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© Kamla-Raj 2016 Int J Edu Sci, 14(3): 294-303 (2016)
A Statistical Analysis of Students’ Attitudes Towards Statistics:
A Case Study of Undergraduate Bachelor of Science Students
at the University of Fort Hare
R.M. Mutambayi1
,A.S. Odeyemi1
, J.O. Ndege1
, Q.T. Mjoli 2
andY. Qin1
1
Department of Statistics, University of Fort Hare, private Bag X1314,
Alice 5700, South Africa
2
Department of Industrial Psychology, University of Fort Hare, private Bag X1314,
Alice 5700, South Africa
KEYWORDS Attitudes. Fright and Nervousness. Preferred Intellect and Education Styles. Statistics Course
ABSTRACT Students of science disciplines at Fort Hare University must take a course in statistics along with
other courses offered in their own disciplines. The goal of this study is to evaluate the general attitude of enrolled
science students towards statistics module at the beginning and at the conclusion of a statistics module. Thus, to
achieve the goals pursued through this study, a strategy of looking for set pre-test and post-test questionnaires was
used by investigators at the beginning and the conclusion of the module. Although the learners did demonstrate
moderate anxiety towards the course, anxiety anyway as compared to the beginning of the course increased by
twelve percent at the conclusion of the module. In addition, a significant negative swap in their attitudes regarding
the resolution of assignments in the groups was also noticed amongst the students at the end of the study. The use
of real examples and the characteristics of the instructor as a factor that can help change their attitude positively
towards statistics course have also been reported by students.
Address for correspondence:
R.M. Mutambayi
02 Pollock Street, Alice Town,
Eastern Cape, South Africa, 5700,
Telephone: +27 (0) 40 602 2460;
Cell: +27(0) 79 242 2277;
Fax: +27866253400,
E-mail: you2me4you@gmail.com or
mmutambayi@ufh.ac.za
INTRODUCTION
At this period of time, learners’ attitudes re-
garding statistics modules have sustained a
growing awareness about issues in the teaching
of statistics. In the investigation of statistics
module teaching, attitudes concerning statistics
are usually widely and openly explained as a
complex notion approaching unequivocal, nev-
er the less associated tempers pertaining to sym-
pathetic or unsympathetic replies with connec-
tion to statistics and statistical intellect (GarcĂ­a-
SantillĂĄn et al. 2014; Gaguk 2015; Chiesi and Pri-
mi 2009; Gal et al. 1997; Schau et al. 1995). The
eminence of attitudes in the surroundings of fun-
damental statistics modules is widely accepted
(Ramirez et al. 2012; Slootmaeckers et al. 2014;
Gal et al. 1997; Leong 2006). In the social and
behavioral sciences, students are generally in-
timidated by figures (Allen et al. 2016).As such,
taking a course in statistics remains a problem.
Coping with statistical concepts in order to ob-
tain the necessary knowledge of the course is
challenging (Haines 2015; Finney and Schraw
2003).
Such dissentient attitudes are most of the
time pondered as major barriers to fruitful intel-
lect (Kindratt et al. 2015; Waters et al. 1988). In
several university programs, students in the sci-
ence disciplines are often forced to take a sta-
tistics course because the course is considered
as a prerequisite for other courses in their disci-
plines. Despite the students experiencing many
difficulties, the course is deemed necessary to
help them acquire a better understanding and
improve their quantitative and qualitative re-
search abilities (Kiener et al. 2015). On the basis
of evidence of elements in effect on the attitude
of students towards the statistics course, the
authors noted, however, that there is a necessi-
ty of a systematic research to be carried out on
how best to offer the course to students. Unlike
the discipline of science, in other disciplines
such as the social sciences, among others, the
course of statistics is based on anecdotal re-
ports, but science students are facing the course
of statistics that is based on evidence and ap-
plication of concepts to real facts (Faraha-
ny 2016). In addition, investigations undertak-
A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 295
en in other academic fields may have a restricted
contribution to science teachers but the appli-
cations of these teachings can have a great and
important contribution to the discipline of sci-
ence. As a result science educators are saddled
with the responsibility of teaching these stu-
dents in the specific and related discipline of
science (Oztabak et al. 2015).
At the time the investigators were commis-
sioned to conceive and teach a science under-
graduate statistics module, they were hit by the
deficiency of documented investigation focus-
ing on implementation and lecturing, since the
investigators were apprised of the attitude of
fear, nervousness and ambivalence that charac-
terize numerous undergraduate students in gen-
eral and those in the science disciplines in par-
ticular when enrolling for a statistics module
(Chamberlain et al. 2015). The authors took the
initiative to deliver a systematic investigation
based on the best possible way of teaching sta-
tistics courses to bachelor’s degree students of
science. This article describes and interprets the
results and proposes some suggestions for the
study.
METHODOLOGY
Area and Specimen
The survey was coordinated at Fort Hare
University located in the Eastern Cape Province
in SouthAfrica. The principal investigators teach,
among other courses, applied statistics to Bach-
elor of Science degree students at the first year
level. The survey questionnaires were adminis-
tered to these students in the same year they
gained admission into the institution. Two as-
sessments were recorded. One, students were
assessed at the beginning of the course before
going through statistics classes, and two, they
were also assessed after the completion of the
course. In all, 126 students took part in the sur-
vey. By the end of the survey, 109 students had
fulfilled the pair of the inceptive and termination
of module questionnaire items assessments. As
presented in Table 1, of the 109 students who
completed the surveys, 50.5 percent of respon-
dents were male, all enrolled for a course in ap-
plied statistics, and 80.7 percent of participants
were between 18 and 21 years old (inclusive),
with a range of 18 to 41 years and above.Acom-
prehensive percentage (30.2 percent) of the stu-
dents stated that they are not comfortable with
mathematical word problems.
Ethical Mindfulness
Ethical consent was acquired from the Uni-
versity of Fort Hare’s ethical committee prior to
the beginning of the survey. The survey ques-
tionnaires were issued to students enrolled for
STATISTICS 111 for the 2015 academic year in
an agreeable sample. The aims of the study were
enumerated to the students before their partici-
pation in the study. Completed questionnaires
were kept with high anonymity to protect re-
spondents’ identities.
TheApplied Statistics Module
The module being assessed was Introduc-
tion to Applied Statistics, STA 111, which is a
first-year course, developed by the department
of statistics, University of Fort Hare (UFH),Al-
ice campus. This is a compulsory course for all
Bachelor of Science students irrespective of the
degree program to which the students are ad-
mitted. In this course, students are taught basic
computer skills and some elementary statistical
analysis techniques. The main basis of STA111
is to empower these learners with fundamental
statistical comprehension that will enhance their
skill in conducting basic statistical analysis for
their research projects in their final year of study
at the institution, aside from future applications.
The module also covered basic statistical con-
Table 1: Biographical information in percentages
n % Cum. %
Gender
Male 55 50.5 50.5
Female 54 49.5 100.00
Total 109 100.00
Age
18-21 88 80.7 80.7
22-30 17 15.6 96.3
31-40 3 2.8 99.1
>41 1 0.9 100.00
Total 109 100.00
Program of Study
Plain Bachelor of 7 6.4 6.4
Science
Soil Science 17 15.6 22
Bachelor of Science 85 78.0 100.00
in Agriculture
Total 109 100.00
Source: From the data
296 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL.
cepts and descriptive statistical estimates such
as graphical meaning of data, inferential statis-
tics that includes t-tests, Chi-square test, one-
way analysis of variance, linear regression, and
diverse nonparametric tests. Moreover, a good
knowledge of the course also aids students in
their interpretation of statistical outputs.
SurveyDevelopment
EarlierworksbyReeinna(2014)andStanisav-
ljevic et al. (2014) investigated the attitudes of
the students towards studying statistics. How-
ever, these works were limited in their applica-
tions to the university undergraduate students.
Moreover, learners’attitudes to desired intellec-
tual and educating styles when enrolling for
modules in statistics were not probed by these
authors. In an effort to address these uncov-
ered grounds, a 28-item survey that incorporat-
ed declarations concerning three main areas was
distributed. The areas covered are overall atti-
tudes regarding the study of statistics, desired
studying styles in statistics modules, and de-
sired lecturing styles in statistics modules. More-
over, few questions were queried about elemen-
tary demographic characteristics such as age,
program of the study, and the gender of the re-
spondents. The 28-item survey questionnaire is
structured such that each student would indi-
cate the range to which learners agreed with each
declaration using a five-point Likert scale that
ranged from “strongly disagree” (rating of 1) to
“strongly agree” (rating of 5). The primary set of
queries on overall attitudes to statistics mod-
ules included 10 queries related to learners’ over-
all attitudes towards enrolling for a statistics
module and computer utilization. The categoriza-
tion used in this study was based on Schau et al.
(1995) titled “The Development andValidation of
the Survey of Attitudes toward Statistics”. The
10 questions considered by the authors were
grouped into three components (Table 2): self-
reliance about enrolling for statistics, fright and
nervousness about enrolling for statistics and
students’ serenity with computer utilization.
The second set of queries, which is on learn-
ers’ favorites related to their intellectual styles
when enrolling for statistics module, included
seven queries about different items they be-
lieved would be relevant to them; all the queries
were summarized into three distinct components
(Table 3): identically loaded home works (in des-
ignation of scores), a liking of working together
Table 3: Different factors of preferred intellectual styles
Preferred intellect styles
Component 1 Component 2 Component 3
Equally Loaded Home Works Preference Team Effort Preference for Real Practical Problems
I desire faintly loaded home works I master best when I study I am an optically trainee
as a group
Weekly quizzes facilitate my intellect Group tasks are non-objective Real life illustrations help me understand
a concept
Practice helps me perceive concepts
Table 2: Different factors of overall attitudes towards statistics
Overall attitude to statistics
Component 1 Component 2 Component 3
Self-reliance Fright and Nervousness Computer Comfort
I am serene in my prowess When thinking about statistics, I am pleasant using a computer for
to do ably in statistics I feel scared more than elementary occupations
I feel comfortable using numbers I am troubled that I will not I like grasping up to date computer
comprehend statistical concepts programs
Mathematical word queries I am anxious that I will need supple-
are effortless to me mentary assistance to perform
well in a statistics course
This will doubtless be the most
strenuous module I have ever taken
I am worried about not being clever
enough in the statistics class
A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 297
in different groups, and a liking of practical ex-
amples related to real problems.
The third set of queries was associated with
the learners’ desires as they concern the inves-
tigator’s lecturing styles during statistics class-
es. These incorporated eleven questions which
were later summarized into three non-identical
components (Table 4): a feeling of the educator’s
scheduling and all-inclusive success, the educa-
tor’s comfort and precision, and the educator’s
aptness to utilize captivating visual supports and
tangible illustrations from the sciences.
For both pre- and post-test grades from the
three groups comprising 28 queries, a satisfac-
tory internal consistency and reliability (Cron-
bach’s alpha coefficient of 0.87) was obtained
from the analysis.
DataCollectionMethod
Survey questionnaires were issued to sci-
ence students who enrolled for a statistics course
at the beginning of the semester, prior to attend-
ing their first lecture in their statistics course.
They were done in such a way that the involve-
ment in the investigation was non-compulsory
and no student’s identification information was
indicated on the answered questionnaires. Stu-
dents were told that following the first survey, a
second investigation questionnaire would be
issued to them at the conclusion of the semes-
ter’s statistics course. From 126 Bachelor of Sci-
ence students entitled to fulfill the survey, 109
(86.5%) fulfilled the survey questionnaires be-
fore the statistics module, and 111 (88%) replied
to the survey by the conclusion of the statistics
module. To have a balanced design, statistical
analysis was performed on 109 completed ques-
tionnaires from pre and post-test surveys. More-
over, these 109 pairs of survey questionnaires
(pre-and post-test) were assumed to be stand-
ing for effective combinations of similar catego-
ries of learners.
Data Capturing andAnalysis
Data was coded and captured, both descrip-
tive and inferential statistical analyses were used
in this study. Elementary descriptive statistics
for each statement were calculated, and the av-
erage grade for each survey statements was an-
alyzed for possible variations in learners’ replies
between the beginning and the end of the mod-
ule, using match t-test. When analyzing the data,
a significance level of five percent was set as a
thresh holder just to verify the statistical signifi-
cance of the results and the Statistical Package for
SocialSciences(SPSSversion22)wasutilized.
RESULTS
In this section findings based on Descrip-
tive and Inferential statistics will be presented.
Descriptive Statistics (Beginning of the
Module)
The descriptive statistics for science learn-
ers’ replies prior to starting a statistics module
(pre-assessment) are displayed in Tables 5, 6
and 7, and what is purely an inclusive synopsis
and certain high points are delineated in this
write-up. All grades designate prospective re-
plies between 1.0 and 5.0, with grades approach-
Table 4: Different factors on preferred teaching styles
Preferred teaching styles
Component 1 Component 2 Component 3
Planning and effectiveness Comfort and precision Tangible and visual
Effectiveness usage of office Tolerance Providing tangible illustrations
working hours
Prompt riposte to email messages Comprehensive explanations Displaying lecture notes or power point-
format slides show
Assigning punctual reply Hospitability
Thoroughly comprehension of
statistics
Utilizing ocular aids of things to
elucidate concepts
Appropriate pace (not too quick,
not too steady)
298 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL.
ing 5.0 revealing stronger accordance with the
survey statement.
OverallAttitudes Related to Statistics
Learners’ general attitude regarding statis-
tics at the beginning of the module (Table 5) can
be condensed as reasonably self-reliant (Mean
score of 3.3), somewhat by 6.6 percent as com-
pared to the beginning of the course). From the
results displayed in Table 5, students fear sta-
tistics significantly (mean score of 3.32) and the
fear has increased by 8.1 percent as compared
to the level where it was before the test. Stu-
dents already have a feeling or belief that statis-
tics will be the most arduous module they en-
countered (mean score of 2.95) and the feeling
has increased by 17.5 percent after writing the
test and students are distressed about not hav-
ing done well enough in the statistics module
(mean score of 3.11) and the concern has in-
creased by 12.7 percent as compared to the be-
ginning of the course. All of these factors can
lead to a student developing negative attitudes
towards statistics, as this can be seen through
students losing confidence in their ability to do
well in a statistics course (mean score of 3.73,
dropping by 7.4 percent as compared to the av-
erage score at the beginning of the course).
Preferred Intellect Styles
From the output as displayed in Table 6, stu-
dents seem to have strong views about what
they perceived would assist them do better in a
statistics course prior to the beginning of the
module. From the result, students prefer indi-
vidual assignments rather than group assign-
ments which make some to simply rely on the
solutions provided by their peers (mean score
2.75, increasing by 23.3% as compared to the
beginning of the course), and it has been no-
ticed that students preferred real life examples
of statistical concepts, which help them better
understand the course (mean score of 4.11). But
the rest of the factors considered in Table 6 were
not significantly affected, meaning the attitude
of the students towards statistics was the same
on the pre- and post-test survey.
Preferred Teaching Styles
Students appeared not to have a preferred
teaching styles as shown in Table 7. When it
Table 5: Averages (M), standard deviations (SD) grades and match sample t-test grades of the ‘attitude
related to statistics’ grade for pre- and post-test reply
Items Pre-test Post-test Match Remark on
sample amelioration
M SD M SD t-test % growth/
statistic drop
Attitude Related to Statistics
Component 1 (Self-reliance)
I am positive in my ability to perform well 4.03 0.68 3.73 0.93 3.31*
-7.00
in a statistics course
I feel confident using figures 3.83 0.80 3.79 0.96 0.53 -1.00
Mathematical related word problems are 2.81 0.93 2.61 0.99 1.67 -7.20
easy for me
Component 2 (Fright and Nervousness)
When I think about statistics I feel worried 3.07 1.29 3.32 1.23 -2.08*
+8.10
I am concerned that I will not master the
concepts of statistics course 2.15 1.20 2.60 1.24 -1.73 +20.9
I am anxious that I will need supplementary
help to do well in a statistics course 3.94 1.06 4.10 0.83 -1.63 +4.06
This will certainly be the most arduous module
I have ever grasped 2.51 1.31 2.95 1.25 -3.68***
+17.5
I am distressed about not being clever enough in
the statistics module 2.76 1.20 3.11 1.16 -2.64**
+12.7
Component 3 (Computer Comfort)
I am serene using a computer for more than
elementary activities 4.01 1.04 3.91 0.87 0.98 -2.50
I like intellect new computer programs 3.80 1.19 3.55 1.16 2.01*
-6.60
Key: *
= p<0.05 **
= p<0.01 ***
= p<0.001
Source: From the data
A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 299
comes to rather preferred teaching styles, stu-
dents seem to have appreciated the styles used
when they were being taught on pre- and post-
test surveys.
It appears that the attitude of Bachelor of
Science students at Fort Hare University is not
negatively affected by teaching style.
Inferential Statistics (At the Beginning and the
Conclusion of the Module)
The extent to which learners’ attitudes and
preferences regarding statistics module, intel-
lectual styles and lecturing styles altered be-
tween the beginning and the end of the module
is unveiled in Tables 5, 6 and 7, and an all-inclu-
sive synopsis and certain focal points are writ-
ten up here in the narrative.
Overall Attitudes Regarding Statistics
While the pre-test investigation demonstrat-
ed that learners exclusively revealed tolerable
degrees of fright and nervousness towards en-
rolling for a statistics module, this was more-
Table 6: Averages (M), standard deviations (SD), match sample t-test scores of the ‘preferred intellect
styles’ grade for pre- and post-test reply
Items Pre-test Post-test Match Remark on
sample amelioration
M SD M SD t-test % growth/
statistic drop
Preferred Intellect Styles
Component 1 (Identically Loaded Home Works)
I prefer moderately loaded home works 3.77 1.07 3.60 1.13 1.23 -4.50
Weekly quizzes facilitate my intellect 3.77 1.24 3.79 1.01 0.07 +0.50
Component 2 (Preference for Team Work)
I learn best when I study with others as a team 4.13 1.22 3.92 1.18 1.92 -5.10
Group assignments are unfair 2.23 1.35 2.75 1.35 -3.82***
+23.3
Component 3 (Preference for Visual Intellect)
I am visual student 3.58 1.09 3.78 0.88 -1.39 +5.60
Concrete illustrations assist me perceive concepts 4.34 0.76 4.11 0.85 2.06*
-5.30
Practical intellect assists me apprehend ideas 4.06 0.98 4.13 0.90 -0.62 +1.7
Key: *
= p<0.05 **
= p<0.01 ***
= p<0.001
Source: From the data
Table 7: Averages (M), standard deviations (SD), and match sample t-test scores of ‘preferred educating
styles’ grade for pre- and post-test reply
Items Pre-test Post-test Match Remark on
sample amelioration
M SD M SD t-test % growth/
statistic drop
Preferred Education Styles
Component 1 (Planning and Success)
Success use of office hours 3.77 0.99 3.85 0.82 -0.68 +2.10
Well timed response to email 3.50 0.89 3.36 0.93 1.30 -4.00
Providing well timed response 3.75 0.95 3.78 0.73 -0.11 -0.80
Thoroughly understanding of statistics concepts 3.50 0.83 3.48 0.88 0.44 -0.60
Using visual supports of things to elucidate concepts 3.43 0.91 3.49 0.78 -0.50 +1.70
Appropriate pace (not too speedy, not too steady) 3.78 1.01 3.74 0.98 0.67 -1.10
Component 2 (Warmth and Clarity)
Patience 4.20 0.80 4.06 0.82 1.38 -3.30
Clear explanations 4.38 0.67 4.30 0.79 1.03 -1.80
Approachability 4.17 0.90 4.18 0.83 0.00 +0.20
Component 3 (Actual and Perceptible)
Delivering ‘real life’ illustration 4.07 0.87 4.10 0.90 -0.19 +0.70
Displaying notes or PowerPoint slides display 3.49 1.20 3.49 1.08 0.07 0.00
Key: *
= p<0.05 **
= p<0.01 ***
= p<0.001
Source: From the data
300 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL.
over the one domain that showed the most con-
siderable variations between pre-test (before
module) and post-test (after module), as ob-
served in Table 5. In illustration of this, consider
the fact that learners’ agreement with the decla-
ration that ‘students are confident in their abili-
ty to do well in a statistics module’ fell 7.4 per-
cent by the conclusion of the module (t [108] =
3.31, p = 0.01 < 0.05), and their agreement with
the declaration that ‘I like intellect new comput-
er programs’ fell 6.6 percent by the conclusion
of the module (t [108] = 2.01, p = 0.047 < 0.05).
Students’ average agreement grade with the dec-
laration ‘when I think about statistics I feel wor-
ried’ was 3.32 by the conclusion of the module,
indicating an increase of 8.1 percent (t [108] = -
2.08, p = 0.040 <0.05) from the beginning of the
module. Regrettably, at the conclusion of the
module, there was only a slight and non-statisti-
cally significant growth of 4.06 percent in stu-
dents’ sympathy with the declaration ‘I am anx-
ious that I will need supplementary help to do
wellinastatisticsmodule’(t[108]=-1.63,p>0.05)
compared to the beginning of the module.
Preferred Intellectual Styles
Whilst the swaps in this domain were not as
stimulating as the swaps in fright and nervous-
ness grades, the science students still revealed
some crucial moves in preferences about intel-
lectual styles between the beginning and the
conclusion of the module (Table 6). Notably,
science students appear to have undergone a
bad record with the team-based intellectual per-
spective apprehended in the module, as corrob-
orated by a 23.3 percent increase in accordance
with the declaration ‘group assignments are
unfair’(t[108]=-3.82,p<0.05);inaddition,about
twenty-eight percent of students who sympa-
thized with the declaration ‘group assignments
are unfair’ failed at the conclusion of the mod-
ule. Surprisingly, eighty-two percent of students
who agreed to the declaration ‘real life illustra-
tions assist me understand’ (t [108] = 2.06, p <
0.05) passed at the conclusion of the module.
Preferred Educating Styles
As can be seen in Table 7, in general prefer-
ences for educating styles did not change the
attitudes of all students by the conclusion of
the module. Whilst all attitudes remained un-
changed, the instructor educating styles that
appeared critical to them at the beginning of the
module had dropped slightly in influence by the
conclusion of the module although not signifi-
cantly. For example, “clear explanations” had
declined in significance by 1.8 percent, but this
decline is not statistically significant (t [108] =
1.03, p > 0.05).
DISCUSSION
The purpose of this investigation was to
analyze Bachelor of Science students’ overall
attitude regarding statistics modules before and
after taking a module in applied statistics.
From the aspect of descriptive statistics, the
authors found that students reported a moder-
ate general attitude towards statistics, with re-
sults confirming the findings of van der Weath-
uizen (2015). Students also reported a signifi-
cant fear of statistics as reported by the find-
ings of Förster and Maur (2015).
In general, students appreciated the gener-
ally preferred intellectual styles, except that stu-
dents did not prefer the group assignment meth-
od, which can help develop an attitude towards
statistics as confirmed by Donohue and Rich-
ards (2009), and moreover students preferred the
real life examples to help them understand a giv-
en statistical concept as found by a research
done by GarcĂ­a-SantillĂĄn et al. (2014).
Preferred Teaching Style Used by theAuthors
was Satisfactory forall the Students Before and
After the Test
As far as the inferential statistics is con-
cerned, the authors found that the students’
persuasions and preferences regarding statis-
tics, intellectual techniques and educating tech-
niques have altered between the beginning and
the conclusion of the module.
However, students reported a lack of confi-
dence in statistics as confirmed in a research
done by Sulieman (2015); it was also found by
the research done by Slootmaeckers et al. (2014)
which was confirmed by Hagen et al. (2013),
Williams (2014), Förster and Maur (2015) that
students were feeling even more scared of the
course as compared to the initial level of fear as
it was found.
Students also reported saying that statistics
is the most difficult course and that conception
A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 301
went a bit higher as compared to the initial level
as confirmed by a study done by Hannigan et al.
(2014) and Jatnika (2015). Students reported that
the fact of considering themselves as not being
intelligent enough helps to build up an attitude
towards statistics as confirmed by a study done
by Kristi (2013) at Clayton State University and
a paper published by Ngirande and Mutodi
(2014). Students reported that group assign-
ments are unfair, as they do not help to focus
and solve the problems individually; this been
confirmed by Ladley et al. (2015).
Lastly, students reveal that real life examples
help understand statistics concepts, results that
are confirmed by Mvududu and Kanyongo
(2011) and David et al. (2013).
CONCLUSION
Several results have come out of both the
pre-module and the post-module investigations.
Mainly, considering that both the authors’
awareness and anecdotal report indicated that
learners’ degrees of fright and nervousness
about enrolling for a statistics module can be
relatively excessive, the authors were shocked
to discover that students originally delineated a
poor grade of fright and nervousness (an aver-
age grade of 2.89, which is below 3.0 on a scale
of 1 to 5). The reason for this could be that the
students who enrolled for the module had
learned from preceding students (who had for-
merly enrolled for the statistics module) and de-
clared that the module was indeed not horrifying
and was conceived in a way to maximize learners’
expectation of passing, the extra evening classes
and intensive tutorial sessions (organized by the
authors in previous years) have also played an
urgent role because they helped expose students
to statistical concepts and afforded them oppor-
tunities to solve past questions.
Although students outlined poor degrees of
fright and nervousness prior to the module, sur-
prisingly the authors discovered that students’
degrees of fright and nervousness about statis-
tics increased roughly by an average grade of
11 percent (founded on the five queries that rat-
ed the component of fright and nervousness
about statistics module) by the conclusion of
the module to an expected grade of 3.21 on a
scale of 1 to 5.
RECOMMENDATIONS
However, it is hard to deduce the exact iso-
lated aspects of the manner we admitted that
pedagogy of our statistics module might possi-
bly be adding values to the fall-down in learn-
ers’ degree of fright and nervousness. The re-
searcher believes that they have the obligation
of inserting many propositions and new ideas
into the criticism of the science statistics mod-
ules’ anecdotal literature on statistical pedago-
gy at the University of Fort Hare. That is, the
researchers believe that their combination of
using group assignment and non-real life exam-
ples may not have contributed to the fundamen-
tal decrease in students’ fright and nervousness,
hence the authors have to revise and adapt the
conception and delivery of the course to ad-
dress the major findings from this study. The
introduction of real-life based examples and in-
dividual assignments, among others, could help
improve students’ attitudes towards statistics.
Moreover, from the study, it can be seen that
a number of implications have arisen; further in
this domain, related investigation is required.
Pending the time additional investigations are
carried out on the pedagogy and philosophy of
lecturing statistics to Bachelor of Science learn-
ers, science educators face the danger of main-
taining teaching confirmation grounded science
application without confirmed ground of proof.
Consequently, the researchers hope that the find-
ings of this investigation will start to assist in
filling in the cavity of proof and motivating more
science instructors and assessors to undertake
and produce their own supplementary findings.
Moreover, it has been noticed that students
look to desire and perceive some intellect and
educating techniques, uncommonly the one that
incorporates visual supports, real life illustra-
tions- and educators who are friendly. Further-
more, the research proposes that while students
can begin statistics modules with distinct de-
grees of fright and nervousness, effective use
of their preferred intellectual and educating
styles can seriously minimize the student’s fright
and nervousness.
LIMITATIONS
This investigation has a number of possible
limitations which are important to emphasize. The
investigation used a relatively restricted num-
302 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL.
ber of entrants (109) in one specific academic
outline and in one specific university. Hence,
the findings from this specific sample of Bache-
lor of Science students may not be typical of
Bachelor of Science students for some other pro-
grams in other universities or institutions.
Furthermore, the restrictions of the investi-
gation model make the survey open to a number
of hazards of internal validity. To illustrate this,
the absence of arbitrary selection of correspon-
dents (randomization) and the use of a control
group of correspondents make it strenuous to
explain the variations between pre- and post-
test grades in the sample.
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A Statistical Analysis of Students Attitudes Towards Statistics A Case Study of Undergraduate Bachelor of Science Students at the University of Fort Hare.pdf

  • 1. © Kamla-Raj 2016 Int J Edu Sci, 14(3): 294-303 (2016) A Statistical Analysis of Students’ Attitudes Towards Statistics: A Case Study of Undergraduate Bachelor of Science Students at the University of Fort Hare R.M. Mutambayi1 ,A.S. Odeyemi1 , J.O. Ndege1 , Q.T. Mjoli 2 andY. Qin1 1 Department of Statistics, University of Fort Hare, private Bag X1314, Alice 5700, South Africa 2 Department of Industrial Psychology, University of Fort Hare, private Bag X1314, Alice 5700, South Africa KEYWORDS Attitudes. Fright and Nervousness. Preferred Intellect and Education Styles. Statistics Course ABSTRACT Students of science disciplines at Fort Hare University must take a course in statistics along with other courses offered in their own disciplines. The goal of this study is to evaluate the general attitude of enrolled science students towards statistics module at the beginning and at the conclusion of a statistics module. Thus, to achieve the goals pursued through this study, a strategy of looking for set pre-test and post-test questionnaires was used by investigators at the beginning and the conclusion of the module. Although the learners did demonstrate moderate anxiety towards the course, anxiety anyway as compared to the beginning of the course increased by twelve percent at the conclusion of the module. In addition, a significant negative swap in their attitudes regarding the resolution of assignments in the groups was also noticed amongst the students at the end of the study. The use of real examples and the characteristics of the instructor as a factor that can help change their attitude positively towards statistics course have also been reported by students. Address for correspondence: R.M. Mutambayi 02 Pollock Street, Alice Town, Eastern Cape, South Africa, 5700, Telephone: +27 (0) 40 602 2460; Cell: +27(0) 79 242 2277; Fax: +27866253400, E-mail: you2me4you@gmail.com or mmutambayi@ufh.ac.za INTRODUCTION At this period of time, learners’ attitudes re- garding statistics modules have sustained a growing awareness about issues in the teaching of statistics. In the investigation of statistics module teaching, attitudes concerning statistics are usually widely and openly explained as a complex notion approaching unequivocal, nev- er the less associated tempers pertaining to sym- pathetic or unsympathetic replies with connec- tion to statistics and statistical intellect (GarcĂ­a- SantillĂĄn et al. 2014; Gaguk 2015; Chiesi and Pri- mi 2009; Gal et al. 1997; Schau et al. 1995). The eminence of attitudes in the surroundings of fun- damental statistics modules is widely accepted (Ramirez et al. 2012; Slootmaeckers et al. 2014; Gal et al. 1997; Leong 2006). In the social and behavioral sciences, students are generally in- timidated by figures (Allen et al. 2016).As such, taking a course in statistics remains a problem. Coping with statistical concepts in order to ob- tain the necessary knowledge of the course is challenging (Haines 2015; Finney and Schraw 2003). Such dissentient attitudes are most of the time pondered as major barriers to fruitful intel- lect (Kindratt et al. 2015; Waters et al. 1988). In several university programs, students in the sci- ence disciplines are often forced to take a sta- tistics course because the course is considered as a prerequisite for other courses in their disci- plines. Despite the students experiencing many difficulties, the course is deemed necessary to help them acquire a better understanding and improve their quantitative and qualitative re- search abilities (Kiener et al. 2015). On the basis of evidence of elements in effect on the attitude of students towards the statistics course, the authors noted, however, that there is a necessi- ty of a systematic research to be carried out on how best to offer the course to students. Unlike the discipline of science, in other disciplines such as the social sciences, among others, the course of statistics is based on anecdotal re- ports, but science students are facing the course of statistics that is based on evidence and ap- plication of concepts to real facts (Faraha- ny 2016). In addition, investigations undertak-
  • 2. A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 295 en in other academic fields may have a restricted contribution to science teachers but the appli- cations of these teachings can have a great and important contribution to the discipline of sci- ence. As a result science educators are saddled with the responsibility of teaching these stu- dents in the specific and related discipline of science (Oztabak et al. 2015). At the time the investigators were commis- sioned to conceive and teach a science under- graduate statistics module, they were hit by the deficiency of documented investigation focus- ing on implementation and lecturing, since the investigators were apprised of the attitude of fear, nervousness and ambivalence that charac- terize numerous undergraduate students in gen- eral and those in the science disciplines in par- ticular when enrolling for a statistics module (Chamberlain et al. 2015). The authors took the initiative to deliver a systematic investigation based on the best possible way of teaching sta- tistics courses to bachelor’s degree students of science. This article describes and interprets the results and proposes some suggestions for the study. METHODOLOGY Area and Specimen The survey was coordinated at Fort Hare University located in the Eastern Cape Province in SouthAfrica. The principal investigators teach, among other courses, applied statistics to Bach- elor of Science degree students at the first year level. The survey questionnaires were adminis- tered to these students in the same year they gained admission into the institution. Two as- sessments were recorded. One, students were assessed at the beginning of the course before going through statistics classes, and two, they were also assessed after the completion of the course. In all, 126 students took part in the sur- vey. By the end of the survey, 109 students had fulfilled the pair of the inceptive and termination of module questionnaire items assessments. As presented in Table 1, of the 109 students who completed the surveys, 50.5 percent of respon- dents were male, all enrolled for a course in ap- plied statistics, and 80.7 percent of participants were between 18 and 21 years old (inclusive), with a range of 18 to 41 years and above.Acom- prehensive percentage (30.2 percent) of the stu- dents stated that they are not comfortable with mathematical word problems. Ethical Mindfulness Ethical consent was acquired from the Uni- versity of Fort Hare’s ethical committee prior to the beginning of the survey. The survey ques- tionnaires were issued to students enrolled for STATISTICS 111 for the 2015 academic year in an agreeable sample. The aims of the study were enumerated to the students before their partici- pation in the study. Completed questionnaires were kept with high anonymity to protect re- spondents’ identities. TheApplied Statistics Module The module being assessed was Introduc- tion to Applied Statistics, STA 111, which is a first-year course, developed by the department of statistics, University of Fort Hare (UFH),Al- ice campus. This is a compulsory course for all Bachelor of Science students irrespective of the degree program to which the students are ad- mitted. In this course, students are taught basic computer skills and some elementary statistical analysis techniques. The main basis of STA111 is to empower these learners with fundamental statistical comprehension that will enhance their skill in conducting basic statistical analysis for their research projects in their final year of study at the institution, aside from future applications. The module also covered basic statistical con- Table 1: Biographical information in percentages n % Cum. % Gender Male 55 50.5 50.5 Female 54 49.5 100.00 Total 109 100.00 Age 18-21 88 80.7 80.7 22-30 17 15.6 96.3 31-40 3 2.8 99.1 >41 1 0.9 100.00 Total 109 100.00 Program of Study Plain Bachelor of 7 6.4 6.4 Science Soil Science 17 15.6 22 Bachelor of Science 85 78.0 100.00 in Agriculture Total 109 100.00 Source: From the data
  • 3. 296 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL. cepts and descriptive statistical estimates such as graphical meaning of data, inferential statis- tics that includes t-tests, Chi-square test, one- way analysis of variance, linear regression, and diverse nonparametric tests. Moreover, a good knowledge of the course also aids students in their interpretation of statistical outputs. SurveyDevelopment EarlierworksbyReeinna(2014)andStanisav- ljevic et al. (2014) investigated the attitudes of the students towards studying statistics. How- ever, these works were limited in their applica- tions to the university undergraduate students. Moreover, learners’attitudes to desired intellec- tual and educating styles when enrolling for modules in statistics were not probed by these authors. In an effort to address these uncov- ered grounds, a 28-item survey that incorporat- ed declarations concerning three main areas was distributed. The areas covered are overall atti- tudes regarding the study of statistics, desired studying styles in statistics modules, and de- sired lecturing styles in statistics modules. More- over, few questions were queried about elemen- tary demographic characteristics such as age, program of the study, and the gender of the re- spondents. The 28-item survey questionnaire is structured such that each student would indi- cate the range to which learners agreed with each declaration using a five-point Likert scale that ranged from “strongly disagree” (rating of 1) to “strongly agree” (rating of 5). The primary set of queries on overall attitudes to statistics mod- ules included 10 queries related to learners’ over- all attitudes towards enrolling for a statistics module and computer utilization. The categoriza- tion used in this study was based on Schau et al. (1995) titled “The Development andValidation of the Survey of Attitudes toward Statistics”. The 10 questions considered by the authors were grouped into three components (Table 2): self- reliance about enrolling for statistics, fright and nervousness about enrolling for statistics and students’ serenity with computer utilization. The second set of queries, which is on learn- ers’ favorites related to their intellectual styles when enrolling for statistics module, included seven queries about different items they be- lieved would be relevant to them; all the queries were summarized into three distinct components (Table 3): identically loaded home works (in des- ignation of scores), a liking of working together Table 3: Different factors of preferred intellectual styles Preferred intellect styles Component 1 Component 2 Component 3 Equally Loaded Home Works Preference Team Effort Preference for Real Practical Problems I desire faintly loaded home works I master best when I study I am an optically trainee as a group Weekly quizzes facilitate my intellect Group tasks are non-objective Real life illustrations help me understand a concept Practice helps me perceive concepts Table 2: Different factors of overall attitudes towards statistics Overall attitude to statistics Component 1 Component 2 Component 3 Self-reliance Fright and Nervousness Computer Comfort I am serene in my prowess When thinking about statistics, I am pleasant using a computer for to do ably in statistics I feel scared more than elementary occupations I feel comfortable using numbers I am troubled that I will not I like grasping up to date computer comprehend statistical concepts programs Mathematical word queries I am anxious that I will need supple- are effortless to me mentary assistance to perform well in a statistics course This will doubtless be the most strenuous module I have ever taken I am worried about not being clever enough in the statistics class
  • 4. A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 297 in different groups, and a liking of practical ex- amples related to real problems. The third set of queries was associated with the learners’ desires as they concern the inves- tigator’s lecturing styles during statistics class- es. These incorporated eleven questions which were later summarized into three non-identical components (Table 4): a feeling of the educator’s scheduling and all-inclusive success, the educa- tor’s comfort and precision, and the educator’s aptness to utilize captivating visual supports and tangible illustrations from the sciences. For both pre- and post-test grades from the three groups comprising 28 queries, a satisfac- tory internal consistency and reliability (Cron- bach’s alpha coefficient of 0.87) was obtained from the analysis. DataCollectionMethod Survey questionnaires were issued to sci- ence students who enrolled for a statistics course at the beginning of the semester, prior to attend- ing their first lecture in their statistics course. They were done in such a way that the involve- ment in the investigation was non-compulsory and no student’s identification information was indicated on the answered questionnaires. Stu- dents were told that following the first survey, a second investigation questionnaire would be issued to them at the conclusion of the semes- ter’s statistics course. From 126 Bachelor of Sci- ence students entitled to fulfill the survey, 109 (86.5%) fulfilled the survey questionnaires be- fore the statistics module, and 111 (88%) replied to the survey by the conclusion of the statistics module. To have a balanced design, statistical analysis was performed on 109 completed ques- tionnaires from pre and post-test surveys. More- over, these 109 pairs of survey questionnaires (pre-and post-test) were assumed to be stand- ing for effective combinations of similar catego- ries of learners. Data Capturing andAnalysis Data was coded and captured, both descrip- tive and inferential statistical analyses were used in this study. Elementary descriptive statistics for each statement were calculated, and the av- erage grade for each survey statements was an- alyzed for possible variations in learners’ replies between the beginning and the end of the mod- ule, using match t-test. When analyzing the data, a significance level of five percent was set as a thresh holder just to verify the statistical signifi- cance of the results and the Statistical Package for SocialSciences(SPSSversion22)wasutilized. RESULTS In this section findings based on Descrip- tive and Inferential statistics will be presented. Descriptive Statistics (Beginning of the Module) The descriptive statistics for science learn- ers’ replies prior to starting a statistics module (pre-assessment) are displayed in Tables 5, 6 and 7, and what is purely an inclusive synopsis and certain high points are delineated in this write-up. All grades designate prospective re- plies between 1.0 and 5.0, with grades approach- Table 4: Different factors on preferred teaching styles Preferred teaching styles Component 1 Component 2 Component 3 Planning and effectiveness Comfort and precision Tangible and visual Effectiveness usage of office Tolerance Providing tangible illustrations working hours Prompt riposte to email messages Comprehensive explanations Displaying lecture notes or power point- format slides show Assigning punctual reply Hospitability Thoroughly comprehension of statistics Utilizing ocular aids of things to elucidate concepts Appropriate pace (not too quick, not too steady)
  • 5. 298 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL. ing 5.0 revealing stronger accordance with the survey statement. OverallAttitudes Related to Statistics Learners’ general attitude regarding statis- tics at the beginning of the module (Table 5) can be condensed as reasonably self-reliant (Mean score of 3.3), somewhat by 6.6 percent as com- pared to the beginning of the course). From the results displayed in Table 5, students fear sta- tistics significantly (mean score of 3.32) and the fear has increased by 8.1 percent as compared to the level where it was before the test. Stu- dents already have a feeling or belief that statis- tics will be the most arduous module they en- countered (mean score of 2.95) and the feeling has increased by 17.5 percent after writing the test and students are distressed about not hav- ing done well enough in the statistics module (mean score of 3.11) and the concern has in- creased by 12.7 percent as compared to the be- ginning of the course. All of these factors can lead to a student developing negative attitudes towards statistics, as this can be seen through students losing confidence in their ability to do well in a statistics course (mean score of 3.73, dropping by 7.4 percent as compared to the av- erage score at the beginning of the course). Preferred Intellect Styles From the output as displayed in Table 6, stu- dents seem to have strong views about what they perceived would assist them do better in a statistics course prior to the beginning of the module. From the result, students prefer indi- vidual assignments rather than group assign- ments which make some to simply rely on the solutions provided by their peers (mean score 2.75, increasing by 23.3% as compared to the beginning of the course), and it has been no- ticed that students preferred real life examples of statistical concepts, which help them better understand the course (mean score of 4.11). But the rest of the factors considered in Table 6 were not significantly affected, meaning the attitude of the students towards statistics was the same on the pre- and post-test survey. Preferred Teaching Styles Students appeared not to have a preferred teaching styles as shown in Table 7. When it Table 5: Averages (M), standard deviations (SD) grades and match sample t-test grades of the ‘attitude related to statistics’ grade for pre- and post-test reply Items Pre-test Post-test Match Remark on sample amelioration M SD M SD t-test % growth/ statistic drop Attitude Related to Statistics Component 1 (Self-reliance) I am positive in my ability to perform well 4.03 0.68 3.73 0.93 3.31* -7.00 in a statistics course I feel confident using figures 3.83 0.80 3.79 0.96 0.53 -1.00 Mathematical related word problems are 2.81 0.93 2.61 0.99 1.67 -7.20 easy for me Component 2 (Fright and Nervousness) When I think about statistics I feel worried 3.07 1.29 3.32 1.23 -2.08* +8.10 I am concerned that I will not master the concepts of statistics course 2.15 1.20 2.60 1.24 -1.73 +20.9 I am anxious that I will need supplementary help to do well in a statistics course 3.94 1.06 4.10 0.83 -1.63 +4.06 This will certainly be the most arduous module I have ever grasped 2.51 1.31 2.95 1.25 -3.68*** +17.5 I am distressed about not being clever enough in the statistics module 2.76 1.20 3.11 1.16 -2.64** +12.7 Component 3 (Computer Comfort) I am serene using a computer for more than elementary activities 4.01 1.04 3.91 0.87 0.98 -2.50 I like intellect new computer programs 3.80 1.19 3.55 1.16 2.01* -6.60 Key: * = p<0.05 ** = p<0.01 *** = p<0.001 Source: From the data
  • 6. A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 299 comes to rather preferred teaching styles, stu- dents seem to have appreciated the styles used when they were being taught on pre- and post- test surveys. It appears that the attitude of Bachelor of Science students at Fort Hare University is not negatively affected by teaching style. Inferential Statistics (At the Beginning and the Conclusion of the Module) The extent to which learners’ attitudes and preferences regarding statistics module, intel- lectual styles and lecturing styles altered be- tween the beginning and the end of the module is unveiled in Tables 5, 6 and 7, and an all-inclu- sive synopsis and certain focal points are writ- ten up here in the narrative. Overall Attitudes Regarding Statistics While the pre-test investigation demonstrat- ed that learners exclusively revealed tolerable degrees of fright and nervousness towards en- rolling for a statistics module, this was more- Table 6: Averages (M), standard deviations (SD), match sample t-test scores of the ‘preferred intellect styles’ grade for pre- and post-test reply Items Pre-test Post-test Match Remark on sample amelioration M SD M SD t-test % growth/ statistic drop Preferred Intellect Styles Component 1 (Identically Loaded Home Works) I prefer moderately loaded home works 3.77 1.07 3.60 1.13 1.23 -4.50 Weekly quizzes facilitate my intellect 3.77 1.24 3.79 1.01 0.07 +0.50 Component 2 (Preference for Team Work) I learn best when I study with others as a team 4.13 1.22 3.92 1.18 1.92 -5.10 Group assignments are unfair 2.23 1.35 2.75 1.35 -3.82*** +23.3 Component 3 (Preference for Visual Intellect) I am visual student 3.58 1.09 3.78 0.88 -1.39 +5.60 Concrete illustrations assist me perceive concepts 4.34 0.76 4.11 0.85 2.06* -5.30 Practical intellect assists me apprehend ideas 4.06 0.98 4.13 0.90 -0.62 +1.7 Key: * = p<0.05 ** = p<0.01 *** = p<0.001 Source: From the data Table 7: Averages (M), standard deviations (SD), and match sample t-test scores of ‘preferred educating styles’ grade for pre- and post-test reply Items Pre-test Post-test Match Remark on sample amelioration M SD M SD t-test % growth/ statistic drop Preferred Education Styles Component 1 (Planning and Success) Success use of office hours 3.77 0.99 3.85 0.82 -0.68 +2.10 Well timed response to email 3.50 0.89 3.36 0.93 1.30 -4.00 Providing well timed response 3.75 0.95 3.78 0.73 -0.11 -0.80 Thoroughly understanding of statistics concepts 3.50 0.83 3.48 0.88 0.44 -0.60 Using visual supports of things to elucidate concepts 3.43 0.91 3.49 0.78 -0.50 +1.70 Appropriate pace (not too speedy, not too steady) 3.78 1.01 3.74 0.98 0.67 -1.10 Component 2 (Warmth and Clarity) Patience 4.20 0.80 4.06 0.82 1.38 -3.30 Clear explanations 4.38 0.67 4.30 0.79 1.03 -1.80 Approachability 4.17 0.90 4.18 0.83 0.00 +0.20 Component 3 (Actual and Perceptible) Delivering ‘real life’ illustration 4.07 0.87 4.10 0.90 -0.19 +0.70 Displaying notes or PowerPoint slides display 3.49 1.20 3.49 1.08 0.07 0.00 Key: * = p<0.05 ** = p<0.01 *** = p<0.001 Source: From the data
  • 7. 300 R.M. MUTAMBAYI, A.S. ODEYEMI, J.O. NDEGE ET AL. over the one domain that showed the most con- siderable variations between pre-test (before module) and post-test (after module), as ob- served in Table 5. In illustration of this, consider the fact that learners’ agreement with the decla- ration that ‘students are confident in their abili- ty to do well in a statistics module’ fell 7.4 per- cent by the conclusion of the module (t [108] = 3.31, p = 0.01 < 0.05), and their agreement with the declaration that ‘I like intellect new comput- er programs’ fell 6.6 percent by the conclusion of the module (t [108] = 2.01, p = 0.047 < 0.05). Students’ average agreement grade with the dec- laration ‘when I think about statistics I feel wor- ried’ was 3.32 by the conclusion of the module, indicating an increase of 8.1 percent (t [108] = - 2.08, p = 0.040 <0.05) from the beginning of the module. Regrettably, at the conclusion of the module, there was only a slight and non-statisti- cally significant growth of 4.06 percent in stu- dents’ sympathy with the declaration ‘I am anx- ious that I will need supplementary help to do wellinastatisticsmodule’(t[108]=-1.63,p>0.05) compared to the beginning of the module. Preferred Intellectual Styles Whilst the swaps in this domain were not as stimulating as the swaps in fright and nervous- ness grades, the science students still revealed some crucial moves in preferences about intel- lectual styles between the beginning and the conclusion of the module (Table 6). Notably, science students appear to have undergone a bad record with the team-based intellectual per- spective apprehended in the module, as corrob- orated by a 23.3 percent increase in accordance with the declaration ‘group assignments are unfair’(t[108]=-3.82,p<0.05);inaddition,about twenty-eight percent of students who sympa- thized with the declaration ‘group assignments are unfair’ failed at the conclusion of the mod- ule. Surprisingly, eighty-two percent of students who agreed to the declaration ‘real life illustra- tions assist me understand’ (t [108] = 2.06, p < 0.05) passed at the conclusion of the module. Preferred Educating Styles As can be seen in Table 7, in general prefer- ences for educating styles did not change the attitudes of all students by the conclusion of the module. Whilst all attitudes remained un- changed, the instructor educating styles that appeared critical to them at the beginning of the module had dropped slightly in influence by the conclusion of the module although not signifi- cantly. For example, “clear explanations” had declined in significance by 1.8 percent, but this decline is not statistically significant (t [108] = 1.03, p > 0.05). DISCUSSION The purpose of this investigation was to analyze Bachelor of Science students’ overall attitude regarding statistics modules before and after taking a module in applied statistics. From the aspect of descriptive statistics, the authors found that students reported a moder- ate general attitude towards statistics, with re- sults confirming the findings of van der Weath- uizen (2015). Students also reported a signifi- cant fear of statistics as reported by the find- ings of Förster and Maur (2015). In general, students appreciated the gener- ally preferred intellectual styles, except that stu- dents did not prefer the group assignment meth- od, which can help develop an attitude towards statistics as confirmed by Donohue and Rich- ards (2009), and moreover students preferred the real life examples to help them understand a giv- en statistical concept as found by a research done by GarcĂ­a-SantillĂĄn et al. (2014). Preferred Teaching Style Used by theAuthors was Satisfactory forall the Students Before and After the Test As far as the inferential statistics is con- cerned, the authors found that the students’ persuasions and preferences regarding statis- tics, intellectual techniques and educating tech- niques have altered between the beginning and the conclusion of the module. However, students reported a lack of confi- dence in statistics as confirmed in a research done by Sulieman (2015); it was also found by the research done by Slootmaeckers et al. (2014) which was confirmed by Hagen et al. (2013), Williams (2014), Förster and Maur (2015) that students were feeling even more scared of the course as compared to the initial level of fear as it was found. Students also reported saying that statistics is the most difficult course and that conception
  • 8. A STATISTICAL ANALYSIS OF STUDENTS’ ATTITUDES TOWARDS STATISTICS 301 went a bit higher as compared to the initial level as confirmed by a study done by Hannigan et al. (2014) and Jatnika (2015). Students reported that the fact of considering themselves as not being intelligent enough helps to build up an attitude towards statistics as confirmed by a study done by Kristi (2013) at Clayton State University and a paper published by Ngirande and Mutodi (2014). Students reported that group assign- ments are unfair, as they do not help to focus and solve the problems individually; this been confirmed by Ladley et al. (2015). Lastly, students reveal that real life examples help understand statistics concepts, results that are confirmed by Mvududu and Kanyongo (2011) and David et al. (2013). CONCLUSION Several results have come out of both the pre-module and the post-module investigations. Mainly, considering that both the authors’ awareness and anecdotal report indicated that learners’ degrees of fright and nervousness about enrolling for a statistics module can be relatively excessive, the authors were shocked to discover that students originally delineated a poor grade of fright and nervousness (an aver- age grade of 2.89, which is below 3.0 on a scale of 1 to 5). The reason for this could be that the students who enrolled for the module had learned from preceding students (who had for- merly enrolled for the statistics module) and de- clared that the module was indeed not horrifying and was conceived in a way to maximize learners’ expectation of passing, the extra evening classes and intensive tutorial sessions (organized by the authors in previous years) have also played an urgent role because they helped expose students to statistical concepts and afforded them oppor- tunities to solve past questions. Although students outlined poor degrees of fright and nervousness prior to the module, sur- prisingly the authors discovered that students’ degrees of fright and nervousness about statis- tics increased roughly by an average grade of 11 percent (founded on the five queries that rat- ed the component of fright and nervousness about statistics module) by the conclusion of the module to an expected grade of 3.21 on a scale of 1 to 5. RECOMMENDATIONS However, it is hard to deduce the exact iso- lated aspects of the manner we admitted that pedagogy of our statistics module might possi- bly be adding values to the fall-down in learn- ers’ degree of fright and nervousness. The re- searcher believes that they have the obligation of inserting many propositions and new ideas into the criticism of the science statistics mod- ules’ anecdotal literature on statistical pedago- gy at the University of Fort Hare. That is, the researchers believe that their combination of using group assignment and non-real life exam- ples may not have contributed to the fundamen- tal decrease in students’ fright and nervousness, hence the authors have to revise and adapt the conception and delivery of the course to ad- dress the major findings from this study. The introduction of real-life based examples and in- dividual assignments, among others, could help improve students’ attitudes towards statistics. Moreover, from the study, it can be seen that a number of implications have arisen; further in this domain, related investigation is required. Pending the time additional investigations are carried out on the pedagogy and philosophy of lecturing statistics to Bachelor of Science learn- ers, science educators face the danger of main- taining teaching confirmation grounded science application without confirmed ground of proof. Consequently, the researchers hope that the find- ings of this investigation will start to assist in filling in the cavity of proof and motivating more science instructors and assessors to undertake and produce their own supplementary findings. Moreover, it has been noticed that students look to desire and perceive some intellect and educating techniques, uncommonly the one that incorporates visual supports, real life illustra- tions- and educators who are friendly. Further- more, the research proposes that while students can begin statistics modules with distinct de- grees of fright and nervousness, effective use of their preferred intellectual and educating styles can seriously minimize the student’s fright and nervousness. LIMITATIONS This investigation has a number of possible limitations which are important to emphasize. The investigation used a relatively restricted num-
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