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Model 1: Let's consider the logistic regression model, which we will refer to as Model 1, given bylog(pi / [1-pi]) = 0.25 + 0.32*X1 + 0.70*X2 + 0.50*X3 (M1),where X3 is an indicator variable with X3=0 if the observation is from Group A and X3=1 if the observation is from Group B. The likelihood value for this fitted model on 100 observations is 0.0850.(4) For X1=2 and X2=1 compute the log-odds for each group, i.e. X3=0 and X3=1.(5) For X1=2 and X2=1 compute the odds for each group, i.e. X3=0 and X3=1. (6) For X1=2 and X2=1 compute the probability of an event for each group, i.e. X3=0 and X3=1. (7)Using the equation for M1, compute the relative odds associated with X3, i.e. the relative odds of Group B compared to Group A. (8) Use the odds for each group to compute the relative odds of Group B to Group A. How does this number compare to the result in Question #7. Does this make sense?Model 2: Now let's consider an alternate logistic regression model, which we will refer to as Model 2, given bylog(pi / [1-pi]) = 0.25 + 0.32*X1 + 0.70*X2 + 0.50*X3 + 0.1*X4 (M2),where X3 is an indicator variable with X3=0 if the observation is from Group A and X3=1 if the observation is from Group B. The likelihood value from fitting this model to the same 100 observations as M1 is 0.0910.(9) Use the G statistic to perform a likelihood ratio test of nested models for M1 and M2. State the hypothesis that is being tested, compute the test statistic, and test the statistical significance using a critical value for alpha=0.05 from Table A.3 on page 375 in Regression Analysis By Example. From these results should we prefer M1 or M2?
The "x" values for red and brown are the counts of each we found on the Data page. You will need to calculate the weighted p?
Solve the following problem for distribution with a mean 80 and standard deviation of 10. Find out at least what percentage of values will fall between 60 and 100.
In a 1993 survey of 560 college students, 171 said that they used illegal drugs during the previous year. In a recent survey of 720 college students, 263 said that they used illegal drugs during previous year.
To select a _________ sample, an intact group of subjects that represent the population is selected.
Craft one page brief of the statistical results (include any additional pages needed for any APA tables or graphs and the SPSS syntax and output) in which you do the following:
You are trying to determine the statistical significance of an equation. Given the following information, test the slope of the equation at the 95% level of confidence.
For each lettered part, a through c, examine the two given sets of numbers. Without doing any calculations, decide which set has the larger standard deviation and explain why. Then check by finding the standard deviation by hand .
36 values given here are based on summary statistics from research by cumming. Do you think that these data are normally distributed?
Compute test statistic and p -value for each sample. (Negative amount must be pointed out by minus sign.)
What is the probability that they all hit the target?
Of the estimated natural gas reserves in North America, 4.59 *10^9 m ^3 are in United States. 2.66*10^9 m^3 are in Canada, and 1.99*10^9 m^3 are in Mexico.
What is the value of the population mean? What is the best estimate of this value?
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