Module 5 - Case FACTOR ANALYSIS/PRINCIPLE COMPONENT ANALYSIS This Case Assignment will involve: 1) Factor analysis. 2) A comparison of statistical tests *Please refer toSPSS Commandsfor tips on...

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Module 5 - Case


FACTOR ANALYSIS/PRINCIPLE COMPONENT ANALYSIS


This Case Assignment will involve: 1) Factor analysis. 2) A comparison of statistical tests


*Please refer toSPSS Commandsfor tips on analyzing data.



1. Factor Analysis


A researcher is examining factors that predict language development among first grade students. The researcher believes that some of the variables may be correlated and would like to run factor analysis to reduce multicollinearity. The researcher would like to use factor analysis to examine the following variables from thedata file:



  • reversal (syllable reversal),

  • delete onset,

  • judgment of tone,

  • learn word (morpheme learning),

  • odd word (pick up the odd word in four choices),

  • circle word (select the correct "root" for the word),

  • fill in word (fill in a word in a sentence),


Conduct Factor Analysis with SPSS. Write a report describing and interpreting the results of your factor analysis. Include relevant tables.



2) Compare statistical tests that were presented in RMS608 and RMS618


Complete the following table, which includes statistical tests from RMS608 and RMS618:



















































































Statistical methodPurpose /when to useType of the dataassumptions
Descriptive statistics
T-test
ANOVA
ANCOVA
Chi-Square
Correlation
Simple Linear Regression
Multiple Linear Regression
Logistic Regression
MANOVA/MANCOVA
Repeated Measures
Factor Analysis


Assignment Expectations


Length: Case assignments should be at least 3 pages (750 words) in length excluding tables.


References: Any references used should be from academic sources and cited using APA format.


Organization: Subheadings should be used to organize your paper according to question


Format: This assignment should be written in a scientific format (as in the "Results" section of a peer-reviewed study). APA format is required for all assignments at the PhD level. Refer to the following guidelines in presenting tables and results in APA format: 1.APA Table Guidelines, 2.Reporting ResultsSee Syllabus page for more information on APA format.


Grammar and Spelling: While no points are deducted for minor errors, assignments are expected to adhere to standard guidelines of grammar, spelling, punctuation, and sentence syntax. Points may be deducted if grammar and spelling impact clarity.


The following items will be assessed in particular:



  • Relevance—All content is connected to the question.

  • Precision—Specific questions are addressed. Calculations, statements, facts, and statistics are specific and accurate.

  • Depth of discussion—Points are presented and integrated.

  • Evidence—Statements are well supported with facts, statistics or references.

  • Logic—Presented discussion makes sense; conclusions are logically supported by premises, statements, or factual information.

  • Clarity—Writing is concise and understandable, and subjects are sufficiently described.

  • Objectivity—The use of first person and subjective bias are avoided.


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Answered Same DayJun 20, 2021

Answer To: Module 5 - Case FACTOR ANALYSIS/PRINCIPLE COMPONENT ANALYSIS This Case Assignment will involve: 1)...

Atreye answered on Jun 25 2021
147 Votes
Stage 4:
Checking for normality:
Syntax:
PPLOT
/VARIABLES=AGE CHILDREN SEX INCOME
/NOLOG
/NOSTANDARDIZE
/TYPE=Q-Q
/FRACTION=BLOM
/TIES=MEAN
/DIST=NORMAL.
Interpretation:
· From the four Q-Q plots it can be seen that f
or only the variables number of children and age of respondents, the normality assumption supported since the observations are either lying on the straight line or they are very close to the straight line.
· But for sex and total family income the observations are very far from the straight line which implies that for them normality assumptions violates.
Checking for homoscedasticity:
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT EMAILHR
/METHOD= ENTER Age
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS HISTOGRAM(ZRESID) NORMPROB(ZRESID).
Interpretation:
It can be seen that the observations are not completely scattered. They are not equally distributed. They have very tight distribution in the lower part which implies the homoscedasticity assumption violates for the respondent age.
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT EMAILHR
/METHOD=ENTER CHILDREN
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS HISTOGRAM(ZRESID) NORMPROB(ZRESID).
Interpretation:
It can be seen that the observations are not completely scattered. They are not equally distributed. They have very tight distribution in the lower part which implies the homoscedasticity assumption violates for the respondent number of children.
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT EMAILHR
/METHOD=ENTER SEX
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS HISTOGRAM(ZRESID) NORMPROB(ZRESID).
Interpretation:
It can be seen that the observations are not completely scattered. They are not equally distributed. They have very tight distribution in the left side and right side of the plot which implies the homoscedasticity assumption violates for the respondent Sex.
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT EMAILHR
/METHOD=ENTER INCOME
/SCATTERPLOT=(*ZRESID ,*ZPRED)
/RESIDUALS HISTOGRAM(ZRESID) NORMPROB(ZRESID).
Interpretation:
It can be seen that the...
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