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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?
500 trials where each trial consists of tossing four coins and counting the number of heads. find the number of cases
What were the actual percentages of local high school students in each category? (Round answer to two decimal places) State an appropriate null hypothesis for this analysis. What is the value of the chi-square statistic
payment times of 100 randomly selected cus- tomers this month had an average of 35 days. the standard deviation from
a vertical line is drawn through a normal distribution at z -1.00. the line separates the distribution into two
warren buffy is an enormously wealthy investor who has built his fortune through his legendary investing acumen. he
A company has developed the new battery, but the average lifetime is unknown. In order to estimate the average, a sample of 150 batteries is tested and an average lifetime of this sample is found to be 250 hours.
This result applies no matter what the shape of the probability distribution from which the samples are taken. Central Limit Theorem: How Large a Sample?
An urn always contains 2 balls. Ball colors are red and blue. At each stage a ball is randomly chosen and then replaced by a new ball, which with probability 0.8 is the same color, and with probability 0.2 is the opposite color, as the ball it rep..
Create an operational definition of your construct using at least three peer-reviewed journal articles as references. Select and list five items used to sample the domain.
Then describe trade-offs which will happen when you lower sample to $10,000 to meet their budget.
frans convenience marts are located throughout a metropolitan area. fran the owner would like to expand into other
The scores on an aptitude test required for entry into a certain job position have a mean of 500 and a standard deviation of 120. If a random sample of 36 applicants has a mean of 546, is there evidence that their mean score is different from the ..
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