chi-squared distribution table

A chi-squared distribution table is a reference tool used in statistics to determine the likelihood that observed data fits a specific expectation, particularly in goodness-of-fit tests and independence tests. It shows critical values for different degrees of freedom (related to sample size) and significance levels (probability thresholds). If a test statistic exceeds the critical value from the table, it suggests the observed data is unlikely under the assumption being tested. Essentially, the table helps researchers decide whether their data aligns with or deviates from expected patterns, aiding in making informed conclusions about relationships or differences in data sets.