![]() Understanding the Fundamentals of Arithmetic and Geometric Progression Lesson - 11 The Best Guide to Understand Bayes Theorem Lesson - 6Įverything You Need to Know About the Normal Distribution Lesson - 7Īn In-Depth Explanation of Cumulative Distribution Function Lesson - 8Ī Complete Guide to Chi-Square Test Lesson - 9Ī Complete Guide on Hypothesis Testing in Statistics Lesson - 10 The Ultimate Guide to Understand Conditional Probability Lesson - 4Ī Comprehensive Look at Percentile in Statistics Lesson - 5 The Best Guide to Understand Central Limit Theorem Lesson - 2Īn In-Depth Guide to Measures of Central Tendency : Mean, Median and Mode Lesson - 3 Book traversal links for 15.Everything You Need to Know About the Probability Density Function in Statistics Lesson - 1 ![]() Therefore, the probability that a chi-square random variable with 10 degrees of freedom is greater than 15.99 is 1−0.90, or 0.10. The table tells us that the probability that a chi-square random variable with 10 degrees of freedom is less than 15.99 is 0.90. Read the probability headed by the column in which the 15.99 falls.In this case, we are going to need to read the table "backwards." To find the probability, we: just a minute ago, I said that the chi-square table isn't very helpful in finding probabilities, then I turn around and ask you to use the table to find a probability! Doing it at least once helps us make sure that we fully understand the table. Now, all we need to do is read the chi-square value where the \(r=10\) row and the \(P(X\le x)=0.10\) column intersect. Find the column headed by \(P(X\le x)=0.10\).To find x using the chi-square table, we: The tenth percentile is the chi-square value \(x\) such that the probability to the left of \(x\) is 0.10. Now, all we need to do is read the chi-square value where the \(r=10\) row and the \(P(X\le x)=0.95\) column intersect. Find the column headed by \(P(X\le x)=0.95\).Find \(r=10\) in the first column on the left.The upper fifth percentile is the chi-square value x such that the probability to the right of \(x\) is 0.05, and therefore the probability to the left of \(x\) is 0.95. Let's get a bit more practice now using the chi-square table. ![]() statistical software, such as SAS or Minitab! For what we'll be doing in Stat 414 and 415, the chi-square table will (mostly) serve our purpose. What would you do if you wanted to find the probability that a chi-square random variable with 5 degrees of freedom was less than 6.2, say? Well, the answer is, of course. For example, if you have a chi-square random variable with 5 degrees of freedom, you could only find the probabilities associated with the chi-square values of 0.554, 0.831, 1.145, 1.610, 9.236, 11.07, 12.83, and 15.09: P( X ≤ x) But, as you can see, the table is pretty limited in that direction. Now, at least theoretically, you could also use the chi-square table to find the probability associated with a particular chi-square value. Determine the chi-square value where the \(r\) row and the probability column intersect.Find the column headed by the probability of interest.Find the row that corresponds to the relevant degrees of freedom, \(r\).In summary, here are the steps you should use in using the chi-square table to find a chi-square value:
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