Exam 11: One-Way Analysis of Variance Anova

A researcher hypothesizes that people who currently own a Toyota automobile are less likely to believe Toyotas are dangerous than people who drive American made cars, who are in turn less likely to believe Toyotas are dangerous than people who do not drive. In conducting a one-way ANOVA with this data, how should the alternative hypothesis (H₁) be stated?

______ is a statistical procedure used to control familywise error in situations in which a researcher compares each group with each of the other groups.

A researcher hypothesizes that drug experimentation is higher with seniors than juniors, higher in juniors than sophomores, and higher in sophomores than in first year high school students. In conducting a one-way ANOVA with this data, how can the null hypothesis (H₀) be stated?

George calculates the F-ratio for a one-way ANOVA comparing the means of three groups: Group A (M = 4.12), Group B (M = 7.37) and Group C (M = 8.92). If he makes the decision to reject the null hypothesis, what is the most specific and appropriate conclusion he can make?

The main purpose of conducting analytical comparisons is to ______.

The formula for the ______ of the t-test and F-ratio concerns ______ and involves group ______.

When making a decision about the null hypothesis using the Tukey test, what is the first step?

A researcher calculates an F-ratio comparing the GPAs of three different SJSU majors: Major A (M = 2.40), Major B (M = 2.16) and Major C (M = 3.05). If she makes the decision to reject the null hypothesis, what is the most specific and appropriate conclusion she can draw?

Which type of analytic comparisons is made when the researcher has a specific hypothesis regarding which groups should be included?

Betty conducts a one-way ANOVA comparing five groups, each of which consists of 10 participants (N = 10). In this situation, what is dfWG?

______ variability may also be thought of as ______.

The F-ratio is calculated by ______ different types of variability.

The concept and calculation of 'variance' is primarily concerned with ______.

A researcher hypothesizes that drug experimentation is higher with seniors than juniors, higher in juniors than sophomores, and higher in sophomores than in first year high school students. In conducting a one-way ANOVA with this data, how can the alternative hypothesis (H₁) be stated?

The concept and calculation of 'variance' is primarily concerned with ______.

Boop conducts a one-way ANOVA comparing four groups, each of which consists of 6 participants (N = 6). In evaluating the F-ratio for this analysis, what is the critical value for α = .05?

One part of raising children is having to discipline them. Hoffman (1963) described three common discipline methods used by parents: power assertion (use of punishment, force, taking away of privileges or possessions), love withdrawal (ignoring or refusing to speak to the child, explicitly stating a dislike for the child), and induction (reasoning with the child, communicating standards of behavior). Barnett, Quackenbush, and Sinisi (1996) noted that little attention had been given to children's preferences for these different methods. From reviewing the literature, they hypothesized children express a greater preference for induction than power assertion, which in turn is preferred over love withdrawal. They collected data from a sample of middle school students. Each student watched a videotape of a parent disciplining a child using one of the three forms of discipline. After viewing the videotape, each student rated the effectiveness of the discipline on a 1 to 5 scale, where 1 = "Not at all effective" and 5 = "Very effective". The results of their analyses are presented below: You decide to conduct the analytical comparison of Induction vs. Power assertion. Given the information above, what is the value for the F-ratio for this analytical comparison (F_comp)?

If an F ratio is ______ the critical value, I will ______ the null hypothesis because ______.

A one-way ANOVA is conducted comparing 4 groups, each with 5 participants. For this sample the dfBG _is ______ and the dfWG is ______ with a total sample size of ______.

In a research situation that involves making complex comparisons (analytical comparisons that involve more than two groups), which statistical procedure is used to control familywise error?