The results of a 40-item objective type test for nineteen teacher-trainees in the subject of ‘Mechanics of Materials’ are given below
|
Sl. No. |
Reg. No. |
Score in odd items |
Score in even items |
Total |
Difference |
|
1 |
263 |
17 |
19 |
36 H |
-2 |
|
2 |
276 |
18 |
18 |
36 |
0 |
|
3 |
270 |
16 |
19 |
35 H |
-3 |
|
4 |
268 |
18 |
17 |
35 |
1 H |
|
5 |
267 |
18 |
17 |
35 |
1 H |
|
6 |
262 |
17 |
17 |
34 H |
0 H |
|
7 |
259 |
16 |
17 |
33 H |
-1 L |
|
8 |
261 |
15 |
17 |
32 H |
-2 L |
|
9 |
258 |
15 |
15 |
30 |
0 L |
|
10 |
274 |
15 |
15 |
30 |
0 |
|
11 |
272 |
15 |
15 |
30 |
0 |
|
12 |
271 |
13 |
16 |
29 |
-3 |
|
13 |
275 |
14 |
13 |
27 |
1 H |
|
14 |
269 |
10 |
16 |
26 |
-6 L |
|
15 |
265 |
11 |
14 |
25 L |
-3 L |
|
16 |
257 |
12 |
11 |
23 L |
1 H |
|
17 |
260 |
11 |
11 |
22 L |
0 |
|
18 |
266 |
9 |
12 |
21 L |
-3 |
|
19 |
273 |
8 |
8 |
16 L |
0 |
H = Highest; L = Lowest
[Source : Data provided by AIU for the participants of Correspondence Course
(Basic Level)].
27% of 19 teacher trainees = 5
Sum of the five highest = 170 4
Sum of the five lowest = 107 -12
----- -----
Difference = 63 16
----- -----
Difference2 = 632 162
(Reliability) ½
= 1 - 162
632
= 1 - 256 = 3969 - 256
3969 3969
= 3713_ = 0.94
3969
Reliability of whole test = 2 x 0.94_ = 1.88_ = .969
1 + 0.94 1.94
i.e., 0.97
B) Kuder Richardson Reliability Coefficient for Essay Type Test
|
Student |
Question 1 |
Question 2 |
Question 3 |
Total out of 30 |
|
A |
6 |
7 |
6 |
19 |
|
B |
4 |
9 |
9 |
22 |
|
C |
3 |
5 |
5 |
13 |
|
D |
5 |
3 |
4 |
12 |
|
E |
2 |
4 |
5 |
11 |
|
F |
9 |
7 |
4 |
20 |
|
|
29 |
35 |
33 |
97 |
K = 3; n = 6; åx = 97;
åx2 = 361 + 484 + 169 + 144 + 121 + 400 = 1679;
åg2 = 841 + 1225 + 1089 = 3155;
åQ2 = 36 + 49 + 36 + 16 + 81 + 81 + 9 + 25 + 25 +
25 + 9 + 16 + 4 + 16 + 25 + 81 + 49 + 16
= 599.
r = K__ 1 - n Q2 - g2_
K-1 n x2 – (x)2
= 3/2 1 - 6 x 599 - 3155_
6s x 1679 – (97)2
= 3/2
1 - 3594 - 3155_ =
3/2 226_
10074 – 9409 665
= 3 x 113_ = 0.51
665
If the number of questions are doubled,
r = 2 x 0.51 = 1.02_ = 0.675
0.51+1 665