III. In a psychiatric study of families of schizophrenic children two Rorshach scores of the mothers (M, and M,) and fathers ( F, F,) were of particular import. The observed values of these scores for parents of nl=10 psychotic adolescents and n2=10 normal control children of similar age and economic status are given below:
Schizophrenia | control | ||||||
M1 | M2 | F1 | F2 | M1 | M2 | F1 | F2 |
30 | 35 | 25 | 33 | 20 | 15 | 26 | 25 |
21 | 41 | 15 | 21 | 11 | 3 | 18 | 19 |
27 | 32 | 25 | 34 | 7 | 2 | 11 | 8 |
35 | 34 | 31 | 36 | 21 | 15 | 24 | 22 |
20 | 37 | 14 | 21 | 15 | 11 | 17 | 13 |
23 | 38 | 19 | 25 | 13 | 12 | 20 | 15 |
28 | 27 | 26 | 30 | 22 | 13 | 22 | 19 |
32 | 42 | 29 | 37 | 5 | 3 | 9 | 12 |
26 | 36 | 27 | 33 | 21 | 13 | 20 | 19 |
29 | 35 | 24 | 32 | 14 | 12 | 10 | 8 |
Analyze this data.
Performing student t test on test and control would tell us the severity of schizophrenic.
In all the four cases estimated mean value of test group is greater than control group. All the t-test are significant as p < 0.05.
# mean of test group is 2 times the mean of control group
### R Code for t test #####
t_c <-read.csv('t_c.csv')
## M1
t.test(t_c$M1, t_c$M1C)
# Welch Two Sample t-test
#
# data: t_c$M1 and t_c$M1C
# t = 5.0001, df = 17.057, p-value = 0.0001085
# alternative hypothesis: true difference in means is not equal to
0
# 95 percent confidence interval:
# 7.053469 17.346531
# sample estimates:
# mean of x mean of y
# 27.1 14.9
## M2
t.test(t_c$M2, t_c$M2C)
# Welch Two Sample t-test
#
# data: t_c$M2 and t_c$M2C
# t = 12.132, df = 17.471, p-value = 6.101e-10
# alternative hypothesis: true difference in means is not equal to
0
# 95 percent confidence interval:
# 21.32257 30.27743
# sample estimates:
# mean of x mean of y
# 35.7 9.9
## F1
t.test(t_c$F1, t_c$F1C)
# Welch Two Sample t-test
#
# data: t_c$F1 and t_c$F1C
# t = 2.2267, df = 17.968, p-value = 0.03899
# alternative hypothesis: true difference in means is not equal to
0
# 95 percent confidence interval:
# 0.3270459 11.2729541
# sample estimates:
# mean of x mean of y
# 23.5 17.7
## F2
t.test(t_c$F2, t_c$F2C)
# Welch Two Sample t-test
#
# data: t_c$F2 and t_c$F2C
# t = 5.4651, df = 17.993, p-value = 3.436e-05
# alternative hypothesis: true difference in means is not equal to
0
# 95 percent confidence interval:
# 8.741053 19.658947
# sample estimates:
# mean of x mean of y
# 30.2 16.0
In a psychiatric study of families of schizophrenic children two Rorshach scores of the mothers (M, and M,)
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