There are 4 treatments, so we have k4 and k-1- A total of 18 men undenvent 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, - Thus, the degrees of freedom for Error is N-k=[ degrees of freedom for Treatments. and the sample size of Treatment 4 is n The total number of men in the experiment is N

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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-k denominator degrees of freedom.
The given data are below.
Treatment 1
Treatment 2
Treatment 3
Treatment 4
9
5
2
5
6
9
6
1
3
1
5
14
2
0
9
12
0
2
5
7
3
15
6
5
11
The total number of men in the experiment is N = n₁ + 1₂₁ + 73
0
4
8
9
5
1
6
9
9
7
14
8
0
5
3
11
7
5
10
9
5
0
4
0
4
3
3
6
6
3
0
7
1
10
There are 4 treatments, so we have k = 4 and k - 1 =
A total of 18 men underwent Treatment 1 giving n₁ = 18.
Treatment 2 was made up of 25 men, giving n₂ =
Continuing in this fashion, the sample size of Treatment 3 is n3 =
Thus, the degrees of freedom for Error is N - k =
7
1
0
0
4
2
1
2
3
3
degrees of freedom for Treatments.
and the sample size of Treatment 4 is n₁ =
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-k denominator degrees of freedom. The given data are below. Treatment 1 Treatment 2 Treatment 3 Treatment 4 9 5 2 5 6 9 6 1 3 1 5 14 2 0 9 12 0 2 5 7 3 15 6 5 11 The total number of men in the experiment is N = n₁ + 1₂₁ + 73 0 4 8 9 5 1 6 9 9 7 14 8 0 5 3 11 7 5 10 9 5 0 4 0 4 3 3 6 6 3 0 7 1 10 There are 4 treatments, so we have k = 4 and k - 1 = A total of 18 men underwent Treatment 1 giving n₁ = 18. Treatment 2 was made up of 25 men, giving n₂ = Continuing in this fashion, the sample size of Treatment 3 is n3 = Thus, the degrees of freedom for Error is N - k = 7 1 0 0 4 2 1 2 3 3 degrees of freedom for Treatments. and the sample size of Treatment 4 is n₁ =
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