Example sentences for: non-central

How can you use “non-central” in a sentence? Here are some example sentences to help you improve your vocabulary:

  • For simplicity, let σ 1 2= σ 2 2= σ 2. Suppose we use two-sample t-test to test H 0 : μ 1 = μ 2 against H a : μ 1 <μ 2 . Without pooling, the t statistic follows the central t distribution f ( t, df 1 ) with df 1 = 2( n - 1) under H 0 ; while under H a , it follows a non-central t distribution with df 1 and non-centrality parameter , which is inversely related to the standard deviation σ.

  • For two sided two-sample t test or experiments with more than 2 treatment groups, we can use the central and non-central F distributions rather than t distributions.

  • Many statistical software packages, such as R, S Plus or SAS, have built-in functions for both central and non-central t distributions and thus we can write programs to evaluate the power change or equivalent power curves under different pooling schemes.

  • 0 under the alternative non-central t distribution g ( t, df 1 , δ): . Now when the n samples are randomly assigned into pools of size p with equal mixing, power is decreased because the degrees of freedom are reduced to df 2 = 2( n / p - 1), which makes the tails of the central t distribution under H 0 heavier and thus the critical value t 0 * will be further from 0, while the non-centrality parameter is unchanged: (since the variance is reduced to σ 2/ p and the number of chips reduced to n / p ). However, if n + k subjects with pool size p are compared to n subjects without pooling, then the power change is not monotonic.


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