MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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From each subgroup of the 12-year-old age group, 7 patients were randomly selected, and they were treated with medications A, B, C, D, E, F, and G. At the end of the treatment, patients who responded positively to the treatment were evaluated as "1," and those who did not respond positively were evaluated as "0." Please interpret the SPSS output.
![### SPSS Output and Statistical Analysis
#### Study Description:
A randomized trial was conducted involving children aged 12 years. Seven patients from this age group were selected for each of the treatments labeled A, B, C, D, E, F, and G. After the treatment, the patient responses were categorized as follows: a positive response to the treatment was recorded as "1," and a lack of positive response was recorded as "0." The SPSS output is provided below, and it must be interpreted.
#### Test Statistics
The table summarizes the output of Cochran's Q test conducted in SPSS:
- **Number of Samples (N):** 12
- **Cochran's Q:** 12.794(a)
- **Degrees of Freedom (df):** 6
- **Asymptotic Significance (Asymp. Sig.):** 0.046
- **Exact Significance (Exact Sig.):** 0.046
- **Point Probability:** 0.009
\[ rQ(D_i, D) = \sum_{j=1}^{n} S \left[ |D_i - D_j| \right] \]
\[ f_{X_{(j)}}(x) = \frac{n!}{(j-1)!(n-j)!} f(x) \left[ F(x) \right]^{j-1} \left[ 1 - F(x) \right]^{n-j} \]
\[ f_{X_{(i)}, X_{(j)}}(x, y) = \frac{n!}{(j-1)!(j-i-1)!(n-j)!} f(x) f(y) \left[ F(x) \right]^{j-1} \left[ F(y) - F(x) \right]^{j-i-1} \left[ 1 - F(y) \right]^{n-j} \]
\[ F_{X_{(n)}}(x) = \left[ F(x) \right]^n \]
\[ F_{X_{(1)}}(x) = 1 - \left[ 1 - F(x) \right]^n \]
\[ f_{X_{(1)}, X_{(2)}, \ldots, X_{(n)}}(x_1, \ldots, x_n) = \begin{cases}
n! \](https://content.bartleby.com/qna-images/question/6ea1f414-2cfa-4d12-9b16-9c9fcbba0754/4b3b3131-a13b-4c4a-9139-f0df995c5a36/mqazrig_processed.png)
Transcribed Image Text:### SPSS Output and Statistical Analysis
#### Study Description:
A randomized trial was conducted involving children aged 12 years. Seven patients from this age group were selected for each of the treatments labeled A, B, C, D, E, F, and G. After the treatment, the patient responses were categorized as follows: a positive response to the treatment was recorded as "1," and a lack of positive response was recorded as "0." The SPSS output is provided below, and it must be interpreted.
#### Test Statistics
The table summarizes the output of Cochran's Q test conducted in SPSS:
- **Number of Samples (N):** 12
- **Cochran's Q:** 12.794(a)
- **Degrees of Freedom (df):** 6
- **Asymptotic Significance (Asymp. Sig.):** 0.046
- **Exact Significance (Exact Sig.):** 0.046
- **Point Probability:** 0.009
\[ rQ(D_i, D) = \sum_{j=1}^{n} S \left[ |D_i - D_j| \right] \]
\[ f_{X_{(j)}}(x) = \frac{n!}{(j-1)!(n-j)!} f(x) \left[ F(x) \right]^{j-1} \left[ 1 - F(x) \right]^{n-j} \]
\[ f_{X_{(i)}, X_{(j)}}(x, y) = \frac{n!}{(j-1)!(j-i-1)!(n-j)!} f(x) f(y) \left[ F(x) \right]^{j-1} \left[ F(y) - F(x) \right]^{j-i-1} \left[ 1 - F(y) \right]^{n-j} \]
\[ F_{X_{(n)}}(x) = \left[ F(x) \right]^n \]
\[ F_{X_{(1)}}(x) = 1 - \left[ 1 - F(x) \right]^n \]
\[ f_{X_{(1)}, X_{(2)}, \ldots, X_{(n)}}(x_1, \ldots, x_n) = \begin{cases}
n! \
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