Question: The measure of association lambda for nominal variables (Goodman and Kruskal 1954) has V(Y) = 1 max{ +j } and V(Y|i) = 1 rnax

The measure of association lambda for nominal variables (Goodman and Kruskal 1954) has V(Y) = 1 –max{π_+j} and V(Y|i) = 1 – rnax_j{π_j|i}. Interpret lambda as a proportional reduction in prediction error for predictions which select the response category that is most likely. Show that independence implies λ = 0 but that the converse is not true.

Step by Step Solution

★★★★★

3.49 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If in each row the maximum probability falls in the ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Categorical Data Analysis Questions!

Provide a 95% CI corresponding to the measure of association obtained in problem 11.82? Table 11.25: Change in bone density, femoral neck, over time Bone density, femoral neck (g/cm) (y) Time from...

In Develop Your Skills 2.5, Exercise 21, you were asked to produce a scatter diagram for data on household income and monthly spending on restaurant meals. Calculate an appropriate measure of...

Does the belief that women are not suited for politics vary by gender and/or educational attainment? GSS 2010 respondents were asked if they believe that women were not suited for politics (FEPOL)....

2.40 The measure of association lambda for nominal variables (Goodman and Kruskal 1954) has V (Y) = 1 - max{+ j } and V(Y\i) = 1 - max j { j |i }. Interpret lambda as a proportional reduction in...

2.39 Goodman and Kruskal (1954) proposed an association measure (tau) for nominal variables based on variation measure V (Y) = + j (1 + j ) = 1 2 +j . a. Show that V(Y) is the probability that two...

4. Refer to Table 2 to answer the questions below (2 questions at 4% each = 8%) Table 2. Cross-tabulation of class outcome by students' cheating (n = 35) Cheated Outcome Didn 't cheat Got caught...

work work work Write the letter of the correct denition from the column on the right on the line in front of the appropriate term on the left. univariate analysis bivariate analysis cross-tabulation...

Suppose you are interested in testing whether the mean earning of men in the General Social Survey is representative of the earning of the entire U.S. male population. The average male in the General...

Can I have a detailed explanation? Race Black Asian White Total Low 25 17 61 103 Perception of Air Pollution Medium 27 29 57 113 High 66 100 545 711 Total 118 146 663 927 A. Because RACE is a nominal...

6. Ronald Inglehart offers a particularly elegant and compelling idea about the future of economically advanced societies. According to Inglehart, the cultures of many post- industrial societies have...

Describe the following i. Introduction to python ii. History of python iii. Need of python programming iv. Applications of python v. Python identifiers vi. Python keywords vii. Variables in python...

A recent study in the Journal of the American Medical Association (February 20, 2008) found that patients who go into cardiac arrest while in the hospital are more likely to die if it happens after...

Of the following, which is a good reason for a separate estimate of site value? Group of answer choices appraisal of vacant land allocation for tax purposes use in the cost approach all of the above

=+5.18. (Estimating equations) A generalization of the WLS (see Example 5.8) is the following. Let Y denote the vector of observations and a vector of parameters of interest. Consider an estimator...

The table shows a small data set that has a pattern somewhat like that in Figure 3.22 in Example 14. As in that example, education is measured as the percentage of adult residents who have at least a...

The table shows results of whether the death penalty was imposed in murder trials in Florida between 1976 and 1987. For instance, the death penalty was given in 53 out of 467 cases in which a white...

Quad Enterprises is considering a new 3-year expansion project that requires an initial fixed asset investment of $3.6 million. The fixed asset falls into the 3-year MACRS class (MACRS Table) (TIP:...

A recent report in which a major pharmaceutical company released the results of testing that had been done on the cholesterol reduction that people could expect if they use the company's new drug...

1.Ayn banda, sarf malzemeleri 5.500 dolard. Ay boyunca 6.000 $'lk sarf malzemesi satn alnd. Ay sonunda, 4.000 adet malzeme hl hazr durumda. Ayar girii nedir? Sarf Malzemeleri hesabndaki biti...