PEPS
instrument utilized in this study. Recent research (Terregrossa,
Englander, Wang, & Wielkopolski, 2011) indicated that the BE, also
consistent with the DDLSM, may be a more effective instrument in
diagnosing learning style preferences and explaining variations in
student performance. Earlier regression-based learning style research
(e.g., Terregrossa, Englander, & Wang, 2010) has also demonstrated
that student performance may be influenced by the age of students, the
extent of their labor market efforts and measures of their academic
ability (such as grade point average or performance on standardized
tests). It would be useful to examine the extent to which such control
variables influence student performance among graduate students. The
impact of undergraduate major on performance would also be of interest.
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About the Authors:
Fred Englander is a Professor of Economics at Fairleigh Dickinson
University in Madison, New Jersey. He received his Ph.D. in economics
from Rutgers University. He has published articles in the Southern
Economics Journal, the Business Ethics Quarterly, Science and
Engineering Ethics and the Journal of Education for Business.
Ralph A. Terregrossa is an Associate Professor of Economics at St.
John's University in New York City. He holds a Ph.D. in economics
from Binghamton University. He has published articles in The Quarterly
Review of Economics and Finance, International Advances in Economic
Research and Educational Review.
Zhaobo Wang is an Associate Professor of Production and Operations
Management at Fairleigh Dickinson University, Madison, New Jersey. He
received a Ph.D. in operations research from Rutgers University. He has
published articles in the Journal of Educational and Behavioral
Statistics and the Journal for Economic Educators.
Fred Englander
Fairleigh Dickinson University
Ralph A. Terregrossa
St. John's University
Zhaobo Wang
Fairleigh Dickinson University
Table 1
Student Achievement OLS Regression Results
Parameter Estimates
(1) (2) (3) (4)
Variable Parameter Standard
Estimate Error t Value
Intercept -0.003 19.590 0
Tactile 0.348 0.088 3.94
Motivation -0.552 0.166 -3.32
Persistence 0.729 0.235 3.11
Dummy-Test! 2.917 0.972 3.00
Noise 0.281 0.119 2.37
Dummy-Gender -3.592 1.562 -2.3
Kinesthetic -0.256 0.155 -1.65
Dummy-Test2 1.528 0.972 1.57
Intake -0.085 0.068 -1.25
Temperature -0.100 0.081 -1.23
Several ways 0.080 0.080 1.00
Authority figure -0.109 0.110 -0.99
Design 0.094 0.102 0.92
Alone-peers 0.099 0.114 0.87
Dummy-Section1 0.890 1.236 0.72
Auditory 0.045 0.066 0.69
Responsible -0.057 0.090 -0.64
Light -0.050 0.111 -0.45
Mobility 0.023 0.083 0.28
Time-of-day -0.012 0.075 -0.15
Visual 0.012 0.083 0.14
Structure 0.003 0.070 0.04
R-squared = 0.4456 S.E.E. = 4.126 F-Value = 3.1 and P-value <.0001
Adj R-squared= 0.3022 Coefficient of Variation = 15.402
Parameter Estimates
(1) (5) (6) (7)
Variable Standardized Variance
Pr > |t| Estimate Inflation
Intercept 1.000 0 0
Tactile 0.000 0.525 2.723
Motivation 0.001 -0.549 4.180
Persistence 0.003 0.646 6.637
Dummy-Test! 0.004 0.280 1.333
Noise 0.020 0.247 1.670
Dummy-Gender 0.024 -0.360 3.764
Kinesthetic 0.103 -0.229 2.960
Dummy-Test2 0.120 0.147 1.333
Intake 0.216 -0.130 1.661
Temperature 0.221 -0.199 3.979
Several ways 0.319 0.119 2.157
Authority figure 0.324 -0.138 2.948
Design 0.359 0.144 3.725
Alone-peers 0.387 0.144 4.185
Dummy-Section1 0.473 0.088 2.302
Auditory 0.493 0.083 2.231
Responsible 0.525 -0.112 4.690
Light 0.651 -0.060 2.716
Mobility 0.784 0.031 1.933
Time-of-day 0.878 -0.021 2.739
Visual 0.888 0.017 2.311
Structure 0.971 0.004 2.038
R-squared = 0.4456 S.E.E. = 4.126 F-Value = 3.1 and P-value <.0001
Adj R-squared= 0.3022 Coefficient of Variation = 15.402
Table 2
Joint F-Test of the Alternative Learning Style Categories
Strand Dummies Environmental Emotional Sociological
Restriction 4 4 4 3
R Square 0.3344 0.3658 0.2907 0.4313
F -stats 4.262 3.059 5.937 0.726
p-value 0.0031 0.0199 0.0002 0.5389
Strand Physiological Psychological Whole
Restriction 7 5 23
R Square 0.3003 0.2564 0.4456
F -stats 3.182 5.802
p-value 0.0044 0.0001