FRIEDMAN TEST FOR MED AND MAED
Situation:
Twelve (12) Grade 10 learners were taught by three different instructional delivery
modes namely: synchronous, asynchronous and modular instruction. The subjectcases were chosen at random in such a way that they were matched according to age
and mental ability. Their scores in a 200-item test in Mathematics are as follows:
Learner
1
2
3
4
5
6
7
8
9
10
11
12
Synchronous
145
130
150
120
121
129
131
151
89
159
125
126
Asynchronous
134
125
95
132
110
121
125
126
102
60
95
121
Modular Instruction
140
131
120
111
123
119
134
129
110
108
143
112
Null-hypothesis
1. The three methods of instruction do not have differential effects, or
2. There are no significant differences between and among the scores of the
learners exposed under three different instructional methods.
Statistical tool :Since there are more than two (2) related samples (k=3). The data can
be measured along an ordinal scale. The Friedman test can be used:
Steps:
1. Rank the scores in each row from 1 to k=3. In cases of tied observations, the
average of the tied ranks is used for all such observations
2. Determine the sum of ranks Cj in each column (C1 = 29. C2 = 17, C3 = 26)
3. Refer to the attached and pictured sheet)
Activity:
Through random sampling 15 Grade 8 learners were exposed under three different
teaching methods namely: lecture method, individualized instructional method and
modular instructional method. At the end of school year, the subject-cases were given
a 50-item test in abstract reasoning. The scores are as follows:
Learner
Lecture Method
Individualized
Modular
Instructional
Instructional;
Method
Method
1
14
35
14
2
23
43
19
3
26
45
22
4
38
49
27
5
27
43
20
6
32
39
18
7
15
42
19
8
23
43
22
9
25
39
19
10
27
39
20
11
22
41
19
12
20
38
18
13
29
50
21
14
20
43
18
15
29
38
21
Questions:
1. What group performed better?
2. Is there a significant difference between the learners’ scores under each of the three
instructional methods:
3. State your null-hypothesis and test it at the 0.05 level using appropriate statistical
tool
4. Present your data in tabular form. Have a brief discussion of your finding that
includes the testing of your hypothesis
5. Draw a conclusion from your finding and offer at least 2 recommendations