Exam 13: Analysis of Variance

A police chief wants to determine if crime rates are different for four different areas of the city (East(1), West(2), North(3), and South(4) sides), and obtains data on the number of crimes per day in each area. The one-way ANOVA table is shown below. The competing hypotheses about the mean crime rates are ________.

The following is an incomplete ANOVA table. The p-value of the test is ________.

The following is an incomplete ANOVA table. The sum of squares due to treatments is ________.

Psychology students want to determine if there are differences between the ability of business majors and science majors to solve various types of analytic problems. They conduct an experiment and record the amount of time it takes to complete each analytic problem. The following Two-Way ANOVA table summarizes their findings. The number of different analytic problems the students solved is ________.

For a one-way ANOVA, which of the following formulas is used to compute the grand mean?

The interaction test is performed before making any conclusions based on the tests for the main effects.

Which of these null hypotheses is applicable for a two-way ANOVA test with interaction?

AutoTrader.com would like to test if a difference exists in the age of three different types of vehicles currently on the road: trucks, cars, and vans. The following data represent the age of a random sample of trucks, cars, and vans. The sum of squares within SSE for these observations is ________.

A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers). The data and an incomplete ANOVA table are shown below. At the 5% significance level, the conclusion for the hypothesis test about the interaction term is ________.

The following is an incomplete ANOVA table. The value of the test statistic is ________.

A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers). The data and an incomplete ANOVA table are shown below. For the analysis with an interaction between spending category and generation, the first hypothesis test to conduct should be about ________.

Consider the partially completed two-way ANOVA (with interaction) summary table. The mean square for interaction MSAB is ________.

For a two-way ANOVA with no interaction, which of the following is the correct degrees of freedom when computing MSE?

In a two-way ANOVA test, how many null hypotheses are tested?

A fund manager suspects there is an interaction between fund market cap (either small, mid, or large) and the fund objective (either growth or value) on the average annual fund performance. The fund manager obtains data and produces the following incomplete two-way ANOVA table. a. Complete the ANOVA table. B) At the 5% significance level, can you conclude there is interaction between market cap and objective? C) Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level.

Which of the following is the assumption that is not applicable for a one-way ANOVA test?

A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers). The data and an incomplete ANOVA table are shown below. Which of the following are the competing hypotheses for the hypothesis test about the interaction?

A researcher with the Ministry of Transportation is commissioned to study the drive times to work (one-way) for U.S. cities. The underlying hypothesis is that average commute times are different across cities. To test the hypothesis, the researcher randomly selects six people from each of the four cities and records their one-way commute times to work. Refer to the below data on one-way commute times (in minutes) to work. Note that the grand mean is 36.625. Based on the sample standard deviation, the one-way ANOVA assumption that is likely not met is ________.

Which of the following is the pooled estimate of the common population variance for Fisher's LSD method?

A researcher wants to understand how an annual mortgage payment (in dollars) depends on income level and zonal location using a two-way ANOVA without interaction. The data and an incomplete ANOVA table are shown below. The p-value for the hypothesis test about factor B is ________.