Research Hypotheses Literature Review
between students ’ grammar mastery and their reading comprehension, the
researcher used the Product-Moment Correlation coefficient formula. Product- Moment Correlation is one technique that is usually used to find out the
significance of the correlation between two variables. This technique was published by Karl Pearson; therefore it is often called as Pearson Correlation
Technique. The next step is analyzing the data. This analyzing is done in order to
know whether there is significance correlation between the students’ grammar
mastery and their reading comprehension at the 6
th
semester of Department of English Education of State Islamic University Syarif Hidayatullah Jakarta.
Then, to find out the result of this study, the researcher used the Pearson Product Moment Correlation formula, as follow:
2
The formula is: �
= �
− �
2 − 2
�
2 − 2
Note: � : Correlation coefficient between the students’ grammar mastery scores
and their reading comprehension scores at the 6
th
semester of Department of English Education of State Islamic University Syarif
Hidayatullah Jakarta � : Number of respondents
: Distribution of students’ grammar mastery scores : D
istribution of Students’ reading comprehension scores ∑X : Total score of students’ grammar mastery scores distribution
∑Y : Total score of students’ reading comprehension scores distribution ∑XY : Total number of multiply between X scores and Y scores
X
2
: Total multiply of X score multiplies X score
2
Budi Susetyo, Statistika untuk Analisis Data Penelitian dilengkapi cara Perhitungan dengan SPSS dan Office Excel, Bandung: PT Refika Aditama, 2010, p. 180.
Y
2
: Total multiply of Y score multiplies Y score
Significant critical value
: 0.05 Criteria:
Rejected Ha when � r
t
Accepted Ha when � r
t
With that formula, the researcher got r coefficient that can describe the correlation between X variable and Y variable, as below:
Tabel 3.1 The Interpretation of Correlation
‘r’ Product Moment
3
r
xy
Interpretation
0.00 – 0.199
The correlation between X variable and Y variable is very weak or can be told there is no correlation between the variables.
0.20 – 0.399 There is weak correlation between X variable and Y variable.
0.40 – 0.699
There is medium correlation between X variable and Y variable.
0.70 – 0.899 There is strong correlation between X variable and Y variable.
0.90 – 1.00
There is very strong correlation between X variable and Y variable.
Then to find out the significant between two variables, the formula of significant test is as follow:
� = �
�−2
1 − �
2
Note: t
count
: t value
3
Sugiyono, Statistika untuk Penelitian, Bandung: Alfabeta, 2007, p. 231.