Testing statistical hypotheses using parametric tests (PDF)

Seminar paper from the year 2022 in the subject Mathematics - Statistics, grade: 1,3, International University of Applied Sciences, language: English, abstract: The pandemic has spread during the last two years dramatically. In Germany alone roughly 25,66 million confirmed cases and 137 348 confirmed Corona deaths were documented. Interestingly the highest number of confirmed cases was around 1,6 million on the 21st March of 2022 while the confirmed death counts were at 1 520 in Germany at the same day. Conversely, this means that the counted deaths are roughly 1 000 times lower than the infection levels, while the highest death count was detected at the 14th of December in 2020 with a value of 6 410 with roughly 170 00 confirmed cases. Meaning that around 27 times less deaths were confirmed in comparison to infection cases.

The decrease of Corona deaths may be caused by the introduction of the Corona vaccinations. With the help of the accumulated data during the pandemic, the effect of the vaccination can be tested against the hospitalization values of Corona patients with statistical tests (Robert-Koch Institut, 2022). The test does indirectly adress the issue towards the decreasing Corona deaths with increasing infection cases. The increasing value of confirmed cases clearly shows, that the vaccination does not inhibit the infection, but somehow may have an weakening effect on the course of the disease. The approach mainly focus on different vaccination status and age groups of hospitalized Corona patients in Germany. Not included are factors like the Corona variation and the specific vaccines. Statistical tests to address such questions are parametric tests, which are powerful tools to evaluate data following a normal distribution. Within the assignment, two parametric tests are presented (pearson correlation coefficient and one-way ANOVA), while the one-way ANOVA was chosen to adress the question of interest desribed above. The results of the analysis indicate significant differences between hopsitalized Corona patients with different vaccination status, which is discussed in detail in the conclusion.