Week 5 – IA Analysis of Variance, statistics homework help

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Week 5 – IA Analysis of Variance(OVERVIEW) (tohw)

This Assignment has 3 parts (attached separately with this Overview),

1. Part 1. Module 5 Problem Set (Attached)

2. Part 2. Module 5 SPSS Data Interpretation

3. Part 3. Statistical Tests

4. DQs (Sent under separate attachment)

Statistical Tests

Doctoral researchers must be able to understand statistical tests and select the appropriate test for the research they are conducting. This assignment will allow you to practice your skills in selecting and using the appropriate statistical tests for a given research study.

General Information

Use the following information to ensure successful completion of the assignment:

  • Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. Each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a Likert-type scale, 1 = strongly disagree and 5 = strongly agree). The sum of the 10 ratings was each respondent's self-esteem score. Their results were: t = 2.01, d = .90 (40 girls, 40 boys).
  • This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.
  • Doctoral learners are required to use APA style for their writing assignments. The APA Style Guide is located in the Student Success Center.
  • This assignment requires that at least two additional scholarly research sources related to this topic, and at least one in-text citation from each source be included.

Directions

In an essay (250-500 words), use the scenario presented above to thoroughly answer the following questions:

  • What statistical test did the researchers use to determine if there was a statistically significant difference in levels of self-esteem between the boys and the girls?
  • What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example?
  • What if the researcher compared the adolescent boys before treatment and again after treating them for depression? What type of t-test would be most appropriate in this case, and why?

Module 5 Problem Set

The problems assigned here are intended to give you contextual experience with the types of statistics you will encounter as you conduct your dissertation research. Completing the assigned problems will increase your comfort level with these tools.

General Requirements:

Use the following information to ensure successful completion of the assignment:

  • This assignment is self-scored.
  • Refer to “Module 5 Problem Set.”
  • Solutions are available.

Directions:

1. Complete the problems in “Module 5 Problem Set.”

2. Check your solutions by comparing your answers to the “Module 5 ProblemSolutions”

document.

3. Submit to the instructor a statement indicating that you have completed this assignment.

Module 5 SPSS Data Interpretation

A between-group one-way analysis of variance (ANOVA) compares the mean values of more than two groups. In this assignment, you will review the SPSS output for an ANOVA and use it to answer questions about the means of the groups.

General Requirements:

Use the following information to ensure successful completion of the assignment:

  • Review "SPSS Access Instructions" for information on how to access SPSS for this assignment.
  • Download “SPSS Data Set Legend" for use with this assignment.
  • Download "Module 5 SPSS Output" for use with this assignment.

Directions:

Review the SPSS output file, which reports the results of the between-group (independent group) one-way ANOVA to see if the mean alcohol by volume (%) of the beer differs as a function of quality of the brand as rated by a beer expert (in 2012). Answer the following questions based on your observations of the SPSS output file:

1. Looking at the descriptives (first information), do you see differences in the mean

alcohol contents for the three levels of quality? Explain.

2. Looking at the Test for Homogeneity of Variances (Levene Statistic), is it reasonable to

proceed with the ANOVA? Is the assumption met, or violated? How do you know?

3. Looking at the results of the ANOVA, is there a significant difference in the mean

alcohol content for beers in the three quality groups? How do you know? Write the

results in the following format: F(df value) = ___, p value = ______.

4. The pairwise post hoc tests indicate which quality groups' means are statistically

significantly different for the others. Using the results of the Tukey HSD post hoc test,

what two quality rating groups had significantly different mean alcohol by volume

levels? How do you know?

Unformatted Attachment Preview

Week 5 – IA Analysis of Variance (OVERVIEW) (tohw) This Assignment has 3 parts (attached separately with this Overview), AND 2 DQs: 1. Part 1. Module 5 Problem Set (Attached) 2. Part 2. Module 5 SPSS Data Interpretation 3. Part 3. Statistical Tests 4. DQs (Sent under separate attachment) Statistical Tests Doctoral researchers must be able to understand statistical tests and select the appropriate test for the research they are conducting. This assignment will allow you to practice your skills in selecting and using the appropriate statistical tests for a given research study. General Information Use the following information to ensure successful completion of the assignment: • • • • Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. Each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a Likert-type scale, 1 = strongly disagree and 5 = strongly agree). The sum of the 10 ratings was each respondent's self-esteem score. Their results were: t = 2.01, d = .90 (40 girls, 40 boys). This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion. Doctoral learners are required to use APA style for their writing assignments. The APA Style Guide is located in the Student Success Center. This assignment requires that at least two additional scholarly research sources related to this topic, and at least one in-text citation from each source be included. Directions In an essay (250-500 words), use the scenario presented above to thoroughly answer the following questions: 1. What statistical test did the researchers use to determine if there was a statistically significant difference in levels of self-esteem between the boys and the girls? 2. What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example? 3. What if the researcher compared the adolescent boys before treatment and again after treating them for depression? What type of t-test would be most appropriate in this case, and why? Module 5 Problem Set The problems assigned here are intended to give you contextual experience with the types of statistics you will encounter as you conduct your dissertation research. Completing the assigned problems will increase your comfort level with these tools. General Requirements: Use the following information to ensure successful completion of the assignment: • • • This assignment is self-scored. Refer to “Module 5 Problem Set.” Solutions are available. Directions: 1. Complete the problems in “Module 5 Problem Set.” 2. Check your solutions by comparing your answers to the “Module 5 Problem Solutions” document. 3. Submit to the instructor a statement indicating that you have completed this assignment. Module 5 SPSS Data Interpretation A between-group one-way analysis of variance (ANOVA) compares the mean values of more than two groups. In this assignment, you will review the SPSS output for an ANOVA and use it to answer questions about the means of the groups. General Requirements: Use the following information to ensure successful completion of the assignment: • Review "SPSS Access Instructions" for information on how to access SPSS for this assignment. • Download “SPSS Data Set Legend" for use with this assignment. • Download "Module 5 SPSS Output" for use with this assignment. Directions: Review the SPSS output file, which reports the results of the between-group (independent group) one-way ANOVA to see if the mean alcohol by volume (%) of the beer differs as a function of quality of the brand as rated by a beer expert (in 2012). Answer the following questions based on your observations of the SPSS output file: 1. Looking at the descriptives (first information), do you see differences in the mean alcohol contents for the three levels of quality? Explain. 2. Looking at the Test for Homogeneity of Variances (Levene Statistic), is it reasonable to proceed with the ANOVA? Is the assumption met, or violated? How do you know? 3. Looking at the results of the ANOVA, is there a significant difference in the mean alcohol content for beers in the three quality groups? How do you know? Write the results in the following format: F(df value) = ___, p value = ______. 4. The pairwise post hoc tests indicate which quality groups' means are statistically significantly different for the others. Using the results of the Tukey HSD post hoc test, what two quality rating groups had significantly different mean alcohol by volume levels? How do you know? Week 5 – Part 1. Problem Set (tohw) Details: The problems assigned here are intended to give you contextual experience with the types of statistics you will encounter as you conduct your dissertation research. Completing the assigned problems will increase your comfort level with these tools. General Requirements: Use the following information to ensure successful completion of the assignment: • • • This assignment is self-scored. Refer to “Module 5 Problem Set.” Solutions are available. Directions: 1. Complete the problems in “Module 5 Problem Set.” 2. Check your solutions by comparing your answers to the “Module 5 Problem Set Solutions” document. 3. Submit to the instructor a statement indicating that you have completed this assignment. RES-845-R-Module 5 ProblemSet.docx RES-845-R-Module5ProblemSet.Solutions.docx RES-845: Module 5 Problem Set Select the response that is correct from the list of choices. Highlight your selection to indicate it as your answer. Add an explanation of why you made that choice. 1. Which of the following designs for a study meets the assumptions for the one-way analysis of variance (ANOVA)? A. IV: Height in Inches, DV: Gender (Male, Female) B. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic), DV: Rank given to each drink for enjoyability C. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic), DV: Number of math problems solved correctly on test D. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic, No drink), DV: Number of math problems solved correctly on test 2. The final F-value computed in a one-way ANOVA is affected by A. The differences among the group means B. The variability within each group C. The sample sizes D. All of the above 3. The F-ratio is a comparison of the amount of Between-Group Variability to the amount of Within-Group Variability. A. True B. False 4. You have computed the following F-value, F(2,8) = 4.50.What is the criterion value against which you would compare this value to see if it is statistically significant at the .05 level? (Hint: Go to Table B.4) A. 19.37 B. 8.65 C. 95 D. 4.46 5. What is the value for the missing number in this part of a one-way ANOVA table for independent samples? Source Treatment Error Total A. B. C. D. df 3 ? 47 19 41 44 .05 6. What is the F-value that would be computed from the following? A. B. C. D. Source MS Treatment 159 Error 37 F ? 4.30 122.0 5809 It can't be computed from the information that is given 7. A post hoc comparison of means can be done whether or not you get a significant F-value. A. True B. False 8. The Tukey Honestly Significant Difference (HSD) test can be used for comparing means when you have independent groups. A. True B. False 9. With a repeated measures one-way ANOVA, you can now compare and explain the scores in the different treatment conditions for a single person with his/her own behavior in the other treatment conditions. A. True B. False 10. The analysis table for the one-way ANOVA with repeated samples allows you to break within-groups variability into one part that can be explained by subject variability and one part that remains unexplained error. A. True B. False 11. The factorial analysis of variance (ANOVA) allows you to analyze data where you have A. More than one IV B. More than one DV C. Only one IV but with an infinite number of conditions D. None of the above RES-845: Module 5 Problem Set Solutions Select the response that is correct from the list of choices. Highlight your selection to indicate it as your answer. Add an explanation of why you made that choice. 5. Which of the following designs for a study meets the assumptions for the one-way analysis of variance (ANOVA)? E. IV: Height in Inches, DV: Gender (Male, Female) F. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic), DV: Rank given to each drink for enjoyability G. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic), DV: Number of math problems solved correctly on test H. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic, No drink), DV: Number of math problems solved correctly on test 6. The final F-value computed in a one-way ANOVA is affected by E. The differences among the group means F. The variability within each group G. The sample sizes H. All of the above 7. The F-ratio is a comparison of the amount of Between-Group Variability to the amount of Within-Group Variability. D. True E. False 8. You have computed the following F-value, F(2,8) = 4.50.What is the criterion value against which you would compare this value to see if it is statistically significant at the .05 level? (Hint: Go to Table B.4) E. 19.37 F. 8.65 G. 95 H. 4.46 6. What is the value for the missing number in this part of a one-way ANOVA table for independent samples? Source Treatment Error Total E. F. G. H. df 3 ? 47 19 41 44 .05 7. What is the F-value that would be computed from the following? E. F. G. H. Source MS Treatment 159 Error 37 F ? 4.30 122.0 5809 It can't be computed from the information that is given 8. A post hoc comparison of means can be done whether or not you get a significant F-value. C. True D. False 9. The Tukey Honestly Significant Difference (HSD) test can be used for comparing means when you have independent groups. C. True D. False 10. With a repeated measures one-way ANOVA, you can now compare and explain the scores in the different treatment conditions for a single person with his/her own behavior in the other treatment conditions. C. True D. False 11. The analysis table for the one-way ANOVA with repeated samples allows you to break within-groups variability into one part that can be explained by subject variability and one part that remains unexplained error. C. True D. False 12. The factorial analysis of variance (ANOVA) allows you to analyze data where you have E. More than one IV F. More than one DV G. Only one IV but with an infinite number of conditions H. None of the above Week 5 – Part 2. SPSS Data Interpretation (tohw) Details: A between-group one-way analysis of variance (ANOVA) compares the mean values of more than two groups. In this assignment, you will review the SPSS output for an ANOVA and use it to answer questions about the means of the groups. General Requirements: Use the following information to ensure successful completion of the assignment: • • • Review "SPSS Access Instructions" for information on how to access SPSS for this assignment. Download “SPSS Data Set Legend" for use with this assignment. Download "Module 5 SPSS Output" for use with this assignment. Directions: Review the SPSS output file, which reports the results of the between-group (independent group) one-way ANOVA to see if the mean alcohol by volume (%) of the beer differs as a function of quality of the brand as rated by a beer expert (in 2012). Answer the following questions based on your observations of the SPSS output file: 1. Looking at the descriptives (first information), do you see differences in the mean alcohol contents for the three levels of quality? Explain. 2. Looking at the Test for Homogeneity of Variances (Levene Statistic), is it reasonable to proceed with the ANOVA? Is the assumption met, or violated? How do you know? 3. Looking at the results of the ANOVA, is there a significant difference in the mean alcohol content for beers in the three quality groups? How do you know? Write the results in the following format: F(df value) = ___, p value = ______. 4. The pairwise post hoc tests indicate which quality groups' means are statistically significantly different for the others. Using the results of the Tukey HSD post hoc test, what two quality rating groups had significantly different mean alcohol by volume levels? How do you know? SPSSAccessInstructions.docx RES-845-R-SPSSDataSetLegend.docx RES-845-ROutputForMod5Exercises.docx SPSSAccess Instructions SPSS (Statistical Program for the Social Sciences) is a computer program that is the de-facto standard used by research institutions and universities for the completion of quantitative analysis. As a doctoral learner, knowledge of quantitative research techniques and the application of these methods as provided in the application software is a required doctoral competency. Doctoral learners are required to use SPSS during several courses to complete specific assignments. Doctoral learners may execute SPSS Base Module and Advanced Statistics in one of two ways. SPSS Installation on Learner's PC or MAC SPSS Base and Advanced Statistics Modules may be installed on a PC or MAC computer. The combined program is very large so please make sure you have at least 2 GB of available disk space on your computer. Once the program file is downloaded, you may access SPSS software to complete classroom assignments and perform quantitative analysis as related to your own research. Actual installation can be performed in less than five minutes after the file has been downloaded. However, the initial download may exceed 60 minutes if your Internet connection is relatively slow. In some instances when the download exceeds 60 minutes, the download may not complete. Should you experience issues when attempting to download the SPSS file, please access the SPSS Server (below). Please use the following links to obtain installation instructions and the program file: • Instructions: How to install SPSS on your PC • PC Download File – 32 bit • PC Download File – 64 bit • Instructions: How to install SPSS on your MAC • MAC Download File All SPSS programs installed on learner computers employ a security activation key which is in effect for 12 months. Should you receive a message indicating your SPSS software is out of date or requires a new activation key, simply follow the instructions referenced above. The update is typically completed in less than five minutes. SPSS Server Access The SPSS Server provides a convenient alternative method to access SPSS Base and Advanced Statistics Program via the Internet. Instead of downloading the entire SPSS program onto your computer (which can exceed 60 minutes), you may access the SPSS program via the Internet by downloading a small activation file (in less than five minutes). Once the activation file is downloaded, you may access SPSS software from any location where you are connected to the Internet to complete classroom assignments and perform quantitative analysis as related to your own research. Please use the following link to obtain instructions on how access the SPSS Server. • Instructions: How to access the SPSS Server Remember that when completing course assignments using the SPSS server, it is necessary to first download the SPSS data file (.SAV) prior to accessing the SPSS Server. Once the data file is download to your computer, you can OPEN the file directly from SPSS. RES-845 SPSS Data Set Legend Information has been gathered on 35 brands of wheat beer. Qualitative (categorical) information has been given codes. Information that is in numerical form (e.g., $ amount) does not need to be coded. Here are all the types of information gathered on these beers: 1. Product name (abbreviation of product’s brand name) 2. Product ID code a. Codes: Each brand is given a numerical ID, with 1 being the first one to 35 for the last one 3. Rating assigned to the product by a taste expert for each brand a. Codes: 1 = Very good 2 = Good 3 = Fair 4. Recommended by leading beer connoisseur magazine? a. Codes: 0 = no 1 = yes 5. Country of origin for each brand: a. Codes: 1 = USA 2 = Canada 3 = France 4 = Holland 5 = Mexico 6 = Germany 7 = Japan 6. Availability in the USA for each brand a. Codes: 1 = National 2 = Regional 7. Price per 6-pack for each brand (values are in US Dollars) 8. Cost per 12 fluid ounces for each brand (values are in US Dollars) 9. Calories per 12 fluid ounces 10.Sodium per 12 fluid ounces for each brand (values are in milligrams, mg) 11.Alcohol by volume for each brand (values are percents, %) 12.Price class for each brand a. Codes: 0 = Not classified 1 = Super premium 2 = Premium 3 = Popular 13.Regular or reduced calorie for each brand a. Codes: 0 = Regular 1 = Reduced calorie 14.Number of US states in which brand was sold in 2008. 15.Number of US states in which brand was sold in 2012. RES-845-R-Output for Module 5 Exercises ONEWAY alcohol BY rating /STATISTICS DESCRIPTIVES HOMOGENEITY /PLOT MEANS /MISSING ANALYSIS /POSTHOC=TUKEY ALPHA(0.05). Oneway Notes Output Created 07-JUN-2013 12:39:57 Comments Data C:\Users\donn\Documents\ GCU Lead fac\Project with Judy for modifying PSY845 to introduce SPSS\drinks database -revised for course applications DH.sav Active Dataset DataSet1 Input File Label SPSS/PC+ Filter Weight Split File N of Rows in Working Data File 35 Definition of Missing User-defined missing values are treated as missing. Cases Used Statistics for each analysis are based on cases with no missing data for any variable in the analysis. Missing Value Handling ONEWAY alcohol BY rating /STATISTICS DESCRIPTIVES HOMOGENEITY Syntax /PLOT MEANS /MISSING ANALYSIS /POSTHOC=TUKEY ALPHA(0.05). Processor Time 00:00:00.33 Elapsed Time 00:00:00.42 Resources [DataSet1] C:\Users\donn\Documents\GCU Lead fac\Project with Judy for modifying PSY845 to introduce SPSS\drinks database -revised for course applications DH.sav Descriptives Alcohol by Volume (in %) for brand N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Lower Bound Upper Bound VeryGo od 11 4.9000 .17889 .05394 4.7798 5.0202 Good 14 4.6000 .38829 .10377 4.3758 4.8242 Fair 10 4.5100 .34140 .10796 4.2658 4.7542 Total 35 4.6686 .35295 .05966 4.5473 4.7898 Descriptives Alcohol by Volume (in %) for brand Minimum Maximum VeryGood 4.70 5.20 Good 4.00 5.50 Fair 3.90 5.00 Total 3.90 5.50 Test of Homogeneity of Variances Alcohol by Volume (in %) for brand Levene Statistic 1.420 df1 df2 2 Sig. 32 .256 ANOVA Alcohol by Volume (in %) for brand Sum of Squares df Mean Square Between Groups .906 2 .453 Within Groups 3.329 32 .104 Total 4.235 34 F 4.357 Sig. .021 Post Hoc Tests Multiple Comparisons Dependent Variable: Alcohol by Volume (in %) for brand Tukey HSD (I) Rated Quality of (J) Rated Quality of Brand Brand Mean Difference (I-J) Good Std. Error Sig. .30000 .12995 .069 Fair .39000* .14093 .025 VeryGood -.30000 .12995 .069 .09000 .13354 .780 -.39000* .14093 .025 -.09000 .13354 .780 VeryGood Good Fair VeryGood Fair Good Multiple Comparisons Dependent Variable: Alcohol by Volume (in %) for brand Tukey HSD (I) Rated Quality of Brand (J) Rated Quality of Brand 95% Confidence Interval Lower Bound Upper Bound Good -.0193 .6193 Fair .0437* .7363 VeryGood -.6193 .0193 Fair -.2382 .4182 -.7363* -.0437 VeryGood Good Fair VeryGood Good -.4182 *. The mean difference is significant at the 0.05 level. Homogeneous Subsets Alcohol by Volume (in %) for brand Tukey HSDa,b Rated Quality of Brand N Subset for alpha = 0.05 1 Fair 10 4.5100 Good 14 4.6000 VeryGood 11 Sig. 2 4.6000 4.9000 .784 .082 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 11.436. .2382 b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed. Means Plots Week 5 – Part 3. Statistical Tests (tohw) Details: Doctoral researchers must be able to understand statistical tests and select the appropriate test for the research they are conducting. This assignment will allow you to practice your skills in selecting and using the appropriate statistical tests for a given research study. General Information: Use the following information to ensure successful completion of the assignment: • • • • Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. Each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a Likert-type scale, 1 = strongly disagree and 5 = strongly agree). The sum of the 10 ratings was each respondent's self-esteem score. Their results were: t = 2.01, d = .90 (40 girls, 40 boys). This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion. Doctoral learners are required to use APA style for their writing assignments. The APA Style Guide is located in the Student Success Center. This assignment requires that at least two additional scholarly research sources related to this topic, and at least one in-text citation from each source be included. Directions: In an essay (250-500 words), use the scenario presented above to thoroughly answer the following questions: 1. What statistical test did the researchers use to determine if there was a statistically significant difference in levels of self-esteem between the boys and the girls? 2. What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example? 3. What if the researcher compared the adolescent boys before treatment and again after treating them for depression? What type of t-test would be most appropriate in this case, and why?
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Explanation & Answer

Please find answer to all the three parts.Thank you.

Running head: STATISTICAL TESTS

1

Statistical Test
Name
University Name
Course
Instructor Name
Aug 16, 2017

STATISTICAL TESTS

2
Exploring Self Esteem

Self-esteem is a way we love ourselves. According to Statman (1993),” one’s selfesteem rests on the standard of doing something well, which are independent of the agent’s
will and are relative to permanent modification. “The objective of the paper is to determine
whether the self-esteem of the individuals differs with respect to gender. For this purpose,
researcher chooses 80 individuals comprising 40 adolescent boys and 40 adolescent girls. A
Likert-scale was used to determine the self-esteem score of the individual.
T-test
It would be appropriate for the researcher to use independent sample t-test for
determining whether the level of self-esteem differs between boys and girls.Here, boys and
girls are independent samples chosen randomly from a population. The result of the
independent sample t-test was found to have a test value of 2.01.
Effect Size
Further, researcher calculated the effect size to measure the strength of the
relation...


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