Explain the rationale for selection of statistical tests Explain this thoroughly using clear example and ensure it’s free from plagiarism
The selection of statistical tests is a crucial part of any research process. The purpose of using statistical tests is to make inferences from the sample data about the population from which it is drawn, thereby answering research questions or testing hypotheses. The rationale behind selecting specific tests depends on various factors:
Factors Influencing Test Selection:
Type of Data: Depending on whether your data is nominal, ordinal, interval, or ratio, different tests are applicable.
Distribution: Tests can be parametric (assuming data follows a certain distribution like the normal distribution) or non-parametric (no assumptions about the distribution).
Sample Size: Some tests, like the t-test, are better for smaller samples, while others like the z-test are better for larger samples.
Number of Groups or Variables: The number of groups you're comparing or the number of variables you're assessing also affects test selection.
Level of Measurement: Different tests are suited for different levels of measurement like nominal, ordinal, interval, or ratio.
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