Question 1

A researcher measures differences in recall between male and female participants following a romantic movie clip.If different participants were in each group,then what type of statistical design is appropriate for this study?

Accepted Answer

The answer of A researcher measures differences in recall between...

Question 2

A researcher divides participants into groups that will engage in low,moderate,or intense levels of exercise.The total calories consumed by participants following the exercise are then recorded.What type of statistical design is appropriate for this study?

Accepted Answer

A one-way between-subjects ANOVA would be appropriate for this study as it involves comparing the mean total calories consumed by participants in three different groups with different levels of exercise intensity. This design would allow for the evaluation of significant differences between the groups, while controlling for individual differences between participants. The other options (related samples t test and two-independent sample t test) would not be appropriate as they are used to compare means of two groups only.

Question 3

In a study with three groups and 13 participants in each group,the sum of squares for the within-groups source of variation is 18.What is the value for the mean square within-groups in this study?

Accepted Answer

The answer of In a study with three groups and...

Question 4

Which of the following post hoc tests is associated with the least power to detect an effect?

Accepted Answer

Tukey's HSD test is more conservative compared to Fisher's LSD and Studentized Newman-Keuls, meaning it has less power to detect an effect because it controls for Type I error more strictly.

Question 5

Which of the following post hoc tests is associated with the greatest power to detect an effect?

Accepted Answer

Fisher's LSD test generally has the greatest power among the options listed because it does not adjust for multiple comparisons as stringently as the other tests, making it more sensitive to detecting an effect when one truly exists.

Question 6

Which of the following is not a post hoc test for a one-way between-subjects ANOVA?

Accepted Answer

Eta-squared is not a post hoc test, but rather a measure of effect size in ANOVA. The other options listed (Fisher's LSD test, Tukey's HSD test, and Bonferroni test) are all post hoc tests for one-way ANOVA.

Question 7

A researcher conducts two studies on self-perception.In Study 1,24 participants rate how positively they view themselves (on a 5-point scale)in one of three groups (n = 8 per group).In Study 2,the researcher conducts a similar study,except that k = 3 and n = 8.If  = 28 and  = 42 in both studies,then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?

Accepted Answer

The answer of A researcher conducts two studies on self-perception.In...

Question 8

A researcher randomly assigned 32 children to observe a short clip depicting either their favorite superhero,a parent,a teacher,or no person at all (n = 8 per group).If  = 30 and  = 104,then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?

Accepted Answer

The answer of A researcher randomly assigned 32 children to...

Question 9

Computing a one-way between-subjects ANOVA is appropriate when

Accepted Answer

A one-way between-subjects ANOVA is appropriate when different participants are observed one time in each of two or more groups for one factor. This is because the analysis compares the mean differences between groups and assumes that there is no overlap or correlation between the participants in each group. The other options (B and C) describe different types of ANOVA designs that are not necessarily appropriate for a one-way between-subjects ANOVA.

Question 10

Following a significant one-way between-subjects ANOVA in which k > 2,what is the next appropriate step?

Accepted Answer

After a significant one-way between-subjects ANOVA in which k>2, it is necessary to conduct post-hoc tests to determine which specific groups differed significantly from each other. This helps to avoid making erroneous conclusions about the data. Therefore, choice C is the best answer.

Question 11

A professor compared differences in class grades between students in their freshman,sophomore,junior,and senior years of college.If different participants were in each group,then what type of statistical design is appropriate for this study?

Accepted Answer

A one-way between-subjects ANOVA is appropriate for this study as it involves comparing the means of a single independent variable (years in college/freshman, sophomore, junior, or senior) on a dependent variable (class grades). This design assumes that each group of participants (freshman, sophomore, etc.) is distinct and there is no overlap between them. A two-independent sample t test would compare the means of two independent groups, while a two-way between-subjects ANOVA would involve two independent variables and their interaction on a dependent variable.

Question 12

When the variability attributed to between-groups is equal to the variability attributed to error,then the value of the test statistic for a one-way between-subjects ANOVA is,

Accepted Answer

When the variability attributed to between-groups is equal to the variability attributed to error, the F-ratio (test statistic) will be equal to 1. This means that there is no significant difference between the groups, and we fail to reject the null hypothesis.

Question 13

Homogeneity of variance is an assumption for the one-way between-subjects ANOVA.What does this assumption mean?

Accepted Answer

Homogeneity of variance means that the variance is equal in each population from which samples are selected. This assumption is important because if the variances are not equal, it can affect the accuracy of the results and the interpretation of the data.

Question 14

A researcher randomly assigned 16 rodents to experience one of four levels of shock (n = 4 per group)following the illumination of a visual cue.If  = 24 and  = 48,then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?

Accepted Answer

The answer of A researcher randomly assigned 16 rodents to...

Question 15

In a study with four groups and 10 participants in each group,the sum of squares for the between-groups source of variation is 60.What is the value for the mean square between-groups in this study?

Accepted Answer

The answer of In a study with four groups and...

Question 16

A researcher conducts two studies on child health.In Study 1,30 children consume either a low-,moderate-,or high-fat meal (n = 10 per group).In Study 2,the researcher conducts the same study,except that a No Meal control group is added,with n = 10 in each group.If  = 3.11 in both studies,then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?

Accepted Answer

The answer of A researcher conducts two studies on child...

Question 17

A researcher computes the following one-way between-subjects ANOVA table.State the decision at a .05 level of significance.(Hint: Complete the table first. )

Accepted Answer

We cannot determine the decision without seeing the completed ANOVA table.

Question 18

A researcher measures differences in romantic feelings among adolescent and adult males.If different participants were in each group,then what type of statistical design is appropriate for this study?

Accepted Answer

The answer of A researcher measures differences in romantic feelings...

Question 19

A researcher assigns 21 adolescents to rate the likability of a person described in a vignette as having one of three personality traits.An equal number of participants are assigned to each group.If  = 4.08 for this study,then what was the decision at a .05 level of significance for a one-way between-subjects ANOVA?

Accepted Answer

The fact that the researcher calculated the F-value and provided the degrees of freedom (11 and 9) suggests that the null hypothesis was an assumption in this study. Given that the level of significance is .05 and that the F-value is significant, the most appropriate decision would be to reject the null hypothesis and conclude that there is a statistically significant difference among the three personality traits.

Question 20

A researcher computes the following one-way between-subjects ANOVA table for a study where k = 3 and n = 12.State the decision at a .05 level of significance.(Hint: Complete the table first. )

Accepted Answer

The answer of A researcher computes the following one-way between-subjects...

Quiz 12: Analysis of Variance: One-Way Between-Subjects Design