Homework Help is Here – Start Your Trial Now!
Math
Statistics
Choose the options that would create a true statement. In this study, there                             [ Select ]                          ["was no", "was"]            replication, and there                             [ Select ]                          ["was no", "was a"]            balanced design.

Choose the options that would create a true statement. In this study, there                             [ Select ]                          ["was no", "was"]            replication, and there                             [ Select ]                          ["was no", "was a"]            balanced design.

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

Choose the options that would create a true statement.

In this study, there                             [ Select ]                          ["was no", "was"]            replication, and there                             [ Select ]                          ["was no", "was a"]            balanced design.

Data from "Statistics For Experimenters" by Box Hunter Hunter, 1978. The data “... appear in a paper by Box and Cox (1964). These are survival times of groups of four animals randomly allocated to three poisons and four treatments. The experiment was part of an investigation to combat the effects of certain toxic agents. This arrangement is called a 3 x 4 factorial design and is replicated four times." The aim here is to see how the different poisons and medications affect survival times. Survival time is measured in ten-hours. Use the information provided below to answer the SURVIVAL TIMES questions that follow. Two-way Anova: SURVIVAL TIMES (DATA) MEDICATIONS D Means 0.31 0.82 0.43 0.45 0.45 1.1 0.45 0.71 0.6175 0.46 0.88 0.63 0.66 0.43 0.72 0.76 0.62 0.36 0.92 0.44 0.56 0.29 0.61 0.35 1.02 II 0.5444 0.4 0.49 0.31 0.71 0.23 1.24 0.4 0.38 0.22 0.3 0.23 0.3 0.21 0.37 0.25 0.36 II 0.2763 0.18 0.38 0.24 0.31 0.23 0.29 0.22 0.33 Means 0.3142 0.6767 0.3925 0.5342 0.4794 SNOSIOD
Transcribed Image Text:Data from "Statistics For Experimenters" by Box Hunter Hunter, 1978. The data “... appear in a paper by Box and Cox (1964). These are survival times of groups of four animals randomly allocated to three poisons and four treatments. The experiment was part of an investigation to combat the effects of certain toxic agents. This arrangement is called a 3 x 4 factorial design and is replicated four times." The aim here is to see how the different poisons and medications affect survival times. Survival time is measured in ten-hours. Use the information provided below to answer the SURVIVAL TIMES questions that follow. Two-way Anova: SURVIVAL TIMES (DATA) MEDICATIONS D Means 0.31 0.82 0.43 0.45 0.45 1.1 0.45 0.71 0.6175 0.46 0.88 0.63 0.66 0.43 0.72 0.76 0.62 0.36 0.92 0.44 0.56 0.29 0.61 0.35 1.02 II 0.5444 0.4 0.49 0.31 0.71 0.23 1.24 0.4 0.38 0.22 0.3 0.23 0.3 0.21 0.37 0.25 0.36 II 0.2763 0.18 0.38 0.24 0.31 0.23 0.29 0.22 0.33 Means 0.3142 0.6767 0.3925 0.5342 0.4794 SNOSIOD
Two-way Anova: SURVIVAL TIMES (EXCEL OUTPUT) Anova: Two-Factor SUMMARY A B Total Count 4 4 4 4 16 Sum 1.65 3.52 2.27 2.44 9.88 Average 0.4125 0.88 0.5675 0.61 0.6175 Variance 0.004825 0.02586667 0.02455833 0.01273333 0.04386 Count 4 4 4 4 16 Sum 1.28 3.26 1.5 2.67 8.71 Average 0.32 0.815 0.375 0.6675 0.544375 Variance 0.00566667 0.1131 0.00323333 0.073425 0.08373292 Count 4 4 4 16 Sum 0.84 1.34 0.94 1.3 4.42 Average 0.21 0.335 0.235 0.325 0.27625 Variance 0.00046667 0.00216667 0.00016667 0.0007 0.00387833 Total Count 12 12 12 12 Sum 3.77 8.12 4.71 6.41 Average 0.31416667 0.67666667 0.3925 0.53416667 Variance 0.01046288 0.10293333 0.02789318 0.04815379 ANOVA Source of Variation S df MS F P-value F crit Sample 1.0330125 0.51650625 2 23.2217366 3.3314E-07 3.259446306 Columns 0.92120625 3 0.30706875 13.8055824 3.7773E-06 2.866265557 Interaction 0.2501375 0.04168958 1.87433264 0.11225061 2.363750958 Within 0.800725 36 0.02224236 Total 3.00508125 47
Transcribed Image Text:Two-way Anova: SURVIVAL TIMES (EXCEL OUTPUT) Anova: Two-Factor SUMMARY A B Total Count 4 4 4 4 16 Sum 1.65 3.52 2.27 2.44 9.88 Average 0.4125 0.88 0.5675 0.61 0.6175 Variance 0.004825 0.02586667 0.02455833 0.01273333 0.04386 Count 4 4 4 4 16 Sum 1.28 3.26 1.5 2.67 8.71 Average 0.32 0.815 0.375 0.6675 0.544375 Variance 0.00566667 0.1131 0.00323333 0.073425 0.08373292 Count 4 4 4 16 Sum 0.84 1.34 0.94 1.3 4.42 Average 0.21 0.335 0.235 0.325 0.27625 Variance 0.00046667 0.00216667 0.00016667 0.0007 0.00387833 Total Count 12 12 12 12 Sum 3.77 8.12 4.71 6.41 Average 0.31416667 0.67666667 0.3925 0.53416667 Variance 0.01046288 0.10293333 0.02789318 0.04815379 ANOVA Source of Variation S df MS F P-value F crit Sample 1.0330125 0.51650625 2 23.2217366 3.3314E-07 3.259446306 Columns 0.92120625 3 0.30706875 13.8055824 3.7773E-06 2.866265557 Interaction 0.2501375 0.04168958 1.87433264 0.11225061 2.363750958 Within 0.800725 36 0.02224236 Total 3.00508125 47
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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