Chi Square Distribution Degrees Of Freedom. The chi square distribution is a special case of the gamma distribution and is one of the most widely used probability distributions in inferential statistics notably in hypothesis testing and in construction of confidence intervals. Most tables go up to 30 degrees of freedom.
For upper tail one sided tests the test statistic is compared with a value from the table of upper tail critical values. The degrees of freedom of the distribution is equal to the number of standard normal deviates being summed. The degrees of freedom is equal to rows 1 columns 1 2 1 3 1 2 and the problem told us that we are to use a 0 05 alpha level.
The chi square distribution is a special case of the gamma distribution and is one of the most widely used probability distributions in inferential statistics notably in hypothesis testing and in construction of confidence intervals.
Find the cell in the table corresponding to your alpha level and degrees of freedom. If you want to practice calculating chi square probabilities then use df n 1 d f n 1. In probability theory and statistics the chi square distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. For upper tail one sided tests the test statistic is compared with a value from the table of upper tail critical values.