The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 282, SSA = 27, SSB = 21, SSAB = 175. Set up the ANOVA table. (Round your values for mean squares and F totwo decimal places, and your p-values to three decimal places.)SourceSumDegreesof FreedomMeanFp-valueof Variationof SquaresSquareFactor AFactor BInteractionErrorTotalTest for any significant main effects and any interaction effect. Use a = 0.05.Find the value of the test statistic for factor A. (Round your answer to two decimal places.)Find the p-value for factor A. (Round your answer to three decimal places.)p-value =State your conclusion about factor A.O Because the p-value s a = 0.05, factor A is significant.O Because the p-value > a = 0.05, factor A is significant.O Because the p-value > a = 0.05, factor A is not significant.O Because the p-value sa = 0.05, factor A is not significant.Find the value of the test statistic for factor B. (Round your answer to two decimal places.)Find the p-value for factor B. (Round your answer to three decimal places.)p-value =State your conclusion about factor B.O Because the p-value s a = 0.05, factor B is not significant.O Because the p-value > a = 0.05, factor B is significant.O Because the p-value > a = 0.05, factor B is not significant.O Because the p-value s a = 0.05, factor B is significant.Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)p-value =State your conclusion about the interaction between factors A and B.O Because the p-value > a = 0.05, the interaction between factors A and B is not significant.

Given data : SST = 282SSA = 27SSB = 21SSAB = 175

Answered: The calculations for a factorial…

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

Similar questions

An elementary school teacher is interested in knowing if there is a significant difference in the average reading speed of fifth-grade boys and girls. She randomly selects 36 fifth grades boys and 36 fifth grade girls for the study. Each student is given several pages of the same book to read and the time it takes them to complete the reading is recorded in minutes. Boys Girls Sample Size 36 36 Sample Mean reading speed (in minutes) 11 12 Population Variance 3 2 The p-value is a. 0.156 b. 0.0037 c. 0.336 d. 0.238
A hypertension trial is mounted and 12 participants are randomly assigned to receive either a new treatment or a placebo. Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment. The data are as follows. Placebo New Treatment 132 114 143 119 148 121 144 124 155 126 160 128 Is there a difference in mean SBP between treatments? Run the test at a 5% level of significance. Give each of the following to receive full credit : 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic ; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
work shown would be so appreciated!
A consumer magazine wants to compare the lifetimes of ballpoint pens of three different brands (measured in days). The magazine takes a random sample of pens of each type in the following table. What is the correct test statistic? Brand 1 Brand 2 Brand 3 382 181 238 242 140 257 216 162 241 319 218 213 a. F (2, 9) = 5.54 b.r = -.34 c. t (11) = 12.16 d.p = .027
A plant pathologist wants to compare two strains of bacteria in terms of its reproduction rate. Test of normality showed that the two samples have heterogeneous variances. Which of the following would you advise the plant pathologist to conduct? A. t-test B. Mann Whitney C. Kruskal Wallis test . D Anova F-test
Second slide is the first part of the question and first slide is the second part of the question.
Mm3
In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, what is the degrees of freedom for treatments? a. 5 b. 2 c. 4 d. 8
What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2
Degrees of Sum of Source Freedom Squares Square (Variance) Among c-1=? SSA=? MSA = 69 Consider an experiment with three groups, with nine values in each. For the ANOVA summary table shown to the right, fill in all Within the missing results. groups groups Total n-c=? SSW = 552 n-1=? SST = ? Complete the ANOVA summary table below. Degrees of Sum of Source Freedom Squares Among groups c-1= SSA= Within groups n-ca Total n-1= (Simplify your answers.) SSW = 552 SST Mean Square (Variance) MSA = 69 MSW= Mean MSW = ? F FSTAT F FSTAT = ? ***
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 278, SSA = 27, SSB = 24, SSAB = 174. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Sourceof Variation Sumof Squares Degreesof Freedom MeanSquare F p-value Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use ? = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Test statistic=?? Find the p-value for factor A. (Round your answer to three decimal places.) p-value = ?? State your conclusion about factor A. -Because the p-value ≤ ? = 0.05, factor A is not significant.- Because the p-value ≤ ? = 0.05, factor A is significant. -Because the p-value > ? = 0.05,…
The age of first marriage for women who responded to a survey by the CDC between 2006 and 2010 is used here. The women who first married in their twenties were randomly divided into three groups: A, B, and C. The ANOVA output is supplied below: Count NAS (Missings) 3773 group Count A 1288 B 1246 C 1239 Frequency Source DF 2 group Residual 3770 28 26 24 Response Variable (age) Summary Mean 22 20 T 0 Group Variable Summary NAS Mean (Missings) 23.73787 A 0 23.76941 0 23.77929 0 23.66344 ANOVA Table: age-group Sum of Squares 10.283 26969 Mean Square Std. Dev. Std. Dev. 2.674442 B F Value Pr>F MSG 0.71875 0.48743 MSE Age of First Marriage in 20's 2.728097 2.664101 2.628699 C

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS