Exam 10: Hypothesis Testing III: the Analysis of Variance

Which of the following correctly states the relationship between SST (the total sum of squares),SSB (the sum of squares between),and SSW (the sum of squares within)?

The ANOVA test will tolerate some violation of the model assumptions as long as

The sampling distribution for the ANOVA test is

A researcher is analyzing regional differences in family size.She has information on number of children for samples of families from four regions.Which of the following would be an appropriate statistical test?

In the ANOVA test,what assumption must be made with regard to the population variances?

In the ANOVA test,degrees of freedom within (dfw)are equal to (N - k)and degrees of freedom between (dfb)are equal to ____.

A researcher has analyzed differences in average College Board scores for random samples of students from four different colleges.The obtained F score is 0.45.What can be concluded about the null hypothesis?

The research hypothesis for the ANOVA test is

The ANOVA test is designed for dependent variables that have been measured at

A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week.Are the differences significant? Use the five step model as a guide and write a sentence or two of interpretation for your results. Working Middle Upper 10 11 7 9 10 5 4 5 2 2 2 0 1 0 0

With the ANOVA test,the ____ the difference between categories,relative to the differences within,the ____ likely that the null hypothesis will be rejected.

In the ANOVA test,if the null hypothesis is false,the means of the different sample should be ____ and the standard deviation of the different samples should be ____.

The F ratio is equal to

The F ratio is a ratio of ____.

For ANOVA,we construct two estimates of the population variance.These are called

Three different sections of the same Interstate highway,with roughly equal traffic volumes,have been patrolled by the State Police at different levels of intensity for the past six months.The posted speed limit is 55 and the speeds of a random samples of motorists have been registered for each of the three sections.Is there any statistically significant difference in the speeds? Use the five step model as a guide and write a sentence or two of interpretation for your results. Lightly Moderately Heavily 55 57 50 48 58 51 58 58 60 65 55 58 72 55 55 67 59 52 54 58 55 65 54 53

A researcher is comparing random samples of white,black,and Hispanic Americans for differences in income,family size,and years of education.Which of the following tests of significance would be useful for all three dependent variables?

ANOVA is appropriate for situations in which

If we fail to reject the null hypothesis in a test using analysis of variance,we are concluding that

If our F (obtained)exceeds the F (critical),we