Explain how the F distribution is constructed by combining two chi squared distributions. What are the properties of the F distribution? Explain what are the objectives of ANOVA and how it is formulated. What are the underlying assumptions? What is the sum of the squares of errors and mean sum of squares of errors in ANOVA? What is the test statistic in ANOVA? What is the criterion for rejecting the null hypothesis? How the p value is determined in ANOVA? Provide a hypothetical example of ANOVA formulation.What is the objective of the Fisher’s post-hoc test? How is it formulated? Are they non-directional or directional tests? What is the test statistic in Fisher’s test? What are the expected outcomes of the Fisher’s test? Please be sure to include in-text citations and peer reviewed references in APA format

Progress CheckUse this activity to assess whether you and your peers can: Use a given margin of error to find and interpret the 95% confidence interval.Learn by DoingUse the rubric at the bottom of this page as a guide for completing this assignment.DirectionsSubmit your work:Carefully read all sections below (beginning with the Context section and ending with the Prompt section).Commit a good-faith effort to address all items in the Prompt section below. Please be sure to number your responses.Complete your assigned peer reviews:After you submit your initial good-faith attempt, continue to the ANSWER(S) page and review your instructor's response. But please do not submit your corrected work yet.Within three days after the due date, return to this assignment and complete your assigned peer reviews (directions (Links to an external site.)).Submit your corrected work:We all learn from mistakes (our own and our classmates' mistakes). So please do not immediately correct your own mistakes. If possible, wait until you receive feedback from at least one of your peers. If necessary, correct your work and resubmit the entire assignment. Your instructor will only review and grade your most recent submission, so please do not refer to a previous submission.ContextA Gallup poll conducted in November of 2011 asked the following question, “What would you say is the most urgent health problem facing this country at the present time?” The choices were access, cost, obesity, cancer, government interference, or the flu. The responses were access (27%), cost (20%), obesity (14%), cancer (13%), government interference (3%), or the flu (less than 0.5%).The following is an excerpt from the Survey Methods section. “Results for this Gallup poll are based on telephone interviews conducted Nov. 3-6, 2011, with a random sample of 1,012 adults ages 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on a total sample of national adults, one can say with 95% confidence that the maximum margin of sampling error is ±4 percentage points.”PromptIf we accept the maximum margin of sampling error provided above, find a 95% confidence interval to estimate the percentage of U.S. adults who feel that access to healthcare is the most urgent health problem facing this country. Interpret your interval in context.Content by the Open Learning Initiative (Links to an external site.) and licensed under CC BY (Links to an external site.).RubricPeer Reviewed AssignmentPeer Reviewed AssignmentCriteriaRatingsPtsThis criterion is linked to a Learning OutcomeAddressing the Prompt8 ptsFull MarksAll parts of the Prompt are addressed. Answers are correct. Statistical vocabulary is used appropriately. Writing is clear and thought process is easy to follow.5 ptsPartial CreditSome parts of the prompt are not addressed, are incorrect, or are unclear.0 ptsNo MarksThe prompt is not addressed.8 ptsThis criterion is linked to a Learning OutcomeIndividual Penalty0 ptsNo individual penalty-1 ptsIndividual penalty.Please see the instructor comments for more information.0 ptsThis criterion is linked to a Learning OutcomePeer Reviews2 ptsFull MarksYou completed all assigned peer reviews (maximum of 2). For each peer review, the points you assigned in the rubric are appropriate. You included comments explaining the score you posted in the rubric. If you deducted points in the rubric, your comments explain what the author needs to do to earn a higher grade when the teacher grades the assignment.1 ptsPartial CreditCommitted a good-faith effort to provide a high-quality peer review, but many necessary instructive comments are missing.0 ptsNo MarksNo peer review provided or the comments are not instructive.2 ptsTotal Points: 10PreviousNext

or this Assignment, you will continue your practice as a critical consumer of research. You will critically evaluate a scholarly article related to one-way ANOVA testing.To prepare for this Assignment:Use the Course Guide and Assignment Help found in this week’s Learning Resources and search for a quantitative article related to one-way ANOVA testing.For this Assignment:Write a 2- to 3-page critique of the article you found. In your critique, include responses to the following:Why did the authors use this one-way ANOVA test?Do you think it’s the most appropriate choice? Why or why not?Did the authors display the data?Does the results table stand-alone (i.e., are you able to interpret the study from it?) Why or why not?resourcesFrankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: Sage Publications. Chapter 11, “Analysis of Variance” (pp. 303-324)Wagner, W. E. (2016). Using IBM® SPSS® statistics for research methods and social science statistics (6th ed.). Thousand Oaks, CA: Sage Publications. Chapter 10, “Analysis of Variance”Chapter 11, “Editing Output” (previously read in Week 2, 3, 4, 5. and 6)Walden University Library. (n.d.). Course Guide and Assignment Help for RSCH 8210. Retrieved from http://academicguides.waldenu.edu/rsch8210For help with this week’s research, see this Course Guide and related weekly assignment resources.DatasetsDocument: Data Set 2014 General Social Survey (dataset file)Use this dataset to complete this week’s Discussion.Note: You will need the SPSS software to open this dataset.Document: Data Set Afrobarometer (dataset file)Use this dataset to complete this week’s Assignment.Note: You will need the SPSS software to open this dataset.Document: High School Longitudinal Study 2009 Dataset (dataset file)Use this dataset to complete this week’s Assignment.Note: You will need the SPSS software to open this datase