A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.Source ofVariationFactor AFactor BInteractionErrorTotalSum ofSquaresXXTest for any significant main effects and any interaction. Use α = 0.05. Round Sum of Squares to the whole number, F value, Mean Square to two decimals, if necessary,and p-value to four decimals.Degrees ofFreedom122611Factor A✔Level 1Level 2XMean Square F valueLevel 1145185125115Factor BLevel 211046p-value137105Level 395103120116ConclusionNot significantNot significantNot significant

The given information is,Two factor A and B with different levels.α=0.05

Answered: A factorial experiment involving two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A one-way Analysis of Variance (ANOVA) was used to examine whether students’ scores on a standardized test is a function of the teaching method they received (either lecture only, hands-on learning only, or both together). The ANOVA was significant. Run post hoc tests (by hand!) to determine which pairs of the mean are significantly different. Do the math for each and then explain in what way are they different. Method N Mean SD Source df SS MS F Lecture Only 15 82.8 9.59 Between 2 736.53 368.27 5.34 Hands-On Only 15 88.53 8.73 Within 42 2895.47 68.94 Both 15 92.67 6.22 Total 44 3632 Total 45 88
Below is the incomplete summary table for an ANOVA. Source SS df MS F Factor A 420 ? ? ? Error ? 21 ? Total 744 23 2a. Fill out the missing value for each cell with a “?” in the table above. 2b. How many levels of the independent variable are there? _____ 2c. at alpha=.05, Fcrit = 2d. How many participants are there is the study? ______
A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey. Local FOX CNN 44 55 65 46 62 65 32 24 49 22 67 52 23 63 59 38 63 57 26 18 37 38 29 41 The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is αα Base on this, we should hypothesis As such, the final conclusion is that... There is sufficient evidence to support the claim that station is a factor in the amount of time people watch the news. There is insufficient evidence to support the claim that station is a factor in the amount of time people watch the news.
The following table was generated from the sample data of 10 college students regarding the number of parking tickets the student receives in a semester, the student's age, and the student's GPA. The dependent variable is the student's GPA, the first independent variable (x1) is the number of parking tickets, and the second independent variable (x2) is the student's age. Coefficients Standard Error p-value t-Stat Intercept 9.846834 1.636494 6.017030 0.000533 Number of Parking Tickets -0.190967 0.037496 -5.093039 0.001410 Student's Age -0.324988 0.084657 - 3.838877 0.006384 Copy Data Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places. 田 Tables E Keypad Answer How to enter your answer (opens in new window) Keyboard Shortcuts X +
Mm3
A medical researcher wants to test whether the mean cholesterol levels are the same for 3 treatment groups of subjects (with 18 total randomly selected subjects): those who take a new medication, those who follow a diet, and those who make no changes to medication or diet. They plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance table. Use it to answer the following questions deg of freedom Sum of Squares Mean Square F statistic Treatment Group 3.121 1.5607 Error 1.517 0.1011 Total 17 What are the degrees of freedom for the treatment groups? What are the degrees of freedom for the error? What is the F-statistic for this data (3 decimal places)
2. Listed below is the output from an ANOVA of data from a 4X3 (4 levels of Factor A, 3 levels of Factor B) design (n = 4 per cell). Fill in the missing info for degrees of freedom, mean square, and F columns. Interpret results. Type II Sum of Source Squares Mean Square Fobs Sig? Y/N df Essi. a 20.917 b 33.792 a*b 13.208 Error 104.000 36
A two-factor analysis of variance produces an F-ratio for factor A that has df = 2, 22. This analysis is comparing ____ different levels of factor A.
What is the value of n (the number of observations)? What is the value of Se (standard error for the model) (2 decimals)? What is the average of the x variable (2 decimals)? What is the variance of the x variable (1 decimal)?
What occurs when the different levels of one factor affect the different levels of another factor differently? unplanned variance repeated measures statistical interaction intended consequences
Which of the following correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table? Select one. explained variance + unexplained variance total variance unexplained variance total variance total variance explained variance total variance

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