Exam 14: Factorial Analysis of Variance

A researcher is studying the effects of physical activity (low, moderate, and high), gender (male, female), and diet (low fat, low carb, intermittent fasting, and vegan) on blood cholesterol levels. What is the correct notation for this study?

In a factorial ANOVA with df_bet(A) = 4, df_bet(B) = 3, and df_wi = 100, N_tot = _________.

Reaction time is measured after a weight lifting exercise for six different groups. Factor A was the amount of the weights lifted (5, 10, or 15 pounds). Factor B was age group (teenager or adult). The researchers found that the reaction time for the different age groups did not depend on the amount of weights lifted. Based on this information, the researchers can conclude that

Suppose a study is examining the mean enjoyment ratings for different types of television programs (Factor A) according to gender (Factor B). In one study, females gave a mean enjoyment rating of 17 to cooking shows and 8 to westerns. Males gave a mean rating of 10 to cooking shows and 15 to westerns. Does there appear to be an interaction effect between Factors A and B? Create a line graph to help make this determination. Put Factor A along the horizontal axis.

How many significance tests would be conducted for a two-way ANOVA?

The results of two factors can be examined using a

A 4 x 3 factorial analysis of variance was conducted with results showing a significant interaction. In addition to the interaction, we can conclude that

What is df_bet(AB) for a 3 x 4 ANOVA?

How many main effects are possible in a 3 x 2 x 3 ANOVA?

The null hypothesis for the interaction between factors A and B of a two-way ANOVA is that

The information provided by a factorial ANOVA includes

A 3 x 3 ANOVA is conducted with 45 participants distributed equally across all conditions. How many groups were there and what was the sample size of each group?

What is the difference between a one-way ANOVA and a factorial ANOVA?

How many F-statistics are required for a 3 x 4 ANOVA?

If the results of a 2 x 3 ANOVA produce a significant interaction as well as a significant main effect for one of the factors, then

A researcher is studying the effects of room temperature and music on basic logic skills (dependent variable). Room temperature (Factor A) was varied at three levels: warm, moderate, and cool. Soft background music (Factor B) was either present or absent. Participants were given twenty minutes under these varying conditions to solve fifteen simple logic problems. Sum of squares and degrees of freedom values are provided in the table below. Assume an alpha level of α = .01. A) Complete the table. B) Determine F_crit for each of the main effects and the interaction effect. C) Using words, write a statement of conclusion

How many independent variables are involved in a 2 x 2 factorial ANOVA?

In a two-way ANOVA, there are __________ sources of between-treatments variance.

In the line graph of a two-way ANOVA, no significant interaction would be suggested by lines that

If df_tot = 63, df_bet(A) = 3, df_bet(B) = 3, and df_bet(AB) = 9, what is df_wi?