you read a report stating that correctional officers have very low job satisfaction. you take 3 samples of n=4 correctional officers who work in either a supermax,medium. and minimum security prison and ask them to self-report their level of stress on a 1-20point scale. the data are presented below Supermax: 17, 14, 13, 12, T1=56 SS1=14 meidum: 12, 14, 11, 13, T2=50 SS2=5 Minimum: 10, 8, 13, 9, T3=40 SS3=14 G=146 EX2=1842
This a one factor-ANOVA testing
Supermax | Medium | Minimum |
17 | 12 | 10 |
14 | 14 | 8 |
13 | 11 | 13 |
12 | 13 | 9 |
F - Test Statistic =
= (Variance between the treatments/ No. of treatment - 1)
(Variance between the residual / Total obs. - no. of treatment)
= 32.667 (. is the total of individual treatment scores eg. sum of supermax and is the total of all the scores)
= 33
= 65.667 ( is the sum of individual squares of scores)
Variance | df | SS | MS |
Between | 2 | 32.67 | 16.33 |
Residual | 9 | 33 | 3.667 |
Total | 11 | 65.667 |
F - Stat =
Using 5% level of significance the critical value
F - Stat > Critical Value
Decision : We reject the null hypothesis and conclude that there is a significant different between the level of stress under different level of correctional officers.
you read a report stating that correctional officers have very low job satisfaction. you take 3...