Homework Help is Here – Start Your Trial Now!
Math
Statistics
To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Medium 8.54 Low High 9.19 9.72 9.67 9.32 11.11 8.15 8.76 14.45 6.75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ +a; + Eij, i = 1,2, 3; j = 1, .,5, where a1 + a2 + az = 0 and ɛij ~ N(0,0²) independently. Define X;. = }E}=1 Xij for i= 1,2, 3, X. - Σ Σ Xj, and sS(E) Σ Σ(Xj-X. 2. Lj=1 Some R output that may help. > p1 <- c(0.01, 0.025, 0. 05, 0.1, 0.9, 0.95, 0.975, 0.99) > qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 0.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 0.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.07 0.115 0.192 2.522 3.344 4.242 5.564 (a) Complete the following ANOVA table for the model. Source df SS MS F Worker Error Total 45.293

To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Medium 8.54 Low High 9.19 9.72 9.67 9.32 11.11 8.15 8.76 14.45 6.75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ +a; + Eij, i = 1,2, 3; j = 1, .,5, where a1 + a2 + az = 0 and ɛij ~ N(0,0²) independently. Define X;. = }E}=1 Xij for i= 1,2, 3, X. - Σ Σ Xj, and sS(E) Σ Σ(Xj-X. 2. Lj=1 Some R output that may help. > p1 <- c(0.01, 0.025, 0. 05, 0.1, 0.9, 0.95, 0.975, 0.99) > qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 0.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 0.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.07 0.115 0.192 2.522 3.344 4.242 5.564 (a) Complete the following ANOVA table for the model. Source df SS MS F Worker Error Total 45.293

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Low Medium High 9.72 8.54 9.19 9.67 9.32 11.11 8.15 8.76 14.45 75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ+ a; + Eij, i = 1,2, 3; j = 1,..., 5, where a1 + a2 + a3 = 0 and ɛij ~ N(0,0²) independently. Define X; = }E Xij for i = 1,2, 3, X. = EE;=1 Xij, and SS(E) = D-ı E;=1(Xij – X¡.)². vi=1 -j=1 Some R output that may help. > p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, 0.975, 0.99) > qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 O.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 O.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.070 0.115 0. 192 2.522 3.344 4.242 5.564 (a) Complete the following ANOVA table for the model. Source df SS MS F Worker Error Total 45.293
Transcribed Image Text:To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Low Medium High 9.72 8.54 9.19 9.67 9.32 11.11 8.15 8.76 14.45 75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ+ a; + Eij, i = 1,2, 3; j = 1,..., 5, where a1 + a2 + a3 = 0 and ɛij ~ N(0,0²) independently. Define X; = }E Xij for i = 1,2, 3, X. = EE;=1 Xij, and SS(E) = D-ı E;=1(Xij – X¡.)². vi=1 -j=1 Some R output that may help. > p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, 0.975, 0.99) > qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 O.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 O.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.070 0.115 0. 192 2.522 3.344 4.242 5.564 (a) Complete the following ANOVA table for the model. Source df SS MS F Worker Error Total 45.293
Expert Solution
steps

Step by step

Solved in 3 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS