Between Groups Test of Differences
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Between Groups Test of Differences
Courtney S. Edwards
College of Doctoral Studies, Grand Canyon University
RES-844-O500: Designing a Quantitative Study 2
Dr. Victor Landry
June 13, 2022
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Between Groups Test of Differences
Academic achievement is usually determined by the grades of students earned at the end
of any exam that was given. As technology and the approaches to education change, learners are
now given a multitude of platforms and options that they can utilize for normal classwork and
test evaluations, sharpening their skills in the process. Regardless of how the student learns (via
tutoring or teaching themselves), their results are still captured from grades on an exam. The
various methods for learning play an impact on academic achievement, so how will we be able to
test for the difference in English scores between the different learning modalities?
The Research Problem & Purpose Statement
When it comes to academic achievement, it ultimately depends on the student’s self-
discipline as well as self-determination. If a student is doing well academically, it shows that
they have an understanding and a balance of both discipline and determination to put in the effort
of doing well in their studies. For a subject like English, there has been a shift of high scores
recorded from the female students, as compared to the male students.
According to previous literature, there has been a need to investigate grades between the
three learning modalities of face-to-face, hybrid, and online to determine if there are any
differences between the three modalities when it comes to the evaluation of student learning
(Bandara & Wijekularathna, 2017; Larson & Sung, 2009). By applying proven the best teaching
practices and learning principles to student performance, researchers have found that instructors
were able to influence grades in the traditional, online, and hybrid settings (Andrews Graham,
2019; Burgess, 2015; Crews et al., 2015).
Based on teachers’ records, there has been an observation that female students tend to
have higher scores in English compared to their male counterparts, but they scored lower on
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science in math. For this study, we will be examining the difference in the scores from the
English subject in reference to the other subjects, as well as the three learning modalities.
The purpose of this study is to explore differences in the English scores to the learning
modality by the students’ gender and in relation to the math and science subjects. This will be
obtained by the data presented and analyzed by using SPSS tool.
Research Question
The question that will be addressed is, how can we test for the English scores’ differences
between the three learning modalities, as well as compare the test assumptions and describe the
outcome of the test?
Hypotheses
H10: There is not a significant difference on the mean English scores to the learning modalities.
H1A: There is a significant difference on the mean English scores to the learning modalities.
H20: There is not a significant difference on the mean statistical analysis.
H2A: There is not a significant difference on the mean statistical analysis.
Testing and Result Analysis
Based on the analysis report conducted, out of the 250 students observed, 126 were
female and 124 were men, with the female students making up 50.4% of the total respondents.
With these results, it shows that many female students took part in the data collection, which
makes sense as the female gender tends to lean more towards the language subjects. In addition,
it is also wise to note that the percentage between male and female is almost 50/50, showing that
both genders have the same access to the education.
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Modality
The modality of the study was divided into three distinctions, and based on the analysis,
modality 1 had 31.6% of the 250 respondents (or 79 students), modality 2 had 34.8% of the
respondents (or 87 students), and modality 3 had 33.6% for those that selected this modality out
of the three choices (or 84 students).
The relation and presentation of the distribution of the three learning modalities among the 250
students that were part of this study are shown in the graph below.
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Statistical Analysis
After the preliminary findings on the breakdown of gender and modality, a test statistical
analysis was conducted, and results are shown in the table below.
Out of the 250 responses recorded, case had a mean value of 125.5, with the subject of Science
holding a mean value of 0.83554, Mathematics with a mean value of 0.85140, and English with a
mean value of 0.84953. Modality has a mean of 2.02, which means that majority of the students
observed had the selection of at least two subjects. The standard deviation, variance, and mean
standard deviation were also analyzed and results were recorded in the table above.
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Information for case was taken from the table and then presented on a graph. The mean
recorded was 125.5, standard deviation was 72.313, and the graph’s run is shown as generally
stable, showing that little deviation was observed. The frequency is above 10 between 0 to 50,
with few cases striking past 12.5.
Science is observed to have a mean value of 0.83554 (or rounded to 0.836) with a
standard deviation of 0.083037 (or rounded to 0.083), based on the total response of the 250
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respondents. The distribution trend across the responses is seen as curvy, where the top two
frequencies being past 30. However, the majority lies below the 10-mark frequency.
Mathematics has a mean of 0.85140 (or rounded to 0.851) with a standard deviation of
0.076977 (or rounded to 0.077) from the 250 respondents. Only one bar is seen above the 30-
mark for frequency, as the other responses are observed to be below the 20 and 10-mark
frequencies.
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English, which is the focus of the research, has a mean of 0.84953 (or rounded to 0.850)
with a standard deviation of 0.093905 (or rounded to 0.094) from the 250 respondents. The
frequency distribution for English is dominant below the 30-mark with few seen above the 30-
mark.
The correlation between both genders of the subjects shows that gender is significant to
Science, with a significant value of 0.031 less than 0.05. The subjects of English and Math have
a significant value of 0.849 and 0.794, both of which are values greater than 0.05. English is
more significant to the math’s value with a significant value of 0.022, which is less than 0.05. in
this case, English is not of significant difference to Science, as the significant value is 0.220,
which is greater than 0.05. In this case, the hypothesis would be rejected.
Regression
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The regression test for the English score’s significance is rejected, as the R square level
has a value of 0.066 and the adjusted R square value is 0.054. Both values are greater than the
significance level of 0.05, which ultimately means that the null hypothesis of English scores
being significant to the difference in the learning modality is rejected.
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References
Andrews Graham, D. (2019). Benefits of online teaching for face-to-face teaching at historically
black colleges and universities. Online Learning, 23(1), 144-163.
Bandara, D., & Wijekularathna, D. K. (2017). Comparison of student performance under two
teaching methods: Face to face and online. The International Journal of Educational
Research, 12(1), 69-79.
Burgess, O. (2015). Cyborg teaching: The transferable benefits of teaching online for the face-to-
face classroom. Journal of Online Learning and Teaching, 11(1), 136-144.
Crews, T. B., Wilkinson, K., & Neill, J. K. (2015). Principles for good practice in undergraduate
education: Effective online course design to assist students’ success. MERLOT Journal of
Online Learning and Teaching, 11(1), 87-103.
Larson, D. K., & Sung, C. (2009). Comparing student performance: Online versus blended
versus face-to-face. Journal of Asynchronous Learning Networks, 13(1), 31-42.