MANOVA/MANCOVA A researcher is comparing the ability to perform different reading/writing abilities. Thedatasetcontains four dependent variables: reading comprehension, copy word, composition, and...

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MANOVA/MANCOVA


A researcher is comparing the ability to perform different reading/writing abilities. Thedatasetcontains four dependent variables: reading comprehension, copy word, composition, and write word. The independent variable is ability (1=low, 2=medium and 3=high). Raven refers to Raven Standard Progression Matrices (similar to an IQ test, which was used to conduct the pretest).


*Please refer toSPSS Commandsfor tips on analyzing data.



Your task:


1) State the research hypotheses.


2) Perform MANOVA for this data set.



  • Does this meet the assumption of Homoscedasticity? Explain.

  • Are there significant differences between individuals in the three groups (i.e., low, medium, and high ability) with respect to their reading comprehension, ability to copy words, composition, and writing words? Provide support.


3) Perform a MANCOVA for this data set. Include the Raven test as covariate.



  • Describe the results, including pertinent tables.

  • Compare these results with the MANOVA test. Explain any differences.


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 Results. See Syllabus page for more information on APA format.

Answered Same DayJun 04, 2021

Answer To: MANOVA/MANCOVA A researcher is comparing the ability to perform different reading/writing abilities....

Subhanbasha answered on Jun 05 2021
143 Votes
MANOVA/MANCOVA Analysis
Univariate statistics:
MVA VARIABLES=id ablity raven readcmp copyword composi writeword .
Univariate Statistics
N
Mean
Std. Deviation
Missing
N
o. of Extremesa
Count
Percent
Low
High
id
323
1184.82
107.486
0
.0
0
0
ablity
316
1.98
.822
7
2.2
0
0
raven
314
20.4363
10.24044
9
2.8
0
0
readcmp
304
.6784
.19856
19
5.9
2
0
copyword
306
.4076
.13945
17
5.3
1
3
composi
302
1.5320
.71275
21
6.5
0
1
writeword
308
47.3734
12.65350
15
4.6
0
3
    From the above table there is missing values except in id column.
Replacing Missing Values:
There is a missing values in the data so we replaced the missing values as below.
    Here we replaced missing values with mean values of the same variable and also changed the variable names as ability_1 and ravan_1.
RMV /ablity_1=LINT(ablity) /raven_1=SMEAN(raven) /readcmp_1=SMEAN(readcmp)
/copyword_1=SMEAN(copyword) /composi_1=SMEAN(composi) /writeword_1=SMEAN(writeword).
Hypothesis :
Null Hypothesis: There is no significant difference between reading/writing abilities.
Alternative Hypothesis: There is significant difference between reading/writing abilities.
2).MANOVA: (Multi variate analysis of variance) :
GLM readcmp_1 copyword_1 composi_1 writeword_1 BY ablity_1
/METHOD=SSTYPE(3)
/INTERCEPT=INCLUDE
/PRINT=HOMOGENEITY
/CRITERIA=ALPHA(.05)
/DESIGN= ablity_1.

Multivariate Testsa
Effect
Value
F
Hypothesis df
Error df
Sig.
Intercept
Pillai's Trace
.613
125.372b
4.000
316.000
.000
Wilks' Lambda
.387
125.372b
4.000
316.000
.000
Hotelling's Trace
1.587
125.372b
4.000
316.000
.000
Roy's Largest...
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