Zellhäufigkeiten

Zellhäufigkeiten, also known as cell frequencies or counts, refer to the number of observations or individuals that fall into a specific category or cell within a data table. This concept is fundamental in statistics, particularly in the analysis of categorical data. When data is organized into a contingency table, the entries in each cell represent the Zellhäufigkeiten for the combination of categories represented by that cell's row and column.

For instance, in a survey examining the relationship between gender and preferred fruit, a contingency table might have rows for "Male" and "Female" and columns for "Apple," "Banana," and "Orange." The Zellhäufigkeit in the cell where "Male" intersects with "Apple" would indicate the number of males who prefer apples.

Understanding Zellhäufigkeiten is crucial for various statistical tests. For example, chi-squared tests of independence or goodness-of-fit rely heavily on comparing observed Zellhäufigkeiten with expected frequencies calculated under a null hypothesis. These comparisons help determine if there is a statistically significant association between variables or if the observed distribution deviates significantly from a theoretical one. Analyzing patterns in Zellhäufigkeiten allows researchers to identify trends, differences, and relationships within their datasets.