Question

# In a psychiatric study of families of schizophrenic children two Rorshach scores of the mothers (M, and M,)

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 #####

## 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

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