There are 4 treatments, so we have k = 4 and k -1 = degrees of freedom for Treatments. A total of 18 men underwent Treatment 1 giving n, 18. Treatment 2 was made up of 25 men, giving n, = Continuing in this fashion, the sample size of Treatment 3 is na = and the sample size of Treatment 4 is n = The total number of men in the experiment is N =n, + n, + n, + Thus, the degrees of freedom for Error is N - k =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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There are 4 treatments, so we have k = 4 and k - 1 =
degrees of freedom for Treatments.
A total of 18 men underwent Treatment 1 giving n, = 18.
Treatment 2 was made up of 25 men, giving n, =
Continuing in this fashion, the sample size of Treatment 3 is n, =
and the sample size of Treatment 4 is n =
The total number of men in the experiment is N = n, +n, + ng + n4 = |
Thus, the degrees of freedom for Error
N - k =
Transcribed Image Text:There are 4 treatments, so we have k = 4 and k - 1 = degrees of freedom for Treatments. A total of 18 men underwent Treatment 1 giving n, = 18. Treatment 2 was made up of 25 men, giving n, = Continuing in this fashion, the sample size of Treatment 3 is n, = and the sample size of Treatment 4 is n = The total number of men in the experiment is N = n, +n, + ng + n4 = | Thus, the degrees of freedom for Error N - k =
The values in the column for the degrees of freedom are based on the number of k population means, or treatments, and the total number of observations, N. In the sum of squares column, SSTr represents a measure of differences among the sample means. The value of SSE is a measure of variability within the k samples.
Note that the values in the mean square column are calculated based on the sum of squares and degrees of freedom for the treatments row and error row. These mean square values are then used to calculate the F test statistic. The P-value is based on the F test statistic with k - 1 numerator degrees of freedom and N -
denominator degrees of freedom.
k
The given data are below.
Treatment 1
Treatment 2
Treatment 3
Treatment 4
9
5
2
5
6
6.
1
5
14
6
1
4
2
1
5
4
9
1
12
3
4
2
6
5
5
14
3
3
3
3
15
6
5
7
3
4
11
11
5
10
9
1
10
Transcribed Image Text:The values in the column for the degrees of freedom are based on the number of k population means, or treatments, and the total number of observations, N. In the sum of squares column, SSTr represents a measure of differences among the sample means. The value of SSE is a measure of variability within the k samples. Note that the values in the mean square column are calculated based on the sum of squares and degrees of freedom for the treatments row and error row. These mean square values are then used to calculate the F test statistic. The P-value is based on the F test statistic with k - 1 numerator degrees of freedom and N - denominator degrees of freedom. k The given data are below. Treatment 1 Treatment 2 Treatment 3 Treatment 4 9 5 2 5 6 6. 1 5 14 6 1 4 2 1 5 4 9 1 12 3 4 2 6 5 5 14 3 3 3 3 15 6 5 7 3 4 11 11 5 10 9 1 10
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