X = 3065 Y = 3280
XY = 221550 X = 210625
Y = 240150
r =
=
240150
=
221550
10053200 46
210625
9394225 46
10758400 46
=
221550 218547.8261
[
210625 204222.2826
][
233878.2609
]
=
. [
. ][
. ]
=
. .
=
. .
= 0.47376141
r
o
= 0.474
To make sure the result of the calculation above, the Pearson Product Moment in SPSS statistic program version 22.0 was used to know whether the
calculation that has been calculated manually is correct or not and to make sure that there is no mismatching calculation between score that the writer counted.
The calculation of Pearson Product Moment is described as follows:
Table 4.8 Pearson Product Moment Table
Collocation Reading
Collocation Pearson
Correlation 1
.474 Sig. 2-tailed
.001 N
46 46
Reading Pearson
Correlation .474
1 Sig. 2-tailed
.001 N
46 46
. Correlation is significant at the 0.01 level 2-tailed. The results of those calculations; manual calculation and calculation using
SPSS statistic program version 22.0 are equal, in which the value of r
xy
or r
o
is 0.474. It means that there is no mismatch in the process of calculating the data by
calculating manually or using the SPSS program.
d. Analysis of Determination Coefficient
The contribution of the independent variable x, collocation knowledge towards the dependent variable y, reading comprehension, is investigated
through the determination coefficient r
2
. The result of r
2
can be found through this formula:
R = r
2
x 100 = 0.474
2
x 100 = 0.225 x 100
= 22.5 Note:
R = value of determinant coefficient
r
2
= value of the squared correlation coefficient Based on the result of determination coefficient, the students’ collocation
knowledge contributes to students’ reading comprehension as much 22.5 and the remains 77.5 are given by other variables, for example students’
grammatical knowledge, students’ background knowledge, their physical situation—health or sick, etc.
3. Hypotheses Testing
To test the hypotheses, the correlation coefficient from the calculation r
xy
is compared to correlation coefficient from Product Moment table r
t
. In the term of the statistical hypotheses, these can be portrayed as follows:
1. If r
o
r
t
= H
a
is accepted. There is a relationship between collocation knowledge and reading comprehension.
2. If r
o
r
t
= H
a
is rejected. There is a no relationship between collocation knowledge and reading comprehension.
To find r
xy
or r
o
, the degree of freedom must be determined with the formula: d
f
= N–nr = 46 – 2
= 44 Note:
d
f
= degree of freedom n
= number of cases respondents nr
= number of variables In the table of significance see appendix 10, it shows that the r
t
of a two- tailed test in the significance of 1 and d
f
of 44 is found to be 0.376. Based on the score of r
o
0.474, it indicates that the score of r
o
is higher than r
t
, in which 0.474 0.376. It means that H
a
is accepted; or in other words there is a relationship between collocation knowledge and reading comprehension.
Moreover, the result of t
count
or t
o
is compared to t
table
in order to find the significance of variables. The formula of getting t
count
is presented as follows: Formula:
t
count
=
Description of the formula: t
count
= t
value
r = 0.474
n = 46
Calculation: t
count
= =
. .
=
. .
=
. .
.
=
. .
= 3.570779774 = 3.571
The formulation of test: a. If t
o
t
table
, it means that the null hypothesis is rejected and there is significant relationship between the two variables.
b. If t
o
t
table
, the null hypothesis is accepted and there is no significant relationship between the two variables.
From the table of significance see appendix 11, it is obtained that t
table
of 1 and d
f
= 44 is 2.69228. It indicates that t
o
is higher than t
table
, in which 3.571 2.692. Therefore, the alternative hypothesis Ha is accepted. In other words, there
is a significant relationship between collocation knowledge and reading comprehension.
According to the result of the calculation of Pearson Product Moment above, the value of correlation coefficient r
o
is 0.474. To interpret the gravity of 0.474, the table of “r” product moment shows that the correlation value is on medium
level or moderate level, in which between 0.40—0.59. The medium correlation means that the relationship tends to the positive value and there is no negative
relationship. The table of “r” interpretation was adopted from Jonathan Sarwono’s theory.
Table 4.9 The Interpretation of Correlation Coefficient
Coefficient Interval Degrees of Correlation
0.00—0.19 Very weaklow
0.20—0.39 Weaklow
0.40—0.59 Mediummoderate
0.60—0.79 Strong
0.80—1.00 Very Strong
B. Discussion
Based on the data description of collocation knowledge, it is found that the fourth semester students of Department of English Education in academic year
20152016 commonly have adequate knowledge of collocation, which is indicated by the result of the average score found is 66.63 and the mode score is 65.00.
However, although the students are considered to have adequate knowledge of collocation, there are still many students who have limited knowledge of
collocation. It is shown that the students who got score of collocation knowledge under the mean obtained 66.63 are higher than the students who got score upper
the mean score. It means that the fourth semester students of Department of English Education should learn more about collocation in order to have good
knowledge of collocation since raising awareness of collocation is one of important factors in English Language Learning.
1
Zahra Yazdandoost, et al., The Relationship among Collocation Knowledge and Listening, Speaking, Reading and Writing Proficiency of Iranian EFL Learners, Journal of International
Scientific Publications, vol. 8, 2014, p. 416. Retrieved from
http:www.scientific- publications.netenarticle1000357
.
