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# Choose ANOVA or T-test Analysis

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A researcher was interested in the emotional effects of music on exam performance. Before their exam, a professor took one group of students into a room in which calming music was played. A different group of students were taken to another room in which new wave hard rock was being played. The students then took the exam and their scores were reported. What type of analysis would be most appropriate?

A. Paired (dependent) t-test
B. Independent (unpaired) t-test
C. Analysis of Variance ANOVA
D. Repeated Measures ANOVA

https://brainmass.com/statistics/students-t-test/choose-anova-t-test-analysis-503255

#### Solution Preview

Independent (unpaired) t-test

The objective is to find if there is any ...

#### Solution Summary

Based on the question, the most appropriate choice has been presented, along with the rationale.

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## MCQs: ANOVA

THESE ARE SOME OF THE QUESTIONS I AM WORKING ON, IF POSSIBLE CAN YOU PLEASE LET ME KNOW IF MY ANSWERS ARE CORRECT/SOLVE? THANK YOU!!

For an ANOVA comparing three treatment conditons, what is stated by the null hypothesis (Ho)?
* at least one of the 3 population means is different from another mean
* none of these choices are correct (this is the one I chose)?
* there are no differences between any of the population means
* all 3 of the population means are different from each other

For an ANOVA comparing 3 treatment conditions, what is stated by the alternative hypothesis (H1)?
* all 3 of the population means are different from each other
* none of these choices is correct
* at least one of the 3 population means is different for another mean (this is the one I had chosen?)
* there are no differences between any of the population mean

When comparing more than 2 treatment means, why should you use an analysis of variance instead of using several t tests?
* there is no advantage to using an analysis of variance instead of several t test
* the analysis of variance is more likely to detect a treatment effect
* using several t test increases the risk of a Type I error (this is the one I had chosen)?
* using several t test increases the risk of a Type II error

In an analysis of variance, differences between participants contribute to which of the following variances?
* neither between treatments variance nor within treatment variance (this is the one I had chosen?)
* between treatments variance but not within treatment variance
* both between treatments variance and within treatment variance
* within treatments variance but not between treatments variance

In an analysis of variance differences caused by treatment effects contribute to which of the following variances?
* between treatment variance but not within treatment variance
* neither between treatments variance nor within treatments variance
* within treatments variance but not between treatments variance
* both between treatments variance and within treatments variance (this is the one I had chosen?)

On average what value is expected or the F-ratio if the null hypothesis is true?
* k-1
* 1.00
* N-k
* 0 (this is the one I had chosen)?

On average what value is expected for the F-ratio if the null hypothesis is false?
* much greater than 1.00
* between 0 and 1.00
* 1.00 (this is the one I had chosen)?
*0

A research study comparing three treatments with n=5 in each treatment produces T1=5, T2=10, T3=15, with SS1=6, SS2=9, SS3=9 and EX2=94. for this study what is SS total?
*34
* 10 (?)
* 68
* 24

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