Normality Test Data Analysis
question technique. The writing score of two classes are compared. The experimental class is X variable and the controlled class is Y variable. The writer
calculated the data by using t-test formula. The formula of t test is expressed as follows:
t
o
=
Explanation:
t
o
=
the value of ‘t’ count M
x
= Mean variable of experimental class M
2
y = Mean variable of controlled class
SE
Mx
= Standard error of experimental class SE
My
= Standard error of controlled class Here is the table of the comparison scores between the two classes which is
used for calculating the data by using t-test formula:
Table 4.15 The Comparison of Students’ Gained Score between Students in the
Experimental and Controlled Class No. Experimental
Class X Controlled
Class Y x
X-MX y
Y-MY x²
y²
1 21
18 4.54285714
9 20.63755099
81 2
13 9
-3.45714286 11.95183675
3 24
8 7.54285714
-1 56.89469383
1 4
12 7
-4.45714286 -2
19.86612247 4
5 13
9 -3.45714286
11.95183675 6
13 20
-3.45714286 11
11.95183675 121
7 15
3 -1.45714286
-6 2.123265314
36 8
10 10
-6.45714286 1
41.69469391 1
9 15
3 -1.45714286
-6 2.123265314
36 10
22 10
5.54285714 1
30.72326527 1
11 17
7 0.54285714
-2 0.294693874
4 12
24 14
7.54285714 5
56.89469383 25
The table 4.15 above is useful to the data by using t-test formula. There are several steps to be taken before using t-test formula. They are determining mean,
deviation standard, standard error of mean, standard error of difference of mean, determining t
o,
and determining degrees of freedom. The following is the steps: 1. Determining Mean Variable X:
M
x
=
∑
= =
16.46 2. Determining Mean Variable Y:
M
y
=
∑
= =
9 13
16 13
-0.45714286 4
0.208979594 16
14 17
5 0.54285714
-4 0.294693874
16 15
11 21
-5.45714286 12
29.78040819 144
16 15
3 -1.45714286
-6 2.123265314
36 17
17 3
0.54285714 -6
0.294693874 36
18 22
1 5.54285714
-8 30.72326527
64 19
20 11
3.54285714 2
12.55183671 4
20 11
9 -5.45714286
29.78040819 21
17 4
0.54285714 -5
0.294693874 25
22 22
12 5.54285714
3 30.72326527
9 23
24 9
7.54285714 56.89469383
24 11
14 -5.45714286
5 29.78040819
25 25
11 12
-5.45714286 3
29.78040819 9
26 16
2 -0.45714286
-7 0.208979594
49 27
16 6
-0.45714286 -3
0.208979594 9
28 18
11 1.54285714
2 2.380408154
4 29
19 10
2.54285714 1
6.466122434 1
30 17
5 0.54285714
-4 0.294693874
16 31
20 11
3.54285714 2
12.55183671 4
32 17
16 0.54285714
7 0.294693874
49 33
17 10
0.54285714 1
0.294693874 1
34 12
6 -4.45714286
-3 19.86612247
9 35
11 8
-5.45714286 -1
29.78040819 1
36 4
-5 25
Ƹ 576
324 592.6857143
862 Mean 16.45714286
9 16.93387755 25.8125