Why Are Assumptions and Post-Hoc Tests Needed?
Too often, researchers rely heavily on whether a p value is less than .05 or whether an “r” is close to +/- 1. But both assumptions and post-hoc tests ensure that all factors have been adequately considered.
Develop an original response proposing a scenario where either:
assumptions tests were not properly performed, and the wrong statistical procedure was applied, giving inaccurate results; or post-hoc procedures were not applied to contextualize the results and, although the null hypothesis was rejected, power and effect were not considered.
Describe the scenario hypothetically and propose ways you could avoid such situations in your own application of statistics in research in the future.
Why Assumptions and Post-Hoc Tests are needed
Student’s Name
Institutional Affiliation
Why Assumptions and Post-Hoc Tests are needed
Scenario
A group of researchers are exploring the impact of a novel fertilizer on crop production by implementing a randomized controlled trial (RCT) design. The researchers proceeded to allocate land plots to either the new fertilizer or a control group using standard fertilizer. Following the harvest, they scrutinize the crop yield data and identify a statistically significant contrast between the two groups (p < 0.05), revealing that the new fertilizer group exhibits a superior average yield. However, they omit a power analysis to ascertain the necessary sample size for detecting a genuine fertilizer effect. Moreover, they neglect to disclose the effect size, which quantifies the extent of the