Term Paper on "Multivariate Statistics"

Term Paper 3 pages (1214 words) Sources: 0

[EXCERPT] . . . .

training -- the traditional model, the computer model, and the video model -- feeling that people who receive different kinds (levels) of training should show differences in the dependent variable, which is the level of math anxiety. The researcher's null hypothesis is that there will be no differences in mean level of math anxiety for the three groups (assume there is a valid, interval-level measure of math anxiety). However, after thinking about it, the researcher wonders if the methods may also be effective with anxiety related to public speaking. The null hypothesis here is that there will be no differences in the mean level of anxiety related to public speaking for the three groups (assume there is a valid, interval-level measure of fear of public speaking. The researcher decides to do two separate one-way ANOVAs to analyze the research. However, a colleague reports that they have evidence that math anxiety and public speaking anxiety are positively correlated. In fact, there is about a .4 correlation between math anxiety and anxiety due to public speaking.

As an expert in statistics, the researcher comes to you for guidance. What advise do you offer? Defend your answers.

My suggestion would be to conduct a MANOVA. The difference between an ANOVA and a MANOVA is that whereas an ANOVA deals with one dependent variable, a MANOVA deals with two. I would also recommend a 2-way analysis.

The researcher originally wanted to test whether one of the three methods of training, the traditional model, the computer model, and the video model, have any effect on math anxiety. The researcher, in other words, is playing around with three independent variables and
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seeing whether they have any effect on one dependent variable: Maths anxiety

In this case, the researcher would be correct in choosing to employ / use an ANOVA.

However, now the researcher wants to see whether the same three independent variables have any impact on two dependent variables:

1. maths anxiety, and

2. anxiety in public speaking.

Here, his statistics become more complex since he is analyzing, not one, but two completely different situations. I would therefore recommend him to use a MANOVA for doing so.

I would also advise him to do a 2-way research. He does not need to do two separate one-way ANOVAs; that would make it more complex.

If he does a 2-way MANOVA, he will be able to see results in either direction. Meaning that he will be able to see whether the 3 independent variables have a positive effect on maths anxiety (i.e. whether they help reduce it) or whether they have a negative effect on the situation (I..e if they increase it). The same applies to anxiety in public speaking. A 2-way will tell him whether it increases or decreases the variable.

Even if someone tells him, as happens in this case, that the two anxieties are related, the researcher should not trust him. This is so for various reasons that include the folowing:

1. They are two different areas: one deals with math, the other public speaking.

2. Precious research on th e subject may be mistaken

3. The researcher is dealing with a separate population sample and separate case. Study results may be different in his.

Furthermore, they likely are correlated in some way. When conducting the MANOVA, therefore, the researcher adds differences to each so as to make the contrast stronger.

2.Discuss the logic of the multiple analysis of variance (MANOVA). Why would a researcher use MANOVA instead of running several separate analyses of variance? Mention specific advantages and disadvantages in doing so.

The MANOVA is useful in that it… READ MORE

Quoted Instructions for "Multivariate Statistics" Assignment:

Written simply, nothing extravagant.

Use simple examples.

New TImes Font.

Use a minimum of 2 quotes from the source provided.

Page 1:

A researcher is interested in the effects of three methods of training��*****"the traditional model, the computer model, and the video model��*****"feeling that people who receive different kinds (levels) of training should show differences in the dependent variable, which is the level of math anxiety. The researcher*****s null hypothesis is that there will be no differences in mean level of math anxiety for the three groups (assume there is a valid, interval-level measure of math anxiety). However, after thinking about it, the researcher wonders if the methods may also be effective with anxiety related to public speaking. The null hypothesis here is that there will be no differences in the mean level of anxiety related to public speaking for the three groups (assume there is a valid, interval-level measure of fear of public speaking. The researcher decides to do two separate one-way ANOVAs to analyze the research. However, a colleague reports that they have evidence that math anxiety and public speaking anxiety are positively correlated. In fact, there is about a .4 correlation between math anxiety and anxiety due to public speaking.

As an expert in statistics, the researcher comes to you for guidance. What advise do you offer? Defend your answers.

Page 2

Discuss the logic of the multiple analysis of variance (MANOVA). Why would a researcher use MANOVA instead of running several separate an*****s of variance? Mention specific advantages and disadvantages in doing so.

Page 3

A researcher has found a significant F with their MANOVA. What is the general interpretation of the result? What might the next steps be in the analysis, given the significant F for the MANOVA?

*****

How to Reference "Multivariate Statistics" Term Paper in a Bibliography

Multivariate Statistics.” A1-TermPaper.com, 2012, https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912. Accessed 5 Oct 2024.

Multivariate Statistics (2012). Retrieved from https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912
A1-TermPaper.com. (2012). Multivariate Statistics. [online] Available at: https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912 [Accessed 5 Oct, 2024].
”Multivariate Statistics” 2012. A1-TermPaper.com. https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912.
”Multivariate Statistics” A1-TermPaper.com, Last modified 2024. https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912.
[1] ”Multivariate Statistics”, A1-TermPaper.com, 2012. [Online]. Available: https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912. [Accessed: 5-Oct-2024].
1. Multivariate Statistics [Internet]. A1-TermPaper.com. 2012 [cited 5 October 2024]. Available from: https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912
1. Multivariate Statistics. A1-TermPaper.com. https://www.a1-termpaper.com/topics/essay/training-traditional-model/60912. Published 2012. Accessed October 5, 2024.

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