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Generalizations of the linear-by-linear model (7.11) analyze association between ordinal variables X and Y while controlling for a categorical variable that may be nominal or ordinal. The model with ordered scores {ui} and {vj } is a special case of model (XY, XZ, YZ) that replaces λXY ij by a linear-by-linear term.
a. Show that the XY conditional independence model (XZ, YZ) is a special case of this model. b. Assuming the ordinal model, explain how one could construct a test with df = 1 for testing XY conditional independence. c. For this model, equation (7.12) applies for the cells at each fixed level of Z. With unit-spaced scores, explain why the model implies that every local odds ratio in each partial table equals exp(β).d. If we replace β in this model by βk, is there homogeneous association? Why or why not? (The fit of this model is equivalent to fitting the L × L association model separately for each partial table.)
The final grades for a random sample of MKT 380 students are as follows: What is the standard deviation for these data?
1. Show that the set R\Q of irrational numbers, with usual topology (relative topology from R), is topologically complete. 2. Define a complete metric for R\{0, 1} with usual (relative) topology.
Use three decimal places in your answers for this problem. The following table was collected.
All but one of the following statements contain a blunder. Which one does not contain a blunder
Scientist decided to do a study on the population growth of rabbits. Inside a controlled environment, 1000 rabbits were placed - how many rabbits would be there
q1. calculate each of the following values for the data set below assume it is a population.3.42 4.10 4.15 4.19 4.26
recent recommendations suggest 60 minutes of physical activity per day. a sample of 50 adults in a study of
The number using each entrance is reported below. At the .01 significance level, is there a difference in the use of the four entrances?
Using the Data|Table command, tabulate the probability of acceptance for defective percentage ranging from 0% to 15% in steps of 1%.
country number of numbers drawn range of numbersunited kingdom 6 1 to 49finland 7 1 to 39florida 5 1 to 36assuming one
Experience indicates that 30% of the people entering a store make a purchase. Using (a) the binomial distribution and (b) the normal approximation to the binomial, ?nd the probability that out of 30 people entering the store, 10 or more will make ..
Calculate trial control limits for the two charts and on the assumption that the R chart is in control, estimate the process standard deviation.
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