STA20006 Analysis of Variance and Regression
This assignment relates to the SPSSAssignment 1 data file (SAV 9 KB)
download. The objective of this assignment is for you to understand research scenarios that concern correlation and regression. In particular, it is important that you master the components of multiple regression, such as moderation and mediation, as these techniques are regularly used within the Health Sciences.
Please note that all relevant statistical SPSS output should be placed in an appendix at the end of your document.
This assignment supportsunit learning outcomes 1, 2, 3, 4, 5, 6 and 7.
10/08/2021 Assignment 2: Workbook assignment part 1 tasks: Analysis of Variance and Regression https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks 1/6 Assignment 2: Workbook assignment part 1 tasks It is recommended that you use the STA20006 Answer template assignment 2 (DOCX 30 KB) (https://swinburneonline.instructure.com/courses/3012/files/2061221/download?wrap=1) (https://swinburneonline.instructure.com/courses/3012/files/2061221/download? download_frd=1) to help you format the answers to each of the following tasks. You can additionally add your SPSS outputs in this template. Information on the data collected Data for Assignment 2: Workbook assignment part 1 tasks Variable Variable coding Variable description ID N/A The identification number allocated to each participant. Sex 0: Male 1: Female The sex of the participant. Age N/A The age of the participant. Load 0: Full-time 1: Part-time The workload of the participant. Residency 0: Citizen/permanent resident 1: International The participant's residency status. Satisf N/A A measure of the participant’s satisfaction with their current work. Work satisfaction scores range from 0 to 80, with a https://swinburneonline.instructure.com/courses/3012/files/2061221/download?wrap=1 https://swinburneonline.instructure.com/courses/3012/files/2061221/download?download_frd=1 10/08/2021 Assignment 2: Workbook assignment part 1 tasks: Analysis of Variance and Regression https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks 2/6 higher score indicating higher levels of work satisfaction. Income N/A The participant's annual income. Partinc N/A The participant's partner/spouse's annual income. YearsComp N/A The number of years the participant has been employed at the current company. TravelTime N/A The time taken (in minutes) for the participant to travel to work each day. YearsEdu N/A The number of years of tertiary education the participant received. IQscore N/A A measure of the participant’s intelligence quotient. Task A: Report (18%) The research team at a large Melbourne based company has hypothesised that workers who take less time to travel to work each day will generally be more satisfied with their work life. Use the data from the Assignment 1 data file (SAV 9 KB) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download? download_frd=1) file to investigate this hypothesis. Write a brief report on your results, including an appropriate hypothesis test. Quote all relevant statistics and appendix relevant output. In addition, refer to the following notes: Note 1: Assume all assumptions have been met. Note 2: Check the marking rubric to see how this question is graded. Note 3: The report should be written in APA format. Task B: Multiple regression (18%) In a follow-up study, the researchers decided to investigate the factors that affect the number of years participants in their sample of Australian adults are employed at a company. The researchers included the following predictors in their model: work satisfaction, years of tertiary education and sex. Using the Assignment 1 data file (SAV 9 KB) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download? https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd=1 10/08/2021 Assignment 2: Workbook assignment part 1 tasks: Analysis of Variance and Regression https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks 3/6 download_frd=1) , run a multiple regression to address this scenario and answer the following questions: From the raw correlations table, which of the predictors were significantly related to the dependent variable? Quote relevant statistics. Give the regression equation for the number of years spent working for a company (to two decimal places). Use the regression equation to predict the number of years spent working for a company for a male who has a work satisfaction score of 40 and 4 years of tertiary education. Interpret the partial regression coefficient for work satisfaction. What was the most important predictor in this regression? Quote relevant statistics. When all of the predictors are taken into account, what predictors contributed significantly to the multiple regression? Quote relevant statistics. Is the value of Multiple R significant? What does this tell us? Quote relevant statistics. How much of the variation in the number of years spent working for a company can be explained by this linear model? In addition, consider the following notes: Note 1: Assume all assumptions have been met. Note 2: When quoting relevant statistics, use APA format. Note 3: Check the marking rubric to see how this question is graded. Task C: Error identification (18%) In a follow-up study, the researchers decided to investigate the factors that affect annual income for their sample of office workers. The researchers included the following predictors into their model: age, years of tertiary education and sex. The researchers hypothesised that: People with more years of tertiary education will have higher annual incomes. Older people will have higher annual incomes. Males will have higher annual incomes than females. Using the data from the Assignment 1 data file (SAV 9 KB) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download? download_frd=1) , the researchers have provided a report to address these research hypotheses. Section 1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd=1 10/08/2021 Assignment 2: Workbook assignment part 1 tasks: Analysis of Variance and Regression https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks 4/6 A study was conducted to explore factors affecting the annual income of workers from a Melbourne-based company. The researchers proposed that people with more years of tertiary education would have higher annual incomes. They also suggested that older people would have higher annual incomes. Finally, they suggested that males would have higher annual incomes than females. A multiple regression was performed on this data with income as the dependent variable. Three predictors were included in the model: age, years of tertiary education and sex (male/female). The intercorrelations between the variables are given in Table 1, and the regression statistics are given in Table 2. Table 1: Intercorrelations among the variables Income Age Year T.Edu Age .43*** Years T.Edu .77*** .44*** Sex -.06 -.04 -.02 Note: *p<.05,><.01,><.001: n="150" sex="" coded="" as="" 0="male," 1="female" table="" 2:="" results="" of="" regression="" for="" workers,="" with="" income="" as="" the="" dv="" variable="" squared="" part="" correlations="" partial="" correlations="" stand.="" regression="" coefficients="" age="" .094="" .149="" .105="" years="" t.edu="" .651="" .720="" .725***="" sex="" -.038="" -.060="" -.038="" r=".607***" note:=""><.05,><.01,><.001: n="150" sex="" coded="" as="" 0="male," 1="female" section="" 2="" as="" can="" be="" seen="" from="" table="" 1,="" only="" sex="" was="" not="" significantly="" correlated="" with="" income.="" there="" were,="" however,="" significant="" positive="" relationships="" between="" income="" and="" the="" other="" predictors.="" people="" with="" more="" years="" of="" tertiary="" education="" tend="" to="" have="" higher="" annual="" incomes,="" as="" did="" 2="" 10/08/2021="" assignment="" 2:="" workbook="" assignment="" part="" 1="" tasks:="" analysis="" of="" variance="" and="" regression="" https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks="" 5/6="" younger="" workers.="" section="" 3="" the="" three="" predictors="" together="" explain="" 60.7%="" of="" the="" variation="" in="" annual="" income,="" and="" this="" is="" significant="" f(3,149)="75.07," p="">< .001. when all of the predictors are taken into account, age is no longer significant (see table 2). the correlation between age and income can be explained in terms of years of tertiary education. older people tended to have more years of tertiary education and people with more years of tertiary education tended to have higher annual incomes. the most important predictor of income in this model was years of tertiary education. people with more years of tertiary education tended to have higher annual incomes. section 4 as expected, years of tertiary education had an indirect effect on income, with more years of tertiary education resulting in higher annual incomes. also, as expected, older people also tend to have higher incomes, but only because they have more years of tertiary education. contrary to expectations, there is insufficient evidence to suggest that the sex of a person has an effect on their income. question identify one error in each section (there can be more than one) and comment on what should have been written instead (you will have to run an analysis on the data yourself to check). note: the error that you need to identify in each section is not associated with apa format or grammatical errors. task d: report (46%) suppose researchers were also interested in investigating the factors that affect work satisfaction for their sample of office workers. the researchers included the following predictors into their model: annual income, number of years working at a company, travel time and load (part-time/full-time). the researchers hypothesised that: people with higher incomes will be more satisfied with work. full-time workers will be more satisfied with their work than part-time workers. people who have spent more time at their current job will be more satisfied with work. using the data provided from the assignment 1 data file (sav 9 kb) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download? download_frd=1) , write a report on the analysis addressing these hypotheses. include relevant and formatted tables in the body of your report. https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd=1 10/08/2021 assignment 2: workbook assignment part 1 tasks: analysis of variance and regression https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks 6/6 additionally, consider the following notes: note 1: assume all assumptions have been met. note 2: check the marking rubric to see how this question is graded. note 3: the report should be written in apa format. answer sheet (template) this document provides an example layout that you may find useful in setting up your assignment. note: there is no rule on how you must set up your assignment, and the layout over the next few pages is only a recommendation. name: [your name] student id: [your id number] task a note: task a is a correlation / simple linear regression report. see module 2 for relevant resources. type your report below and include spss output / screenshots / etc. for this task in appendix a. appendix a any output you produced for task a task b note: task b is short answer questions about multiple regression. below are sample (not real) answers to give you an idea of how you can layout this task. see module 3 for relevant resources. include spss output / screenshots / etc. for this task in appendix b. 1. the answer is ice cream 2. why are people with vision impairments eager for this year? … they will finally see 20-20 3. penguins are secretly evil 4. 1 + 1 = 3 ? 5. what gets wetter as it dries? … a towel 6. monday is colder than wednesday 7. green apples are better than red apples appendix b any output you produced for task b task c note: task c is asking you to identify an error with each of the four sections and comment on how it should be changed to be correct. you should be looking for “statistical errors” and not grammatical or ways to make the sentence sound better. include spss output / screenshots / etc. for this task in appendix c. section a error: change to: section b error: change to: section c error: change to: section d error: change to: appendix c any output you produced for task c task d analysis of variance and regression note: task d is a multiple regression report see module 5 for sample apa reports. type your report below and include spss output / screenshots / etc. for this task in appendix d. appendix d any output you produced for task d .001.="" when="" all="" of="" the="" predictors="" are="" taken="" into="" account,="" age="" is="" no="" longer="" significant="" (see="" table="" 2).="" the="" correlation="" between="" age="" and="" income="" can="" be="" explained="" in="" terms="" of="" years="" of="" tertiary="" education.="" older="" people="" tended="" to="" have="" more="" years="" of="" tertiary="" education="" and="" people="" with="" more="" years="" of="" tertiary="" education="" tended="" to="" have="" higher="" annual="" incomes.="" the="" most="" important="" predictor="" of="" income="" in="" this="" model="" was="" years="" of="" tertiary="" education.="" people="" with="" more="" years="" of="" tertiary="" education="" tended="" to="" have="" higher="" annual="" incomes.="" section="" 4="" as="" expected,="" years="" of="" tertiary="" education="" had="" an="" indirect="" effect="" on="" income,="" with="" more="" years="" of="" tertiary="" education="" resulting="" in="" higher="" annual="" incomes.="" also,="" as="" expected,="" older="" people="" also="" tend="" to="" have="" higher="" incomes,="" but="" only="" because="" they="" have="" more="" years="" of="" tertiary="" education.="" contrary="" to="" expectations,="" there="" is="" insufficient="" evidence="" to="" suggest="" that="" the="" sex="" of="" a="" person="" has="" an="" effect="" on="" their="" income.="" question="" identify="" one="" error="" in="" each="" section="" (there="" can="" be="" more="" than="" one)="" and="" comment="" on="" what="" should="" have="" been="" written="" instead="" (you="" will="" have="" to="" run="" an="" analysis="" on="" the="" data="" yourself="" to="" check).="" note:="" the="" error="" that="" you="" need="" to="" identify="" in="" each="" section="" is="" not="" associated="" with="" apa="" format="" or="" grammatical="" errors.="" task="" d:="" report="" (46%)="" suppose="" researchers="" were="" also="" interested="" in="" investigating="" the="" factors="" that="" affect="" work="" satisfaction="" for="" their="" sample="" of="" office="" workers.="" the="" researchers="" included="" the="" following="" predictors="" into="" their="" model:="" annual="" income,="" number="" of="" years="" working="" at="" a="" company,="" travel="" time="" and="" load="" (part-time/full-time).="" the="" researchers="" hypothesised="" that:="" people="" with="" higher="" incomes="" will="" be="" more="" satisfied="" with="" work.="" full-time="" workers="" will="" be="" more="" satisfied="" with="" their="" work="" than="" part-time="" workers.="" people="" who="" have="" spent="" more="" time="" at="" their="" current="" job="" will="" be="" more="" satisfied="" with="" work.="" using="" the="" data="" provided="" from="" the="" assignment="" 1="" data="" file="" (sav="" 9="" kb)="" (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap="1)" (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?="" download_frd="1)" ,="" write="" a="" report="" on="" the="" analysis="" addressing="" these="" hypotheses.="" include="" relevant="" and="" formatted="" tables="" in="" the="" body="" of="" your="" report.="" https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap="1" https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd="1" 10/08/2021="" assignment="" 2:="" workbook="" assignment="" part="" 1="" tasks:="" analysis="" of="" variance="" and="" regression="" https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks="" 6/6="" additionally,="" consider="" the="" following="" notes:="" note="" 1:="" assume="" all="" assumptions="" have="" been="" met.="" note="" 2:="" check="" the="" marking="" rubric="" to="" see="" how="" this="" question="" is="" graded.="" note="" 3:="" the="" report="" should="" be="" written="" in="" apa="" format.="" answer="" sheet="" (template)="" this="" document="" provides="" an="" example="" layout="" that="" you="" may="" find="" useful="" in="" setting="" up="" your="" assignment.="" note:="" there="" is="" no="" rule="" on="" how="" you="" must="" set="" up="" your="" assignment,="" and="" the="" layout="" over="" the="" next="" few="" pages="" is="" only="" a="" recommendation.="" name:="" [your="" name]="" student="" id:="" [your="" id="" number]="" task="" a="" note:="" task="" a="" is="" a="" correlation="" simple="" linear="" regression="" report.="" see="" module="" 2="" for="" relevant="" resources.="" type="" your="" report="" below="" and="" include="" spss="" output="" screenshots="" etc.="" for="" this="" task="" in="" appendix="" a.="" appendix="" a="" any="" output="" you="" produced="" for="" task="" a="" task="" b="" note:="" task="" b="" is="" short="" answer="" questions="" about="" multiple="" regression.="" below="" are="" sample="" (not="" real)="" answers="" to="" give="" you="" an="" idea="" of="" how="" you="" can="" layout="" this="" task.="" see="" module="" 3="" for="" relevant="" resources.="" include="" spss="" output="" screenshots="" etc.="" for="" this="" task="" in="" appendix="" b.="" 1.="" the="" answer="" is="" ice="" cream="" 2.="" why="" are="" people="" with="" vision="" impairments="" eager="" for="" this="" year?="" …="" they="" will="" finally="" see="" 20-20="" 3.="" penguins="" are="" secretly="" evil="" 4.="" 1="" +="" 1="3" 5.="" what="" gets="" wetter="" as="" it="" dries?="" …="" a="" towel="" 6.="" monday="" is="" colder="" than="" wednesday="" 7.="" green="" apples="" are="" better="" than="" red="" apples="" appendix="" b="" any="" output="" you="" produced="" for="" task="" b="" task="" c="" note:="" task="" c="" is="" asking="" you="" to="" identify="" an="" error="" with="" each="" of="" the="" four="" sections="" and="" comment="" on="" how="" it="" should="" be="" changed="" to="" be="" correct.="" you="" should="" be="" looking="" for="" “statistical="" errors”="" and="" not="" grammatical="" or="" ways="" to="" make="" the="" sentence="" sound="" better.="" include="" spss="" output="" screenshots="" etc.="" for="" this="" task="" in="" appendix="" c.="" section="" a="" error:="" change="" to:="" section="" b="" error:="" change="" to:="" section="" c="" error:="" change="" to:="" section="" d="" error:="" change="" to:="" appendix="" c="" any="" output="" you="" produced="" for="" task="" c="" task="" d="" analysis="" of="" variance="" and="" regression="" note:="" task="" d="" is="" a="" multiple="" regression="" report="" see="" module="" 5="" for="" sample="" apa="" reports.="" type="" your="" report="" below="" and="" include="" spss="" output="" screenshots="" etc.="" for="" this="" task="" in="" appendix="" d.="" appendix="" d="" any="" output="" you="" produced="" for="" task=""> .001. when all of the predictors are taken into account, age is no longer significant (see table 2). the correlation between age and income can be explained in terms of years of tertiary education. older people tended to have more years of tertiary education and people with more years of tertiary education tended to have higher annual incomes. the most important predictor of income in this model was years of tertiary education. people with more years of tertiary education tended to have higher annual incomes. section 4 as expected, years of tertiary education had an indirect effect on income, with more years of tertiary education resulting in higher annual incomes. also, as expected, older people also tend to have higher incomes, but only because they have more years of tertiary education. contrary to expectations, there is insufficient evidence to suggest that the sex of a person has an effect on their income. question identify one error in each section (there can be more than one) and comment on what should have been written instead (you will have to run an analysis on the data yourself to check). note: the error that you need to identify in each section is not associated with apa format or grammatical errors. task d: report (46%) suppose researchers were also interested in investigating the factors that affect work satisfaction for their sample of office workers. the researchers included the following predictors into their model: annual income, number of years working at a company, travel time and load (part-time/full-time). the researchers hypothesised that: people with higher incomes will be more satisfied with work. full-time workers will be more satisfied with their work than part-time workers. people who have spent more time at their current job will be more satisfied with work. using the data provided from the assignment 1 data file (sav 9 kb) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1) (https://swinburneonline.instructure.com/courses/3012/files/2251844/download? download_frd=1) , write a report on the analysis addressing these hypotheses. include relevant and formatted tables in the body of your report. https://swinburneonline.instructure.com/courses/3012/files/2251844/download?wrap=1 https://swinburneonline.instructure.com/courses/3012/files/2251844/download?download_frd=1 10/08/2021 assignment 2: workbook assignment part 1 tasks: analysis of variance and regression https://swinburneonline.instructure.com/courses/3012/pages/assignment-2-workbook-assignment-part-1-tasks 6/6 additionally, consider the following notes: note 1: assume all assumptions have been met. note 2: check the marking rubric to see how this question is graded. note 3: the report should be written in apa format. answer sheet (template) this document provides an example layout that you may find useful in setting up your assignment. note: there is no rule on how you must set up your assignment, and the layout over the next few pages is only a recommendation. name: [your name] student id: [your id number] task a note: task a is a correlation / simple linear regression report. see module 2 for relevant resources. type your report below and include spss output / screenshots / etc. for this task in appendix a. appendix a any output you produced for task a task b note: task b is short answer questions about multiple regression. below are sample (not real) answers to give you an idea of how you can layout this task. see module 3 for relevant resources. include spss output / screenshots / etc. for this task in appendix b. 1. the answer is ice cream 2. why are people with vision impairments eager for this year? … they will finally see 20-20 3. penguins are secretly evil 4. 1 + 1 = 3 ? 5. what gets wetter as it dries? … a towel 6. monday is colder than wednesday 7. green apples are better than red apples appendix b any output you produced for task b task c note: task c is asking you to identify an error with each of the four sections and comment on how it should be changed to be correct. you should be looking for “statistical errors” and not grammatical or ways to make the sentence sound better. include spss output / screenshots / etc. for this task in appendix c. section a error: change to: section b error: change to: section c error: change to: section d error: change to: appendix c any output you produced for task c task d analysis of variance and regression note: task d is a multiple regression report see module 5 for sample apa reports. type your report below and include spss output / screenshots / etc. for this task in appendix d. appendix d any output you produced for task d>