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Anova MCQs | Anova Multiple Choice Questions and Answers

Free download in PDF Anova Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams. These short solved questions or quizzes are provided by Gkseries.
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(1) Analysis of variance is a statistical method of comparing the of several populations.
[A] Means
[B] Variances
[C] Standard Deviations
[D] None Of The Above
Answer: Means
(2) The.....sum of squares measures the variability of the observed values around their respective treatment means.
[A] Error
[B] Total
[C] Treatment
[D] Interaction
Answer: Error
(3) Which of the following is an assumption of one-way ANOVA comparing samples from three or more experimental treatments?
[A] The samples associated with each population are randomly selected and are independent from all other samples
[B] The response variable within each of the k populations have equal variances
[C] All the response variables within the k populations follow a normal distributions
[D] All of the above
Answer: All of the above
(4) When the k population means are truly different from each other, it is likely that the average error deviation:
[A] is relatively small compared to the average treatment deviations
[B] is about equal to the average treatment deviation
[C] is relatively large compared to the average treatment deviations
[D] none of the above
Answer: is relatively small compared to the average treatment deviations
(5) In a study, subjects are randomly assigned to one of three groups: control, experimental A, or experimental B. After treatment, the mean scores for the three groups are compared. The appropriate statistical test for comparing these means is:
[A] The Analysis Of Variance
[B] The Correlation Coefficient
[C] Chi Square
[D] The T-Test
Answer: The Analysis Of Variance
(6) When conducting an ANOVA, FDATA will always fall within what range?
[A] between 0 and infinity
[B] between 0 and 1
[C] between negative infinity and infinity
[D] between 1 and infinity
Answer: between 0 and infinity
(7) Assume that there is no overlap between the box and whisker plots for three drug treatments where each drug was administered to 35 individuals. The box plots for these data:
[A] represent evidence against the null hypothesis of ANOVA
[B] provide no evidence for, or against, the null hypothesis of ANOVA
[C] represent evidence for the null hypothesis of ANOVA
[D] none of the above
Answer: represent evidence against the null hypothesis of ANOVA
(8) An investigator randomly assigns 30 college students into three equal size study groups (early- morning, afternoon, late-night) to determine if the period of the day at which people study has an effect on their retention. The students live in a controlled environment for one week, on the third day of the experimental treatment is administered (study of predetermined material). On the seventh day the investigator tests for retention. In computing his ANOVA table, he sees that his MS within groups is larger than his MS between groups. What does this result indicate?
[A] An error in the calculations was made
[B] There was more than the expected amount of variability between groups
[C] There should have been additional controls in the experiment
[D] There was more variability between subjects within the same group than there was between groups
Answer: There was more variability between subjects within the same group than there was between groups
(9) In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33 In this case, the p-value is:
[A] greater than 0.05
[B] exactly 0.05
[C] cannot tell - it depends on what the SSE is
[D] less than 0.05
Answer: greater than 0.05
(10) What would happen if instead of using an ANOVA to compare 10 groups, you performed multiple t- tests?
[A] Making multiple comparisons with a t-test increases the probability of making a Type I error
[B] Sir Ronald Fischer would be turning over in his grave; he put all that work into developing ANOVA, and you use multiple t-tests
[C] Nothing serious, except that making multiple comparisons with a t-test requires more computation than doing a single ANOVA
[D] Nothing, there is no difference between using an ANOVA and using a t-test
Answer: Making multiple comparisons with a t-test increases the probability of making a Type I error
(11) What is the function of a post-test in ANOVA?
[A] Describe those groups that have reliable differences between group means
[B] Set the critical value for the F test (or chi-square)
[C] Determine if any statistically significant group differences have occurred
[D] None of these
Answer: Describe those groups that have reliable differences between group means
(12) Assuming that the null hypothesis being tested by ANOVA is false, the probability of obtaining a F- ratio that exceeds the value reported in the F table as the 95th percentile is:
[A] equal to .05.
[B] greater than .05.
[C] less than .05.
[D] None of these
Answer: less than .05.
(13) Assuming no bias, the total variation in a response variable is due to error (unexplained variation) plus differences due to treatments (known variation). If known variation is large compared to unexplained variation, which of the following conclusions is the best?
[A] There is evidence for a difference in response due to treatments
[B] The treatments are not comparable
[C] There is significant evidence for a difference in response due to treatments
[D] There is no evidence for a difference in response due to treatments
Answer: There is evidence for a difference in response due to treatments
(14) The......sum of squares measures the variability of the sample treatment means around the overall mean.
[A] Error
[B] Interaction
[C] Total
[D] Treatment
Answer: Treatment
(15) If the true means of the k populations are equal, then MSTR/MSE should be:
[A] close to 1.00
[B] close to -1.00
[C] a negative value between 0 and - 1
[D] more than 1.00
Answer: close to 1.00
(16) If the MSE of an ANOVA for six treatment groups is known, you can compute
[A] the pooled standard deviation
[B] the standard deviation of each treatment group
[C] df1
[D] all answers are correct
Answer: the pooled standard deviation
(17) To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?
[A] MSTR, MSE
[B] mean, sample standard deviation
[C] expected frequency, obtained frequency
[D] sample size, number of groups
Answer: sample size, number of groups
(18) The error deviations within the SSE statistic measure distances:
[A] between groups
[B] within groups
[C] both (a) and (b)
[D] None of the above
Answer: within groups
(19) As variability due to chance decreases, the value of F will
[A] Decrease
[B] Stay The Same
[C] Increase
[D] Can’t Tell From The Given Information
Answer: Increase
(20) In one-way ANOVA, which of the following is used within the F-ratio as a measurement of the variance of individual observations?
[A] SSE
[B] MSE
[C] MSTR
[D] none of the above
Answer: SSE
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