Some formula you may need for Test-2

Some formula you may need for Test-2 - 1 1 2 2 1 2 1 1 p (...

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Some formulae you may need Parameter Estimator SE(Estimator) or its estimate Test Statistic and its distribution X μ X X / n or S / n σ 0 0 1 0 1 ( n ) X X X Z ~ N( , ) or T ~ t / n S / n - - - = = π ˆp For CI: 1 ˆ ˆ p( p ) n - For tests: 0 0 1 ( ) n - 0 0 0 0 1 1 p Z ~ N( , ) ( ) n - = - 1 2 d = - (Dependent Samples) d X d S / n 0 1 d ( n ) d X T ~ t S / n - - = 1 2 - (Independent Samples) 2 2 1 2 1 2 X X - 2 2 1 2 1 2 S S n n + 2 2 1 2 1 2 0 1 2 ( df ) S S T / ~ t ( X X ) n n δ =  - - + df = min of {(n 1 –1), (n 2 –1)} 1 2 - (Independent Samples) 2 2 1 2 = 1 2 X X - 1 2 1 1 pooled S n n × + 1 2 0 1 2 1 1 pooled ( df ) T / S ~ t ( X X ) n n = × + - - df = (n 1 + n 2 –2) 1 2 - (Independent Samples) 1 2 ˆ ˆ p p - For CI:
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Unformatted text preview: 1 1 2 2 1 2 1 1 p ( p ) p ( p ) n n--+ For Tests: 1 2 1 1 1 p p( p ) n n =-+ 1 2 1 2 1 2 0 1 1 1 1 p p p p Z ~ N( , ) se p( p ) n n--= = -+ [ ] 2 2 pooled 1 2 1 1 2 2 S / ( n 1) ( n 1) ( n 1)S ( n 1)S =-+- -+-...
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This document was uploaded on 11/09/2011.

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