T-test and Correlation - Statistics Project Example

T-test and Correlation This paper will analyze difference in the percentage usage of prepositions in writing between native and non native speaker ofEnglish in their texts. For this, 10 texts written by a native speaker of English and another 10 texts written by a non-native speaker of English (Arab writer) in the usage (percentage) of prepositions were collected (table 1).
The research hypothesis is “Is there a difference in the use of prepositions in writing between native and non native speaker of English?”
The null and alternate hypotheses are
H0:µnative = µnon-native
H1:µnative ≠ µnon-native
The selected level of significance, α is 0.05.
The test selected is two-tailed t-test for independent samples (Independent Samples Test) because alternate hypothesis involves not equal to sign (≠).
The average percentage use of prepositions in writing for non-native speaker of English in their text is 38.50 (SD = 6.35). The average percentage use of prepositions in writing for native speaker of English in their text is 38.30 (SD = 4.64). From figure 1, it appears that there is no difference in the use of prepositions in writing between native and non-native speaker of English.
The Levene’s test for equality of variance is not significant, F(1, 18) = 1.90, p = .19 (>.05). Therefore, equal variance can be assumed for t-test.
The null hypothesis H0 is retained. Therefore, there is no difference in the use of prepositions in writing between native and non native speaker of English, t(18) = 0.08, p = .94 (>.05).
Both data set (data set 1 and data set 2) shows no correlation, r(8) = .06, p = .87 (>.05).
In conclusion, data suggest that there is no difference in the usage of prepositions in writing between native and non native speaker of English.
Appendix
Table 1
Percentage use of prepositions in writing
Native speaker of English (Data set 1)
Non-native speaker of English (Data set 2)
34
32
43
42
41
43
35
38
36
45
39
31
39
28
38
37
31
46
47
43
Figure 1: Mean percentage use of prepositions for native and non-native speaker in writing
Table 2
Group Statistics

Native speaker of English
N
Mean
Std. Deviation
Std. Error Mean
Use of prepositions in writing (%)
No
10
38.50
6.346
2.007

Yes
10
38.30
4.644
1.469
Table 3
Independent Samples Test

Levenes Test for Equality of Variances
t-test for Equality of Means

F
Sig.
t
df
Sig.
(2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference








Lower
Upper
Use of prepositions in writing (%)
Equal variances assumed
1.903
.185
.080
18
.937
.200
2.487
-5.025
5.425

Equal variances not assumed


.080
16.491
.937
.200
2.487
-5.059
5.459
Table 4
Correlations

Data Set 1
Data Set 2
Data Set 1
Pearson Correlation
1
.058

Sig. (2-tailed)

.873

N
10
10
Data Set 2
Pearson Correlation
.058
1

Sig. (2-tailed)
.873


N
10
10 Read More