Question.3664 - Why is it that gamma can show direction of an association and Lambda does not? Hint: think about the types of measures that each statistic is used for (i.e., nominal, ordinal, interval/ratio). Looking at the results for Somers'd on the website, how come you would want to analyze the Somers'd for the father's education level as the independent variable and not child's level of education? 3.The gamma value is.484. What do you make of the statistic that knowing a father's education level can improve our prediction of the child's education level by 48 percent? What happens if there is a zero in the crosstabulation when you want to analyze gamma? Please reference the article you just read to answer why you cannot analyze gamma if there is a zero in the crosstab. Note: I am not saying that gamma equals zero. You must cite and reference every week.
Answer Below:
Gamma uses only ordinal variables and can show the direction of an association between those variables, whereas lambda uses nominal variables. Given that the child's education depends on the father's education, it makes greater sense to think of the father's education as an independent variable. A high education level in the father may lead to a greater probability of a high education level in the child. It demonstrates the impact on the child's level of education. The father and child's educational levels are positively associated, as indicated by the gamma value of.484. The child will have a higher level of education in line with the father's level of education. The child's education is expected to improve by 48.4%, depending on the father's educational attainment. When we want to analyze gamma and find zero in the cross-tabulation, it means that a relationship does not exist between the two variables (Clark, 2021). References Clark, R. (2021). Bivariate Analyses: Crosstabulation. Pressbooks.ric.edu. https://pressbooks.ric.edu/socialdataanalysis/chapter/bivariate/ Ordinal Association. (n.d.). Statistics Solutions. https://www.statisticssolutions.com/free-resources/directory-of-statistical-analyses/ordinal-association/More Articles From Statistics