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ANOVA with one observation per treatment (optional). If a two-way layout has just one observation for each treatment, the mean square for error (MSE) is 0 because there is no variation within each treatment group. The usual two-way ANOVA F tests can't be done, because they have MSE in their denominators. But if we are willing to assume that there is no interaction between the two factors, the interaction mean square can be used as the denominator of F statistics for testing the two main effects. Software usually allows you to choose "no interaction." Here is an example. Does the addition of sodium chloride change brick quality? One measure of quality is "resistance anisotropy," which combines the results of ultrasound and mechanical tests. Researchers tested two types of bricks, one without sodium chloride (MPW) and one with sodium chloride (MPS), at three firing temperatures (850, 1000, and 1100 degrees Celsius). Here are the data for one brick per treatment:18
(a) Make a plot of the group means (which are the same as the individual observations). Is the interaction between type of brick and firing temperature small? If so, it may be reasonable to assume that in the population there is no interaction.
(b) The researchers did fit a two-way ANOVA model without interaction. Use statistical software to obtain this two-way ANOVA table. What do you conclude about the main effects?
we write the numbers 1 -10 on separate pieces of paper and put them into a box. a number is drawn from the box. find
Suppose that highway gas mileage rates for both of these cares are uniformly distributed over a range of 20 to 30 mpg. What proportion of these cars would fall into the 22 to 27 mpg range? Compute the proportion of cars that get more than 28 m..
Prepare a 700- to 1,050-word paper in which you address all of the following items: Examine the sources and purposes of criminal law. Identify and explain jurisdiction to create and enforce criminal law.
Who inhaled oxytocin were more likely to give their money to a trustee compared to people who inhaled an inactive placebo. For this experimental study, identify the independent variable and the dependent variable.
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost perunit is $25. The revenue per unit is projected to be $45. Write a mathematical expression for total cost.
Explain the difference between testing a single mean and testing the difference between two means. What two assumptions must be met when one is using z test to test differences between two means?
a drug tester claims that a drug cures a rare skin disease 77 of the time. the claim is checked by testing the drug on
Is contamination with the two kinds of bacteria disjoint? Explain. (c) Is contamination with the two kinds of bacteria independent? Explain.
Compute the value of z and state your decision regarding the null hypothesis.
Decision analysis can be used on itself! What do you want to accomplish in studying decision analysis? Why is decision analysis important to you? In short, what are your fun damental objectives in studying decision analysis?
Identify the letter of the choice that best completes the statement or answers the question.
1. In the game in Exercise 6, let p = q = 1/2 and M = 10. What is the probability that the gambler's stake equals M at least 20 times before it returns to 0? 2. Write a computer program which simulates the game in Exercise 6 for the case p = q = 1/2..
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