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MCQs: ANOVA

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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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Solution Preview

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 ...

Solution Summary

The solution provides answers to multiple choice questions on ANOVA. The ANOVA comparing three treatment conditions are provided.

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Statistics

I need help answering these questions.

10) For a sample size of 1, the sampling distribution of the mean will be normally distributed
A.
Regardless of the shape of the population.
B.
Only if the population values are larger than 30.
C.
Only if the shape of the population is positively skewed.
D.
Only if the population is normally distributed.

11) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change?
A.
It will double.
B.
It will be cut to ¼ of 5.
C.
It will be cut in half.
D.
It will quadruple.

12) A random variable follows the Student's t distribution. The probability that it will be positive is
A.
1
B.
Less than 0.50
C.
.05
D.
0

13) A test for equality of two variances is based on
A.
the difference between the sample coefficients of variation.
B.
the difference between the population variances.
C.
the ratio of the sample variances.
D.
the difference between the sample variances.

14) When testing for differences between two means, the Behrens-Fisher problem arises when the sample populations are
A.
are non-normal and have equal variances.
B.
are normal with unequal variances.
C.
are non-normal and have unequal variances.
D.
normal with equal variances.

15) A test for equality of two variances has sample sizes n1 = 13 and n2 = 10. The degrees of freedom for the test are
A.
13 and 10.
B.
26.
C.
12 and 9.
D.
21.

16) In two-factor ANOVA, the MSE must always be positive, but MSA or MSB may be negative.
A.
True
B.
False

17) Main effects are simpler to interpret when the test of the interaction term is not significant in a two-factor ANOVA.
A.
True
B.
False

18) An analysis of variance (ANOVA) tests population variance.
A.
True
B.
False

19) Hartley's test measures the equality of the means for several groups.
A.
True
B.
False

20) When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.
A.
True
B.
False

21) Which of the following statistics from the ANOVA table do not have an additive relationship?
A.
Mean squares
B.
Degrees of freedom
C.
It is not possible to tell.
D.
Sum of squares

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