STAT368 Lecture Notes - Confidence Interval, Null Hypothesis, Linear Combination
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Testing whether or not certain treatments have the same e ects often involves estimating the vari- ance among the group averages, and comparing this to an estimate of the underlying, residual variation. The former is attributed to di erences between the treatments, the latter to natural vari- ation that one cannot control. Large values of the ratio of these variances indicates true treat- ment di erences. Then 0 is the numerical value of for = 1 2 and 2. 2 where the two de nition of an freedom: 2 s are independent; this is the: degrees of r. v. on ( 1. Inferences involving just one mean (or the di er- ence between two means) can be based on the - distribution. One can generally reduce the prob- lem to the following. Thus 0 = ratio of independent r. v. s. 1) q 2 this is the de nition of student s on d. f.