Exam 14: Analysis of Variance

Food Irradiation In recent years the irradiation of food to reduce bacteria and preserve the food longer has become more common.A company that performs this service has developed four different methods of irradiating food.To determine which is best, it conducts an experiment where different foods are irradiated and the bacteria count is measured.As part of the experiment the following foods are irradiated: meat, poultry, veal, tuna, and yogurt.The results are shown below. -{Food Irradiation Narrative} Set up the ANOVA Table.Use $\alpha$ = 0.01 to determine the critical values.

If SST explains a significant portion of the total variation, we conclude that the population means ____________________ (do/do not) differ.

Which of the following is not a required condition for one-way ANOVA?

The number of degrees of freedom for the denominator in one-way ANOVA test involving 4 population means with 15 observations sampled from each population is:

In one-way ANOVA, the amount of total variation that is unexplained is measured by the:

SST measures the variation ____________________ treatments.

SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

Conducting t-tests for each pair or population means is statistically equivalent to conducting one F-test comparing all the population means.

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD) multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

In the one-way ANOVA where k is the number of treatments and n is the number of observations in all samples, the degrees of freedom for treatments is given by:

The techniques used to detect which population means differ are called multiple ____________________ methods.

If you plan to compare all possible combinations of pairs of population means, the multiple comparison method to use is ____________________ method.

Migraine Treatments The following data were generated from a 2 x2 factorial experiment with 3 replicates, where factor A levels represent two different injection procedures of an anesthetic to the occipital nerve (located in the back of the neck), and factor B levels represent two different drugs, which physicians recommend to increase the effectiveness of the injections.Three migraine patients were randomly selected for each combination of injection and drug. -{Migraine Treatments Narrative} Test at the 5% significance level to determine if differences exist among the four treatment means.