Neng Ranti*, S. Supriadi
Universitas Pendidikan Indonesia, Kampus
Serang, West Java, Indonesia
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ARTICLE
INFO |
ABSTRACT |
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Keywords: Error analysis; inferential statistics; thesis |
Learning inferential
statistics is very important for students of the Elementary School Teacher
Education study program, Universitas Pendidikan
Indonesia, Serang Campus, to study a phenomenon and
analyze research data. The purpose of this study was to determine the errors of
inferential statistics in student thesis. Because the Inferential Statistics
course is a subject that is considered difficult and cannot be applied in
everyday life, the samples in this study were students of the Elementary
School Teacher Education Study Program, Universitas
Pendidikan Indonesia, Serang Campus, batch 2019.
This study used quantitative research with descriptive methods. Also using
the results of SPSS version 20 output. The research subjects are students of
the 2019 Elementary School Teacher Education study program. The analytical
technique used is normality test analysis, homogeneity, t test which is then
followed by the Mann Whitney test. The output results of SPSS version 20 show
that the t-test used by students in the thesis is not correct or an
inferential statistic error occurs because the results do not meet the t-test
requirements because the data is not normal, which should use the Mann
Whitney test. |
*corresponding author
E-mail addres: [email protected] (N.
Ranti)
1. Introduction
Statistics is the study
of collecting, analyzing, interpreting, and presenting statistics in such a way
that it becomes information to arrive at effective conclusions (Purwanto, 2019), Statistics itself is data or facts that are
collected, analyzed, recorded, processed and presented in the form of diagrams
or tables and so on. If you agree with the paragraph above, then the topic of
this discussion is Statistics research. In a study, Statistics is used as a
tool to analyze data as well as information. There are two types of statistics,
including descriptive statistics and inferential statistics (Abdullah, 2015), descriptive statistics aims to provide descriptive
data and information, while inferential statistics analyze and predict data.
According to the
definition presented in the previous paragraph it clearly states that
Statistical inference is different from Statistical descriptivism because the
latter task includes collecting data, analyzing it, and drawing conclusions
about the population (Bungin, 2013; Cooper & Schindler, 2014). Thus hindering the analysis and formulation of
theories or hypotheses; alternatively, statistical inference is closely related
to probability theory, significance level, correlation coefficient, and
hypothesis. Abdullah (2015), substantive statistical inference is intended to
provide population characteristics based on the results of statistical case
studies. Inferential statistics are often used in scientific writing,
especially in academic works that can be written such as dissertations, theses,
and journal articles.
The key techniques for
inferential sampling in Statistics are probability or analytical techniques (Sugiyono, 2013). Inferential statistics performs probability,
covariance, correlation, regression, hypothesis testing, and finally the
analysis draws conclusions. Inferential statistics is also the science of
analyzing data so that population size (parameters) can be described through
the sample size with the aim of generalizing the analysis. What happens to the
sample will be generalized and considered a description of a population by
performing significance tests. Usually used in quantitative research.
What comes to your mind
when you hear the word "statistics". Statistics is no longer a
foreign word in the ears of students. Fixed numbers with appropriate values
had to be 'translated', which required the use of special tools,
or alternatively, appropriate types of diagrams explaining the relevant issue,
according to a word that has since ceased to be heard. existence in everyday
life. The development of the science of Statistics can be used to explain how
Statistics currently has a very large toolbox that is used for things such as
the scientific method, statistical inference, linear regression, psychology,
electronics, biometry, and even technology. In order to interpret the results
of the study data analysis accurately, it is highly expected that this
knowledge of Statistics will be required (Haerudin, 2020).
Maryati (2017) argues that the purpose of statistical punishment is
to help people understand information that affects their daily lives based on
data, or ideas that help people understand how to collect, organize, analyze,
and present data used in certain situations. Apart from being used in research
conducted at the university level, Statistics can also be applied to a variety
of research conducted in various disciplines.
Based on the results of
research conducted by Siregar (2017), at the Faculty of Teacher Training and Education,
South Tapanuli Muhammadiyah University, it was found
that in general students had difficulty compiling data for statistical
analysis, even though the data in question was included in the big data
category. Siregar continued by stressing that the
reason for the low enthusiasm of women when compiling statistical data was that
women's education at the senior high school level usually did not come from the
high school law. As a result, the process of training women in Statistics has
deteriorated. In addition, students' low interest in reading results in a lack
of knowledge in various ways, especially in terms of data processing in simple
statistics.
The findings from the
observations made by the observer to the seventh semester students who will
start the thesis process, namely there are facts that reveal that most students
in general experience many events and worries during writing a thesis. The
reason for this concern is that the individuals involved have a need for data
analysis. The analytical skills of masters students
are the single most important aspect of the learning process, and they must be
applied by masters students if studies are to give accurate results.
In line with the
importance of the existence of Statistics in research, one of the missions of
the Primary School Teacher Education study program is to carry out excellent
research, develop and publish innovative and competitive works in the field of
basic education and early childhood education, as well as relevant
multidisciplinary research, to achieve the mission of the school teacher education
study program, the curriculum that applies in the elementary school teacher
education study program is one of the obligations that must be taken by
students in making a scientific work as a graduation requirement called a
thesis.
Thesis is a form of scientific
work in which the description in the thesis contains a phenomenon that occurs
and is then studied by students, analyzed the data, so that in the end students
get a conclusion from the results of the research. This is where the role of
statistics is very important to master. However, during the trip, not many
undergraduate students had difficulties in analyzing the data from the
questionnaires they had completed. In this case, the campus as an education
provider must be able to maximize the role so that students can be responsible
for completing their final assignments, and one way is by minimizing the
learning difficulties faced by students in learning inferential statistics,
namely by analyzing what kind of difficulties they face and learn what factors
influence student difficulties in learning inferential statistics so that in
the future a kind of learning strategy can be carried out so that student
difficulties in learning inferential statistics can be overcome.
The types of statistical
data processing tools include SPSS, Ministep and so
on, as we already know that these tools are solutions in data processing whose
function is to facilitate researchers in processing thesis scientific work
data, but in fact there are many errors in Statistical data processing on
student thesis.
Inferential statistics
data processing in current research should be done easily because there are
many data processing tools that can be accessed such as SPSS, Ministep and so on. However, there are still many
scientific works that are wrong in processing inferential statistics data, so
it is necessary to do research on the analysis of students' thesis errors in
elementary school teacher education in inferential statistics. In this study,
the researcher will analyze the inferential statistical errors in the student
thesis of the Elementary School Teacher Education study program, analyze the
inferential statistics errors in the student thesis.
Based on the results of
previous studies, various studies have been directed at the factors causing
student errors in inferential statistics courses (Haerudin, 2020; Solihati and Hidayanti, 2021; Yuniarti, 2022). In
previous research, there has been no exploration that draws explorations that
analyze related to inferential statistical errors in student thesis. Based on
previous research, the purpose of this study was to find out the inferential
statistical errors in the thesis of students of the Indonesian Education study
program, Serang Campus.
It can be concluded that
inferential statistics is an activity of processing data obtained according to
the sample rules, then analyzed accurately and systematically with the aim of
providing conclusions from sample data to generalize population conditions.
2. Methodology
This study uses a
quantitative research approach with methods using descriptive analysis. So the researcher uses factor analysis by looking for the
output of thesis data using SPSS software version 20. In descriptive analysis
to draw conclusions about inferential statistical errors in student thesis.
Previous research that
has carried out research related to inferential statistics �(Solihati and Hidayanti, 2021), entitled Analysis of Information Systems Student
Learning Independence in Inferential Statistics Course, which aims to determine
how much confidence students have in studying inferential statistics, and also
how much motivation the student has. In the study (Haerudin, 2020), entitled analysis of student difficulties in the
inferential Statistics course, which aims to analyze what kind of difficulties
they face and learn what factors influence students' difficulties in learning
inferential statistics so that in the future such things can be done. learning
strategies so that students' difficulties in learning inferential statistics
can be overcome. In the study (Yuniarti, 2022), entitled Student Errors in the Public Administration
Study Program in Solving Descriptive Statistics and Inferential Statistics
Problems, which aims to analyze student errors in solving Statistics problems.
In this study, there is
an analysis that is carried out in several stages of analysis on the output
results of SPSS version 20 regarding the normality test, homogeneity then the t
test when it does not meet the prerequisites should use the Mann Whitney test.
The population used by
the researcher is the 2019 Elementary School Teacher Education student. While
the sample from this study is one student of the Elementary School Teacher
Education Study Program. The focus or problem variable in this study is to
analyze the inferential statistical errors experienced by students in the thesis.
In determining the
hypothesis Ha, there is a difference in the average of the experimental class
(Sundanese ethnomathematical learning) and the control (Not Sundanese
ethnomathematical learning). And Ho there is no difference in the average of
the experimental class (Sundanese ethnomathematical learning) and the control
(Not Sundanese ethnomathematics learning).
3. Results and Discussion
The results of the SPSS version 20 analysis can be analyzed by describing the contents of the output results.
Is there an error in inferential statistics in the student thesis in research (Yuningsih, 2019), with the title "The Effect of Sundanese
Ethnomathematical Learning on the Ability to Think Analytical Mathematics for
Class III Elementary School Students", the study program for Elementary
School Teacher Education, University of Education, Serang
Campus. This analysis was carried out in the study including normality test,
homogeneity t test with 20 students in experimental class and 20 students in
control class.
A. Normality Test
Table 1. Results of the Posttest Data Normality Test on Thesis
Tests of Normality
|
|
Kolmogrov-Smirnova |
|||
|
Statistic |
���� Df |
Sig. |
||
|
|
Experiment_Class Control_Class |
,183 ,095 |
20 20 |
,076�
,200* |
From the data table above, it can be explained that
in the student thesis there are normality test results that Sig> 0.05 = Ho is
accepted, Sig <0.05 = Ho
is rejected. It was found in
the thesis data that posttest were 0.076 > 0.05
(normally distributed data) and the posttest class control
0.200 < 0.05 (normally distributed data).
Table 2. Results of the Posttest Data Normality Test
Tests of Normality
|
Group |
The Kolmogrov-Smimova |
Shapiro-Wilk |
|||||
|
Statistics |
df |
Sig. |
Statistics |
df |
Sig. |
||
|
Value |
Experiment Class Control Class |
,190 |
20 |
0,056 |
,897 |
20 |
,036 |
|
,100 |
20 |
,200* |
,952 |
20 |
,406 |
||
*. This is a
lower bound of the true significance
a. Liliefors significance correction
After checking again using a tool in the form of
SPSS version 20 which is the same as the thesis data, it was found that posttestwere 0.036 < 0.05 (data not normally
distributed) and the posttest class control
0.406 > 0.05 (normally distributed data). Then the next researcher conducted
a homogeneity test.
B. Homogeneity
Table 3. Test of
Homogeneity Posttest on Thesis
Tests of Homogenety of Variance
|
Levene Statistics |
df1 |
df2 |
Sig. |
||
|
Value |
Based on mean Based on median Based on median and with adjusted df Based on trimmed mean |
3.399 3.167 3.167 3.318 |
1 1 1 1 |
38 ����� 38 ���� 35.587 38 |
.073 .083 .084 .076 |
In the image
data above, homogeneity test was carried out. It can be seen that Sig > 0.05
= Ho is accepted Sig < 0.05 = Ho
is rejected.
Table 4. Data Homogeneity
Test Posttest
Tests of Homogenety of Variance
|
Levene Statistics |
df1 |
df2 |
Sig. |
||
|
Value |
Based on mean Based on median Based on median and with adjusted df Based on trimmed mean |
3.274 3.013 3.013 3.176 |
1 1 1 1 |
38 38 35,932 38 |
.078 .091 .091 .083 |
Based on
the mean result 0.078 > 0.05 = Ho is
accepted (homogeneous data) This thesis should not use the independent Sample
t-test test because the requirements for the independent Sample t-test are not
met, i.e. the data is not normally distributed. The requirement to use the
independent sample t-test is that the data of two groups whose members are
different and the data of the two samples must be normally distributed and
homogeneous.
C. Independent Sample t-test
with spss
Table 5. Results of t-test
Data Posttest
Independent Samples Test
|
t-test for
Equality of Means |
||||||||
|
T |
Df |
Sig (2-tailed |
Mean Difference |
Std. Error Difference |
95% confidence interval
of the difference |
|||
|
Lower |
Upper |
|||||||
|
Value |
Equal variances assumed Equal variances not assumed |
5,391 5,391 |
38 32.881 |
,000 ,000 |
36,194 36,194 |
6,714 6,714 |
22,602 22.532 |
49,787 49,857 |
�� sig value. (2-tailed) 0.000 < 0.05 then Ho is rejected.
Table 6. Results of t-test
Data Posttest
Independent Samples Test
|
t-test for equality of means |
||||||||||
|
F |
Sig. |
t |
df |
Sig (2- tailed |
Mean Difference |
Std. Error Difference |
95% confidence interval
of the difference |
|||
|
Upper |
||||||||||
|
Value |
Equal variances assumed Equal variaces not assumed |
.078 |
5.412 |
3.274 5.412 |
38 33,018 |
000 .000 |
36.25000 36.25000 |
6.69803 6.69803 |
22.69056 22.62305 |
49.80944 49.87695 |
From the results of the t test with SPSS version
20, it can be concluded that Ho is rejected, which
means there is a difference in the average value of the class with Sundanese
ethnomathematical learning (experimental class) and non-Sundanese
ethnomathematical learning (control class). Because the data is not normally
distributed, then there is a further test that the researcher must fulfill by conducting the Mann Whitney test.
D. Mann Whitney test with SPSS
Table 7. Ranks
|
Class |
N |
Mean Rank |
Sum of Rank |
|
|
Posttest |
Experiment Class |
20 |
28.08 |
561.50 |
|
Control Class |
20 |
12.93 |
258.50 |
|
|
Total |
40 |
|||
Table 8. Test Statisticsa
|
Posttest |
|
|
Mann-Withney U |
48,500,000 |
|
Wilcoxon W |
258,500 |
|
Z |
-4,106 |
|
Asymp. Sig. (2-tailed) Exact
Sig.[2*(1-tailed Sig.)] |
,000 .000b |
a. Grouping
variables: Class
b.
Not corrected for ties.
The results obtained from the Mann Withney test that the value of Asymp.sig
(2-tailed) 0.000 <0.05 then Ho is rejected and Ha
is accepted, meaning that the development of the Sundanese ethnomathematical
learning class (experimental class) is better than the non-Sundanese
ethnomathematical learning class (control class).
4. Conclusion
It was concluded
that the inferential statistical error in the student thesis of the Elementary
School Teacher Education study program at the Indonesian Pendiidkan
University, Serang Campus, was an error in the
author's thesis using the independent t-test while the data did not meet the
prerequisites. Then the error in the normality test found significant
differences in the posttest of the experimental class 0.076 > 0.05 (normally
distributed data) and the posttest class control 0.200 < 0.05 (normally
distributed data). After checking again the results
posttest0.036 <0.05 (data not normally distributed) and the posttest class
control 0.406 > 0.05 (normally distributed data). This means that there is a
comparison between the thesis data of the experimental class and the control is
normally distributed but different from the data from the retest by the
researcher where the experimental class and the control are not normally
distributed.
Then the test is
continued with homogeneity when viewed based on the mean result 0.078 > 0.05
= Ho is accepted meaning (homogeneous data) This thesis should not use the
independent Sample t-test test because the independent Sample t-test
requirements are not met the data is not normally distributed. In the thesis Ho
is rejected, which means that there is a difference in the average value of the
class with Sundanese ethnomathematical learning (experimental class) and
non-Sundanese ethnomathematical learning (control class). When the researcher
conducted a truth test using SPSS with the same version as the writer of the
SPSS version 20 thesis, because the data were not normally distributed, it was
continued with the Mann Whitney test. The results of the Mann Whitney test
found the value of Asymp.sig (2-tailed) 0.000
<0.05 then Ho was rejected and Ha was accepted, meaning that the development
of the Sundanese ethnomathematical learning class (experimental class) was
better than the non-Sundanese ethnomathematical learning class (control class).
The problem that
tend to occur frequently and are often made by students are inaccuracies in
determining procedural, especially the steps in determining the test used, so
that re-checking is needed and also directed guidance to produce a better
thesis. And make sure if you want to use the independent t-test, make sure the
two groups have different members and the data for the two samples are normally
distributed and homogeneous.
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