You Are Presented with Data from Two Independent Samples

question 4

Essay

You are presented with data from two independent samples. The variable being measured is numerical and continuous-valued. The distribution of the population of each sample is right skewed. You wish to test the hypothesis that there is a difference in the median value of the variable for the samples. What type of test/method should you use? Explain why the t-test is not the best method in this situation.

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Definitions:

Nonparametric Test

A type of statistical test that does not assume a specific distribution for the data, often used when data doesn't meet the assumptions required for parametric tests.

Normally Distributed

Describes a probability distribution that is symmetrical around its mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Abnormally Distributed

Indicative of a probability distribution that does not follow a normal distribution pattern, potentially skewed or featuring heavy tails.

Un-standardized Test Statistic

A test statistic that has not been converted to a standard form, representing raw effect sizes or differences observed in data.