Comparison of Two Normal Distributions
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Abstract
For two normal populationsN(μ1,σ12)andN(μ2,σ22), the current paper investigates the hypothesis test problem: H0:μ1=μ,σ12=σ22 versus H1:μ1≠μ,σ12≠σ22 The corresponding likelihood ratio statistic is derived and its distribution is discussed. We present the criteria table when a = 0.05 and a = 0.01. The strategy of calculating the criteria table is discussed in detail, and the corresponding SAS codes are shown also.
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