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Unformatted text preview: SUNY at Albany  Department of Economics Eco 320 • Economic Statistics Chisquare Distribution SUNY at Albany  Department of Economics Eco 320 • Economic Statistics SUNY at Albany  Department of Economics SUNY at Albany  Department of Economics Chisquare Distribution 0.0 0.1 0.2 0.3 0.4 0.5 0.0 5.0 10.0 15.0 20.0 25.0 Density k = 2 k = 10 k = 5 Mean = k Var = 2 k SUNY at Albany  Department of Economics Eco 320 • Economic Statistics SUNY at Albany  Department of Economics SUNY at Albany  Department of Economics 1. ChiSquare Distribution A. • X: a continuous random variable and 0 < X < +∞ • k : degrees of freedom • k is a parameter. A Chisquare distribution completely determined by k . population mean = k ; population variance = 2 k . The chisquare distribution is skewed. The degree of the skewness depends on the k . For small k (few d.f.), the distribution is highly skewed to the right. As the k increases, the distribution becomes increasingly symmetrical and approaches the normal distribution. 2 ~ k X SUNY at Albany  Department of Economics Eco 320 • Economic Statistics SUNY at Albany  Department of Economics SUNY at Albany  Department of Economics 2. Properties of ChiSquare Distribution 2....
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 Spring '11
 Chan
 Economics, Normal Distribution, Department of Economics, SUNY, Economic Statistics, 0.4 k, 2 0.3 0.2 k

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