TABLE 12-13
Recent studies have found that American children are more obese than in the past.The amount of time children spent watching television has received much of the blame.A survey of 100 ten-year-olds revealed the following with regards to weights and average number of hours a day spent watching television.We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% level of significance.
-Which of the following is a "robust" test procedure against the violation of distribution assumptions?

Question

TABLE 12-13
Recent studies have found that American children are more obese than in the past.The amount of time children spent watching television has received much of the blame.A survey of 100 ten-year-olds revealed the following with regards to weights and average number of hours a day spent watching television.We are interested in testing whether the mean number of hours spent watching TV and weights are independent at 1% level of significance.

-Which of the following is a "robust" test procedure against the violation of distribution assumptions?

Quizplus · Accepted Answer

The Wilcoxon rank sum test for difference in medians is a non-parametric test and is therefore a robust test procedure against the violation of distribution assumptions. It does not assume any particular distribution for the data and is suitable for comparing two independent samples. The other options (χ² test of independence, McNemar test for the difference between two proportions, and χ² test for the differences among more than two proportions) all assume normality or independence assumptions, and may not be suitable for non-parametric data or non-independent samples.

TABLE 12-13 Recent Studies Have Found That American Children Are More Obese