The image shows a section of an ANOVA (Analysis of Variance) table from a completely randomized experimental design with 11 experimental units for each of 3 treatments. The table is partially filled with some sections marked with check and cross symbols, indicating correctness of entries:| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F ||----------------------|----------------|--------------------|-------------|-------|| Between Treatments | 1,200 | 2 | 600 | 1.25 (incorrect) || Within Treatments | 4,800 | 10 (incorrect) | 480 | || Total | 6,000 | 12 (incorrect) | | |### Explanation of Terms:- **Between Treatments**: Variation due to the effect of different treatments.- **Within Treatments**: Variation within the same treatment group.- **Total**: Sum of the variations between and within treatments.### Comments on the Table:- The sum of squares for "Between Treatments" is 1,200, and for "Within Treatments" is 4,800, leading to a total sum of squares of 6,000.- Degrees of freedom for "Between Treatments" is correctly entered as 2. The incorrect indications suggest the other degrees of freedom need verification.- Mean Square is calculated as Sum of Squares divided by its corresponding Degrees of Freedom. For "Between Treatments," it is correctly calculated as 600.- The F-statistic is highlighted as incorrect, suggesting a recalculation may be necessary based on the corrected degrees of freedom.This table is a fundamental part of statistical analysis in experimental research, helping determine if there are any statistically significant differences among treatment means.

Answered: Image /qna-images/answer/8977e285-f874-4b5b-bc72-c02dd2e24c19.jpg

Answered: In a completely randomized experimental…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11MCQ

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
What is an experiment?
Describe a scenario where a researcher could use an F-test for the equality of two variances to answer a research question.
What correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table?
A social psychologist is interested in knowing whether people are more aggressive if they are in the presence of a weapon, such as a gun Treatment Condition- T1, as compared to when they are in a room with an innocuous item such as a tennis racket Control Condition-T2. The study used one sample of 17 college students and had all of the students in the sample participate in both treatment conditions. The mean of the difference scores was 18.0 and the variance (s2) was 612. An alpha level of .01 was set. Calculate the t. A 3.000 B 2.780 C 2.152 D 1.765
A researcher is interested whether a new drug is effective in changing patients' cholesterol levels. She divided 33 patients into 3 groups according to the dosage the patient received. The cholesterol levels of all patients are measured and used as the data for the Analysis of Variance (ANOVA). If she reported the test statistic F = 2.1 What is the degree of freedom for the numerator of the F statistic? What is the degree of freedom for the denominator of the F statistic? What is the P-value of the F-test? (Round to 3 decimals) Given the significance level of 0.01, what can she conclude from the test? *The patients in differnt groups have simliar average cholesterial levels. The drug made no difference. *At least one group of patients have an average cholesterol level that is different from the other groups. The drug may have an effect.
A pharmaceutical company conducted a study to test the effect of a new high blood medication. The company selected 15 subjects from a population. Each subject was randomly assigned to one of three treatment groups equally (i.e. each group consists of five subjects): Group 1 (10mg/day), Group 2 (50mg/day) and Group 3 (100mg/day). After 30 days, doctors measured the blood pressure of each subject. Summary of Analysis of Variance table is shown in Table 3. Table 3 Sum of Degree of Freedom Mean Source F Square Squares (i) Treatments (iv) 320 3.98 (ii) (iii) (v) (vi) Error (vii) Total (a) Calculate the value for (i)-(vii) from the above table. (b) Conduct a hypothesis test to test whether all treatment groups have the same mean using a 5% level of significance.
Students in one class are asked to complete the same questionnaire 3 times throughout the semester: at the beginning, at the midterm, and at the end. The purpose of the questionnaire is to track students' perception of their progress at different points in the semester. Scores at Time 1 (beginning of the semester), Time 2 (midterm), and Time 3 (end of semester) are compared against one another. What type of analysis of variance would be appropriate for examining the results from this dataset?
The F-statistic is a ratio score resulting in a measure of the estimated proportion of variance due to the independent variable. True or false
Look at the MS Excel file (titled “Easy_Tough”) available in the Blackboard. This file carries data about average MathSAT scores of 297 colleges and universities located in the USA and they are all classified into two groups of colleges and universities. One group of institutions are tough to graduate for students and another group of institutions are easy to graduate for students. Using MS Excel, perform analysis of variance test to examine whether the mean MathSAT score between these two groups are same or not. this is the data on excel Easy to graduate colleges Tough to graduate colleges 547 495 550 526 451 480 470 533 617 429 554 529 524 568 620 550 650 535 519 506 486 540 494 509 513 459 615 526 524 377 525 543 608 490 537 513 550 466 520 544 540 502 497 480 520 531 533 470 455 400 525 494 603 395 578 445 459 460 525 372 575 504 564 480 509 520 530 542 670 522 590 440 590 510 532 419 585 330 514…
How to Reconstruct the Variance step by step?
what happens to the F-statistic if two variances are different?

SEE MORE QUESTIONS

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

SEE MORE TEXTBOOKS