Order ID  53563633773 
Type  Essay 
Writer Level  Masters 
Style  APA 
Sources/References  4 
Perfect Number of Pages to Order  510 Pages 
Description/Paper Instructions
Description
Power Analysis
This is a threepart assignment in which you will demonstrate your ability to:
Analyze components of a t test required for power analysis.
Compute and interpret a post hoc power analysis.
Compute and interpret an a priori power analysis.
In addition to IBM SPSS, you will also use the G*Power software to complete this assignment. Answer each question, providing IBM SPSS or G*Power analysis output when necessary to support your answer. Save your work in a Word file. The deadline for submitting your work is 11:59 p.m. Central time on Sunday of week 2.
The data file for this assignment, BP Study Dataset, is given in the resources. You will be conducting a post hoc power analysis and an a priori power analysis on an independent samples t test of gender as the grouping variable (male = 1; female = 2) and HR1 (heart rate) as the outcome variable. There are three sections of this assignment. After reporting the t test results, you will then conduct a post hoc power analysis followed by an a priori power analysis.
Section 1: Reporting the t Test Results
Using BP Study Dataset, conduct an independent samples t test in SPSS with gender as the grouping variable (male = 1; female = 2) and HR1 (heart rate) as the outcome variable.
Paste the SPSS output and then report:
The sample size for males ( n1) and sample size for females ( n2).
The means for males ( M1) and females ( M2) on HR1.
The calculated mean difference ( M1 M2).
The standard deviations for males ( s1) and females ( s2) on HR1.
The Levene test (homogeneity of variance assumption) and interpretation.
t, degrees of freedom, t value, and probability value. State whether or not to reject the null hypothesis. Interpret the results.
Calculate Cohen’s d effect size from the SPSS output and interpret it. Specifically, if the homogeneity of variance assumption is met, divide the mean difference ( M1 M2) by either s1 or s2. Violation of the homogeneity of variance assumption requires calculation of Spooled. Homogeneity assumed:
Cohen’s d = ( M1 M2) ÷ s1 or Cohen’s d = ( M1 M2) ÷ s2
To be comprehensive, report Cohen’s d based on a calculation with s1 and a calculation with s2. Round the effect size to two decimal places. Interpret Cohen’s d with Table 5.2 of your Warner text.
Section 2: Post Hoc Power Analysis
Open G*Power. Select the following options:
Test family = t tests.
Statistical test = Means: Difference between two independent groups (two groups).
Type of power analysis = Post hoc: Compute achieved power.
Tails(s) = Two.
Effect size d = Cohen’s d obtained from Section 1 above (using either s1 or s2).
? err prob = standard alpha level.
Sample size group 1 = n1 from Section 1 above.
Sample size group 2 = n2 from Section 1 above.
Click Calculate.
Provide a screenshot of your G*Power output. Report the observed power of this post hoc power analysis. Interpret the level of power in terms of rejecting a null hypothesis. Do you have sufficient power to reject a false null hypothesis? Interpret power in terms of committing a Type II error.
Section 3: A Priori Power Analysis
In G*Power, now select:
Type of power analysis = A priori: Compute required sample size.
Input effect size d from Section 1.
Specify ? err prob.
Specify Power (1 – ?) = .80.
Set the Allocation ratio to 1 (that is, equal sample sizes).
Click Calculate.
Provide a screenshot of your G*Power output. Interpret the meaning of a .80 power value. Specifically, report the estimated n1, n2, and total N to achieve obtain a power of .80. How many total subjects ( N) would be needed to obtain a power of .80? Would you have expected a required N of this size? Why or why not?
Next, in G*Power, change the Cohen’s d effect size value obtained in Section 1 and set it to .50 (conventional “medium” effect size). Click Calculate. How many total subjects ( N) are needed to obtain a power of .80? Compare and contrast these two estimated Ns.
In conclusion, reflect on the importance of conducting an a priori power analysis in psychological research plans.
Use: Warner, R. M. (2013). Applied statistics: From bivariate through multivariate techniques (2nd ed.). Thousand Oaks, CA: Sage Publications.
RUBRIC QUALITY OF RESPONSE  NO RESPONSE  POOR / UNSATISFACTORY  SATISFACTORY  GOOD  EXCELLENT  Content (worth a maximum of 50% of the total points)  Zero points: Student failed to submit the final paper.  20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking.  30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking.  40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete.  50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing.  Use of Sources (worth a maximum of 20% of the total points).  Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper.  5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6^{th} Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper.  10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6^{th} Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources.  15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6^{th} Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources.  20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6^{th} Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment.  Grammar (worth maximum of 20% of total points)  Zero points: Student failed to submit the final paper.  5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors  10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors  15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage.  20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free.  Structure of the Paper (worth 10% of total points)  Zero points: Student failed to submit the final paper.  3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6^{th} edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6^{th} edition requirements whatsoever.  5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6^{th} edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper  7 points out of 10: Research paper presents an aboveaverage use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment.  10 points: Student provides a highcaliber, formatted paper. This includes an APA 6^{th} edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper. 


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