Homework SourseA researcher prepares three types of situations to test anxi
A researcher prepares three types of situations to test anxiety among a group of patients being treated for various anxious tendencies. The dependent variable is a paper and pencil anxiety test on an interval level of measurement. Scores can vary from 0 to 40; the higher the score, the greater the measured anxiety. Each patient will receive each condition once.
1. What type of research design is this?
2.What is the null and alternative hypothesis?
3.What is the best type of counterbalancing for this proposal?
4.Conduct the appropriate statistical analysis on SPSS
5.Discuss the results in terms of statistical significance
39
16
10
36
26
10
28
23
13
31
18
16
26
19
13
35
17
6
30
13
5
38
35
34
35
30
20
16
18
26
25
11
10
6
13
16
| 39 | 16 | 10 |
| 36 | 26 | 10 |
| 28 | 23 | 13 |
| 31 | 18 | 16 |
| 26 | 19 | 13 |
| 35 | 17 | 6 |
| 30 | 13 | 5 |
| 38 35 34 35 30 | 20 16 18 26 25 | 11 10 6 13 16 |
Solution
SOl)
a) Here we need to test the homogenity of several means. That is to test anxiety among a group of patients being treated for various anxious tendencies
B)Null hypothesis: All the means of three groups are same
Alternative hypothesis: All the means of three groups are not same
Level of significance: 5%
C) Test statistics: we use ANova one way
From SPSS out put
From Above analysis
D) Conclusion: p value =0.318 and alpha=0.05
Hence p value > alpha, we accept the Null hypothesis.
All the means of three groups are same
| Descriptives | ||||||||
| score | ||||||||
| N | Mean | Std. Deviation | Std. Error | 95% Confidence Interval for Mean | Minimum | Maximum | ||
| Lower Bound | Upper Bound | |||||||
| 1.00 | 3 | 21.6667 | 15.30795 | 8.83805 | -16.3604 | 59.6937 | 10.00 | 39.00 |
| 2.00 | 3 | 24.0000 | 13.11488 | 7.57188 | -8.5792 | 56.5792 | 10.00 | 36.00 |
| 3.00 | 3 | 21.3333 | 7.63763 | 4.40959 | 2.3604 | 40.3062 | 13.00 | 28.00 |
| 4.00 | 3 | 21.6667 | 8.14453 | 4.70225 | 1.4345 | 41.8988 | 16.00 | 31.00 |
| 5.00 | 3 | 19.3333 | 6.50641 | 3.75648 | 3.1705 | 35.4961 | 13.00 | 26.00 |
| 6.00 | 3 | 19.3333 | 14.64013 | 8.45248 | -17.0348 | 55.7014 | 6.00 | 35.00 |
| 7.00 | 3 | 16.0000 | 12.76715 | 7.37111 | -15.7153 | 47.7153 | 5.00 | 30.00 |
| 8.00 | 3 | 35.6667 | 2.08167 | 1.20185 | 30.4955 | 40.8378 | 34.00 | 38.00 |
| 9.00 | 3 | 28.3333 | 7.63763 | 4.40959 | 9.3604 | 47.3062 | 20.00 | 35.00 |
| 10.00 | 3 | 20.0000 | 5.29150 | 3.05505 | 6.8552 | 33.1448 | 16.00 | 26.00 |
| 11.00 | 3 | 15.3333 | 8.38650 | 4.84195 | -5.4999 | 36.1665 | 10.00 | 25.00 |
| 12.00 | 3 | 11.6667 | 5.13160 | 2.96273 | -1.0809 | 24.4143 | 6.00 | 16.00 |
| Total | 36 | 21.1944 | 10.09050 | 1.68175 | 17.7803 | 24.6086 | 5.00 | 39.00 |
