Chi | variance chi square distribution
Thedistributionofthechi-squarestatisticiscalledthechi-squaredistribution. Inthislesson,welearntocomputethechi-squarestatisticandfindtheprobability associatedwiththestatistic.Andwellworkthroughsomechi-squareexamplestoillustratekeypoints. TheChi-SquareStatistic Supposeweconductthefollowing statisticalexperiment[1].Weselectarandomsampleofsizenfrom anormalpopulation,havingastandarddeviationequaltoσ. Wefindthatthestandarddeviationinoursampleise...
The distribution of the chi-square statistic is called the chi-square distribution. In this lesson, we learn to compute the chi-square statistic and find the probability associated with the statistic. And well work through some chi-square examples to illustrate key points.
The Chi-Square StatisticSuppose we conduct the following statistical experiment[1]. We select a random sample of size n from a normal population, having a standard deviation equal to σ. We find that the standard deviation in our sample is equal to s. Given these data, we can define a statistic[2], called chi-square, using the following equation:
Χ2 = [ ( n - 1 ) * s2 ] / σ2
The distribution of the chi-square statistic is called the chi-square distribution. The chi-square ...